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HomeMy WebLinkAboutAttachment 2 - Lake Lure Reservoir Drain Design Report_February 2023 RESERVOIR DRAIN SYSTEM DESIGN REPORT Lake Lure Dam Town of Lake Lure Rutherford County, NC Schnabel Reference #18C21024.03 February 3, 2023 February 3, 2023 Michael Dydula Town of Lake Lure 2948 Memorial Highway Lake Lure, NC 28746 Subject: Lake Lure Reservoir Drain System Design, Town of Lake Lure, Rutherford County, North Carolina Dear Ms. Stewman: SCHNABEL ENGINEERING SOUTH, P.C. (Schnabel) is pleased to submit this report presenting our engineering services for the reservoir drain system design for Lake Lure Dam. This report was prepared in accordance with our Task Order No. 5 with the Town of Lake Lure (Town) dated May 13, 2021. We appreciate the opportunity to be of continued service for this project. Sincerely, SCHNABEL ENGINEERING SOUTH, P.C. Jonathan M. Pittman, PE Project Manager VS:CJ:JP Distribution: Town of Lake Lure (via email) Attn: Michael Dydula, Hank Perkins, Dean Lindsey, and Olivia Stewman Town of Lake Lure Lake Lure Dam Reservoir Drain System Design Report February 3, 2023 Page i Schnabel Engineering South. P.C. Project 18C21024.020 ©2023 All Rights Reserved RESERVOIR DRAIN SYSTEM DESIGN REPORT LAKE LURE DAM TOWN OF LAKE LURE RUTHERFORD COUNTY, NC TABLE OF CONTENTS 1.0 EXECUTIVE SUMMARY ............................................................................................................ 1 2.0 INTRODUCTION ........................................................................................................................ 2 2.1 Project Background 2.2 Purpose of Study 2.3 Elevation Datum and Location Control 2.4 Terminology 2.5 Site Description 3.0 FIELD INVESTIGATION ............................................................................................................. 5 3.1 Primary Goals and Objectives 3.2 Underwater Investigation with Remotely Operated Vehicle 3.3 Concrete Coring and Compression Test 4.0 HYDRAULIC ANALYSES AND DESIGN .................................................................................... 6 4.1 Baseflow Estimate 4.2 Reservoir Drain System Hydraulic Capacity 5.0 STRUCTURAL ANALYSES AND DESIGN ................................................................................. 7 5.1 Concrete Buttress and Pipe Encasement Design and Analyses 5.2 Steel Bulkhead and Concrete Portal 5.3 Trash Rack 6.0 ADDITIONAL DESIGN AND CONSTRUCTION CONSIDERATIONS........................................ 11 6.1 Construction Sequence 6.2 Schedule 6.3 Sewer Line 6.4 Foundation Preparation 6.5 Control of Water 6.6 Concrete Encasement Drain 6.7 Reservoir Drain Valves 6.8 Penetration Through Existing Arch 6.9 Welded Steel Drain Pipe 6.10 Site Access Road 7.0 LIMITATIONS ........................................................................................................................... 15 8.0 REFERENCES ......................................................................................................................... 16 Town of Lake Lure Lake Lure Dam Reservoir Drain System Design Report February 3, 2023 Page ii Schnabel Engineering South. P.C. Project 18C21024.020 ©2023 All Rights Reserved LIST OF FIGURES Included in report text: Figure 2-1. Upstream View of Lake Lure Dam LIST OF TABLES Table 2-1. Summary of Dam Dimensions APPENDICES Appendix A: Field Investigations Appendix B: Hydraulic Analysis and Design Appendix C: Structural Analysis and Design Appendix D: Construction Drawings Appendix E: Technical Specifications Town of Lake Lure Lake Lure Dam Reservoir Drain System Design Report February 3, 2023 Page 1 Schnabel Engineering South. P.C. Project 18C21024.020 ©2023 All Rights Reserved 1.0 EXECUTIVE SUMMARY Lake Lure Dam is a concrete multiple-arch buttress dam with a maximum structural height of about 124 feet. The dam is owned and operated by the Town of Lake Lure, NC. The dam includes a gated concrete gravity spillway and arch-buttress overflow sections. The Town desires to install a reservoir drain system as an initial step of the overall dam rehabilitation project to allow the Town to further lower the reservoir level to support the rehabilitation of the sanitary sewer system and facilitate other maintenance operations such as lake dredging. The drain is being designed such that it can be extended through the future design of a replacement dam located adjacent and downstream of this dam. Schnabel prepared this design report for the reservoir drain system. The proposed reservoir drain system consists of a steel bulkhead protected by a trash rack on the upstream face of the arch in Bay 5, a penetration through the concrete arch, a steel liner in a concrete encasement with an upstream knife gate valve (guard valve) and a jet flow valve at the downstream end. The jet flow valve discharges water as a “shower” onto the downstream rock and into the downstream channel. We conducted field investigations, including an underwater inspection of Bay 5 (the bay selected for the reservoir drain system installation) and concrete compressive strength testing. A remotely operated underwater vehicle was used for the underwater inspection on the upstream face of the dam to evaluate sediment levels and concrete condition between Bays 4 to 6. The concrete arch upstream face was generally covered with sediment and debris, and sediment levels were similar to the levels indicated in the 2019 bathymetric survey performed by Ed Holmes & Associates. Six concrete cores were taken, two from the start er block and two from each buttress in Bay 5, and tested for compressive strength. The average compressive strength was 2,890 psi with a standard deviation of ± 677 psi. The material compressive strength results were incorporated into the structural models and analyses. The reservoir drain system was sized so that the capacity of the system is larger than the winter baseflow in the watershed. A baseflow of 325 cubic feet per second (cfs) was used as the amount of baseflow the reservoir drain system is required to pass, which is slightly larger than the largest historic daily median value of 310 cfs in March from the USGS gage data. The approximate discharge velocity at the jet flow valve is approximately 57 feet per second through the orifice at full open during normal pool conditions. The jet flow valve is required to have a minimum coefficient of discharge of 0.84 to provide a minimum of 1,200 cfs discharge at 80 feet of net head under full flow conditions. The maximum design fluid velocities through the reservoir drain pipe and knife gate are 42 feet per second. A concrete encasement was designed to encapsulate and protect the new reservoir drain pipe. Schnabel prepared finite element models (FEMs) to evaluate Bay 5 with the penetration through the concrete arch and the proposed concrete encasement. Load cases such as normal pool and probable maximum flood (PMF) were applied to the models to evaluate the proposed concrete encasement. The model results indicate that the additional hydrostatic PMF forces would be transferred to the concrete encasement. Reinforcing steel dowels are included in the design to resist the shear and uplift forces due to PMF loading and tie the encasement to the existing starter block and rock foundation due to the governing loads from the PMF load case. Furthermore, the FEM results show stress concentrations around the drain opening in the arch. The concrete encasement is designed to support the potentially weakened existing concrete arch lifts at the location of the arch penetration for the reservoir drain. Town of Lake Lure Lake Lure Dam Reservoir Drain System Design Report February 3, 2023 Page 2 Schnabel Engineering South. P.C. Project 18C21024.020 ©2023 All Rights Reserved 2.0 INTRODUCTION 2.1 Project Background Lake Lure Dam and its associated impoundment are owned and operated by the Town of Lake Lure (Town) and serve as the centerpiece of the community. The dam is a concrete multiple-arch buttress dam with a maximum height of about 124 feet. The dam also includes a gated concrete gravity spillway and an intake tower and penstock that supply water to a hydroelectric generating station located within Bay 7 of the dam. The dam was designed by Mees and Mees of Charlotte, NC, and construction was completed in September 1926. Lake Lure Dam is regulated by NCDEQ Dam Safety as a very large, high hazard potential structure. Marks Enterprises of NC, PLLC (Dr. Dan Marks) was hired by the Town in 2016 to perform an inspection of the dam. The findings and recommendations from Dr. Marks’ work are included in his Phase I Study dated September 2017, and Phase II Study dated February 2018. In May 2018, NCDEQ Dam Safety issued a letter to the Town and Dr. Marks requesting additional investigations and engineering analyses and clarifications on several of Dr. Marks’ recommendations. The primary additional information requested by NCDEQ Dam Safety included finite element modeling to further evaluate the stability and anticipated structural performance of the dam, underwater investigations and non-destructive testing of the upstream face of the dam, hydrology and hydraulic (H&H) modeling of the dam and spillway, and preparation of an Emergency Action Plan (EAP). In August 2018, the Town selected Schnabel to address the requests from NCDEQ Dam Safety and perform an updated condition assessment of the dam. The scope of services included a review of available information, topographic and bathymetric surveys, a visual inspection of the dam and appurtenances, an underwater investigation of the dam, geologic mapping, finite element stability analyses, preliminary scour analyses, and hydrologic and hydraulic analyses. The condition assessment results were presented in our Condition Assessment Summary Report provided to the Town on February 28, 2019. Updating the dam’s Emergency Action Plan (EAP) and breach inundation maps and developing a spillway gate operations plan were also included as additional tasks. Based on the results of this condition assessment, Lake Lure Dam was determined to be in overall fair condition considering its age. However, multiple items were identified that warrant repair, monitoring, and/or additional investigation or assessment. In addition, the dam does not meet NCDEQ Dam Safety requirements for hydraulic capacity for the design storm and structural stability under seismic loading conditions. The concrete gravity gated spillway sections also do not meet global stability requirements for the load cases analyzed, and there is no functional reservoir drain. Following the condition assessment, the Town requested that Schnabel evaluate alternatives to rehabilitate the existing dam to address the dam safety deficiencies discussed above to meet NCDEQ Dam Safety requirements. Schnabel evaluated two alternatives to rehabilitate the existing dam and one alternative to replace the existing dam with a new roller compacted concrete (RCC) gravity dam immediately downstream of the existing dam. The results of this assessment are included in Schnabel’s Alternatives Analysis Report dated May 19, 2020. Town of Lake Lure Lake Lure Dam Reservoir Drain System Design Report February 3, 2023 Page 3 Schnabel Engineering South. P.C. Project 18C21024.020 ©2023 All Rights Reserved On February 9, 2021, the Town adopted a policy for proceeding towards the design and construction of the replacement dam as the preferred dam rehabilitation alternative. During the same meeting, the Town adopted a timeline to construct the replacement dam within about 10 years. In conjunction with the dam replacement project, the Town is also implementing a plan to upgrade and replace the subaqueous sanitary sewer system that runs through the lake and the dam, which is scheduled to occur over the next two to three years. In order to support the sanitary sewer work and address NCDEQ Dam Safety’s requirement for a functional reservoir drain, the Town requested that Schnabel proceed with the design of a reservoir drain system in the existing dam as the initial phase of the dam rehabilitation project. 2.2 Purpose of Study This report aims to provide the summary of analyses and investigations conducted under the scope of the Work Order No. 5 and prepare design documents appropriate for permitting, bidding, and constructing the reservoir drain system. Services for this project were performed under the supervision of Professional Engineers licensed in the State of North Carolina. 2.3 Elevation Datum and Location Control Elevations in this report are in feet and reference the North American Vertical Datum of 1988 (NAVD 88) based on the 2018 survey by Ed Holmes and Associates. The abbreviation “EL” represents NAVD 88 Elevation in feet unless expressed otherwise. The original 1925 design drawings reference Mean Sea Level (MSL), which requires a vertical datum shift of -0.46 feet to NAVD 88 (i.e., ELMSL – ELNAVD 88 = 0.46 feet). 2.4 Terminology Descriptive nomenclature for dams is based upon one looking downstream. The terms “right” and “left” are referenced in this manner. The reservoir side is known as “upstream” with the opposite side of the dam referred to as “downstream”. 2.5 Site Description Lake Lure Dam is a concrete multiple-arch buttress dam with 10 interior bays separated by buttress walls and three gated spillways with concrete ogee gravity sections. It is located at latitude 35.425119°N and longitude 82.183167°W, in Rutherford County, NC. Figure 2-1 illustrates the overall view of the dam (looking downstream). The bays were sequentially numbered from the left to the right side of the dam. As shown in the figure, a single-lane reinforced concrete bridge bears on the buttresses and left and right- end abutments (retaining walls). The height and length of the dam are 124 feet and 480 feet, respectively (USACE, 1981). The dam also includes an intake tower and penstock that supply water to a hydroelectric generating station located within Bay 7 on the downstream side of the Bay 7 arch. The hydroelectric generators are typically run on a continuous basis, and the electricity produced is sold to Duke Energy. Although the dam produces hydroelectricity, the dam is exempt from regulation by the Federal Energy Regulatory Commission (FERC). Town of Lake Lure Lake Lure Dam Reservoir Drain System Design Report February 3, 2023 Page 4 Schnabel Engineering South. P.C. Project 18C21024.020 ©2023 All Rights Reserved Figure 2-1. Upstream View of Lake Lure Dam Lake Lure has a surface area of 720 acres with approximately 27 miles of shoreline at the normal operating pool (normal pool). The reservoir level is normally controlled by the flow of water into the intake structure for the hydroelectric generators. The intake structure, which is located about 100 feet upstream of the crest of the dam, is an approximately 120-foot high concrete tower with a concrete base and a 10.5-foot diameter steel penstock. The top of the intake tower contains a metal trash rack surrounding a cylindrical gate, which can be raised or lowered by an electric hoist to regulate flow into the penstocks. The control for the hoist and gate is located in the powerhouse. During flood events, reservoir levels are controlled by opening one or more of the three radial (Tainter) gates located in Bays 1 through 3. The gates are operated using the hoists located along the small concrete access bridge (hoist platform) above the gates. A summary of the key existing dam elevations and dimensions obtained from the 2018 survey are included in the table below. Table 2-1. Summary of Dam Dimensions Gate Types: 3 Tainter (Radial) Gates, 1 Trash (Radial) Gate Spillway Gate Dimensions: Gate Width = 25 feet, Gate Height (closed) = 15.0 feet, Bay Height = 22.2 feet Spillway Gate Elevations: Ogee Crest = EL 976.5, Top of Gate (closed) = EL 991.5, Bottom of Bridge = EL 998.7 Trash Gate Dimensions: Gate Width = 6 feet, Gate Height (closed) = 7.6 feet, Bay Height = 10.3 feet Trash Gate Elevations: Weir Crest = EL 988.4, Top of Gate (closed) = EL 996, Bottom of Bridge = EL 998.7 Low-Level Arches (4&5): No. of Arches = 2, Length (each) = 47.6 feet, Crest Elevation = EL 992.6 Mid-Level Arches (9-13)*: No. of Arches = 4, Length (each) = 47.6 feet, Crest Elevation = EL 994.5 High-Level Arches (6-8): No. of Arches = 3, Length (each) = 47.6 feet, Crest Elevation = EL 1000.5 * Arch No. 13 is blocked Historically, the dam has performed well. Maintenance activities have been confined primarily to the powerhouse equipment, tower intake gate, and spillway gates. No significant concrete repairs or other structural modifications have reportedly been made to the structure (DTA, 2006/2007). A subaqueous sanitary system was also constructed at the same time as the dam was constructed. It includes a cast iron gravity sewer with an approximate length of fourteen miles (LaBella, 2020). The sewer lines were installed on concrete collars and wooden cribbing, as indicated in the LaBella report. The cast iron pipe ranges in size from 8 inches to 12 inches. The sewer line passes through the Bay 5. Town of Lake Lure Lake Lure Dam Reservoir Drain System Design Report February 3, 2023 Page 5 Schnabel Engineering South. P.C. Project 18C21024.020 ©2023 All Rights Reserved 3.0 FIELD INVESTIGATION 3.1 Primary Goals and Objectives Additional information on the dam was required to support the reservoir drain design. This task included the underwater investigation of the upstream face of the dam between Bays 4 to 6 using an underwater remotely operated vehicle (ROV) and material testing (compression tests) of concrete cores. The underwater investigation was performed to determine the debris conditions on the upstream face of the dam and the location of the sediment level. The condition of the concrete cores and laboratory test results provided additional information on the engineering properties of the existing concrete for incorporation into the structural analyses and design of the reservoir drain system. 3.2 Underwater Investigation with Remotely Operated Vehicle Schnabel and subcontractor Glenn Underwater Services performed an underwater investigation of the upstream side of the dam in the vicinity of the planned reservoir drain using a remotely operated vehicle (ROV). The investigation was performed on June 18, 2021, and followed the center of the arch from the water surface down to the sediment level. There was sediment and some woody debris deposited on the arch full height of the sloped portion. The sediment level was identified on the lake bottom so that the new reservoir drain can be located above the lake bottom to reduce the amount of sediment and debris cleaning required and reduce the impact of ongoing sedimentation. The center of the arches at adjacent Bays 4 and 6 were also inspected and the sediment levels were within a range of approximate EL 898 to EL 901, which is similar to the sediment levels indicated on the January 9, 2019 survey by Ed Holmes & Associates. A summary of observations from the underwater investigation is presented in Appendix A.1. 3.3 Concrete Coring and Compression Test Under the supervision of Schnabel, a concrete coring subcontractor (Penhall Company) took six cores from the structural components of Bay 5 on June 6, 2021 (two cores from each of the buttresses, two cores from the starter block). The concrete cores were sent to S&ME Inc. f or the compression tests. The results show the average compressive strength of 2,890 psi with the standard deviation of ± 677 psi. The test report and coring details are presented in Appendix A.2. Town of Lake Lure Lake Lure Dam Reservoir Drain System Design Report February 3, 2023 Page 6 Schnabel Engineering South. P.C. Project 18C21024.020 ©2023 All Rights Reserved 4.0 HYDRAULIC ANALYSES AND DESIGN 4.1 Baseflow Estimate The reservoir drain system was sized so that the capacity of the system is larger than the historic winter baseflow. The baseflow was estimated based on the historical data recorded from 1927 to 1958 at USGS stream gage 02148500 Broad River near Chimney Rock, NC. The gage was located immediately downstream of the dam. The mean monthly flow shows that the highest baseflow occurs during February and March and the lowest occurs in June and July. The largest daily median value from this data set is 310 cubic feet per second (cfs), which occurred in March. To be conservative, a baseflow of 325 cfs was used as the baseflow the reservoir drain system is required to pass. 4.2 Reservoir Drain System Hydraulic Capacity The capacity of the reservoir drain was modeled as a 6-foot diameter, steel pipe. The losses through the pipe system include the 45-degree bend, 22.5-degree bend, entrance and exit conditions, the knife gate, and the jet flow valve for a total K loss value of 3.8, which is a constant directly proportional to the pressure drop across the valve. Below is a summary of the pipe capacity at a range of reservoir elevations. Reservoir Elevation (ft) Drain flow (cfs) 990.5 (normal pool) 927 971 819 950 684 935 569 920 423 The capacity of the reservoir drain system is larger than the historic winter baseflow indicating the system is large enough to drain the lake during non-storm conditions. The approximate discharge velocity at the jet flow valve is approximately 57 feet per second through the orifice at full open during normal pool conditions. The jet flow valve is designed to have a minimum coefficient of discharge of 0.84 to provide a minimum of 1,200 cfs discharge at 80 feet of net head under full flow conditions, which are expected to provide ample buffer to achieve the site conditions described above. Hydraulic calculations for the jet flow valve are included in Attachment B. The knife gate has the same nominal diameter (72 inches) as the drain pipe and has estimated hydraulic losses as shown in Attachment B. The maximum design fluid velocities through the pipe and knife gate are 42 feet per second. Town of Lake Lure Lake Lure Dam Reservoir Drain System Design Report February 3, 2023 Page 7 Schnabel Engineering South. P.C. Project 18C21024.020 ©2023 All Rights Reserved 5.0 STRUCTURAL ANALYSES AND DESIGN This section includes the structural analyses and designs for the concrete encasement, steel bulkhead, concrete portal, and other structural components of the reservoir drain system. The primary focus of the structural analysis is the distribution of stresses from the existing concrete arch to the new concrete encasement for the reservoir drain. This focus is evaluated in the following section for the concrete encasement. 5.1 Concrete Buttress and Pipe Encasement Design and Analyses A concrete buttress with a conduit blockout for installing the welded steel pipe is cast in place against the downstream face of the arch as determined by structural analysis. The buttress is designed to reinforce the existing arch and allow the pipe penetration to be cut through the existing arch in Bay 5 after buttress installation. The conduit is sized for inserting the welded steel pipe with minimum clearance for constructability. The annulus between pipe, collar, dam and buttress will be infilled with grout or concrete after welded steel pipe installation. The concrete will be placed in multiple horizontal lifts and exposed faces of each lift, will be reinforced to control cracking due to temperature and shrinkage, and will require a thermal control plan in accordance with ACI’s mass concrete provisions. The buttress and pipe encasement concrete mix requirements will include a shrinkage compensating admixture to counteract volumetric shrinkage that could increase cracking or create separation from the existing arch. Schnabel performed 3D structural Finite Element (FE) analyses of Lake Lure Dam with the proposed concrete encasement to evaluate the structural adequacy of the encasement. In addition, the stability of Bay 5 was evaluated with/without encasement. The FE analyses were performed using LS-DYNA version R 12.0, a double-precision shared memory parallel processing (SMP) solver. The model geometry and meshing were developed using TrueGrid software (version 4.01). The model includes Bay 5 with two similar bays on each side of Bay 5. Bay 5 includes the three lowest lift lines in the arch to resemble the real condition of the bay and allow the stresses to transfer from the arch to the encasement. The side bays have the same geometry as Bay 5, except that only the lowest contact between the arch and starter block was modeled. The side bays were modeled to minimize the boundary effects on the analysis results of Bay 5. The models were analyzed under different load cases such as normal pool considering Bay 5 without/with encasement and during construction, and probable maximum flood (PMF), in accordance with FERC guidelines. Two types of models were considered for each loading based on the contact types. In the first type, all contacts in the dam were frictional (mortar contact) except for the contacts between the arch and buttresses, which were mortar tie. In the second type of models, all contacts were frictional without any exception. The analysis results show that the concrete encasement is stable for most load cases but does not satisfy the minimum stability requirements per FERC guidelines if no anchors into the rock foundation are provided. The concrete encasement is detached from the arch under the PMF load following the normal pool hydrostatic load. Therefore, steel dowels were designed to tie the encasement bottom surface to the starter block and the encasement to the bedrock. The dowels can resist the shear demand force applied due to the additional PMF hydrostatic loading. Town of Lake Lure Lake Lure Dam Reservoir Drain System Design Report February 3, 2023 Page 8 Schnabel Engineering South. P.C. Project 18C21024.020 ©2023 All Rights Reserved The stress concentration might be formed around the drain opening in the arch. However, the encasement provides support for the potentially cracked and weakened sections around the opening drain in the arch. To reduce potential seepage between the existing Bay 5 arch and the new concrete encasement, a hydrophilic waterstop will be installed at the interface between these two blocks of concrete. Also, waterproof grouting will be placed between encasement and the arch. To reduce the shrinkage of the new concrete encasement, a shrinkage-compensating admixture is included in the concrete mix specifications and temperature and shrinkage reinforcement has been designed at all new exposed concrete faces. Due to the large size of the new concrete encasement, mass concrete provisions are specified in accordance with American Concrete Institute (ACI) requirements. The details of the structural analysis and design of the encasement can be found in Appendix C.1. 5.2 Steel Bulkhead and Concrete Portal A steel bulkhead was designed to be placed on the upstream face of the dam at the new penetration for the reservoir drain. The bulkhead is hinged at the top and operated by a hoist mounted to the trash rack above the bulkhead. The bulkhead will seal with an O-ring against a new precast reinforced concrete portal placed on the upstream face of the dam prior to creating the new penetration through the Bay 5 arch for the reservoir drain. The precast concrete portal will be anchored and grouted against the upstream face of the dam. During normal conditions, the bulkhead will be left in the open position, but can may be closed in case of emergency or need to inspect or service the knife gate or jet flow valve, or reservoir drain welded steel pipe. The concrete portal is reinforced with temperature and shrinkage steel reinforcement in accordance with ACI 350. The portal was provided as a bearing surface for the steel bulkhead. The portal consists of a precast concrete collar projecting approximately two feet (minimum) perpendicular to the inclined face of the dam at the centerline of the curved surface conforming to the face of the dam. The collar has a minimum thickness of approximately two feet and the upstream side is a flat plane parallel matching the inclined face of the dam. The portal entrance has a radiused lip (5 inches) at the 71-inch diameter opening to reduce hydraulic entrance losses. For durability, the minimum design concrete compressive strength is 4,500 psi. Embedded in the upstream face around the portal entrance is a round stainless- steel bearing plate. Bolted to the face plate is a bulkhead with O-ring seal and hinges on the top edge. Threaded inserts are located in the face plate for bolting the door. The bulkhead can be unbolted from the seal plate and lifted upwards to open the portal. A fill valve (pressure relief) is installed in the bulkhead door. The concrete face of the portal contacting the dam has a grout bearing pad around the entire perimeter bearing area. Bent plates are provided around the perimeter of the collar for anchorage to drill holes into the dam and to install bolts to attach the concrete portal to the face of the dam. Lifting lugs shall be included so that the concrete portal can be precast, picked by a crane, and lowered into place on the upstream face of the Bay 5 arch to divers for installation. Calculations for the steel bulkhead are included in Appendix C.2. Town of Lake Lure Lake Lure Dam Reservoir Drain System Design Report February 3, 2023 Page 9 Schnabel Engineering South. P.C. Project 18C21024.020 ©2023 All Rights Reserved 5.3 Trash Rack The reservoir drain trash rack structure will consist of a prefabricated structural steel frame conforming to the curvature of the arch, which will be field verified by the contractor after cleaning of sediment and debris off the face of arch. The steel trash rack will be mounted to the upstream face of the dam on the Bay 5 arch. The trash rack will reduce the amount of debris impacting the reservoir drain system. The structure will be a box shape, having vertical side walls and a vertical upstream face. The structure will have trash rack bars on part of the side walls and upstream face. The upstream trash rack will have bars in a panel as a door(s), hinged at one (or both) side(s) to swing out (upstream) and allow entry into the structure. The trash rack is open on the upstream face and sides. The top and downstream side of the trash rack are closed to reduce the amount of settling debris or sediment that would potentially clog the trash rack or reservoir drain. Final design of the trash rack has been delegated to the contractor’s engineer per the proposed design documents. The trash rack will contain bar grating backed by steel support framing anchored to the upstream face of dam.The trash rack design requirements are based on recommendations by the US Bureau of Reclamation, Design Standards No. 6, Hydraulic and Mechanical Equipment, Chapter 12 (USBR, 2016). Design loading per the USBR is to be followed: “Totally submerged trashracks and trashracks that are submerged more than 20 feet of head should be designed to fail at approximately 20 feet of differential head; assuming that the trashrack structure is designed to withstand greater than 20 feet of differential head.” This provision provides a conservative design for extreme blockage of the bar racks and their failure without total collapse of the surrounding frame. The trash rack is to be shop constructed, requiring only bolting together on site. The fabricator/site contractor who shall be responsible for shipping components can determine how much to pre-connect based on transportation considerations and prepare shop drawings accordingly. Schnabel has provided the overall design concept showing dimensions, trash rack areas, proposed connection locations and panel subdivisions that may or may not be used, together with an accompanying specification. As required by the specification in Appendix E, the contractor shall provide design, shop drawings and details conforming to the design concept on the drawings and specification. The entire structure shall be shop assembled for inspection, disassembled and painted prior to shipping. The design consists of two outer frames spaced 12.5’ (minimum) apart inside. The frames are in three pieces with bolted connections -two wide flanges bolted between the frames parallel to the face of the dam and inset to the frame to clear the curvature of the dam. The purpose of the upper horizontal member is to allow the trash rack to be set onto the portal and not slide down the dam during bolting to the dam. Six additional horizontal wide flanges parallel to the face of the dam provide lateral support from hydrostatic loads on the sides of the structure and provide backing for vertical trash rack bars on the upstream face. Four wide flanges, horizontal and normal to the face of the dam, provide support for hydrostatic loads on the face of the structure and backing support for vertical trash racks on the sides. Two flat bars extend from the upper frame arm to the lower frame arm along the face of the dam and are tilted slightly to the curvature of the dam. These allow the frame to skid down the face of the dam and to be attached. Three outside mounting clips will be provided along the flat bars contacting the dam at the top bottom and middle. These clips shall be used to bolt six, 1-inch diameter anchors into the dam. Clips will be provided with attachment points for underwater drill equipment. This completes the outer frame. Town of Lake Lure Lake Lure Dam Reservoir Drain System Design Report February 3, 2023 Page 10 Schnabel Engineering South. P.C. Project 18C21024.020 ©2023 All Rights Reserved Solid panels will be designed to line the roof surfaces and floor. For shipping purposes, the roof panels can be divided if desired. The panels are proposed to be plate steel with backing ribs spanning between side frames. The side frames will have clip angles welded on which the panels bear on and bolt to. The panels are proposed to be 10-gauge (minimum) steel plate over steel angles at 12” O.C. spanning between frames. No connection between panels is required and the edge against the dam has the last angle very near contact at centerline of portal and plate edges cantilevered and cut to the radius of the arch. A tight fit is not required and a 1-inch gap should be provided. The upstream face shall be two panels with vertical trash rack bars of ½” x 4” at 4” O.C. The panels shall bear against the three inset horizontal wide flanges. The panels shall have hinges on the outer frames and a gravity latch to the intermediate beam. Vertical bars shall have intermediate horizontal support dividing the height into not greater than 30” lengths with diagonal flat bars welded across the inside face (not interfering with horizontal beam contact) and banding at top and bottom. The side faces shall have one approximate 9’-6” wide panel of trash rack bars that fits the width of the top horizontal frame. The bars will bear upon the intermediate inset wide flanges and inset angles welded to the top and bottom frame members. The bottom of the panel conforms to the sloped leg of the outer frame and face of the dam with clearance. The remaining side area from the sloped top frame member to the dam is covered with a solid panel constructed like the roof panels although the span is less due to the intermediate wide flange frame members and thus may be lighter rib construction. A boxed in frame opening on the roof shall support a hand operated screw jack actuator that will connect via a rod to the portal door. The actuator shall pivot to accommodate door and actuator rod swing as the portal is opened. At full open the door shall be slightly greater than 90 degrees of swing and bear against stops on each side of the actuator rod to tightly secure the door in the open position and prevent flutter of the door during flow through the portal. Town of Lake Lure Lake Lure Dam Reservoir Drain System Design Report February 3, 2023 Page 11 Schnabel Engineering South. P.C. Project 18C21024.020 ©2023 All Rights Reserved 6.0 ADDITIONAL DESIGN AND CONSTRUCTION CONSIDERATIONS 6.1 Construction Sequence The general construction sequence is as follows: • Drill one 1-1/8” diameter hole from downstream though the arch at center of penstock • Insert a threaded 1” diameter rod (attached to a backing plate and seal) through the hole and secure on the downstream face. • Install the precast portal (without the bulkhead door) on the face of the dam centered on the projecting rod. o The portal is equipped with a temporary centering frame through which the rod extends, and a nut is used to temporarily tension the portal against the face of the dam. o Secure the portal by installing a drill to provided anchorages and drilling anchors through the perimeter holes provided and into the face of the dam. Tension and grout the portal anchor bolts. o Remove the center tensioning nut and temporary centering frame from the portal. o Seal the inside and outside perimeter of the portal collar with an underwater epoxy such as Splash Zone. o Grout the contact zone of the portal and dam face through the lower portal ports with an epoxy non-shrink grout until return is consistent at upstream ports. o Install the bulkhead door and bolt to the seal ring with the small fill valve on the door open. Cut off a length of the centering rod if needed. • Construct the reinforced arch buttress. • Close the bulkhead door fill valve. • Remove the rod from the downstream side and ensure no leakage of the portal and bulkhead. o Take remedial measures to stop leakage as appropriate. • Drill eight perimeter holes for wire sawing the octagonal opening. • Core drill an access hole in center (or others as approved) for manipulating the diamond wire out of one perimeter hole into another hole. • Wire saw the perimeter and remove the concrete block. o The contractor may choose to wire saw one or more diagonals across the perimeter to reduce the size of the blocks for removal. • Install the reservoir drain pipe. o Joints to be planned and where no exterior access is available use exterior backing plate on the bottom half of the upstream section with the downstream section set onto the plate and having a backing plate on the top half. Complete a full penetration weld from interior of the pipe. The middle miter joint of the 45-degree bend is suggested as a single field joint. • Grout or concrete the annulus between penstock, portal collar, dam and reinforced arch buttress. • Install guard valve, bypass fill valve and downstream expansion/dismantling joint. • Install reservoir drain pipe, bends and discharge valve. o Concrete encase where planned. • Leak test the system by opening the bulkhead fill valve • Install the prefabricated intake structure Town of Lake Lure Lake Lure Dam Reservoir Drain System Design Report February 3, 2023 Page 12 Schnabel Engineering South. P.C. Project 18C21024.020 ©2023 All Rights Reserved • Open the trash rack doors, connect the actuator rod to the bulkhead door and unbolt the door. • Raise the bulkhead on its hinges to the stop position. • Install recessed socket head plug screws in the bolt positions to protect the threads. • Close trash rack doors. • Conduct test flows. 6.2 Schedule The longest lead time products for this project are expected to be the knife gate and the jet flow valves, which are expected to be about 10 months based on discussions with the valve suppliers. The Town is procuring the valves directly and providing them to the reservoir drain contractor for installation, testing, and commissioning. Bidding for the reservoir drain construction is underway with a Notice-to-Proceed expected in April 2023. The anticipated duration for reservoir drain installation is approximately five months from site mobilization to demobilization. It is expected that some site mobilization and prep work will occur prior to delivery of the valves. Delays in delivery of the valves and large reservoir inflows during construction of the reservoir drain system could result in construction delays. 6.3 Sewer Line A portion of the existing 18-inch ductile iron sanitary sewer line will be removed and rerouted to cross below the reservoir drain pipe. A temporary bypass is required from the existing blow-off location to discharge into the existing wet well of the lift station and keep the sewer line in service at all times. Outside of the encasement footprint, the sewer line is supported on cast-in-place concrete cradles with pipe straps, 20 feet on-center maximum. After cleaning the Bay 5 foundation to rock, backfill/leveling concrete will be placed to provide a level working pad to install the first left of the encasement. Once the first concrete lift of the encasement is placed, coarse aggregate will be placed either side of the first lift and subsequent lift of the pipe encasement to provide a permeable walking surface above the normal water line downstream of Bay 5. 6.4 Foundation Preparation The foundation below the new reservoir drain pipe encasement will be cleaned to competent rock as determined in the field by the Engineer. Care shall be taken to avoid undermining the existing Bay 5 buttresses and starter block. As mentioned in 6.3, leveling concrete will be placed to provide a working platform for the concrete encasement and to protect the cleaned rock surface. 6.5 Control of Water The contractor will be responsible for diverting reservoir water and surface water runoff from rain events away from the construction site. This includes construction and diversion sequencing, diversion structures and facilities, coordination with other affected constructions activities, and the installation and removal of temporary facilities. The Owner will be responsible for spillway gate operations during construction. The Contractor is responsible for coordinating with the Owner regarding spillway gate operations. The tailwater is expected to vary depending on inflows with typical conditions as noted in Section 6.10 of this report. Town of Lake Lure Lake Lure Dam Reservoir Drain System Design Report February 3, 2023 Page 13 Schnabel Engineering South. P.C. Project 18C21024.020 ©2023 All Rights Reserved 6.6 Concrete Encasement Drain A foundation drain will be installed below the new concrete encasement to reduce uplift pressures on the encasement and control seepage. The drain will be placed immediately downstream of the existing starter block in Bay 5 and will consist of 6-inch diameter plastic pipe. The pipe will consist of a section of slotted pipe surrounded by drainfill and a solid wall pipe to convey the seepage out of the concrete encasement. The drainage may be affected by the extent of the leveling concrete and adjusted to be located above the leveling concrete. The sizing of the 6-inch pipe was based on the estimated permeability of the underlying rock and engineering judgement. For the effect on uplift pressure below the concrete thrust block and concrete encasement, it was assumed that the drain would collect seepage at 50% efficiency. The drain pipe will be oriented in the cross-canyon direction and outlet either side of the pipe encasement on the downstream vertical face of the full bay width concrete. The drains outlet into the coarse aggregate backfill, which will be screened from the drain pipes. 6.7 Reservoir Drain Valves One knife gate and one jet flow valve will be in line with the reservoir drain system. The upstream valve is a 72-inch-diameter knife gate valve (guard valve). The guard valve is intended to be normally operated under balanced head without flow. However, the gate is also suitable for emergency closure under full flow and head. The downstream side of the gate is bolted to a flanged pipe stub for a Dresser coupling. The gate is supported on feet that are anchored to a new concrete base, which will be part of the drain pipe encasement. The downstream valve is a jet flow valve (discharge valve) 72-inch nominal diameter with a 60-inch orifice and 84-inch outlet diameter (discharge hood). The discharge valve will be angled upward at 22.5 degrees from horizontal to project the discharge over the existing sewer pipe and discharge (shower) onto the boulders and bedrock downstream of the dam before draining into the existing river channel. The discharge valve is supported on feet that are anchored to a new concrete base and frame braced by kicker supports to the new concrete encasement. Both guard valve and jet flow valve are equipped with electric motor operators, requiring power supply and controls to be provided in the powerhouse. In addition, both gate and valve contain handwheels for local manual operation. During normal conditions, the guard gate will be left in the open position, and the discharge valve will be closed (i.e., the encased pipe will be charged). These valves were specified in a separate design package included in a memo dated December 30, 2021 (Schnabel 2021). A six-inch bypass pipe with fill valve will be provided around the guard gate to fill the downstream section of pipe prior to opening the guard gate. 6.8 Penetration Through Existing Arch The new dam penetration for the reservoir drain through the Bay 5 arch consists of an octagonal diamond wire cut portal through the dam, 76” across the flat faces and 82-1/4”” across drilled wire access points contained within the sealed surface of the bulkhead. Access for the wire cutting will be through the 18- inch diameter hole that will be cut once pressure is relieved on the upstream face of the arch using the portal and bulkhead. Town of Lake Lure Lake Lure Dam Reservoir Drain System Design Report February 3, 2023 Page 14 Schnabel Engineering South. P.C. Project 18C21024.020 ©2023 All Rights Reserved 6.9 Welded Steel Drain Pipe A 72-inch diameter welded steel pipe will be installed perpendicular from the face of the dam at a 45- degree (2 pipe diameter radius) downward angle turning to horizontal with a 4-piece miter bend (3 miter joints at 15°) and connecting to a 72-inch guard valve. The pipe will then pass through a dismantling/expansion joint extended to a downstream discharge valve. A 22.5 degree (2 pipe diameter radius) 3-piece miter bend (2 miter joints at 11.5°) turns the flow upward just before the discharge valve. The pipe is concrete encased except at the valves, which remain exposed to potentially allow future removal and reuse of the gate and valve. 6.10 Site Access Road A minimum 12-foot wide temporary access road will be constructed in general accordance with NCDOT standards to cross the river from the right side to the left side . The access will be capable of handling the anticipated construction loads, including a minimum of a 40-ton articulated dump truck (approximately 80,000 lbs). The top of the river crossing will be above the 10-year storm tailwater elevation, EL 894.5, and will include culverts designed to pass up to 500 cfs from the hydroelectric operations. Upon completion of the reservoid drain construction, the river crossing will be left in place for the Owner’s use for future field investigations for the planned replacement dam. Town of Lake Lure Lake Lure Dam Reservoir Drain System Design Report February 3, 2023 Page 15 Schnabel Engineering South. P.C. Project 18C21024.020 ©2023 All Rights Reserved 7.0 LIMITATIONS The analyses and recommendations submitted in this report are based on the information revealed by our exploration, comparisons to other projects similar in nature, and to the current economic environment. Schnabel has attempted to provide for normal contingencies, but the possibility remains that unexpected conditions may be encountered during construction. Schnabel has endeavored to complete the services identified herein in a manner consistent with that level of care and skill ordinarily exercised by members of the profession currently practicing in the same locality and under similar conditions as this project. No other representation, express or implied, is included or intended, and no warranty or guarantee is included or intended in this report, or any other instrument of service. Town of Lake Lure Lake Lure Dam Reservoir Drain System Design Report February 3, 2023 Page 16 Schnabel Engineering South. P.C. Project 18C21024.020 ©2023 All Rights Reserved 8.0 REFERENCES American Concrete Institute (2006). Code Requirements for Environmental Engineering Concrete Structures and Commentary (ACI 350-06). Farmington Hills, MI. American Concrete Institute (2000). Service-Life Prediction. ACI 365.1R-00. DTA (2006). “Lake Lure Dam Independent Consultant Dam Safety Inspection.” Devine Tarbell & Associates, Inc., Charlotte, NC. November 2006. DTA (2007). “Lake Lure Dam Independent Consultant Post Earthquake - Dam Safety Inspection.” Devine Tarbell & Associates, Inc., Charlotte, NC. December 2007. Ed Holmes & Associates Land Surveyors, P.A. (2019). “Lake Lure Dam – Existing Conditions Survey.” Asheville, NC. January 9, 2019. Federal Energy Regulatory Commission (2016). Engineering Guidelines for the Evaluation of Hydropower Projects, Chapter 3 – Gravity Dams. Federal Energy Regulatory Commission (1997). Engineering Guidelines for the Evaluation of Hydropower Projects, Chapter X – Other Dams. Federal Energy Regulatory Commission (2018). Engineering Guidelines for the Evaluation of Hydropower Projects, Chapter 11 – Arch Dams. LaBella (2020). Subaqueous Sanitary Sewer and Wastewater Treatment Plant Technical Memorandum Final. Livermore Software Technology Corporation (2018). LS-DYNA Keyword User’s Manual Volume I. Livermore, CA. Livermore Software Technology Corporation (2018). LS-DYNA Keyword User’s Manual Volume II Material Models. Livermore, CA. Marks Enterprises of NC, PLLC (2017). Phase I Dam Safety Inspection Report, Lake Lure Dam and Appurtenances. Marks Enterprises of NC, PLLC (2018). Phase II Report, 2017 Dam Safety Inspection, Lake Lure Dam and Appurtenances. Marks Enterprises of NC, PLLC, February 2018. Mees and Mees (1925). Design Drawings, August 1925. PTI-DC35.1-14 (2014). Recommendations for Prestressed Rock and Soil Anchors. Schnabel Engineering South, P.C. (2018). Review of Available Information, Lake Lure Dam (RUTHE- 003). January 25, 2019 Schnabel (2019). “Lake Lure Dam – Condition Assessment Summary Report.” Schnabel Engineering South, P.C., Greensboro, NC. February 28, 2019. Town of Lake Lure Lake Lure Dam Reservoir Drain System Design Report February 3, 2023 Page 17 Schnabel Engineering South. P.C. Project 18C21024.020 ©2023 All Rights Reserved Schnabel Engineering South, P.C. (2021). Reservoir Drain Valves Memorandum. December 30, 2021. Schnabel (2019). “Lake Lure Dam – Stability Analysis Report.” Schnabel Engineering South, P.C., Greensboro, NC. February 28, 2019. Schnabel Engineering South, P.C. (2018). Task 3C Lake Lure Dam Visual Inspection Report. December 7, 2018. Schnabel (2018). “Lake Lure Dam – Rock Core Review and Geology Mapping Memorandum.” Schnabel Engineering South, P.C., Greensboro, NC. December 6, 2018. Schnabel (2018). Lake Lure Dam Dr. Marks Report Review Comments. Schnabel Engineering South, P.C., Greensboro, NC. October 2018. State of North Carolina (1977). “North Carolina Administrative Code, Title 15A, Subchapter 2K: Dam Safety.” Raleigh, NC. January 22, 1977. USACE. (2005). Stability Analysis of Concrete Structures. EM 1110-2-2100. Department of the Army U.S. Army Corps of Engineers, Washington, DC. USACE (1994). Arch Dam Design. EM 1110-2-2201. Department of the Army U.S. Army Corps of Engineers, Washington, DC. USACE (1990). “Hydraulic Design of Spillways”, Engineering Manual 1110-2-1603. United States Army Corps of Engineers, Washington, DC. USACE (1981). Phase I Inspection Report, National Dam Safety Program. United States Army Corps of Engineers, Wilmington District, Wilmington, NC. August 1981. U.S. Bureau of Reclamation. (2013). State-of-Practice for the Nonlinear Analysis of Concrete Dams. U.S. Department of the Interior, Technical Service Center, Denver, CO. U.S. Bureau of Reclamation. (2016). Design Standards No. 6, Hydraulic and Mechanical Equipment, Chapter 12: Trashracks and Trashrack Cleaning Devices, DS-6(12): Phase 4 (Final), December 2016. U.S. Department of the Interior, Denver, CO. February 3, 2023 Schnabel Engineering South. P.C. Project 18C21024.020 ©2023 All Rights Reserved APPENDIX A FIELD INVESTIGATIONS A.1 Underwater Investigation Summary A.2 Concrete Coring and Strength Test Results SITE OBSERVATION REPORT SCHNABEL ENGINEERING SOUTH, P.C. 11A Oak Branch Drive Greensboro, NC 27407 T/ 336-274-9456 F/ 336-274-9486 schnabel-eng.com Date of Observation: 6/18/21 Project: Lake Lure Dam Reservoir Drain Schnabel Rep: Sina Khodaie, Nolen Anderson Project Number: 18C21024.020 Task Number(s): 01 Schnabel PM: Jonathan Pittman Arrival Time: 10:00 AM Departure Time: 1:00 PM Contractor: Glenn Underwater Services Contractor Supervisor: Colin Cassano Air Temp ° F: 80 Weather: Sunny PURPOSE OF VISIT SCHNABEL ENGINEERING SOUTH, P.C. representatives above arrived on site to oversee an underwater investigation using a remotely operated vehicle (ROV). The purpose of this investigation was to determine the extent of debris of the upstream face of the dam and the sediment level to inform design of the reservoir drain system. The water surface elevation during investigation was 989.7ft (NAVD 88), as recorded from the lake level sensor, and is 0.1 feet above the normal lake level. Depths below water surface were displayed on the ROV video images shown in Attachment 2, except 1.3 feet needs to be added to the displayed values to determine the total depth including the height of the ROV. For this investigation, the ROV followed a stairstep path down the center line of Bay 5 to determine the elevation of the top of sediment upstream of Bays 4-6. The approximate path followed by the ROV is marked on Attachment 1. Approximate locations of the images from the videos included in Attachment 1. PERSONS ON-SITE Sina Khodaie and Nolen Anderson – Schnabel Colin Cassano and 1 other representative– Glenn Underwater Services DESCRIPTION OF OBSERVATIONS A piece of woody debris was observed around 940 ft (49.7ft deep) which the ROV was not able to navigate around to avoid and continue on the path. The ROV was brought to the surface and pulled further away from the dam to meet the centerline of the intake tower. The sediment at this location was observed at an elevation of approximately 898 ft (91.7 ft deep). The sediment appeared to slightly slope up and increase elevation against the upstream wall of the dam to 900 ft (89.7 ft deep). The sediment located was easily disturbed by the propellers of the ROV. CONCLUSIONS Sediment and some woody debris were observed at a depth of approximately 89-92 feet upstream of Bays 4, 5, and 6 at the centerline of these bays. This corresponds to approximate elevation 900 ft, which is consistent with the bathymetric survey prepared by Ed Holmes & Associates on January 9, 2019. The thickness of the debris on the upstream sloped face of the arches was unclear, but appeared to be fairly regular sediment deposition with some localized woody debris. The extents of the debris should be considered in the selection of the invert elevation of the new reservoir drain system to reduce dredging needs and protect against impacts around the drain trash rack due to additional sedimentation. Localized removal of debris deposited on the arches should be performed for installation of the new reservoir drain system. Appendix A.1 SITE OBSERVATION REPORT April 22, 2022 Page 2 of 2 Schnabel Engineering South, P.C. Project 18C21024.020 ©2022 All Rights Reserved SCHNABEL ENGINEERING SOUTH, P.C. 11A Oak Branch Drive Greensboro, NC 27407 T/ 336-274-9456 F/ 336-274-9486 schnabel-eng.com We have endeavored to prepare this report in accordance with generally accepted engineering practice and make no warranties, either express or implied, as to the professional advice provided under the terms of our agreement and included herein. We appreciate the opportunity to be of service for this project. Please do not hesitate to contact either of the undersigned if clarification is needed for any aspect of this report. Sincerely, SCHNABEL ENGINEERING SOUTH, P.C. Sina Khodaie, PhD, PE Senior Engineer Charles Johnson, PE Associate NA:SK:CJ:JP Distribution: Client (Town of Lake Lure) Attn: Olivia Stewman Attachments 1.Site Plan with Photo Locations 2.Photo Log G:\2018\GREENSBORO\18C21024_00_LAKE_LURE_DAM\03-SE PRODUCTS\03-REPORTS\01- DRAFT\00_RESERVOIR_DRAIN_DESIGN\ROV_INSPECTION_REPORT\LL_180621_SITEOBSERVATIONREPORT_ROV.DOCX DocVerify ID: EBD67602-E69A-4A72-9024-63AA722EF3BA www.docverify.com EB D 6 7 6 0 2 - E 6 9 A - 4 A 7 2 - 9 0 2 4 - 6 3 A A 7 2 2 E F 3 B A - - - 2 0 1 9 / 0 1 / 0 9 0 7 : 5 9 : 0 2 - 8 : 0 0 Page 17 of 17 1763AA722EF3BA 6047270957DB Signed on 2019/01/09 08:15:03 PST -'DQLHO+HQU\ January 09, 2019 Attachment 1 (room for additional notes) ATTACHMENT 2 PHOTO LOG LAKE LURE DAM RESERVOIR DRAIN SYSTEM TOWN OF LAKE LURE RUTHERFORD COUNTY, NC PROJECT NO.: 18C21024.020 © Schnabel Engineering South, P.C. 2022 All Rights Reserved PHOTO 1 DATE TAKEN: 06/18/2021 LOCATION: Dock located to the right of the reservoir upstream of the dam COMMENTS: Glenn boat used to complete ROV investigation. Approximate water surface elevation was elevation 989.7 ft (NAVD 88), which is 0.1 feet above the normal lake level. PHOTO 2 DATE TAKEN: 06/18/2021 LOCATION: On Glenn boat tied off on Bay 5 of dam COMMENTS: ROV used in investigation Attachment 2 (room for additional notes) ATTACHMENT 2 PHOTO LOG LAKE LURE DAM RESERVOIR DRAIN SYSTEM TOWN OF LAKE LURE RUTHERFORD COUNTY, NC PROJECT NO.: 18C21024.020 © Schnabel Engineering South, P.C. 2022 All Rights Reserved PHOTO 3 DATE TAKEN: 06/18/2021 LOCATION: Right of Bay 5 center line 6.0’ below the water surface COMMENTS: Note separation between vertical arch lift (top of photo) and sloping lift (bottom of photo). Temperature and date on video display shown are incorrect. PHOTO 4 DATE TAKEN: 06/18/2021 LOCATION: Upstream face of concrete at Bay 5 centerline at 6.8’ below the water surface COMMENTS: Note separation between vertical lift and sloping lift (room for additional notes) ATTACHMENT 2 PHOTO LOG LAKE LURE DAM RESERVOIR DRAIN SYSTEM TOWN OF LAKE LURE RUTHERFORD COUNTY, NC PROJECT NO.: 18C21024.020 © Schnabel Engineering South, P.C. 2022 All Rights Reserved PHOTO 5 DATE TAKEN: 06/18/2021 LOCATION: Top of sediment upstream of Bay 5 centerline at 49.4’ below the water surface COMMENTS: Debris at approximately 49.7’ depth PHOTO 6 DATE TAKEN: 06/18/2021 LOCATION: Top of sediment upstream of Bay 5 centerline at 74.8’ below the water surface COMMENTS: Debris at approximately 75’ depth (room for additional notes) ATTACHMENT 2 PHOTO LOG LAKE LURE DAM RESERVOIR DRAIN SYSTEM TOWN OF LAKE LURE RUTHERFORD COUNTY, NC PROJECT NO.: 18C21024.020 © Schnabel Engineering South, P.C. 2022 All Rights Reserved PHOTO 7 DATE TAKEN: 06/18/2021 LOCATION: Top of sediment upstream of Bay 5 centerline at 75.7’ below the water surface COMMENTS: Debris at approximately 76’ depth PHOTO 8 DATE TAKEN: 06/18/2021 LOCATION: Top of sediment immediately upstream of Bay 5 centerline at 88.8’ below water surface COMMENTS: Sediment level encountered at approximately 89’-92’ depth SITE OBSERVATION REPORT SCHNABEL ENGINEERING SOUTH, P.C. 11A Oak Branch Drive Greensboro, NC 27407 T/ 336-274-9456 F/ 336-274-9486 schnabel-eng.com Date of Observation: 6/22/21 Project: Lake Lure Dam Reservoir Drain Schnabel Rep: Sina Khodaie, Nolen Anderson Project Number: 18C21024.020 Task Number(s): 01 Schnabel PM: Jonathan Pittman Building Permit No. Arrival Time: 10:00 AM Departure Time: 2:00 PM Contractor: Penhall Company Superintendent: Air Temp ° F: 67 Weather: Light Rain/Cloudy PURPOSE OF VISIT SCHNABEL ENGINEERING SOUTH, P.C. representatives above arrived on site, to oversee concrete coring of Bay 5. These cores were collected to be used in compressive strength testing. During site visit, reservoir elevation was 990 ft (NAVD 88). Six concrete cores were taken in total (2 cores from each of the buttress walls and 2 cores from the starter block) from Bay 5, which is the second arch bay from the left side of the dam (when looking downstream). Personnel from Schnabel’s coring subcontractor, Penhall Company, had issues with site access and unable to grout the holes left by coring process on June 22, 2021. Schnabel representatives were told that a Penhall representative would return to the site the following day to fill the holes. A Town representative told Schnabel representatives they would be on site to oversee grouting process and this was reportedly performed on June 23, 2021. PERSONS ON-SITE Dean Lindsey – Town of Lake Lure Sina Khodaie and Nolen Anderson – Schnabel 2 Representatives – Penhall Company DESCRIPTION OF OBSERVATIONS Access to the downstream side of Bay 5 was overgrown with vegetation. Dam arch lift lines were leaking during the site visit, but leakage had apparently decreased since previous wintertime site visits, presumably due to thermal expansion of the concrete. Vegetation growth and calcium efflorescence were evident and observed at the lift lines of the dam arch. Orange-red iron ochre was observed on the right buttress wall near the dam arch and on the sewer pipe. Standing water was observed approximately 1-2 ft deep downstream of the starter block of Bay 5 due to poor drainage in the bay. A total of six 4-inch diameter cores were taken from the site. These cores ranged from approximately 10 to 14 inches in length depending on the location of the core break. Small voids were visible in portions of the concrete cores. The slurry ranged from blue to grey in color. No major cracking within the cores was observed. Core locations are included in the attached photo log in Attachment 1. Compressive strength tests of the concrete were performed by S&ME, Inc. and results are included in Attachment 2. The average compressive strength was 2,890 psi with a standard deviation of ± 677 psi. Appendix A.2 SITE OBSERVATION REPORT April 22, 2022 Page 2 of 2 Schnabel Engineering South, P.C. Project 18C21024.020 ©2022 All Rights Reserved SCHNABEL ENGINEERING SOUTH, P.C. 11A Oak Branch Drive Greensboro, NC 27407 T/ 336-274-9456 F/ 336-274-9486 schnabel-eng.com We have endeavored to prepare this report in accordance with generally accepted engineering practice and make no warranties, either express or implied, as to the professional advice provided under the terms of our agreement and included herein. We appreciate the opportunity to be of service for this project. Please do not hesitate to contact either of the undersigned if clarification is needed for any aspect of this report. Sincerely, SCHNABEL ENGINEERING SOUTH, P.C. Sina Khodaie, PhD, PE Senior Engineer Charles M. Johnson, PE Associate NA:SK:CJ:JP Distribution: Client (Town of Lake Lure) Attn: Olivia Stewman Attachments 1. Bay 5 Concrete Coring Photo Log 2. Concrete Coring Compressive Strength Test Results G:\2018\GREENSBORO\18C21024_00_LAKE_LURE_DAM\03-SE PRODUCTS\03-REPORTS\01- DRAFT\00_RESERVOIR_DRAIN_DESIGN\ROV_INSPECTION_REPORT\LL_180621_SITEOBSERVATIONREPORT_ROV.DOCX (room for additional notes) LAKE LURE RESERVOIR DRAIN TOWN OF LAKE LURE LAKE LURE, NC PROJECT NO.: 18C21024.020 ATTACHMENT 1 BAY 5 CONCRETE CORING PHOTO LOG © Schnabel Engineering South, P.C. 2022 All Rights Reserved PHOTO 1 DATE TAKEN: 06/22/21 LOCATION: Downstream of dam looking toward the left wall COMMENTS: Vegetation growth at the downstream toe of the dam and left embankment. PHOTO 2 DATE TAKEN: 06/22/21 LOCATION: Downstream of dam looking at 12” Ductile Iron Sanitary Sewer Pipe with wood planks to access the left bank of the channel COMMENTS: Vegetation growth near the downstream toe of the dam and around the sewer pipe. Attachment 1 (room for additional notes) LAKE LURE RESERVOIR DRAIN TOWN OF LAKE LURE LAKE LURE, NC PROJECT NO.: 18C21024.020 ATTACHMENT 1 BAY 5 CONCRETE CORING PHOTO LOG © Schnabel Engineering South, P.C. 2022 All Rights Reserved PHOTO 3 DATE TAKEN: 06/22/21 LOCATION: Right riprap bank of downstream channel COMMENTS: This is the pathway for entry to the stream crossing shown in Photo 1. Note the overgrown vegetation along the channel. PHOTO 4 DATE TAKEN: 06/22/21 LOCATION: Bay 5 entry looking toward upper lifts of downstream face of the arch COMMENTS: Note weathering of concrete lift lines and vegetation growth on concrete. Leakage and calcium efflorescence are evident at most lift lines. (room for additional notes) LAKE LURE RESERVOIR DRAIN TOWN OF LAKE LURE LAKE LURE, NC PROJECT NO.: 18C21024.020 ATTACHMENT 1 BAY 5 CONCRETE CORING PHOTO LOG © Schnabel Engineering South, P.C. 2022 All Rights Reserved PHOTO 5 DATE TAKEN: 06/22/21 LOCATION: Bay 5 access looking toward lower lifts of downstream face of the arch COMMENTS: Note weathering of concrete lift lines and vegetation growth on concrete. Leakage and calcium efflorescence are evident in most lift lines. Standing water and vegetation were observed on the ground within the bay. PHOTO 6 DATE TAKEN: 06/22/21 LOCATION: Facing Bay 5 Starter Block and sewer pipe COMMENTS: Note the concrete efflorescence, standing water in the bay, and orange-red iron ochre on the right buttress wall. (room for additional notes) LAKE LURE RESERVOIR DRAIN TOWN OF LAKE LURE LAKE LURE, NC PROJECT NO.: 18C21024.020 ATTACHMENT 1 BAY 5 CONCRETE CORING PHOTO LOG © Schnabel Engineering South, P.C. 2022 All Rights Reserved PHOTO 7 DATE TAKEN: 06/22/21 LOCATION: Bay 5 facing left buttress wall and sanitary sewer line COMMENTS: Vegetation growth on ground and orange-red iron ochre deposits on sewer pipe. PHOTO 8 DATE TAKEN: 06/22/21 LOCATION: Bay 5 facing starter block at downstream face COMMENTS: Concrete coring at 5S1 produced grey-blue slurry. (room for additional notes) LAKE LURE RESERVOIR DRAIN TOWN OF LAKE LURE LAKE LURE, NC PROJECT NO.: 18C21024.020 ATTACHMENT 1 BAY 5 CONCRETE CORING PHOTO LOG © Schnabel Engineering South, P.C. 2022 All Rights Reserved PHOTO 9 DATE TAKEN: 06/22/21 LOCATION: Facing right buttress wall toward downstream of dam COMMENTS: Core location for 5R1 (Left) was approximately 10 ft downstream of dam centerline and 5R2 (Right) was approximately 30 ft upstream of dam centerline. PHOTO 10 DATE TAKEN: 06/22/21 LOCATION: Facing left buttress wall toward downstream of dam COMMENTS: Coring location of 5L1 was approximately 20 ft upstream of dam centerline. (room for additional notes) LAKE LURE RESERVOIR DRAIN TOWN OF LAKE LURE LAKE LURE, NC PROJECT NO.: 18C21024.020 ATTACHMENT 1 BAY 5 CONCRETE CORING PHOTO LOG © Schnabel Engineering South, P.C. 2022 All Rights Reserved PHOTO 11 DATE TAKEN: 06/22/21 LOCATION: Facing left buttress wall and downstream dam wall COMMENTS: Coring location for 5L2 was approximately 60 ft upstream of dam centerline. PHOTO 12 DATE TAKEN: 06/22/21 LOCATION: Bay 5 facing starter block and downstream wall of dam COMMENTS: Coring location for 5S1 (Top) was approximately 4 ft below arch and 5S2 (Bottom) was approximately 8 ft below arch. Compressive Strength of Concrete Core Lake Lure Dam Concrete Core Testing Lake Lure, NC S&ME Project No. 216284 July 7, 2021 i Da t e : 7/ 7 / 2 0 2 1 Ph o t o g r a p h e r : Ji m m y T h o m a s s o n Location / Orientation Click here. Remarks 5L1 & 5L2 Da t e : 7/ 7 / 2 0 2 1 Ph o t o g r a p h e r : Ji m m y T h o m a s s o n Location / Orientation Click here. Remarks 5R1 & 5R2 Compressive Strength of Concrete Core Lake Lure Dam Concrete Core Testing Lake Lure, NC S&ME Project No. 216284 July 7, 2021 ii Da t e : 7/ 7 / 2 0 2 1 Ph o t o g r a p h e r : Ji m m y T h o m a s s o n Location / Orientation Click here. Remarks 5S1 & 5S2 Da t e : 7/ 7 / 2 0 2 1 Ph o t o g r a p h e r : Ji m m y T h o m a s s o n Location / Orientation Click here. Remarks 5L1, 5l2, 5R1, 5R2, 5S1, & 5S2 - Broken N/A Locaction: 1.009.56 45350 4.21 N/A 3690 35320 13.79 47340 2.00 9.80 2.0113.79 50820144.8 8.19 1.00 8.48 4.20 C-4 8.24 13.92 1.00 24701.99 34450 1.00 13.85 9.43 9.44 2.02 3270 2560 192026560 2.04 Sample No.Location C-6 5L2 Core Unit Wt. 2.04 9.44 1.00 Ratio (L/D) 13.85147.3 Area (in2) 13.85 9.19 140.8 psiL/D Corr.Comp. Strength lbs C-3 4.195R1 8.13C-1 5S1 8.56C-2 5S2 4.20 8.448.18 8.38 Diameter Avg. (in)Wt. (pcf) Average Length (in) Wt. lbsBefore Cap After Cap 144.1 Form No: TR-C42 Unknown Lake Lure Dam - Buffalo Shoals Road, Lake Lure, NC C1, C2, C3, C4, C5, C6 Project: Client Name: Client Address: Revision No. 0 Revision Date: 8/28/17 Compressive Strength of Concrete Core Sample #: Test Date(s): Placement Date: Report Date: ASTM C-42 Unknown Project Name: Project #: 216284 7/1 - 7/7/21 7/7/2021 S&ME, Inc. Greensboro, 8646 West Market Street, Suite 105, Greensboro, North Carolina 27409 1.00 This report shall not be reproduced, except in full, without the written approval of S&ME, Inc. Chace Kahill, E.I. DatePositionSignatureTechnical Responsibility 7/7/2021Construction Services Group Leader C-5 2890Average Lake Lure Dam Concrete Core Testing (Schnabel Project No. 18C21024.02) Schnabel Engineering South, P.C. 11-A Oak Branch Drive, Greensboro, NC 27407 ASTM: C-39 ASTM: C-617 Standard Test Method for Obtaining and Testing Drilled Cores and Sawed Beams of Concrete. Standard Test Method for Compressive Strength of Cylindrical Concrete Specimens Standard Practice for Capping Cylindrical Concrete Specimens Sample Date: Producer: Notes / Deviations / References:Cores were tested in general accordance with 7.3.1 to 7.3.3. ASTM: C-42 Design Strength (psi):N/AMix Design No.:N/A 3420142.9 4.198.398.16 8.30 5R2 4.205L1 145.6 8.55 S&ME, Inc.. 3201 Spring Forest Road Raleigh, NC. 27616 216284_Core Strength Results_2021-07-07.xlsx Attachment 2 February 3, 2023 Schnabel Engineering South. P.C. Project 18C21024.020 ©2023 All Rights Reserved APPENDIX B HYDRAULIC ANALYSIS AND DESIGN Project Lake Lure Low Level Outlet (18C21024.02) Subject Low Level Outlet Discharge Rating Curve Date: Filename:By: LES Checked: SAB Data Source: Notes: Notes: Steel 1) If tailwater elevation is set to 0, calculation assumes free Diameter: 72 inches discharge of flow from the pipe. Otherwise a constant Length: 126.2 feet tailwater elevation is used in calculation # of Barrels: 1 Upstream Invert 906.4 feet 2) Friction Factor (f) from Swamee and Jain Equation Downstream Invert 898.5 feet Normal Pool: 920 feet 3) Velocity from Bernoulli's equation Model Increment: 3 feet Kentrance: 1 4) Re = V*D/v Kexit: 1.0 Kbend: 0.6 5) Kinematic Viscocity (v) for water at 60o F Kvalve: 1.2 Roughness, ks: 0.016 feet 6) If check column does not read "OK" replace Trial f with value in column AA Tailwater: 0 feet Trial f: 0.015 12/29/2021 G:\2018\Greensboro\18C21024_00_Lake_Lure_Dam\03-SE Products\02-Calcs\02-HH\[Low Level Outlet Discharge.xlsx]Pipe Pipe Data Type: Page 1 of 2 Project Lake Lure Low Level Outlet (18C21024.02) Subject Low Level Outlet Discharge Rating Curve Date: Filename:By: LES Checked: SAB Data Source: Notes: 12/29/2021 G:\2018\Greensboro\18C21024_00_Lake_Lure_Dam\03-SE Products\02-Calcs\02-HH\[Low Level Outlet Discharge.xlsx]Pipe Lake Level Trial f Velocity Re f Velocity Re f Velocity Re Check Area Flow Total Flow feet fps fps fps sqft cfs cfs 920.0 0.015 15.26 7.51E+06 0.02536 14.95 7.35E+06 0.02536 14.95 7.35E+06 OK 28.27 422.59 422.59 923.0 0.015 16.45 8.09E+06 0.02535 16.11 7.92E+06 0.02535 16.11 7.92E+06 OK 28.27 455.57 455.57 926.0 0.015 17.56 8.64E+06 0.02535 17.20 8.46E+06 0.02535 17.20 8.46E+06 OK 28.27 486.32 486.32 929.0 0.015 18.61 9.15E+06 0.02535 18.22 8.96E+06 0.02535 18.22 8.96E+06 OK 28.27 515.24 515.24 932.0 0.015 19.60 9.64E+06 0.02535 19.19 9.44E+06 0.02535 19.19 9.44E+06 OK 28.27 542.62 542.62 935.0 0.015 20.54 1.01E+07 0.02535 20.11 9.89E+06 0.02535 20.11 9.89E+06 OK 28.27 568.68 568.68 938.0 0.015 21.44 1.05E+07 0.02535 20.99 1.03E+07 0.02535 20.99 1.03E+07 OK 28.27 593.60 593.60 941.0 0.015 22.30 1.10E+07 0.02535 21.84 1.07E+07 0.02535 21.84 1.07E+07 OK 28.27 617.51 617.51 944.0 0.015 23.13 1.14E+07 0.02535 22.65 1.11E+07 0.02535 22.65 1.11E+07 OK 28.27 640.53 640.53 947.0 0.015 23.93 1.18E+07 0.02534 23.44 1.15E+07 0.02534 23.44 1.15E+07 OK 28.27 662.75 662.75 950.0 0.015 24.71 1.22E+07 0.02534 24.20 1.19E+07 0.02534 24.20 1.19E+07 OK 28.27 684.25 684.25 953.0 0.015 25.46 1.25E+07 0.02534 24.94 1.23E+07 0.02534 24.94 1.23E+07 OK 28.27 705.10 705.10 956.0 0.015 26.19 1.29E+07 0.02534 25.65 1.26E+07 0.02534 25.65 1.26E+07 OK 28.27 725.35 725.35 959.0 0.015 26.90 1.32E+07 0.02534 26.35 1.30E+07 0.02534 26.35 1.30E+07 OK 28.27 745.04 745.04 962.0 0.015 27.60 1.36E+07 0.02534 27.03 1.33E+07 0.02534 27.03 1.33E+07 OK 28.27 764.23 764.23 965.0 0.015 28.27 1.39E+07 0.02534 27.69 1.36E+07 0.02534 27.69 1.36E+07 OK 28.27 782.95 782.95 968.0 0.015 28.93 1.42E+07 0.02534 28.34 1.39E+07 0.02534 28.34 1.39E+07 OK 28.27 801.24 801.24 971.0 0.015 29.58 1.45E+07 0.02534 28.97 1.42E+07 0.02534 28.97 1.42E+07 OK 28.27 819.11 819.11 974.0 0.015 30.21 1.49E+07 0.02534 29.59 1.46E+07 0.02534 29.59 1.46E+07 OK 28.27 836.60 836.60 977.0 0.015 30.83 1.52E+07 0.02534 30.19 1.48E+07 0.02534 30.19 1.48E+07 OK 28.27 853.74 853.74 980.0 0.015 31.44 1.55E+07 0.02534 30.79 1.51E+07 0.02534 30.79 1.51E+07 OK 28.27 870.53 870.53 983.0 0.015 32.03 1.58E+07 0.02534 31.37 1.54E+07 0.02534 31.37 1.54E+07 OK 28.27 887.01 887.01 986.0 0.015 32.62 1.60E+07 0.02534 31.94 1.57E+07 0.02534 31.94 1.57E+07 OK 28.27 903.19 903.19 989.0 0.015 33.19 1.63E+07 0.02534 32.51 1.60E+07 0.02534 32.51 1.60E+07 OK 28.27 919.08 919.08 990.5 0.015 33.47 1.65E+07 0.02534 32.78 1.61E+07 0.02534 32.78 1.61E+07 OK 28.27 926.93 926.93 993.0 0.015 33.94 1.67E+07 0.02534 33.24 1.63E+07 0.02534 33.24 1.63E+07 OK 28.27 939.86 939.86 996.0 0.015 34.49 1.70E+07 0.02534 33.78 1.66E+07 0.02534 33.78 1.66E+07 OK 28.27 955.14 955.14 999.0 0.015 35.03 1.72E+07 0.02534 34.31 1.69E+07 0.02534 34.31 1.69E+07 OK 28.27 970.19 970.19 1002.0 0.015 35.57 1.75E+07 0.02534 34.84 1.71E+07 0.02534 34.84 1.71E+07 OK 28.27 985.00 985.00 1005.0 0.015 36.10 1.78E+07 0.02534 35.35 1.74E+07 0.02534 35.35 1.74E+07 OK 28.27 999.59 999.59 1008.0 0.015 36.62 1.80E+07 0.02534 35.86 1.76E+07 0.02534 35.86 1.76E+07 OK 28.27 1013.98 1013.98 Trial FinalInitial Values Page 2 of 2 Project:Lake Lure Low Level Outlet (18C21024.02) Subject:Low Level Jet Flow Gate Valve Hydraulics Date:                                                                                                By:  SHF           Checked:   LES Filename: Notes Assumed Flow 1122 CFS Insert value to converge on answer below Area or Length Velocity F/S Trash Rack Gross Area 200.0 5.6 Trash Rack Net Area 160.0 7.0 72" Diameter 28.3 39.7 Length of 72" spools 130.0 39.7 60" Orifice 19.6 57.1 Loss Coeff Head Loss Ft Trash Rack Loss 0.4 0.3 Based on net opening Entrance and bends 0.45 11.0 .25 entrance, .2 bend 1, .1 bend 2 Spool Pipe Loss 0.010 4.4 Estimate Knife Gate Valve 0.1 2.4 FT FT Head on JFG 90 71.9 Gross head, less losses to valve Cd CFS JFG Calculated Flow 0.84 1122.0 Q=Cd*A*(2gh)^0.5 Lake Lure 1 FLOW CALCULATION ‐ 60" ORIFICE JET FLOW GATE VALVE 12/30/2021 G:\2018\Greensboro\18C21024_00_Lake_Lure_Dam\03-SE Products\02-Calcs\02-HH\[Lake Lure Hydraulics-Valve.xlsx]Jet Flow Gate Valve February 3, 2023 Schnabel Engineering South. P.C. Project 18C21024.020 ©2023 All Rights Reserved APPENDIX C STRUCTURAL ANALYSIS AND DESIGN C.1 Structural Analysis of Dam C.2 Steel Bulkhead Calculations STRUCTURAL ANALYSIS AND DESIGN FOR RESERVOIR DRAIN Lake Lure Dam Town of Lake Lure Rutherford County North Carolina Schnabel Engineering South, PC, License No. C -2599 Schnabel Reference 18C21024.020 April 22, 2022 Town of Lake Lure Lake Lure Dam Structural Analysis and Design for Reservoir Drain April 22, 2022 Page i Schnabel Engineering South, P.C. Project 18C21024.020 ©2022 All Rights Reserved STRUCTURAL ANALYSIS AND DESIGN FOR RESERVOIR DRAIN LAKE LURE DAM TOWN OF LAKE LURE RUTHERFORD COUNTY, NORTH CAROLINA TABLE OF CONTENTS 1.0 EXECUTIVE SUMMARY ............................................................................................................ 1 2.0 INTRODUCTION ........................................................................................................................ 3 2.1 Background and Site Description 2.2 Purpose 2.3 Scope of Services 2.4 Vertical Datum 2.5 Terminology 3.0 BACKGROUND INFORMATION FOR STABILITY ANALYSES ................................................. 5 3.1 Review of Historical Data 3.2 Review of Previous Stability Analyses 3.3 Concrete and Rock Laboratory Testing 4.0 STRUCTURAL STABILITY EVALUATION ................................................................................. 7 4.1 Overview and Scope 4.2 Codes and Analysis Standards 4.3 Factors of Safety and Allowable Stresses 4.4 Description of Loads 4.5 Load Cases 4.6 Stability Analysis – Finite Element Method 4.7 Discussion of Stability Analysis Results 4.8 Conclusions 5.0 REFERENCES ......................................................................................................................... 31 Town of Lake Lure Lake Lure Dam Structural Analysis and Design for Reservoir Drain April 22, 2022 Page ii Schnabel Engineering South, P.C. Project 18C21024.020 ©2022 All Rights Reserved LIST OF FIGURES Figure 2-1. Upstream View of Lake Lure Dam .......................................................................................... 3 Figure 2-2. Downstream View of Bay 5 .................................................................................................... 4 Figure 4-1. Normal Pool Load Case: (a) Side Bays; (b) Middle Bay (Bay 5) ............................................ 14 Figure 4-2. Construction Phase Load Case: (a) Side Bays; (b) Middle Bay (Bay 5)................................. 15 Figure 4-3. PMF Additional Hydrostatic Pressure: (a) Side Bays; (b) Middle Bay (Bay 5) ........................ 16 Figure 4-4. TrueGrid Finite Element Mesh ............................................................................................. 21 Figure 4-5. TrueGrid Element Jacobians for Dam Parts ......................................................................... 22 Figure 4-6. Contact Surfaces in Arch Region ......................................................................................... 24 Town of Lake Lure Lake Lure Dam Structural Analysis and Design for Reservoir Drain April 22, 2022 Page iii Schnabel Engineering South, P.C. Project 18C21024.020 ©2022 All Rights Reserved LIST OF TABLES Table 3-1. Material Test Results (Marks 2018, Schnabel 2018) ................................................................ 7 Table 3-2. Additional Concrete Compressive Strength Tests (2021) ......................................................... 7 Table 4-1. Elevations of Key Features Included in FE Models .................................................................. 8 Table 4-2. Target Minimum Factors of Safety for Concrete Multiple Arch Buttress Dams .......................... 9 Table 4-3. Allowable Stresses for Concrete Multiple Arch Buttress Dams and Gravity Dams and Rock Foundation ......................................................................................................................................... 9 Table 4-4. Material Properties Used for Analyses and Assessing Allowable Stress Limits ...................... 11 Table 4-5. Hydrostatic Loading Conditions ............................................................................................. 12 Table 4-6. Summary for Number of Nodes and Elements ....................................................................... 21 Table 4-7. System of Consistent Units Selected for LS-DYNA Input and Output ..................................... 22 Table 4-8. Sliding Factor of Safety Using 45 Degrees Friction Without Dowels, Displacement, and Stress Results for Load Case 1 and 2 – Bay 5 ............................................................................................. 26 Table 4-9. Sliding Factor of Safety Using 45 Degrees Friction Angle Without Dowels, Displacement, and Stress Results for Load Case 3 and 4 – Bay 5 ................................................................................. 28 APPENDICES Appendix A: Drawing for Existing Bay 5 Appendix B: Bridge Weight Calculation Appendix C: Finite Element Analysis Results Appendix D: Encasement Dowel Calculation Appendix E: Shrinkage and Temperature Reinforcement Calculation \\gree-fs\projects\2018\Greensboro\18C21024_00_Lake_Lure_Dam\03-SE Products\03-Reports\01-Draft\00_Reservoir_Drain_Design\Structural Design Report\Lake Lure Dam Reservoir Drain Structural Analysis.docx Town of Lake Lure Lake Lure Dam Structural Analysis and Design for Reservoir Drain April 22, 2022 Page 1 Schnabel Engineering South, P.C. Project 18C21024.020 ©2022 All Rights Reserved 1.0 EXECUTIVE SUMMARY Schnabel Engineering South, P.C. (Schnabel) performed 3-D structural Finite Element (FE) analyses of Lake Lure Dam with the proposed concrete encasement for the reservoir drain system to evaluate the structural impacts of the penetration through the arch in Bay 5 and the new encasement. The required rebar dowels were designed to resist the additional shear and tensile forces transferred to the encasement due to probable maximum flood (PMF ), which was the governing load case. Furthermore, the displacements and stress distribution were estimated under different loading scenarios described below. The first loading scenario is the normal pool hydraulic loads applied to Bay 5 models without the concrete encasement (LC1-A and LC1-B). The second loading scenario is the normal pool hydraulic loads applied to Bay second loading scenario is the normal pool hydraulic loads applied to Bay 5 models with the concrete encasement (LC2-A and LC2-B). The third loading scenario is the normal pool hydraulic loads applied to Bay 5 models during the construction phase when only the upstream portion of the encasement is constructed (LC3-A and LC3-B). The last loading scenario is the PMF hydraulic load applied to Bay 5 model with the encasement (LC4-A and LC4-B). The suffix A and B indicates the different contact type sets for the lift lines considered in the models. The FE analyses were performed using the computer program LS-DYNA, and the analyses and associated load cases were developed in general accordance with FERC guidelines for concrete dams. Bay 5 of Lake Lure Dam was modeled, including the penetration through the bottom of the arch for the new reservoir drain and concrete encasement that will contain the drain valves and liner. Bay 5 was modeled with the three lowest lift lines and drain opening in the arch of Bay 5 to evaluate the localized effects of the lifts and new penetration. Two additional bays with dimensions identical to Bay 5, but without the penetration for the drain and encasement, were included on each side of the middle bay (Bay 5) to reduce boundary effects on the Bay 5 results. The models were analyzed under different load cases such as normal pool considering the Bay 5 without encasement, with encasement (including PMF loading), and partial encasement construction. Two types of models were evaluated. In the first model type (“A”), all contacts between blocks of solid elements were frictional except for the arch contacts to the buttresses, which were mortar tied contact (LS-DYNA contact type). In the second model type (“B”), all contacts were frictional (mortar contact), including the arch-to-buttress interfaces. The material properties used in the models were taken from both previous investigations (2018 Marks, 2018 Schnabel, and 2021 Schnabel), published values, and our experience with similar structures. For instance, the frictional strengths along the concrete-rock interface and other lift lines were selected based on published values and our experience with similar structures due to limited subsurface information. The major conclusions from the FE analyses are summarized in the list below.  The concrete encasement is stable due to the normal pool hydraulic driving forces without dowels. However, the encasement in the model with the frictional contact is detached from the arch due to PMF loading. The encasement in the model resists a portion of normal pool forces in addition to the PMF since the encasement is built and active from the beginning of loading. However, the encasement will be constructed in the existing dam, where the normal pool hydraulic forces were already applied. Therefore, the encasement is only anticipated to carry the Town of Lake Lure Lake Lure Dam Structural Analysis and Design for Reservoir Drain April 22, 2022 Page 2 Schnabel Engineering South, P.C. Project 18C21024.020 ©2022 All Rights Reserved additional driving force due to PMF. Although including the normal pool loading on the encasement may be conservative, it was considered in order to account for potential cracking of the bottom arch lifts and load redistribution from arch action to arch bearing on the encasement.  The concrete encasement improves the stability of Bay 5, although the sliding stability of Bay 5 still does not satisfy the FERC criteria. The maximum displacement of Bay 5 model along the upstream/downstream direction decreased in comparison with the maximum displacement for the model without encasement.  Dowels tie the new encasement to the existing starter block and reduce the tensile interface forces between the encasement and rock. Furthermore, the dowels in the encasement/rock interface improve the stability of the encasement against shear and uplift forces.  Creating the new penetration in the arch for the drain pipe creates stress concentrations. The concrete encasement will extend to the lift line that contains the upper portion of the drain penetration, and the encasement provides support for the potentially cracked sections in the arch around the new pipe penetration. Due to the uncertainties associated with the material strength parameters and the geometry of the dam to foundation contact, this area will need to be reviewed during construction after the overburden is removed and the foundation within Bay 5 is cleaned to competent rock without undermining the existing starter block or buttresses. The Engineer will evaluate the existing conditions and field revisions may be required to avoid unnecessary rock excavation. Town of Lake Lure Lake Lure Dam Structural Analysis and Design for Reservoir Drain April 22, 2022 Page 3 Schnabel Engineering South, P.C. Project 18C21024.020 ©2022 All Rights Reserved 2.0 INTRODUCTION 2.1 Background and Site Description Lake Lure Dam and its associated impoundment are owned and operated by the Town of Lake Lure (Town) and serve as the centerpiece of the community. The dam is located at latitude 35.425119°N and longitude 82.183167°W, in Rutherford County, NC. Lake Lure Dam is a concrete multiple-arch buttress dam with ten interior bays separated by buttress walls and three gated spillway bays with concrete ogee gravity sections. The bays are numbered 1 to 13 from left to right (looking downstream), as labeled in Figure 2-1. A single-lane reinforced concrete bridge spans across each buttress and bears on concrete abutment/retaining walls at each end. The dam’s overall length is approximately 505 feet, and its maximum structural height is reportedly 124 feet (USACE, 1981). The dam also includes an intake tower and penstock that supply water to a hydroelectric generating station located within one of the arch bays (Bay 7) on the downstream side of the dam. The hydroelectric generators are typically run on a continuous basis, and the electricity produced is sold to Duke Energy. Although the dam produces hydroelectricity, the dam is not regulated by the Federal Energy Regulatory Commission (FERC). The downstream views of Bay 5 are included in Figure 2-2. The location of prospective drain system opening is indicated in the figure in addition to the three lowest lift lines in the bay, sewer line, existing thrust block, starter block, pump station, and junction box. Figure 2-1. Upstream View of Lake Lure Dam Town of Lake Lure Lake Lure Dam Structural Analysis and Design for Reservoir Drain April 22, 2022 Page 4 Schnabel Engineering South, P.C. Project 18C21024.020 ©2022 All Rights Reserved Figure 2-2. Downstream View of Bay 5 At full pond (normal pool), Lake Lure has a surface area of 720 acres with approximately 27 miles of shoreline. The lake level is normally controlled by the flow of water into the intake structure for the hydroelectric generators. The intake structure, which is located about 100 feet upstream of the crest of the dam, is an approximately 120-foot high concrete tower with a concrete base and a 10.5-foot diameter steel penstock. The top of the intake tower contains a metal trash rack surrounding a cylindrical gate, which can be raised or lowered by an electric hoist to regulate flow into the penstocks. The control for the hoist and gate is located in the powerhouse. During flood events, lake levels are controlled by opening one or more of the three Tainter gates located in bays 1 through 3. The gates are operated using the hoists located along the small concrete access bridge (hoist platform) above the gates. The dam was designed by Mees and Mees of Charlotte, NC, and construction was completed in September 1926. Lake Lure Dam is regulated by NC Department of Environmental Quality (NC DEQ) Dam Safety and classified as a Very Large, High Hazard (Class C) dam. Historically, the dam has performed well. Maintenance activities have been confined primarily to the powerhouse equipment, intake gate, and spillway gates. No significant concrete repairs or other structural modifications have reportedly been made to the structure (DTA, 2006/2007). A subaqueous sanitary system was constructed at the same time as the dam was constructed. It includes a cast iron gravity sewer with an approximate length of fourteen miles (LaBella, 2020). The sewer lines were installed on concrete collars and wooden cribbing, as indicated in LaBella report. The cast iron pipe ranges in size from 8 inches to 12 inches. The sewer line passes through the Bay 5 (See Figure 2-2) and a portion of the pipe will be relocated for this project. 2.2 Purpose The purpose of this report is to document the analysis of the effects of the reservoir drain addition in Bay 5 of Lake Lure Dam and provide the results of Finite Element (FE) models to evaluate the structural aspects of the proposed design. Furthermore, FE models were utilized to evaluate the modifications to Bay 5 for regulatory criteria for global stability and stresses. Existing Pump Statio n Existing Junction Box (b) Downstream View –Drone Picture Existing Sewer Line Location of Drain Opening Starter Block Location of Drain Opening Lift line 1 Lift line 2 Lift line 3 Starter Block Existing Sewer Line (a) Close-up View Existing Thrust Block Town of Lake Lure Lake Lure Dam Structural Analysis and Design for Reservoir Drain April 22, 2022 Page 5 Schnabel Engineering South, P.C. Project 18C21024.020 ©2022 All Rights Reserved 2.3 Scope of Services Task Order No. 5 authorized by the Town on May 13, 2021, defines the scope of services for this portion of the project. The scope of services for this task includes analyses to develop the appropriate size and configuration for the concrete encasement. FE models of Bay 5 were developed to understand the stress distribution and load transfer between the dam lower lift lines and concrete encasements. Bay 5 is the bay chosen for the construction of the reservoir drain. The FE model consists of five bays, which were modeled with a constant height as a simplification to mitigate the boundary effect on the analysis for Bay 5. The middle bay (Bay 5) was modeled with the three lowest lift lines and concrete encasement. Upper lift lines were not considered because there are no abrupt changes in loading or resistance above the new encasement. 2.4 Vertical Datum The elevations included in this report are in feet and reference the North American Vertical Datum of 1988 (NAVD 88) and based on the survey by Ed Holmes and Associates (2018). The abbreviation “EL” represents NAVD 88 Elevation unless expressed otherwise. The original design drawings reference Mean Sea Level (MSL), which requires a vertical datum shift of -0.46 feet to NAVD 88 (i.e., ELMSL – ELNAVD 88 = 0.46 feet). 2.5 Terminology Descriptive nomenclature for dams is based upon one looking downstream. The terms “right” and “left” are referenced in this manner. The reservoir side is known as “upstream” with the opposite side of the dam referred to as “downstream”. 3.0 BACKGROUND INFORMATION FOR STABILITY ANALYSES To support the structural analyses presented herein, Schnabel reviewed historical information, including construction drawings, photographs, previous reports, lab test data, and previous stability analyses. 3.1 Review of Historical Data According to FERC Chapter X (1997), multiple arch buttress dams are generally semi-circular with central angles between 100 and 180 degrees. Lake Lure Dam’s central angle of its arches is approximately 130 degrees based on the recent survey by Ed Holmes and Associates (2018). Arches may be unreinforced or reinforced, and there are no available construction drawings that indicate whether or not any reinforcing steel was provided in the arches at Lake Lure Dam. Based on our visual inspection (2018), which included non-destructive examination using ground penetrating radar (GPR) in select areas, we did not observe any steel reinforcement in the arches. Steel reinforcement was located in the top 12 feet of the buttresses using GPR. Our review of available construction photographs and our visual observations of exposed reinforcing steel indicate that the upstream ends of the buttresses at the corbel are also reinforced. We reviewed select original construction drawings prepared by the dam’s design engineer, Mees and Mees of Charlotte, NC, dated August 1925. The available drawings primarily include details for the bridge across the dam, the spillway gates, and the hydroelectric powerhouse. Few details regarding the Town of Lake Lure Lake Lure Dam Structural Analysis and Design for Reservoir Drain April 22, 2022 Page 6 Schnabel Engineering South, P.C. Project 18C21024.020 ©2022 All Rights Reserved construction (i.e., geometry, reinforcement, etc.) of the arches, buttresses, and structural connections were included on the available drawings. Therefore, a bathymetric and topographic survey using multi- beam echo sounding, High-Definition Laser Scanning, and traditional surveying performed by Ed Holmes and Associates (2018) was used to determine key dimensions required for the stability analyses. The U.S. Army Corps of Engineers (USACE) Phase I Inspection Report included a review of available information, a review of operation and maintenance procedures, a visual inspection, a spillway capacity assessment, and a qualitative evaluation of the structural stability of Lake Lure Dam. The dam was determined to be in good structural condition and well-maintained, though concrete spalling, erosion, and leakage through the arch lift lines were observed in several areas. 3.2 Review of Previous Stability Analyses A simplified 2-D sectional analysis was performed by Marks Enterprises of NC, PLLC (Marks) in 2016/2017. The results of these analyses and recommendations for repairing the dam are summarized in Marks’ Phase I and Phase II Dam Safety Inspection Reports (2017 and 2018, respectively). Our review comments on the Phase I and Phase II Dam Safety Inspection Reports were provided in our October 29, 2018 letter to the Town. These analyses did not evaluate the stresses in the arches and included several unverified or undocumented assumptions. Schnabel conducted stability analyses for the Lake Lure Dam (both gravity and arch-buttress regions) and submitted the results as a report to the Town in February 2019. Different load combinations and scenarios were considered for the stability evaluation. The arch-buttress region of the dam was modeled according to the geometry of the bay with the highest height (Bay 6), with a total of 7 identical arch bays to reduce boundary effects on the center bay (Bay 6) which was the bay of interest for these models. The load cases of the normal pool, flood loading (200-year storm and PMF), and seismic loading were included in the analyses. For seismic load, the seismic design event with a 10,000-year return was selected in accordance with International Commission for Large Dams (ICOLD 2010). Furthermore, seasonal thermal loads were considered in the analyses. The arch-buttress region did not meet the requirements provided by FERC. The structure had stability issues for the seismic load cases. 3.3 Concrete and Rock Laboratory Testing Compressive and splitting tensile strength test results of concrete samples were available from Marks’ Phase II Report (Marks, 2018). Additionally, as part of Schnabel’s updated condition assessment, Advanced Terra Testing performed unconfined compressive strength (UCS) tests on selected rock samples extracted by Marks. A summary of the results of the available concrete and rock laboratory testing is included in Table 3-1. Refer to the Rock Core Review and Geology Mapping Memo (Schnabel 2018) for more information on the rock testing. Town of Lake Lure Lake Lure Dam Structural Analysis and Design for Reservoir Drain April 22, 2022 Page 7 Schnabel Engineering South, P.C. Project 18C21024.020 ©2022 All Rights Reserved Table 3-1. Material Test Results (Marks 2018, Schnabel 2018) Material Value Total Unit Weight, γ (pcf) Elastic Modulus, E (ksi) Compressive Strength, f`c (psi) Splitting Tensile Strength, ft (psi) Foundation Rock Range N/A 4,100 – 20,000 6,500 – 17,250 N/A Mean ± Standard Deviation N/A 14,000 ± 6,560 12,000 ± 4,390 N/A Concrete Range 138 – 150 N/A 1,890 – 4,070 290 – 615 Mean ± Standard Deviation 142.6 ± 5.3 N/A 3,316 ± 685 453 ± 96 Furthermore, Schnabel also conducted concrete compressive strength tests on the samples taken from Bay 5 in July 2021 to evaluate the concrete in Bay 5, where the concrete encasement will be constructed. The results summary is presented in Table 3-2. Table 3-2. Additional Concrete Compressive Strength Tests (2021) Value Total Unit Weight, γ (pcf) Compressive Strength, f`c (psi) Range 140.8 - 147.3 1,920 – 3,690 Mean ± Standard Deviation 144± 2 2,888 ± 618 Considering these three sets of tests (2018 Marks, 2018 Schnabel, 2021 Schnabel), the mean and standard deviation for the concrete compressive strength and unit weight are 3,145 ± 692 psi and 143.0 ± 4.7 pcf, respectively. These values, along with the values in Table 3-1 and suggested values included in Table 4-1 of the USBR’s State-of-Practice for the Nonlinear Analysis of Concrete Dams (2013), were considered in the selection of material properties for the FE models. The selected material properties are presented in the next section. 4.0 STRUCTURAL STABILITY EVALUATION 4.1 Overview and Scope Schnabel conducted FE analyses on Bay 5 of Lake Lure Dam. The models include Bay 5 with two bays on each side of Bay 5. In Bay 5, three lower lift lines with a lower drain hole with a diameter of 6 feet were modeled. The encasement concrete was also modeled downstream of the arch. The additional bays were modeled with the same geometry as Bay 5 except only the lift line between the main arch and starter block was modeled to reduce boundary effects on the results of Bay 5 (middle bay). According to the sensitivity analysis conducted by Schnabel in 2018-2019, which incrementally modeled up to seven arches, modeling a minimum of five arches mitigated the boundary effects. As a modeling approximation and to reduce the boundary effects, all five bays were modeled with the same base elevation. Town of Lake Lure Lake Lure Dam Structural Analysis and Design for Reservoir Drain April 22, 2022 Page 8 Schnabel Engineering South, P.C. Project 18C21024.020 ©2022 All Rights Reserved The primary objectives of the analyses were to:  Evaluate the structural behavior of the dam with the concrete encasement.  Determine the load path from the arch to the encasement and calculate load demand to design potential dowels into the existing concrete and rock.  Estimate the displacements and stress distribution in Bay 5 caused by installing the encasement and making a hole in the arch.  Evaluate the stability of Bay 5 with and without encasement. The 3-D finite element mesh was generated using TrueGrid software (version 4.01), and the FE analyses were performed using LS-DYNA software (version R12.0). Linear elastic material properties were selected with the assumption that the materials would not be overstressed beyond the elastic range so that this analysis type remains valid (i.e., no cracking). Non-linear behavior of the dam was permitted at select joints near the new encasement by utilizing non-linear contact elements to simulate the behavior of lift lines (concrete cold joints) that were expected to be most critical and the concrete-to-rock interface. The finite element models include the existing dam, the concrete encasement, and the surrounding rock foundation. The geometries of the dam components were obtained from available design drawings (Mees and Mees (1925)) and the 2018 survey by Ed Holmes and Associates (Appendix A). Elevations of key features of the selected dam regions are listed in Table 4-1. Table 4-1. Elevations of Key Features Included in FE Models Bay Location EL 5 (Middle Arch Bay) Assumed Maximum Top of Competent Rock at Base 890.0 Top of Starter Block at Middle of Bay 902.9 Upstream Silt Level 896.0 Arch Vertical-to-Slope Transition (Middle of Arch) 982.5 Arch Vertical-to-Slope Transition (End of Arch) 976.4 Buttress Top 998.7 Top of Arch 992.6 All Crest of Road Surface (Not Modeled as Finite Elements, Used for Loading Only) 1002.5 Top of Bridge Railing (Not Modeled as Finite Elements, Used for Loading Only) 1006.3 Normal Headwater Elevation 990.0 Normal Tailwater Elevation (Assumes Only Main Turbine in Operation) 889.7 4.2 Codes and Analysis Standards The dam is under the jurisdiction of NC DEQ Dam Safety. The acceptance criteria per the North Carolina Administrative Code Title 15A, Department of Environment and Natural Resources, Subchapter 2K – Town of Lake Lure Lake Lure Dam Structural Analysis and Design for Reservoir Drain April 22, 2022 Page 9 Schnabel Engineering South, P.C. Project 18C21024.020 ©2022 All Rights Reserved Dam Safety include standards developed by major federal dam safety agencies. The acceptance criteria based on Federal Energy Regulatory Commission (FERC) Engineering Guidelines, Chapter X - Other Dams (1997) was selected. FERC Engineering Guidelines Chapter X references acceptance limits such as allowable stresses per FERC Engineering Guidelines Chapter 3 - Gravity Dams (2016). 4.3 Factors of Safety and Allowable Stresses The performance of the concrete multiple arch buttress dam was evaluated under static and pseudo- static loading combinations using deflections and stresses. Applicable static loads were considered and combined according to their probabilities of occurrence in three categories: Usual, Unusual, and Extreme loading combinations, which are assigned to each load case. The stress results were evaluated for each load combination and compared to allowable stresses based on the ultimate strength of the concrete (based on test results) reduced by the applicable factor of safety (per FERC Chapter 3 Table 2A) listed in Table 4-2. The factors of safety listed are valid for the assumption of friction only with no cohesion. Table 4-2. Target Minimum Factors of Safety for Concrete Multiple Arch Buttress Dams Loading Combination Compressive Stress Tensile Stress Internal Shear Stress Stresses and Sliding Stability Usual 1.5 1.5 1.5 1.5 Unusual (Construction Phase1 of Encasement) 1.5 1.5 1.5 1.5 Extreme (PMF ) 1.3 1.3 1.3 1.3 Notes: 1. The construction phase was also considered as an unusual load case to evaluate the stability and stress distribution during the construction of the encasement when only the portion of the encasement upstream of the guard valve is in place. The allowable stresses considered for the current analysis are listed in Table 4-3. The stress limits are derived based on the results of the material testing program discussed in Section 3.3. The summary of the considered material properties is shown in Table 4-4. Table 4-3. Allowable Stresses for Concrete Multiple Arch Buttress Dams and Gravity Dams and Rock Foundation Loading Combination Concrete Comp. Stress (psi)1 Concrete Tensile Stresses (psi)2 Concrete Internal Shear Stresses (psi)3 Tensile Stress at Concrete to Rock Interface (psi) Rock Comp. Stress (psi)4 Usual 2,000 230 200 0 4,300 Unusual 2,000 230 200 0 4,300 Town of Lake Lure Lake Lure Dam Structural Analysis and Design for Reservoir Drain April 22, 2022 Page 10 Schnabel Engineering South, P.C. Project 18C21024.020 ©2022 All Rights Reserved Loading Combination Concrete Comp. Stress (psi)1 Concrete Tensile Stresses (psi)2 Concrete Internal Shear Stresses (psi)3 Tensile Stress at Concrete to Rock Interface (psi) Rock Comp. Stress (psi)4 Extreme 2,300 270 230 0 5,000 Notes: 1. Values were calculated by dividing the 3000 psi by the factors in Table 4-2. 2. The tensile strength was calculated using 1.7 f’c2/3 = 354 psi (USBR 2013, Section 4.3). Values in the table were estimated by dividing the 354 psi by the factors in Table 4-2. 3. The concrete internal shear stress was estimated using an equation recommended (0.10 f’c) in U.S. Bureau of Reclamation (2013) over the factors in Table 4-2. 4. Values were calculated by dividing the 6,500 psi (refer to Table 3-1) by the factors in Table 4-2. Mechanical properties of concrete and rock for the FE analysis were selected based on a review of available laboratory test results, recommended published values from the USBR (2013), and our experience with similar materials. The selected concrete compressive strength for the analyses was 3,000 psi based on the average tested compressive strength (Marks, 2018 and Schnabel 2021 test results). As stated above, there was no evidence of reinforcing steel in the arches and below the top 12 feet of the buttresses except at the corbels where the arches bear on the buttresses. With no detailed construction drawings of the buttresses, the concrete was conservatively modeled as unreinforced in the FE analyses. The summary of selected material properties in the FE analysis is presented in Table 4-4. The factor of safety against sliding, FOS, was calculated as: 𝐹𝐹𝐹𝐹𝐹𝐹=(∑𝑁𝑁+∑𝑈𝑈)𝑡𝑡𝑡𝑡𝑡𝑡𝑡𝑡∑𝑉𝑉 where ∑𝑁𝑁= summation of normal forces ∑𝑈𝑈= summation of uplift forces, acting in opposite direction of normal forces (negative if opposite N) 𝑡𝑡𝑡𝑡𝑡𝑡𝑡𝑡= coefficient of internal friction = tan(45°) = 1.0 ∑𝑉𝑉 = summation of shear forces Town of Lake Lure Lake Lure Dam Structural Analysis and Design for Reservoir Drain April 22, 2022 Page 11 Schnabel Engineering South, P.C. Project 18C21024.020 ©2022 All Rights Reserved Table 4-4. Material Properties Used for Analyses and Assessing Allowable Stress Limits Properties Directly Input in FE Model Properties Not Used in Model but Used in Post- FEA Strength and Stability Evaluation (Excludes Factor of Safety) Material Total Unit Weight γ (pcf) Elastic Modulus E (ksi) Poisson’s Ratio ν Cohesion c’ (psi) Friction Angle at Joint φ’ (deg) Compressive Strength f`c (psi) Tensile Strength ft (psi) Foundation Rock N/A 4,1001 0.152 0 N/A 6,5003 N/A Silt 854 N/A N/A 0 N/A N/A N/A Concrete/ Lift Line 1435 3,1006 0.15 0 457 3,0008 0 Concrete- to-Rock Lift Joint N/A N/A N/A 0 457 N/A 0 Notes: 1. Elastic modulus value in FE Model is selected based on deformation modulus of elasticity, which is a more representative measure of material behavior of in situ conditions as it considers fractures in rock. Lower bound of rock test data was conservatively selected to create upper bound stresses in the concrete as it displaces compatible with softer rock. 2. No test data is available for Poisson’s ratio. According to Gere (2001), the typical range is from 0.1 – 0.2, so the median value of 0.15 is selected. 3. The lower bound of rock test data was selected to be conservative. 4. Horizontal pressure exerted by saturated silt was assumed to be equivalent to a fluid weighing 85 pcf in accordance with USACE EM 1110-2-2100 (2005). 5. Average from test data (2018 and 2021). 6. ACI 350 = ~57,000(f’c)1/2 = 3.12 x 106 psi. 7. According to Schnabel's experience with similar materials and recommendations by USBR (2013). 8. Slightly less than the average from test data (2018 and 2021). Town of Lake Lure Lake Lure Dam Structural Analysis and Design for Reservoir Drain April 22, 2022 Page 12 Schnabel Engineering South, P.C. Project 18C21024.020 ©2022 All Rights Reserved 4.4 Description of Loads This section describes the applied loads on the dam that were used in the analyses of the various load cases. 4.4.1 Dead Load The dead load is the self-weight of the dam only. The unit weight of the concrete was selected as 143 pcf based on our review of available material test results. Furthermore, the self-weight of the concrete bridge load was estimated and included in the dam model as loads applied to the top of the buttresses (Appendix B). 4.4.2 Silt Load Based on the underwater survey performed by Ed Holmes and Associates in 2018, a silt elevation of EL 896.0 was used in the models. Horizontal pressure exerted by saturated silt on the upstream face of the dam was assumed to be equivalent to a fluid weighing 85 pcf. Vertical silt pressure is determined assuming silt has a wet density of 120 pcf in accordance with USACE EM 1110-2-2100 (2005). 4.4.3 Hydrostatic Load Reservoir and tailwater levels during flood events were determined based on the results of the hydraulic analyses performed by Schnabel (2019). Normal headwater and tailwater elevations were set at EL 990 and EL 889.7, respectively, according to survey drawings (Appendix A). Headwater and tailwater were not included as finite elements in the model. Water pressure was considered to vary directly with depth and applied normal to the dam surface using pressure load functions. The PMF was considered for the Extreme load cases based on the potential for loss of human life and extensive property damage resulting from a dam failure. Headwater and tailwater elevations used in the analyses are listed in Table 4-5. Table 4-5. Hydrostatic Loading Conditions Loading Description Headwater EL Tailwater EL Normal Pool 990.0 889.7 PMP 1008.7 917.1 4.4.4 Uplift 4.4.4.1 Arch Region Based on our visual observations and review of construction photographs, we assumed the buttresses are founded directly on the foundation bedrock. Therefore, we assumed that the uplift below the buttresses corresponds to the tailwater level. The tailwater for the normal pool is below the assumed bottom of buttress and the tailwater pressure on the downstream face of dam is assumed to be zero, as shown in Figure 4-1. Town of Lake Lure Lake Lure Dam Structural Analysis and Design for Reservoir Drain April 22, 2022 Page 13 Schnabel Engineering South, P.C. Project 18C21024.020 ©2022 All Rights Reserved The uplift distribution for the side bays is different from the middle bay. The uplift gradient for the side bays varies linearly from the headwater pressure at the upstream edge of the starter block to the tailwater pressure (zero for the normal pool) at the downstream edge of the starter block, as shown in Figure 4-1a. The uplift distribution under the starter block of Bay 5 (middle bay) is assumed to be constant and equal to the headwater, assuming a fully-cracked contact under the existing starter block. The uplift value at the upstream edge of concrete encasement is assumed to be 50% of headwater for the normal pool, considering a new drainage system with 50% effectiveness, as shown in Figure 4-1b. Furthermore, the uplift pressure is assumed to be constant and equal to zero (tailwater pressure) for the rest of the concrete encasement (see Figure 4-1b) for normal pool conditions. The loads for the construction phase are presented in Figure 4-2. The hydrostatic loads are applied according to the normal pool elevation. The uplift under the starter block of Bay 5 (middle bay) is assumed to be constant and equal to the normal pool headwater elevation, assuming a fully-cracked contact under the existing starter block. The uplift value at the upstream edge of concrete encasement is assumed to be 50% of headwater for the normal pool, considering a drainage system with 50% effectiveness, as shown in Figure 4-2b. According to FERC Engineering Guidelines Chapter X – Subchapter 10-2.5.1, the cracked base type of analysis is not applicable for buttress unless the dam is built on continuous slabs or has shallow subhorizontal discontinuities in the foundation. Further subsurface investigations would be needed to determine if such discontinuities are present to assign a more representative uplift profile under the buttresses. For the PMF load cases, additional hydrostatic pressures were added to the normal pressure. The additional loads are presented in Figure 4-3. Figure 4-3a and Figure 4-3b illustrate the additional hydrostatic pressure due to PMF on the side bays and the middle bay (Bay 5), respectively. The additional upstream pressure increases linearly from the top surface of the buttress to the normal pool level (EL 990) and is constant for the elevations below the normal pool headwater. The tailwater pressure linearly increases from the tailwater level (EL 917.1) to the rock surface (EL 890), considering 60% retrogression to the bedrock. The additional uplift pressure distribution (due to PMF) differs from side bays to the middle bay. The additional uplift pressure (due to PMF) linearly increases from the upstream edge of the starter block to the downstream edge of the starter block for the side bays (Figure 4-3a) and then is constant after the starter block. The increase in the tailwater elevation is more than the increase in the headwater due to PMF as shown in Figure 4-3a. However, the additional uplift pressure (due to PMF) in Bay 5 is constant under the starter block (assuming a fully-cracked contact between the started block and rock). The PMF pressure under the upstream edge of the encasement is slightly more than the pressure under the starter block. The equation to calculate the uplift at the upstream edge of the encasement is derived from the equations recommended in USACE EM 1110-2-2200 assuming zero compression zone not extending beyond drains. Then, the PMF pressure slightly increases to the tailwater pressure due to the PMF. The PMF pressure under the rest of the encasement is constant and equal to the tailwater pressure due to PMF (Figure 4-3b). Town of Lake Lure Lake Lure Dam Structural Analysis and Design for Reservoir Drain April 22, 2022 Page 14 Schnabel Engineering South, P.C. Project 18C21024.020 ©2022 All Rights Reserved Figure 4-1. Normal Pool Load Case: (a) Side Bays; (b) Middle Bay (Bay 5) HUS EL 990 γ w HUS (γ silt-γw)Hsilt Mdamg (a) HUS EL 990 γ wHUS (γ silt-γw)Hsilt Mdamg (b) 0.5γwHUS Town of Lake Lure Lake Lure Dam Structural Analysis and Design for Reservoir Drain April 22, 2022 Page 15 Schnabel Engineering South, P.C. Project 18C21024.020 ©2022 All Rights Reserved Figure 4-2. Construction Phase Load Case: (a) Side Bays; (b) Middle Bay (Bay 5) HUS EL 990 γ w HUS (γ silt-γw)Hsilt Mdamg (a) Mdamg γ w HUS 0.5γwHUS EL 990 HUS (γ silt-γw)Hsilt (b) Town of Lake Lure Lake Lure Dam Structural Analysis and Design for Reservoir Drain April 22, 2022 Page 16 Schnabel Engineering South, P.C. Project 18C21024.020 ©2022 All Rights Reserved Figure 4-3. PMF Additional Hydrostatic Pressure: (a) Side Bays; (b) Middle Bay (Bay 5) Mdam g EL 1008.7 EL 906.3 EL 917.1 γ w ΔHUS_PMF Normal Pool EL 990ΔHUS_PMF γ w ΔHUS_PMF Δ HDS_PMF γ w ΔHDS_PMF (a) Mdamg EL 1008.7 EL 906.3 EL 917.1 γ w ΔHUS_PMF Normal Pool EL 990ΔHUS_PMF γ wΔHUS_PMF Δ HDS_PMF γ w ΔHDS_PMF (b) HUS_PMF γ w (0.5(HUS_PMF -Δ HDS_PMF ) + Δ HDS_PMF -0.5HUS_NP ) Town of Lake Lure Lake Lure Dam Structural Analysis and Design for Reservoir Drain April 22, 2022 Page 17 Schnabel Engineering South, P.C. Project 18C21024.020 ©2022 All Rights Reserved 4.4.5 Seismic Load The seismic loading is not considered for the Bay 5 model with the concrete encasement in this report since the concrete encasement is expected to have a negligible effect on the overall performance of the dam against the seismic loading. In the upstream/downstream direction, the concrete encasement is expected to improve the sliding resistance against the driving forces, including the seismic forces. In the cross-canyon direction, the seismic effect of the encasement is expected to be negligible, considering the primary modal shapes for the Bay 6 model in the stability report (Schnabel, 2019). 4.5 Load Cases Load cases were developed in this section to satisfy NC DEQ Dam Safety criteria. Load cases are classified as Usual, Unusual, or Extreme according to FERC criteria based on likelihood and shown in parentheses. Each load case is named by using the suffix “A” or “B”, which indicates the different contact conditions of models. In the load cases with the suffix “A”, all contacts between blocks of elements (e.g. lift lines and concrete-to-rock interface) were assumed to be frictional except for contacts between the arches and buttresses, which were mortar tied (LS-DYNA contact type). In the load cases with the suffix “B”, all contacts were assumed to be frictional (mortar contact). Load case 1 (LC1-A and LC1-B) contain the penetration through the arch but no concrete encasement and were provided to demonstrate the need for the encasement. Load case 2 (LC2-A and LC2-B) includes the new penetration through the dam and the new encasement. Load case 3 (LC3-A and LC3-B) considers the encasement during the construction phase. In this loading scenario, the concrete encasement is not completely constructed (only the portion of the encasement against the arch that will be in place when the penetration through the arch is made is built in the model). Load case 4 includes the PMF with the encasement constructed. The load cases listed below were analyzed: LC1-A: Normal Operating Condition for Dam with Hole and without Concrete Encasement, with Mortar Tied Contacts Between the Arches and Buttresses (Usual)  Normal headwater level EL 990.0  Dead load  Silt load EL 896.0  Tailwater EL 889.7, below the rock surface elevation  Uplift varying linearly from headwater to tailwater under starter block for side bays, no uplift pressure under the buttresses  Uplift pressure is constant and equal to headwater under starter block for Bay 5 (fully-cracked contact between starter block and rock), no uplift pressure in the downstream of the dam LC1-B: Normal Operating Condition for Dam with Hole and without Concrete Encasement, with All Frictional Contacts (Usual)  Normal headwater level EL 990.0  Dead load  Silt load EL 896.0  Tailwater EL 889.7, below the rock surface elevation Town of Lake Lure Lake Lure Dam Structural Analysis and Design for Reservoir Drain April 22, 2022 Page 18 Schnabel Engineering South, P.C. Project 18C21024.020 ©2022 All Rights Reserved  Uplift varying linearly from headwater to tailwater under starter block for side bays, no uplift pressure under the buttresses  Uplift pressure is constant and equal to headwater under starter block for Bay 5 (fully-cracked contact between starter block and rock) LC2-A: Normal Operating Condition for Dam with Hole and with Concrete Encasement, with Mortar Tied Contacts between the Arches and Buttresses (Usual)  Normal headwater level EL 990.0  Dead load  Silt load EL 896.0  Tailwater EL 889.7, below the rock surface elevation  Uplift varying linearly from headwater to tailwater under starter block for the side bays, no uplift pressure under the buttresses  For Bay 5, constant pressure under the starter block and the linear uplift decrease from 50% of headwater (due to a drainage system) at the upstream edge of encasement to zero at the beginning of encasement with a constant section, no uplift pressure under the downstream region of encasement LC2-B: Normal Operating Condition for Dam with Hole and with Concrete Encasement, with All Frictional Contacts (Usual)  Normal headwater level EL 990.0  Dead load  Silt load EL 896.0  Tailwater EL 889.7, below the rock surface elevation  Uplift varying linearly from headwater to tailwater under starter block for the side bays, no uplift pressure under the buttresses  For Bay 5, constant pressure under the starter block and the linear uplift decrease from 50% of headwater (due to a drainage system) at the upstream edge of encasement to zero at the beginning of encasement with a constant section, no uplift pressure under the downstream region of encasement LC3-A: Construction Phase of Concrete Encasement – Normal Pool, with Mortar Tied Contacts between the Arches and Buttresses, Upstream Portion of Encasement Constructed (Unusual)  Normal headwater level EL 990.0  Dead load  Silt load EL 896.0  Tailwater EL 889.7, below the rock surface elevation  Uplift varying linearly from headwater to tailwater under starter block for the side bays, no uplift pressure under the buttresses  For Bay 5, constant pressure under the starter block and the linear uplift decrease from 50% of headwater (due to a drainage system) at the upstream edge of encasement to zero at the beginning of encasement with a constant section, no uplift pressure under the downstream region of encasement LC3-B: Construction Phase of Concrete Encasement – Normal Pool, with All Frictional Contacts, Upstream Portion of Encasement Constructed (Unusual)  Normal headwater level EL 990.0 Town of Lake Lure Lake Lure Dam Structural Analysis and Design for Reservoir Drain April 22, 2022 Page 19 Schnabel Engineering South, P.C. Project 18C21024.020 ©2022 All Rights Reserved  Dead load  Silt load EL 896.0  Tailwater EL 889.7, below the rock surface elevation  Uplift varying linearly from headwater to tailwater under starter block for the side bays, no uplift pressure under the buttresses  For Bay 5, constant pressure under the starter block and the linear uplift decrease from 50% of headwater (due to a drainage system) at the upstream edge of encasement to zero at the beginning of encasement with a constant section, no uplift pressure under the downstream region of encasement LC4-A: Probable Maximum Precipitation for Dam with Hole and with Concrete Encasement, with Mortar Tied Contacts between the Arches and Buttresses (Extreme)  PMP headwater level EL 1008.7  Dead load  Silt load EL 896.0  Tailwater EL 917.1, considering 60% retrogression for the downstream hydrostatic pressure  Uplift varying linearly from headwater to tailwater under starter block for the side bays, and constant uplift pressure (tailwater pressure) under the buttresses  For Bay 5, constant pressure under the starter block and the linear uplift decrease from a value less than headwater (due to a drainage system) at the upstream edge of encasement to the tailwater pressure at the beginning of encasement with a constant section; constant uplift pressure (tailwater pressure) under the buttresses and downstream region of encasement LC4-B: Probable Maximum Precipitation for Dam with Hole and with Concrete Encasement, with All Frictional Contacts (Extreme)  PMP headwater level EL 1008.7  Dead load  Silt load EL 896.0  Tailwater EL 917.1, considering 60% retrogression for the downstream hydrostatic pressure  Uplift varying linearly from headwater to tailwater under starter block for the side bays, and constant uplift pressure (tailwater pressure) under the buttresses and downstream region of encasement  For Bay 5, constant pressure under the starter block and the linear uplift decrease from a value less than headwater (due to a drainage system) at the upstream edge of encasement to the tailwater pressure at the beginning of encasement with a constant section; constant uplift pressure (tailwater pressure) under the buttresses and downstream region of encasement 4.6 Stability Analysis – Finite Element Method The FE analyses were performed using the program LS-DYNA. LS-DYNA is a finite element analysis software utilized to perform deformation and stability analysis for various types of structures. The model was used to simulate the behavior of concrete and the surrounding geologic media. Water and silt levels are input as nodal loads or element face pressures and are not explicitly modeled as fluid elements in the finite element mesh. Town of Lake Lure Lake Lure Dam Structural Analysis and Design for Reservoir Drain April 22, 2022 Page 20 Schnabel Engineering South, P.C. Project 18C21024.020 ©2022 All Rights Reserved 4.6.1 Description of the Finite Element Model Geometry The FE model geometry was created using hexahedron (6-sided) solid elements. A consistent unit system is defined for all the input data. The FE mesh of the concrete dam and rock was created using TrueGrid meshing software. Bay 5 of the arch-buttress region of the dam was modeled, which included the three lowest lift lines of the arch with the drain system opening and the proposed concrete encasement. The analysis models consist of the five bays (four side bays and one middle bay) with the same geometry as Bay 5 (middle bay) to reduce the boundary effect on the analysis results of Bay 5. The geometry of the encasement is considered minimum extents for the purposes of the structural analysis. Due to constructability considerations or modeling approximations, slight variations of the modeled geometry are included on the final design drawings in the Design Report, such as squaring off of the downstream end of the full bay width encasement rather than tapering as shown in this model. Only the lift line between the arch and the starter block is modeled in the side bays. The focus of the analyses is the middle bay (Bay 5). The geometry of the model looking downstream (a) and upstream (b) is presented in Figure 4-4. The Z-direction is along the height of dam, the Y-direction is from the upstream towards downstream of the dam, and the X-direction is along the cross-canyon direction from left to right of the dam (Figure 4-4). The geometry of the dam and silt elevation was based on the 2018 survey by Ed Holmes and Associates. According to the limited available design drawings and construction photographs, there is no information indicating that the dam is keyed into the rock, and consequently, the bottom of the dam was assumed to be placed directly on top of the rock. In the FE model, a horizontal contact surface was placed at the concrete-rock interface. Additionally, the critical contraction joints, expansion joints, and lift lines above the base elevation are considered using contact surfaces. The limits of the foundation model include approximately 205 ft in the cross-canyon direction. The bottom of the rock is at EL 662.4, and the top of rock upstream and downstream of the concrete sections is at EL 890 for the FE model. Table 4-1 summarizes the key elevations in the models. 41 ft41 ft41 ft41 ft41 ft Bay 5 Arch Starter block Buttress Lift line 1 Lift line 2 Lift line 3 Bed rock (a) Town of Lake Lure Lake Lure Dam Structural Analysis and Design for Reservoir Drain April 22, 2022 Page 21 Schnabel Engineering South, P.C. Project 18C21024.020 ©2022 All Rights Reserved Figure 4-4. TrueGrid Finite Element Mesh The smallest dimension per element size varies from approximately 5.5 inches to 344 inches. The implicit solver in LS-DYNA (version R12.0) was used, so the element size did not adversely affect the solution time step. The total number of nodes and elements for the models with the encasement is shown in Table 4-6. Table 4-6. Summary for Number of Nodes and Elements Number of Nodes Number of Elements 76771 59230 TrueGrid’s built-in diagnostics indicate that there are no negative Jacobians in the model (reference Figure 4-5), which is one metric for assessing the quality of the mesh, which was considered acceptable. The TrueGrid mesh was written to a keyword input file (.k) for LS-DYNA. Starter block Buttress Concrete encasement (b) Town of Lake Lure Lake Lure Dam Structural Analysis and Design for Reservoir Drain April 22, 2022 Page 22 Schnabel Engineering South, P.C. Project 18C21024.020 ©2022 All Rights Reserved Figure 4-5. TrueGrid Element Jacobians for Dam Parts LS-DNYA has no built-in unit system, and it is up to the user to select a system of consistent units. Units selected for input and output are shown in Table 4-7. Table 4-7. System of Consistent Units Selected for LS-DYNA Input and Output Mass Length Time Force Stress Energy Mass Density Elastic Modulus Temperature lbf-sec2/ in in sec lbf psi lbf-in lbm/in3 psi °F Rock Starter block Middle arch Left/Right arch Between Lift 1 and 2 Between Lift 2 and 3 Buttress Block part 1 Block part 2 Town of Lake Lure Lake Lure Dam Structural Analysis and Design for Reservoir Drain April 22, 2022 Page 23 Schnabel Engineering South, P.C. Project 18C21024.020 ©2022 All Rights Reserved The non-linear response of the dam is expected to occur at the location of the lift lines or concrete-rock interface. The critical lift lines at the locations of abrupt changes in geometry were considered. The lift lines are incorporated into the model with contact surfaces such that the elements above and below the lift lines do not have any shared nodes. Figure 4-6 shows the modeled lift lines and contacts. The majority of concrete-rock and concrete-concrete interfaces were typically modeled through frictional contact algorithms in LS-DYNA to evaluate the potential sliding of the dam along those planes. The frictional contacts included the concrete-rock interface downstream of the dam, the lift lines above the starter block, and slope transition in the arches. The arch-to-buttress contacts (or starter blocks/buttresses) were modeled as frictional contacts (mortar in LS-DYNA) for load cases with suffix “A” and non-frictional contacts (mortar tied in LS-DYNA) for load cases with suffix “B”. Automatic_Surface_to_Surface_Mortar contact from the LS-DYNA library was applied at the lift lines to allow frictional behavior. This contact algorithm is primarily focused on accuracy and robustness, and it is recommended for implicit analysis (LS-DYNA Theory Manual). There was no indication of reinforcement and shear keys along the lift lines in the arch construction. For this reason, zero tensile strength and cohesion were considered along the lift lines. The sliding resistance is calculated based on standard Coulomb friction law: 𝜎𝜎𝑠𝑠=tan 𝑡𝑡𝜎𝜎𝑛𝑛 where 𝜎𝜎𝑠𝑠= Shear (sliding) strength tan 𝑡𝑡= Coefficient of friction = tan (45°) = 1.0 𝜎𝜎𝑛𝑛= Normal (compressive) stress The contact between the lift lines and concrete encasement upstream was modeled with a very low friction coefficient (0.01). No surface preparation is planned for the arch surface, there may be relative movement between the two blocks of concrete (e.g., due to temperature and shrinkage), and the encasement will not necessarily be fully bonded to the arch surface. Therefore, the low friction angle was used in the model in the contact. In the normal direction, Mortar contact utilizes a standard penalty-based stiffness model that allows separation (i.e., opening or cracking), and in that case, no sliding resistance is provided by the separated section. The combination of the loads was applied to the dam based on section 4.5. Town of Lake Lure Lake Lure Dam Structural Analysis and Design for Reservoir Drain April 22, 2022 Page 24 Schnabel Engineering South, P.C. Project 18C21024.020 ©2022 All Rights Reserved Figure 4-6. Contact Surfaces in Arch Region 4.6.2 Implicit Structural Analysis An implicit structural analysis was run in LS-DYNA version R12.0 using a double-precision SMP solver. The results were post-processed using LS-PrePost 4.5.18x64 on Windows 10 operating system. Due to LS-DYNA's inherent dynamic analysis setup, the implicit static analysis was run over a total time of 0.4 seconds for the PMF load case and 0.3 seconds for all other load cases with a variable timestep varying between 0.0001 and 0.005 seconds. Loads were applied one at a time based on the expected loading sequence and ramped, one by one, from 0 to 100%, within a timeframe of 0.03 seconds each. Each subsequent load was applied after 0.02 seconds of static loading to allow the response to stabilize from the previous load. First , the gravity (dead) loads were applied. Then, the loads associated with normal pool conditions were applied to the dam. The loads associated with the gravity and normal pool conditions are shown in Figure 4-1. There are also loads included with equal values and same location, but in the opposite direction of the uplift loads imparted upon the underneath surface at the lift lines (dam/rock interfaces) to ensure the equilibrium of the forces. Next, the loads associated with the unusual and extreme load cases were added to evaluate the stability of the dam. The additional loads for PMF are shown in Figure 4-3. The analysis continued until the numerical stability of the results was achieved. The entire model, including the concrete encasement, was built and active from the beginning of loading (time zero). However, in reality, the concrete encasement will be constructed in the existing dam when the normal pool hydrostatic driving forces have already been applied to the dam. Therefore, in our model, the encasement carries a portion of the normal pool driving force and additional PMF hydrostatic loads, which accounts for load redistribution should the arches crack and fully bear on the encasement. Bottom of buttresses concrete-rock interface First lift line concrete-concrete interface Bottom of starter block concrete-rock interface Top arch-main arch interface Arch to buttress contraction joint Concrete encasement-lift lines concrete-concrete interface Concrete encasement-rock interface Town of Lake Lure Lake Lure Dam Structural Analysis and Design for Reservoir Drain April 22, 2022 Page 25 Schnabel Engineering South, P.C. Project 18C21024.020 ©2022 All Rights Reserved 4.6.3 Stability and Stress Analysis Results Summary Sliding stability was calculated using output from LS-DYNA for the applicable load cases. Additionally, stress and maximum deformation results were calculated directly in LS-DYNA for each load case and are summarized in this section. The description of load cases is provided in sections 4.4 and 4.5. According to the acceptance criteria in Table 4-2 and Table 4-3, safety factors shall be a minimum of 1.5 for Usual and Unusual and 1.3 for Extreme load cases. The sliding stability factor of safety was calculated for the arch-buttress models using output from LS- DYNA. The normal nodal forces are defined as the net contact force normal to concrete-to-rock and concrete-to-concrete interfaces at the lift lines in which uplift forces act away from the interface. Sliding forces cause global sliding in the downstream (Global +Y) direction. These forces were calculated in each lift line to assess the potential for local sliding failures at the interfaces. The interface friction angle, 𝑡𝑡, used to compute the sliding safety factor was 45°. Summaries of the calculated deflections and stresses for the middle bay (Bay 5, away from boundary effects) are presented in Table 4-8 and Table 4-9 for all load cases. The positive and negative stress signs indicate the tensile and compressive stresses, respectively. Note that the values in the tables were calculated at the end of the model running time after the numerical stabilization. The loads were sequentially applied to the dam: first, gravity load; second, normal pool hydrostatic load; and third, an increase in hydrostatic load to PMF (as applicable). Furthermore, the concrete encasement was loaded from time zero for the models with encasement. Detailed results for each load case and visualizations of deflections and stresses are included in Appendix C. Table 4-8 and Table 4-9 present the analysis results for the FE models without considering any steel dowels in the rock/encasement and starter block/encasement interfaces and using 45 degrees interface friction angle. As shown in Table 4-8 and Table 4-9, Bay 5 and the encasement do not satisfy the stability requirement per FERC without anchoring the encasement. Therefore, steel dowels were designed to improve the sliding stability of encasement. The dowel design forces were taken from an LS-DYNA model for the PMF load (the most critical load case). The model had tied contacts between the dam/rock interface, encasement/rock interface, and the interface between the top surface of the starter block and concrete encasement. We assumed that all driving forces carried in the interfaces were transferred to the dowels, and we neglected the friction in the interfaces to be conservative, assuming the potential uplift reduced the surface friction. Furthermore, according to the Condition Assessment Summary Report on February 28, 2019, Section 4.4, the rock foundation has a GSI value (Geologic Strength Index) of 70 to 75, indicating a good condition of the rock (GSI ranges from 0 to 100). GSI is a quantitative index to represent the overall discontinuity characteristics of the rock. In general, the higher GSI value, the better the quality of rock. The potential failure in the rock/encasement contact is assumed to be shear in the dowels since the rock is evaluated as a good condition according to the field mapping and boring (Schnabel 2019). Therefore, all dowels are designed for the shear stresses. The calculation is provided in Appendix D. The dowel design includes 38 #9 for the encasement/rock interface and 18 #9 for the encasement/starter block interface. All rebar is grade 60. The final drawing of the drain system is provided in the Design Report. Town of Lake Lure Lake Lure Dam Structural Analysis and Design for Reservoir Drain April 22, 2022 Page 26 Schnabel Engineering South, P.C. Project 18C21024.020 ©2022 All Rights Reserved Table 4-8. Sliding Factor of Safety Using 45 Degrees Friction Without Dowels, Displacement, and Stress Results for Load Case 1 and 2 – Bay 5 Item LC1-A (NP-w/o Encasement)1 LC1-B (NP-w/o Encasement-All Frictional)2 LC2-A (NP-with Encasement) LC2-B (NP-with Encasement) Sliding Factor of Safety / Required Sliding Factor of Safety (FOS for Bay 5) 1.37 / 1.5 3 1.39 / 1.5 3 1.43 / 1.5 4 1.45 / 1.5 4 Sliding Factor of Safety / Required Sliding Factor of Safety (FOS for Concrete Encasement) N/A N/A 1.10 / 1.5 5 1.18 / 1.5 5 Max. Displacement, Lower Part of Bay 5, in (Global Y) 0.19 0.26 0.14 0.17 Location of Maximum Displacement (Global Y) Upstream face of Bay 5, between lift lines 2 and 3 at EL 908.9 Upstream face of Bay 5, between lift lines 2 and 3 at EL 908.9 Upstream face of Bay 5, starter block, EL 902.8 Upstream face of Bay 5, EL 914.5 Maximum (Most Tensile/Minor) Principal Stress in Dam (1st Principal Stress), psi 155 / 230 166 / 230 177 / 230 366 / 230 6 Location of Maximum (Most Tensile/Minor) Principal Stress in Dam Downstream face of starter block, EL 900 Downstream face of starter block, EL 900 Above drain hole in arch, between lift lines 2 and 3, EL 910 Above drain hole in arch, between lift lines 2 and 3, EL 910 Minimum (Most Compressive/Major) Principal Stress in Dam (3rd Principal Stress), psi -882 / -2000 -924 / -2000 -302 / -2000 -320 / -2000 Location of Minimum (Most Compressive/ Major) Principal Stress in Dam Drain hole between lifts 1 and 2, EL 905.8 Drain hole between lifts 1 and 2, EL 905.8 Mid arch, above lift line 3, EL 924 Mid arch, above lift line 3, EL 924 Notes: 1. LC1-A is the normal pool (NP) without (w/o) encasement. The suffix “A” indicates that all contacts are frictional except for the contacts between the arches and buttresses, which are non-frictional. 2. LC1-B is normal pool (NP) without (w/o) encasement. The suffix “B” indicates that all contacts are frictional without any exceptions. Town of Lake Lure Lake Lure Dam Structural Analysis and Design for Reservoir Drain April 22, 2022 Page 27 Schnabel Engineering South, P.C. Project 18C21024.020 ©2022 All Rights Reserved 3. The FOS of dam without encasement does not satisfy the target minimum of 1.5 per FERC Chapter 3. The FOS for the models with all frictional contacts is less than the models with non- frictional contacts (up to 1.4%). 4. The FOS increases about 4% for LC2-A and LC2-B (models with the encasement) compared to LC1-A and LC1-B (models without the encasement), excluding the dowels into the foundation. The encasement resisted a portion of the driving force due to the normal pool since it was active from the beginning of loading and so the slightly low factors of safety are considered acceptable. 5. The encasement was modeled from the beginning of loading (gravity and normal pool hydrostatic loads). The FOS for the encasement was calculated considering the normal pool applied to the encasement to account for potential cracking of the bottom arch lifts and load distribution from arch action to arch bearing on the encasement. The FOS of encasement does not satisfy the FERC sliding requirement, but the encasement is still stable (FOS > 1.0) despite the conservatism in the loading sequence. 6. There is a tensile stress concentration around the location of the drain hole between lift lines 1 to 3 (refer to Figure 4-4 for the lift line labels). Town of Lake Lure Lake Lure Dam Structural Analysis and Design for Reservoir Drain April 22, 2022 Page 28 Schnabel Engineering South, P.C. Project 18C21024.020 ©2022 All Rights Reserved Table 4-9. Sliding Factor of Safety Using 45 Degrees Friction Angle Without Dowels, Displacement, and Stress Results for Load Case 3 and 4 – Bay 5 Item LC3-A (NP-Construction Phase)1 LC3-B (NP-Construction Phase-All Frictional)2 LC4-A (PMF-with Encasement) LC4-B (PMF-with Encasement) Sliding Factor of Safety / Required Sliding Factor of Safety (FOS for Bay 5) 1.36 / 1.5 3 1.37 / 1.5 3 1.14 / 1.3 3 1.14 / 1.3 3 Sliding Factor of Safety / Required Sliding Factor of Safety (FOS for Concrete Encasement) 1.0 / 1.5 4 1.0 / 1.5 4 1.04 / 1.3 4 1.0 / 1.3 4 Max. Displacement, Lower Part of Bay 5, in (Global Y) 0.16 0.18 0.28 5 0.35 5 Location of Maximum Displacement (Global Y) Upstream face of Bay 5, starter block, EL 902.8 Upstream face of Bay 5, EL 914.5 Upstream face of Bay 5, EL 914.5 Upstream face of Bay 5, EL 914.5 Maximum (Most Tensile/Minor) Principal Stress in Dam (1st Principal Stress), psi 95 / 230 198 / 230 167 / 270 195 / 270 Location of Maximum (Most Tensile/Minor) Principal Stress in Dam Upstream face of starter block, EL 897, at corners; Downstream face of starter block, EL 891, at corners Above drain hole in arch, between lift lines 2 and 3 6, EL 910 Downstream face of Starter block, EL 892 and 890 Downstream face of Starter block, EL 892 and 890 Minimum (Most Compressive/Major) Principal Stress in Dam (3rd Principal Stress), psi -368 / -2000 -323 / -2000 -819 / -2000 -813 / -2000 Location of Minimum (Most Compressive/ Major) Principal Stress in Dam Bottom surface of starter block, close to downstream face, at corners, EL 890 Mid arch, above lift line 3, EL 924 Top surface of drain hole in arch, EL 910 Top surface of drain hole in arch, EL 910 Notes: 1. LC3-A is the normal pool (NP) with the encasement during the construction phase. The suffix “A” indicates that all contacts are frictional except for the contacts between the arches and buttresses, which are non-frictional. 2. LC3-B is the normal pool (NP) with the encasement during the construction phase. The suffix “B” indicates that all contacts are frictional without any exceptions. Town of Lake Lure Lake Lure Dam Structural Analysis and Design for Reservoir Drain April 22, 2022 Page 29 Schnabel Engineering South, P.C. Project 18C21024.020 ©2022 All Rights Reserved 3. FOS does not satisfy FERC requirements for the construction phase and PMF load cases (LC3 and LC4). The encasement carried a portion of the driving force due to the normal pool and PMF since it was active from the beginning of loading. 4. The FOS for the encasement was calculated considering that about 25% of driving forces for the normal pool and PMF in Bay 5 was carried by the encasement without dowels into the rock foundation or existing starter block. The concrete encasement does not independently satisfy the FERC stability requirements for the construction phase and PMF load cases (LC3 and LC4). The concrete encasement is detached from the dam under the PMF load cases (LC4-A and LC4-B). The driving force was redistributed to the buttresses and the starter block at the end of PMF load cases since the models were numerically stabilized and the encasement resists a small portion of driving forces at the end. 5. Only buttresses and starter block for Bay 5 (not concrete encasement) are considered in the reported Y displacements for LC4-A and LC4-B. 6. Lift lines in Bay 5 were labeled from the low elevation to the high elevation (refer to Figure 4-4). The sliding FOS for the encasement with dowels for the PMF load case equals 1.83 according to the calculation in Appendix D, which is acceptable per FERC requirements. In the calculation, it is assumed that all driving forces applied on the two lowest arch sections in Bay 5 (between lift lines 1 and 3) are transferred to the encasement, and the stress is uniformly distributed in the dowels of the encasement/starter block and encasement/rock interfaces. 4.7 Discussion of Stability Analysis Results Lake Lure Dam with the proposed concrete encasement was modeled using LS-DYNA. The behavior of the dam for different load cases was evaluated based on displacements, compressive and tensile stresses in the concrete and rock, and global stability. Displacements and stress levels in the rock were small compared to concrete since we modeled an interface between the rock and the base of the dam. All models did not satisfy the global stability requirements provided by FERC, as shown in Table 4-8 and Table 4-9. FOS of Bay 5 models with the concrete encasement for the normal pool load cases is slightly more than the models without the encasement (1.43 vs 1.37 and 1.45 vs 1.39). In addition to the entire dam, the concrete encasement without dowels into the existing rock did not satisfy the stability requirements, as shown in Table 4-8 and Table 4-9. However, the loading sequence in the FE models was conservative for the concrete encasement. In reality, the encasement will be installed in the existing Lake Lure dam (Bay 5, downstream) after applying the hydrostatic loads to the existing dam and transferring the loads to the dam components such as the starter block and buttresses. On the other hand, the concrete encasement model was built and active from the beginning of loading in the FE models. Therefore, a portion of the driving force due to the normal pool was resisted by the concrete encasement, which is not anticipated unless the arch cracks, so the calculated driving forces of the encasement may be conservative. The FOS of models with the Mortar Tied contacts between the arches and buttresses (load cases “B”) is slightly more than the FOS of models with all frictional contacts (load cases “A”). There is a stress concentration around the reservoir drain hole in the Bay 5 arch (between lift line 1 to 3) for the normal pool load cases with the encasement (load LC2-A and LC2-B). The maximum principal stress exceeds the allowable stress for LC2-B. Maximum principal stresses for the PMF load cases also exceeded the Town of Lake Lure Lake Lure Dam Structural Analysis and Design for Reservoir Drain April 22, 2022 Page 30 Schnabel Engineering South, P.C. Project 18C21024.020 ©2022 All Rights Reserved allowable stresses during the loading. However, the stresses were released at the end of the model running time (numerical stabilization) in the FE models as the encasement was detached from the arch section (Appendix C). The large stress concentration around the reservoir drain hole in the arch (Bay 5) might result in concrete cracking. The concrete encasement is designed to support the potential cracked arch sections at the bottom of Bay 5. All maximum compressive stresses (minimum principal stresses) are lower than the defined compressive stress limit for all load cases. The shrinkage and temperature reinforcement in the new encasement is designed according to ACI 350-06, in Appendix E. The steel dowels were designed according to a model with tied contacts at the base of the encasement. The required number of dowels was calculated for the increase of forces (shear and tensile) due to PMF with respect to the normal pool forces since the encasement will be built downstream of the existing arch where the normal pool stresses were already transferred. According to the calculations, the sliding FOS of the encasement with the dowels under the PMF load case is equal to 1.83. 4.8 Conclusions The design and results in this report are based on FE models, which have the following limitations:  The subsurface parameters (friction coefficient and cohesion) of the models are based on published values and our experience with similar structures due to the lack of geological data in Bay 5.  The material (concrete and rock) is modeled as intact, and the models do not include specific cracks and discontinuities, except at lift lines. However, the rock deformation modulus of elasticity considers the effect of cracks in the stiffness reduction. Considerations for cracking in the lower arch concrete were considered in the encasement design as indicated in the following bullet.  The encasement model is active from the beginning of the loading and carries a portion of driving shear forces from the normal pool hydrostatic load. The encasement will be installed in the existing dam (Bay 5) while normal pool loads are already applied to dam components such as starter blocks and buttresses. Therefore, the encasement should not take any driving force from the normal pool. However, the encasement has been designed to take the hydrostatic load from the arch lift bearing against the encasement in case these arch lifts crack due to the new reservoir drain penetration or other distress.  The bottom of the encasement is assumed to be at the same elevation as the starter block (assumed at EL 890) in the models. The results might be changed if the bottom elevation of the starter block in Bay 5 (or rock top elevation) is higher or lower than the assumed elevation and the results should be reviewed after overburden within Bay 5 is removed and the rock is cleaned to competent rock as determined by the Engineer. Town of Lake Lure Lake Lure Dam Structural Analysis and Design for Reservoir Drain April 22, 2022 Page 31 Schnabel Engineering South, P.C. Project 18C21024.020 ©2022 All Rights Reserved 5.0 REFERENCES American Concrete Institute (2006). Code Requirements for Environmental Engineering Concrete Structures and Commentary (ACI 350-06). Farmington Hills, MI. American Society of Civil Engineers (2017). Minimum Design Loads and Associated Criteria for Buildings and Other Structures (ASCE 7-16). Reston, VA. Devine Tarbell & Associates, Inc. (2006). Lake Lure Dam Independent Consultant Dam Safety Inspection. Devine Tarbell & Associates, Inc. (2007). Lake Lure Dam Independent Consultant Post Earthquake - Dam Safety Inspection. Ed Holmes and Associates Land Surveyors, P.A. (2019). Existing Conditions Survey. January 9, 2019. Federal Energy Regulatory Commission (2016). Engineering Guidelines for the Evaluation of Hydropower Projects, Chapter 3 – Gravity Dams. Federal Energy Regulatory Commission (1997). Engineering Guidelines for the Evaluation of Hydropower Projects, Chapter X – Other Dams. Federal Energy Regulatory Commission (2018). Engineering Guidelines for the Evaluation of Hydropower Projects, Chapter 11 – Arch Dams. Gere, J. M. (2001). Mechanics of Materials. 5th Ed. ICOLD (2010). Selecting Seismic Parameters for Large Dams. Guidelines, Revision of Bulletin 72, Committee on Seismic Aspects of Dam Design, International Commission on Large Dams, Paris. LaBella (2020). Subaqueous Sanitary Sewer and Wastewater Treatment Plant Technical Memorandum Final. Livermore Software Technology Corporation (2018). LS-DYNA Keyword User’s Manual Volume I. Livermore, CA. Livermore Software Technology Corporation (2018). LS-DYNA Keyword User’s Manual Volume II Material Models. Livermore, CA. Marks Enterprises of NC, PLLC (2017). Phase I Dam Safety Inspection Report, Lake Lure Dam and Appurtenances. Marks Enterprises of NC, PLLC (2018). Phase II Report, 2017 Dam Safety Inspection, Lake Lure Dam and Appurtenances. Marks Enterprises of NC, PLLC, February 2018. Mees and Mees (1925). Design Drawings, August 1925. Town of Lake Lure Lake Lure Dam Structural Analysis and Design for Reservoir Drain April 22, 2022 Page 32 Schnabel Engineering South, P.C. Project 18C21024.020 ©2022 All Rights Reserved North Carolina Administrative Code. (1980). Title 15A, Department of Environment and Natural Resources, Subchapter 2K – Dam Safety. North Carolina Department of Environment and Natural Resources (2014). North Carolina Dam Inventory as of December 2, 2014. Division of Energy, Mineral and Land Resources, Raleigh, NC. Phase I Inspection Report, National Dam Safety Program. U.S. Army Corps of Engineers, Wilmington District, August 1981. PTI-DC35.1-14 (2014). Recommendations for Prestressed Rock and Soil Anchors. Schnabel Engineering South, P.C. (2018). Review of Available Information, Lake Lure Dam (RUTHE- 003). January 25, 2019. Schnabel Engineering South, P.C. (2018). Task 3C Lake Lure Dam Visual Inspection Report. December 7, 2018. Schnabel Engineering South, P.C. (2018). Rock Core Review and Geology Mapping Memorandum, December 6, 2018. Schnabel Engineering South, P.C. (2019). Stability Analysis Report, February 28, 2019. Silva, W.J. et al. (2002). Development of Regional Hard Rock Attenuation Relations for Central and Eastern North America, website www.pacificengineering.org, January 16, 2002. pp. 1-24. U.S. Army Corps of Engineers. (2005). Stability Analysis of Concrete Structures. EM 1110-2-2100. Department of the Army U.S. Army Corps of Engineers, Washington, DC. U.S. Army Corps of Engineers (1994). Arch Dam Design. EM 1110-2-2201. Department of the Army U.S. Army Corps of Engineers, Washington, DC. U.S. Army Corps of Engineers (1981). Phase I Inspection Report, Lake Lure Dam. U.S. Army Corps of Engineers, August 1981. U.S. Bureau of Reclamation. (2013). State-of-Practice for the Nonlinear Analysis of Concrete Dams. U.S. Department of the Interior, Technical Service Center, Denver, CO. April 22, 2022 Schnabel Engineering South, P.C. Project 18C21024.020 ©2022 All Rights Reserved APPENDIX A DRAWING FOR EXISTING BAY 5 DocVerify ID: EBD67602-E69A-4A72-9024-63AA722EF3BA www.docverify.com EB D 6 7 6 0 2 - E 6 9 A - 4 A 7 2 - 9 0 2 4 - 6 3 A A 7 2 2 E F 3 B A - - - 2 0 1 9 / 0 1 / 0 9 0 7 : 5 9 : 0 2 - 8 : 0 0 Page 6 of 17 663AA722EF3BA 6047270957DB Signed on 2019/01/09 08:15:03 PST -'DQLHO+HQU\ January 09, 2019 April 22, 2022 Schnabel Engineering South, P.C. Project 18C21024.020 ©2022 All Rights Reserved APPENDIX B BRIDGE WEIGHT CALCULATION Project Project Number Title Computer Programs Used Version/Release No. Purpose and Objective Summary of Conclusions Originator Print Sign Date Checked Print Sign Date Lake Lure Reservoir Drain System 18C21024.020 Weight Estimation of Bridge on Buttress Mathcad 15 Computing the weight of bridge on the buttresses for Finite Element models. The weight of bridge was calculated according to the Design Drawings by Mees and Mees,1925. Vafa Soltangharaei Jan 21, 2022 Charles M. Johnson Jan 21, 2022 Subject Weight Estimation of Bridge on Buttress Project Lake Lure Dam WO No.5-Reservoir Drain Page 1 of 1 Project No. 18C21024.03 By VS Date 09/07/2021 Client Town of Lake Lure, Rutherford County Checked CMJ Date 09/07/2021 . Calculation Objective Compute the weight of bridge on the buttresses at Bay 5. Assumptions 1-Unit weight of reinforced concrete is assumed to be 150 pcf. References 1. Ed Holmes and Associates Land Surveyors, P.A. (2019). Existing Conditions Survey. January 9, 2019. 2. Mees and Mees (1925). Design Drawings, August 1925. Methodology Weight calculation is based on estimating the volume of concrete. Cross Section Area of Bridge The above figure is taken from Design Drawings (Mees and Mees, 1925) Bridge section area (calculated from the historical drawings)Ab 35.18ft2 Bridge span lengthL41ft Concrete densityγc150pcf Weight of bridge per bayWbγcAbL216.357 kip Mass load for the bridge applied on each buttressMassLoadbridge Wb g 560.382 s lbf s in Lake Lure Bridge Weight Calculation.xmcd April 22, 2022 Schnabel Engineering South, P.C. Project 18C21024.020 ©2022 All Rights Reserved APPENDIX C FINITE ELEMENT ANALYSIS RESULTS Town of Lake Lure Lake Lure Dam Structural Analysis and Design for Reservoir Drain January 21, 2022 Schnabel Engineering South, P.C. Project 18C21024.03 ©2022 All Rights Reserved LIST OF FIGURES Figure 1. Bay 5, LC1-A – Global Y Displacement (in) – Upstream View Figure 2. Bay 5, LC1-A – Maximum (Tensile) Principal Stress (psi) – Upstream View Figure 3. Bay 5, LC1-A – Maximum (Tensile) Principal Stress (psi) – Downstream View Figure 4. Bay 5, LC1-A – Minimum (Compressive) Principal Stress (psi) – Upstream View Figure 5. Bay 5, LC1-A – Minimum (Compressive) Principal Stress (psi) – Downstream View Figure 6. Bay 5, LC1-B – Global Y Displacement (in) – Upstream View Figure 7. Bay 5, LC1-B – Maximum (Tensile) Principal Stress (psi) – Upstream View Figure 8. Bay 5, LC1-B – Maximum (Tensile) Principal Stress (psi) – Downstream View Figure 9. Bay 5, LC1-B – Minimum (Compressive) Principal Stress (psi) – Upstream View Figure 10. Bay 5, LC1-B – Minimum (Compressive) Principal Stress (psi) – Downstream View Figure 11. Bay 5, LC2-A – Global Y Displacement (in) – Upstream View Figure 12. Bay 5, LC2-A – Global Y Displacement (in) – Downstream View Figure 13. Bay 5, LC2-A – Maximum (Tensile) Principal Stress (psi) – Upstream View Figure 14. Bay 5, LC2-A – Maximum (Tensile) Principal Stress (psi) – Downstream View Figure 15. Bay 5, LC2-A – Minimum (Compressive) Principal Stress (psi) – Upstream View Figure 16. Bay 5, LC2-A – Minimum (Compressive) Principal Stress (psi) – Downstream View Figure 17. Bay 5, LC2-B – Global Y Displacement (in) – Upstream View Figure 18. Bay 5, LC2-B – Global Y Displacement (in) – Downstream View Figure 19. Bay 5, LC2-B – Maximum (Tensile) Principal Stress (psi) – Upstream View Figure 20. Bay 5, LC2-B – Maximum (Tensile) Principal Stress (psi) – Downstream View Figure 21. Bay 5, LC2-B – Minimum (Compressive) Principal Stress (psi) – Upstream View Figure 22. Bay 5, LC2-B – Minimum (Compressive) Principal Stress (psi) – Downstream View Figure 23. Bay 5, LC3-A – Global Y Displacement (in) – Upstream View Figure 24. Bay 5, LC3-A – Global Y Displacement (in) – Downstream View Figure 25. Bay 5, LC3-A – Maximum (Tensile) Principal Stress (psi) – Upstream View Figure 26. Bay 5, LC3-A – Maximum (Tensile) Principal Stress (psi) – Downstream View Figure 27. Bay 5, LC3-A – Minimum (Compressive) Principal Stress (psi) – Upstream View Figure 28. Bay 5, LC3-A – Minimum (Compressive) Principal Stress (psi) – Downstream View (Encasement Not Shown) Figure 29. Bay 5, LC3-B – Global Y Displacement (in) – Upstream View Figure 30. Bay 5, LC3-B – Global Y Displacement (in) – Downstream View Figure 31. Bay 5, LC3-B – Maximum (Tensile) Principal Stress (psi) – Upstream View Figure 32. Bay 5, LC3-B – Maximum (Tensile) Principal Stress (psi) – Downstream View Figure 33. Bay 5, LC3-B – Minimum (Compressive) Principal Stress (psi) – Upstream View Figure 34. Bay 5, LC3-B – Minimum (Compressive) Principal Stress (psi) – Downstream View Figure 35. Bay 5, LC4-A – Global Y Displacement (in) – Upstream View (Encasement Not Shown) Figure 36. Bay 5, LC4-A – Global Y Displacement (in) – Downstream View (Encasement Not Shown) Figure 37. Bay 5, LC4-A – Global Y Displacement (in) – Section View (Deformed Shape) Figure 38. Bay 5, LC4-A – Maximum (Tensile) Principal Stress (psi) – Upstream View Figure 39. Bay 5, LC4-A – Maximum (Tensile) Principal Stress (psi) – Downstream View Figure 40. Bay 5, LC4-A – Minimum (Compressive) Principal Stress (psi) – Upstream View Figure 41. Bay 5, LC4-A – Minimum (Compressive) Principal Stress (psi) – Downstream View Figure 42. Bay 5, LC4-B – Global Y Displacement (in) – Upstream View (Encasement Not Shown) Figure 43. Bay 5, LC4-B – Global Y Displacement (in) – Downstream View (Encasement Not Shown) Figure 44. Bay 5, LC4-B – Global Y Displacement (in) – Section View (Deformed Shape) Town of Lake Lure Lake Lure Dam Structural Analysis and Design for Reservoir Drain January 21, 2022 Schnabel Engineering South, P.C. Project 18C21024.03 ©2022 All Rights Reserved Figure 45. Bay 5, LC4-B – Maximum (Tensile) Principal Stress (psi) – Upstream View Figure 46. Bay 5, LC4-B – Maximum (Tensile) Principal Stress (psi) – Downstream View (Encasement Not Shown) Figure 47. Bay 5, LC4-B – Minimum (Compressive) Principal Stress (psi) – Upstream View Figure 48. Bay 5, LC4-B – Minimum (Compressive) Principal Stress (psi) – Downstream View Town of Lake Lure Lake Lure Dam Structural Analysis and Design for Reservoir Drain January 21, 2022 Schnabel Engineering South, P.C. Project 18C21024.03 ©2022 All Rights Reserved Figure 1. Bay 5, LC1-A – Global Y Displacement (in) – Upstream View Figure 2. Bay 5, LC1-A – Maximum (Tensile) Principal Stress (psi) – Upstream View Town of Lake Lure Lake Lure Dam Structural Analysis and Design for Reservoir Drain January 21, 2022 Schnabel Engineering South, P.C. Project 18C21024.03 ©2022 All Rights Reserved Figure 3. Bay 5, LC1-A – Maximum (Tensile) Principal Stress (psi) – Downstream View Figure 4. Bay 5, LC1-A – Minimum (Compressive) Principal Stress (psi) – Upstream View Town of Lake Lure Lake Lure Dam Structural Analysis and Design for Reservoir Drain January 21, 2022 Schnabel Engineering South, P.C. Project 18C21024.03 ©2022 All Rights Reserved Figure 5. Bay 5, LC1-A – Minimum (Compressive) Principal Stress (psi) – Downstream View Figure 6. Bay 5, LC1-B – Global Y Displacement (in) – Upstream View Town of Lake Lure Lake Lure Dam Structural Analysis and Design for Reservoir Drain January 21, 2022 Schnabel Engineering South, P.C. Project 18C21024.03 ©2022 All Rights Reserved Figure 7. Bay 5, LC1-B – Maximum (Tensile) Principal Stress (psi) – Upstream View Figure 8. Bay 5, LC1-B – Maximum (Tensile) Principal Stress (psi) – Downstream View Town of Lake Lure Lake Lure Dam Structural Analysis and Design for Reservoir Drain January 21, 2022 Schnabel Engineering South, P.C. Project 18C21024.03 ©2022 All Rights Reserved Figure 9. Bay 5, LC1-B – Minimum (Compressive) Principal Stress (psi) – Upstream View Figure 10. Bay 5, LC1-B – Minimum (Compressive) Principal Stress (psi) – Downstream View Town of Lake Lure Lake Lure Dam Structural Analysis and Design for Reservoir Drain January 21, 2022 Schnabel Engineering South, P.C. Project 18C21024.03 ©2022 All Rights Reserved Figure 11. Bay 5, LC2-A – Global Y Displacement (in) – Upstream View Figure 12. Bay 5, LC2-A – Global Y Displacement (in) – Downstream View Town of Lake Lure Lake Lure Dam Structural Analysis and Design for Reservoir Drain January 21, 2022 Schnabel Engineering South, P.C. Project 18C21024.03 ©2022 All Rights Reserved Figure 13. Bay 5, LC2-A – Maximum (Tensile) Principal Stress (psi) – Upstream View Figure 14. Bay 5, LC2-A – Maximum (Tensile) Principal Stress (psi) – Downstream View Town of Lake Lure Lake Lure Dam Structural Analysis and Design for Reservoir Drain January 21, 2022 Schnabel Engineering South, P.C. Project 18C21024.03 ©2022 All Rights Reserved Figure 15. Bay 5, LC2-A – Minimum (Compressive) Principal Stress (psi) – Upstream View Figure 16. Bay 5, LC2-A – Minimum (Compressive) Principal Stress (psi) – Downstream View Town of Lake Lure Lake Lure Dam Structural Analysis and Design for Reservoir Drain January 21, 2022 Schnabel Engineering South, P.C. Project 18C21024.03 ©2022 All Rights Reserved Figure 17. Bay 5, LC2-B – Global Y Displacement (in) – Upstream View Figure 18. Bay 5, LC2-B – Global Y Displacement (in) – Downstream View Town of Lake Lure Lake Lure Dam Structural Analysis and Design for Reservoir Drain January 21, 2022 Schnabel Engineering South, P.C. Project 18C21024.03 ©2022 All Rights Reserved Figure 19. Bay 5, LC2-B – Maximum (Tensile) Principal Stress (psi) – Upstream View Figure 20. Bay 5, LC2-B – Maximum (Tensile) Principal Stress (psi) – Downstream View Town of Lake Lure Lake Lure Dam Structural Analysis and Design for Reservoir Drain January 21, 2022 Schnabel Engineering South, P.C. Project 18C21024.03 ©2022 All Rights Reserved Figure 21. Bay 5, LC2-B – Minimum (Compressive) Principal Stress (psi) – Upstream View Figure 22. Bay 5, LC2-B – Minimum (Compressive) Principal Stress (psi) – Downstream View Town of Lake Lure Lake Lure Dam Structural Analysis and Design for Reservoir Drain January 21, 2022 Schnabel Engineering South, P.C. Project 18C21024.03 ©2022 All Rights Reserved Figure 23. Bay 5, LC3-A – Global Y Displacement (in) – Upstream View Figure 24. Bay 5, LC3-A – Global Y Displacement (in) – Downstream View Town of Lake Lure Lake Lure Dam Structural Analysis and Design for Reservoir Drain January 21, 2022 Schnabel Engineering South, P.C. Project 18C21024.03 ©2022 All Rights Reserved Figure 25. Bay 5, LC3-A – Maximum (Tensile) Principal Stress (psi) – Upstream View Figure 26. Bay 5, LC3-A – Maximum (Tensile) Principal Stress (psi) – Downstream View Town of Lake Lure Lake Lure Dam Structural Analysis and Design for Reservoir Drain January 21, 2022 Schnabel Engineering South, P.C. Project 18C21024.03 ©2022 All Rights Reserved Figure 27. Bay 5, LC3-A – Minimum (Compressive) Principal Stress (psi) – Upstream View Figure 28. Bay 5, LC3-A – Minimum (Compressive) Principal Stress (psi) – Downstream View (Encasement Not Shown) Town of Lake Lure Lake Lure Dam Structural Analysis and Design for Reservoir Drain January 21, 2022 Schnabel Engineering South, P.C. Project 18C21024.03 ©2022 All Rights Reserved Figure 29. Bay 5, LC3-B – Global Y Displacement (in) – Upstream View Figure 30. Bay 5, LC3-B – Global Y Displacement (in) – Downstream View Town of Lake Lure Lake Lure Dam Structural Analysis and Design for Reservoir Drain January 21, 2022 Schnabel Engineering South, P.C. Project 18C21024.03 ©2022 All Rights Reserved Figure 31. Bay 5, LC3-B – Maximum (Tensile) Principal Stress (psi) – Upstream View Figure 32. Bay 5, LC3-B – Maximum (Tensile) Principal Stress (psi) – Downstream View Town of Lake Lure Lake Lure Dam Structural Analysis and Design for Reservoir Drain January 21, 2022 Schnabel Engineering South, P.C. Project 18C21024.03 ©2022 All Rights Reserved Figure 33. Bay 5, LC3-B – Minimum (Compressive) Principal Stress (psi) – Upstream View Figure 34. Bay 5, LC3-B – Minimum (Compressive) Principal Stress (psi) – Downstream View Town of Lake Lure Lake Lure Dam Structural Analysis and Design for Reservoir Drain January 21, 2022 Schnabel Engineering South, P.C. Project 18C21024.03 ©2022 All Rights Reserved Figure 35. Bay 5, LC4-A – Global Y Displacement (in) – Upstream View (Encasement Not Shown) Figure 36. Bay 5, LC4-A – Global Y Displacement (in) – Downstream View (Encasement Not Shown) Town of Lake Lure Lake Lure Dam Structural Analysis and Design for Reservoir Drain January 21, 2022 Schnabel Engineering South, P.C. Project 18C21024.03 ©2022 All Rights Reserved Figure 37. Bay 5, LC4-A – Global Y Displacement (in) – Section View (Deformed Shape) Figure 38. Bay 5, LC4-A – Maximum (Tensile) Principal Stress (psi) – Upstream View Town of Lake Lure Lake Lure Dam Structural Analysis and Design for Reservoir Drain January 21, 2022 Schnabel Engineering South, P.C. Project 18C21024.03 ©2022 All Rights Reserved Figure 39. Bay 5, LC4-A – Maximum (Tensile) Principal Stress (psi) – Downstream View Figure 40. Bay 5, LC4-A – Minimum (Compressive) Principal Stress (psi) – Upstream View Town of Lake Lure Lake Lure Dam Structural Analysis and Design for Reservoir Drain January 21, 2022 Schnabel Engineering South, P.C. Project 18C21024.03 ©2022 All Rights Reserved Figure 41. Bay 5, LC4-A – Minimum (Compressive) Principal Stress (psi) – Downstream View Figure 42. Bay 5, LC4-B – Global Y Displacement (in) – Upstream View (Encasement Not Shown) Town of Lake Lure Lake Lure Dam Structural Analysis and Design for Reservoir Drain January 21, 2022 Schnabel Engineering South, P.C. Project 18C21024.03 ©2022 All Rights Reserved Figure 43. Bay 5, LC4-B – Global Y Displacement (in) – Downstream View (Encasement Not Shown) Town of Lake Lure Lake Lure Dam Structural Analysis and Design for Reservoir Drain January 21, 2022 Schnabel Engineering South, P.C. Project 18C21024.03 ©2022 All Rights Reserved Figure 44. Bay 5, LC4-B – Global Y Displacement (in) – Section View (Deformed Shape) Figure 45. Bay 5, LC4-B – Maximum (Tensile) Principal Stress (psi) – Upstream View Town of Lake Lure Lake Lure Dam Structural Analysis and Design for Reservoir Drain January 21, 2022 Schnabel Engineering South, P.C. Project 18C21024.03 ©2022 All Rights Reserved Figure 46. Bay 5, LC4-B – Maximum (Tensile) Principal Stress (psi) – Downstream View (Encasement Not Shown) Figure 47. Bay 5, LC4-B – Minimum (Compressive) Principal Stress (psi) – Upstream View Town of Lake Lure Lake Lure Dam Structural Analysis and Design for Reservoir Drain January 21, 2022 Schnabel Engineering South, P.C. Project 18C21024.03 ©2022 All Rights Reserved Figure 48. Bay 5, LC4-B – Minimum (Compressive) Principal Stress (psi) – Downstream View April 22, 2022 Schnabel Engineering South, P.C. Project 18C21024.020 ©2022 All Rights Reserved APPENDIX D ENCASEMENT DOWEL CALCULATION Project Project Number Title Computer Programs Used Version/Release No. Purpose and Objective Summary of Conclusions Originator Print Sign Date Checked Print Sign Date Lake Lure Reservoir Drain System 18C21024.020 Dowel Design Mathcad 15 Designing the required dowels for the concrete encasement using LS-DYNA results. According to the design, totally 56 #9 are required for the encasement: 38 #9 are between the concrete encasement and rock; 18 #9 between the starter block and concrete encasement. Vafa Soltangharaei Jan 21, 2022 Charles M. Johnson Jan 21, 2022 Subject Designing Required Dowels Project Lake Lure Dam WO No.5-Reservoir Drain Page 1 of 12 Project No. 18C21024.02 By VS Date 11/18/2021 Client Town of Lake Lure, Rutherford County Checked CMJ Date 11/18/2021 . Calculation Objective To design the required dowels for the concrete encasement using LS-DYNA results. Assumptions 1-The assumptions in the FE models govern this calculation. 2-The material properties in the models are according to Marks (2018) and Schnabel (2018 and 2021). 3-The contacts between the lift lines in bay 5 (middle bay in models) are assumed to be frictional (without cohesion) with the friction angle of 45 degree. 4-The contacts between the arch lift lines and arch/buttress are frictional (friction angle of 45 degree). 5-The contact between the arch and concrete encasement is frictional with the friction angle equals to 0.57 degree. 6-The contact between the starter block top surface and the encasement is assumed to be tie contact due to the dowels and surface roughening. 7-The contact between the encasement and rock is assumed to be tie contact due to the cleaned, rough surface. 8-The contact between the starter block and rock was assumed to be cracked for bay 5 based on the LS-DYNA results. Therefore, a constant hydraulic uplift pressure was assumed under the starter block. References 1. Ed Holmes and Associates Land Surveyors, P.A. (2019). Existing Conditions Survey. January 9, 2019. 2. Mees and Mees (1925). Design Drawings, August 1925. 3. Marks Enterprises of NC, PLLC (2018). Phase II Report, 2017 Dam Safety Inspection, Lake Lure Dam and Appurtenances. 4. AISC, 15 edition (2017). American Institute of Steel Construction. Chapter D and G. 5. ACI 350, (2006), Code Requirements for Environmental Engineering Concrete Structures and Commentary. 6. PTI DC35.1-14 (2014), Recommendations for Prestressed Rock and Soil Anchors. 7. Schnabel Engineering South, P.C. (2018). Rock Core Review and Geology Mapping Memorandum, December 6, 2018. Methodology The contacts between the starter block/encasement and encasement/rock were tied in LS-DYNA. Load was applied to the model sequentially. Normal pool hydraulic load was initially applied after gravity load and then PMF load was applied after that. The shear and tensile demands in the interfaces of encasement contacts due to PMF were calculated by subtracting the forces up to the end of normal pool loading from the total demand forces, since the encasement was modeled with the dam from the time 0 of loading (in the reality, the encasement will be constructed after the dam was already under the normal pool hydraulic forces). Hand Calculation For Encasement Dowels - New 1-19-2022.xmcd Subject Designing Required Dowels Project Lake Lure Dam WO No.5-Reservoir Drain Page 2 of 12 Project No. 18C21024.02 By VS Date 11/18/2021 Client Town of Lake Lure, Rutherford County Checked CMJ Date 11/18/2021 . Encasement Model The LS-DYNA model for the concrete encasement is shown in the following: The encasement was built from two blocks as shown in the figure (Block 1 and Block 2). The two blocks were connected by a tie contact to act as a single component. Note the encasement extends were modified slightly on the final design drawings for constructability, extending the full bay width concrete in the downstream direction. Dowel Calculation The shear and normal forces (LS-DYNA) in the contact between the Block 2 and rock are shown in terms of loading time in the following: The above figure shows the shear force in the contact between the Block 2 and rock. The shear force due to PMF is calculated as 572 kips. Considering this value and the load factor of 1.6, the number of dowels is calculated for the shear capacity: Hand Calculation For Encasement Dowels - New 1-19-2022.xmcd Subject Designing Required Dowels Project Lake Lure Dam WO No.5-Reservoir Drain Page 3 of 12 Project No. 18C21024.02 By VS Date 11/18/2021 Client Town of Lake Lure, Rutherford County Checked CMJ Date 11/18/2021 . AISC formulation (section G) for the shear capacity is more conservative than the ACI 350 formulation (Equation 11-15) for calculating the shear capacity of reinforcement in a cracked section. Therefore, AISC formulation is used to calculate the shear capacity and estimate the required number of dowels. ϕ 0.9AISIC strength reduction factor for shear. LS-DYNA resultsFshear_block2 572kip Assumed load factor (ACI 350-06 section 9.2.1, conservatively assume all load is hydrostatic) LF 1.6 Fshear_design LF Fshear_block2915.2 kip Fy 60 ksiUsing rebar grade 60 Nominal area of #9 rebar ANo.9 1in2 Arequired_1 Fshear_design ϕ 0.6Fy28.247 in2Required area using AISC specification, section G4 nrequired_1 Arequired_1 ANo.9 28.24728 #9 required Hand Calculation For Encasement Dowels - New 1-19-2022.xmcd Subject Designing Required Dowels Project Lake Lure Dam WO No.5-Reservoir Drain Page 4 of 12 Project No. 18C21024.02 By VS Date 11/18/2021 Client Town of Lake Lure, Rutherford County Checked CMJ Date 11/18/2021 . The above graph shows that the resultant normal force under the Block2 is not tensile. However, there are some few regions under Block2 with the tensile forces as shown in the following figure, which was taken from the LS-DYNA model. The resultant of tensile forces is negligible and not governing (see following calculation). The temporal variation of resultant force in the tension region is shown in the following (positive is compression and negative in tension in the following graph): Hand Calculation For Encasement Dowels - New 1-19-2022.xmcd Subject Designing Required Dowels Project Lake Lure Dam WO No.5-Reservoir Drain Page 5 of 12 Project No. 18C21024.02 By VS Date 11/18/2021 Client Town of Lake Lure, Rutherford County Checked CMJ Date 11/18/2021 . The resultant force is tensile after the numerical equilibrium (at the end of loading). The tensile load is about 22 kips. Ftensile_end 22 kip Required rebar area for tensile load in the tension region shown above Arequired_2 LF Ftensile_end ϕ Fy0.652 in2 Even 1 #9 is sufficient to resist the tensile force. We will put more than 1 #9 in the tension region according to the required reinforcements for shear nrequired_2 Arequired_2 ANo.9 0.652 The temporal shear force variation between Block1 and the starter block is shown as follows: The shear demand imposed only due to the PMF in the Block1 starter block interface is about 330 kips according to the LS-DYNA results. The force region is selected from the end of normal pool loading to the end of PMF loading. Fshear_block1 330kip Required rebar area at the Block1/Starter Block interface to resist shearArequired_3 LF Fshear_block1 ϕ 0.6Fy16.296 in2 Hand Calculation For Encasement Dowels - New 1-19-2022.xmcd Subject Designing Required Dowels Project Lake Lure Dam WO No.5-Reservoir Drain Page 6 of 12 Project No. 18C21024.02 By VS Date 11/18/2021 Client Town of Lake Lure, Rutherford County Checked CMJ Date 11/18/2021 . nrequired_3 Arequired_3 ANo.9 16.29618 #9 can be used for the Block1-starter block interface The temporal variation of normal force in the contact between the Block1 and rock is shown as follows (positive sign indicates compressive force and negative sign shows tensile force in the following graph): The design tensile force is assumed to be 121 kips according to the LS-DYNA results (although it is conservative). Ftensile_block1 121kip Required rebar area for the tensile stress at Block1/Starter Block interface. Arequired_4 LF Ftensile_block1 ϕ Fy3.585 in2 4 #9 is sufficient for the tensile demand. The shear in the interface between Block1 and starter block is governing. nrequired_4 Arequired_4 ANo.9 3.585 Summary of design: 18 #9 dowels needed to connect the encasement (Block1) to the starter block and 28 #9 are required for the Block2-rock interface. Hand Calculation For Encasement Dowels - New 1-19-2022.xmcd Subject Designing Required Dowels Project Lake Lure Dam WO No.5-Reservoir Drain Page 7 of 12 Project No. 18C21024.02 By VS Date 11/18/2021 Client Town of Lake Lure, Rutherford County Checked CMJ Date 11/18/2021 . Using 38 # 9 between Block2 and rock to have a roughly uniform rebar distribution along the length of encasement (see the following figure): Using 18 # 9 perpendicular to the starter block surface as shown in the following: Hand Calculation For Encasement Dowels - New 1-19-2022.xmcd Subject Designing Required Dowels Project Lake Lure Dam WO No.5-Reservoir Drain Page 8 of 12 Project No. 18C21024.02 By VS Date 11/18/2021 Client Town of Lake Lure, Rutherford County Checked CMJ Date 11/18/2021 . Calculated Sliding FOS after Using Dowels: The driving force for the encasement is calculated as schematically indicated in the following graph (only upstream portion of the encasement shown here): The uplift distribution is constant under the starter block, assuming fully cracked section. The uplift pressure at the upstream edge of block 2 is assumed to be half of the pressure at the downstream edge of starter block due to a drain pipe at the location (suggested to be built to reduce the water uplift pressure). It is assumed that the additional PMF (above normal pool) hydrostatic loads will completely transfer to the concrete encasement. Therefore, the driving force is calculated by considering the additional hydrostatic pressure due to PMF on the two lowest arch sections (see following calculation). HAdd_PMF_Headwater 18.7ftThe additional headwater due to PMF Inclined height of two lowest arch sections, which is equal to the thickness of Block 1 tLift 16.17 ft WBay5 35 ftInternal span length of Bay 5 (i.e. clear width between buttresses at base) Hand Calculation For Encasement Dowels - New 1-19-2022.xmcd Subject Designing Required Dowels Project Lake Lure Dam WO No.5-Reservoir Drain Page 9 of 12 Project No. 18C21024.02 By VS Date 11/18/2021 Client Town of Lake Lure, Rutherford County Checked CMJ Date 11/18/2021 . Water unit weightγw62.4pcf PAdd_PMF γw HAdd_PMF_Headwater1.167 10 3lbf ft2Additional hydrostatic pressure due to PMF FDriving P Add_PMF tLiftWBay5660.396 kipDriving force applied to the encasement due to PMF n_1 18Number of #9 rebar in Block 1 n_2 38Number of #9 rebar in Block 2 nn_1 n_256Total number of #9 in the encasement ANo.9 1in2Area of #9 rebar Ωv 1.67Factor of Safety for shear strength of steel according to ASD-AISC Resisting force of dowels against shear (AISC-ASD), refer to section G of AISC specification As mentioned using AISC formulation is more conservative than using AIC 350 formulation for shear capacity of rebar. FResisting 0.6 FynANo.9 Ωv 1.207 10 3kip Factor of Safety for the encasement with the designed dowelsFOSwith_Dowels FResisting FDriving 1.828 The above FOS is calculated, assuming that the stress due to the driving force in all dowels in Block 1 and Block 2 is uniformly distributed. Assuming only dowels in Block 2 carry the driving stress: Hand Calculation For Encasement Dowels - New 1-19-2022.xmcd Subject Designing Required Dowels Project Lake Lure Dam WO No.5-Reservoir Drain Page 10 of 12 Project No. 18C21024.02 By VS Date 11/18/2021 Client Town of Lake Lure, Rutherford County Checked CMJ Date 11/18/2021 . FResisting1 0.6 Fyn_2ANo.9 Ωv 819.162 kip FOSwith_Dowels_Block2 FResisting1 FDriving 1.24Factor of Safety for the encasement with the designed dowels, assuming Block 2 takes the entire driving shear force Bond Length Calculation Design sufficient bond of dowels to the rock such that failures occur within the rock mass. fc_grout 5000psiDesign compressive strength of grout fcu 250psiUsing Table C 6.1 of PTI DC35.1-14 for the granite and basalt rock Diameter of hole, considering at least 0.5" clear cover for grout according to PTI section 6.9.2dh2.2in FS 2According to section 6.6 of PTI DC35.1-14 γc 143pcfConcrete density according to Marks (2018) and Schnabel (2021) γw 62.4pcfWater unit weight Calculating the anchorage length for the reinforcements between Block 1 and starter block: Ppull_out Ftensile_block1 18 6.722 kipAssume the tension is uniform along the contact surface, the tension force for each rebar is calculated Bond length assuming the failure between the rock and groutLb Ppull_out FS π dhfcu0.648 ft Using 4 feet bonding length for the dowels, the pull-out force (according to the grout-rock failure) can be calculated as follows: Lb 4ft Hand Calculation For Encasement Dowels - New 1-19-2022.xmcd Subject Designing Required Dowels Project Lake Lure Dam WO No.5-Reservoir Drain Page 11 of 12 Project No. 18C21024.02 By VS Date 11/18/2021 Client Town of Lake Lure, Rutherford County Checked CMJ Date 11/18/2021 . Ppull_out_4ft f cu dhπLb FS 41.469 kip The required pull-out force is much more than the maximum estimated tensile force. The dowels in the contact between starter block and encasement will be embedded inside the starter block. The development of #9 is calculated in the following: Using 12.2.2 from ACI 350, the development length of reinforcements is calculated: According to 12.2.4 ACI 350α1 According to 12.2.4 ACI 350 for epoxy coated bars with cover more than 3db and clear spacing more than 6db For the conservative calculation of development length, it is assumed that the dowels are epoxy coated. However, the galvanized rebar is recommended for the dowels. β 1.2 According to 12.2.4 ACI 350. Normal weight concreteλ1 db 1.128inNominal diameter of #9 fc 3000psiExisting concrete compression strength according to the material tests ld1 Fy αβλ 20 fc psi db6.178 ftUsing 74 inches development length into concrete Using equation 12-1 ACI 350: Equals to 1 for No. 7 and larger (ACI 350)γ 1 Hand Calculation For Encasement Dowels - New 1-19-2022.xmcd Subject Designing Required Dowels Project Lake Lure Dam WO No.5-Reservoir Drain Page 12 of 12 Project No. 18C21024.02 By VS Date 11/18/2021 Client Town of Lake Lure, Rutherford County Checked CMJ Date 11/18/2021 . Design simplification according to ACI 350 Ktr 0 Spacing or cover dimension, use the minimum of the distance from the center of bar to the nearest concrete surface or one-half the center to center spacing of bars c 3in Ktr can be zero for the sake of simplification according to ACI 350. The term (c+Ktr/d b) can not be more than 2.5 Z min cKtr db 2.5  2.5 4 ft development length in the starter block and rock. ld2 3 40 Fy fc psi αβγλ Z()  db3.707 ft ACI 350 allows to use equations in sections 12.2.2 or 12.2.3 to calculate development length. The equation 12.2.3 (ld2) results to the lower development length and more economical design. Therefore, it is selected for the dowels. Summary of embedment and development length calculation: 1-The rebar in the rock/encasement interface shall be embedded in rock at least 4 feet. 2-The rebar in the starter block/encasement shall be developed 4 feet in the starter block. The rebar in the starter block/encasement shall not reach to (cross) the concrete to rock interface to avoid potential increase in water leakage. 3-The rebar Shall be extended 4 feet into the encasement to satisfy the required development length. Hand Calculation For Encasement Dowels - New 1-19-2022.xmcd April 22, 2022 Schnabel Engineering South, P.C. Project 18C21024.020 ©2022 All Rights Reserved APPENDIX E SHRINKAGE AND TEMPERATURE REINFORCEMENT CALCULATION Project Project Number Title Computer Programs Used Version/Release No. Purpose and Objective Summary of Conclusions Originator Print Sign Date Checked Print Sign Date Lake Lure Reservoir Drain System 18C21024.020 Shrinkage and Temperature Reinforcement Design Mathcad 15 Designing the required shrinkage and temperature reinforcement for the concrete encasement. According to the design, #6 @ 6 inches (Grade 60), can be used as the shrinkage and temperature reinforcement along the two dimensions of the exposed surfaces. Vafa Soltangharaei Jan 21, 2022 Charles M. Johnson Jan 21, 2022 Subject Shrinkage and Temperature Reinforcement for Concrete Encasement Project Lake Lure Dam WO No.5-Reservoir Drain Page 1 of 2 Project No. 18C21024.03 By VS Date 12/03/2021 Client Town of Lake Lure, Rutherford County Checked CMJ Date 12/03/2021 . Calculation Objective Compute the shrinkage and temperature reinforcement for the concrete encasement. Assumptions 1- The shrinkage and temperature reinforcements are only calculated in the exposed surfaces, assuming negligible shrinkage and temperature stresses in the unexposed surfaces of the encasement. 2- It is assumed that no movement joints are provided in the concrete encasement. References 1- ACI 350-06, Code Requirements for Environmental Engineering Concrete Structures and Commentary. Methodology The shrinkage and temperature reinforcements are calculated for each exposed surface of the encasement in both directions according to section 7.12 of ACI 350-06. Shrinkage and Temperature Reinforcement Calculation In the following graph, the exposed surfaces in the encasement are labeled and shown (A 1 to A 5). The areas A 3F and A 4F are front surfaces. The areas A 3B and A 4B are back surfaces (not shown in the graph), which are identical to the front surfaces.Note the encasement extends were modified slightly on the final design drawings for constructability, extending the full bay width concrete in the downstream direction. According to section 7.12.2.1 ACI 350-06, the minimum shrinkage and temperature is calculated based on 12 in for the sections that are at least 24 in. The maximum shrinkage and temperature reinforcement are used (see the following Table) for Grade 60, assuming no movement joints are provided in the encasement. Lake Lure Encasement Shrinkage Reinforcements-1-19-2022.xmcd Subject Shrinkage and Temperature Reinforcement for Concrete Encasement Project Lake Lure Dam WO No.5-Reservoir Drain Page 2 of 2 Project No. 18C21024.03 By VS Date 12/03/2021 Client Town of Lake Lure, Rutherford County Checked CMJ Date 12/03/2021 . The above table is taken from ACI 350-06, section 7.12.2.1. ρ 0.005Maximum shrinkage and temperature reinforcement for the length between movement joints more than 40 ft For a foot length in each direction of surfaces, maximum 0.72 in 2 is required.As ρ 12in 12in 0.72 in2 Using #6 @ 6 inches will provide approximately 0.88 in 2 reinforcement per foot (providing reinforcement ratio of 0.0061). Lake Lure Encasement Shrinkage Reinforcements-1-19-2022.xmcd Project Project Number Title Computer Programs Used Version/Release No. Purpose and Objective Summary of Conclusions Originator Print Sign Date Checked Print Sign Date Lake Lure Dam Rehabilitation 18C21024.020 Design of New Bulkhead Gate STAAD Pro MathCAD V22 Update 7 Prime 7.0 Design a bulkhead gate to prevent flow through the drain pipe during pipe maintenance and provide support of the bulkhead gate in its normally open position while the drain pipe is operational. See files attached. The bulkhead gate is acceptable for the loading conditions considered. Nathan Smith, PE Mar 31, 2022 Charles Johnson, PE Mar 31, 2022 Appendix C.2 Calculation Objective The purpose of the following calculation is to evaluate the structural capacity of a new bulkhead gate over the new low level drain pipe at Lake Lure Dam in North Carolina. The bulkhead gate is being installed to facilitate installation of the new drain pipe and for use should future repairs to the downstream components of the drain pipe be required. Upon completion of the new low level drain pipe, the bulkhead gate will be secured in a normally open position with other gates down stream and part of the drain pipe regulating the flow of water discharged through the pipe. The gate has an expected service life of approximately 10 years, until anticipated replacement of the existing dam. Design Basis The following documents are the design basis for this calculation: Steel Analysis: AISC 14th Ed. Steel Construction Manual Design of Hydraulic Steel Structures, USACE ETL1110-2-584 Lock Gates and Operating Equipment, USACE EM 1120-2-2703 Assumptions 1.Change in pressure due to gate bearing on a slope arch is ignored. Design in based on a uniform hydrostatic pressure. References 1. 2. 3. American Institute of Steel Construction. (2011). Steel Construction Manual, 14th Ed. U.S. Army Corps of Engineers. (2014). ETL 1110-2-584, Design of Hydraulic Steel Structures U.S. Army Corps of Engineers. (1994). EM 1110-2-2703, Lock Gates and Operating Equipment Methodology This calculation is a finite element design of the bulkhead gate including the cover plate, the wide flange reinforcing ribs, and the support hatch bars. These calculations were performed using STAAD Pro v.22 and MathCAD Prime 7.0. The cover plate and reinforcing ribs are designed as composite members distributing the water pressure to a bearing area with a maximum 8 foot diameter to center of bearing. Hydrostatic pressure in this calculation is based on a maximum head of 108.7 feet during the PMF (Probable Maximum Flood) event. The design hydrostatic load is applied uniformly over the entirety of the cover plate. Both the cover plate and wide flange ribs are analyzed as having a yield strength, Fy = 50 ksi. The support hatch bars are analyzed acting only to lift the hatch in a balanced pressure condition. The loading is supporting the full dead load of the bulkhead gate (cover plate and wide flange ribs) at 4 points of rotation: when the gate is initially opened from the closed position, when the gate is open approximately 45° and in a horizontal position, when open to an angle from closed of approximately 70°, representing the tangential point of the gate rotation when the lifting rod is at a maximum angle from vertical, and in the fully open position, the gate being open approximately 10° past perpendicular and the lifting rod is vertical. The hinge bars are analyzed as having a yield strength, Fy = 50 ksi Prepared By: NS Reviewed By: CJ Approved By: CJ Project: Lake Lure Dam Drain Pipe Project #: 18C21024.00 Printed:03/31/2022 Bulkhead Design.mcdx Page 1 of 2 Analysis Results Summary The wide flange beam ribs on the cover plate have a maximum utilization ratio of 0.6 considering induced axial loading and eccentric bending in the beam due to composite action with the steel cover plate. a maximum allowable utilization ratio of 0.9 is permitted per ETL 1110-2-584 therefore the beam as designed to resist the PMF loads is acceptable. Per EM 1110-2-2703, the maximum allowable Von Mises stress in the cover plate is 0.75*Fy. For Grade 50 steel, this allowable stress is 37.5 ksi. Overall, the stresses are well below this allowable stress. The model indicates an increased stress, approximately 12% above allowable, at the ends of the reinforcing beams. However, at these points, the model does not consider the width or continuity of the bearing surface which effectively relieves the transverse stresses. For this reason, the localized overstress in this area is acceptable. The hinge bars have a maximum utilization ratio of 0.3 considering in plane bending and axial loads. The maximum loading condition occurred in the bulkhead open position 2. The utilization ratio is well below the maximum allowable utilization ratio of 0.9 and the hinge bars as designed are acceptable Calculate pressure on bulkhead in unbalanced condition: ≔γw ⋅62.4 pcf Density of water ≔h ⋅108.7 ft Maximum water head during PMF event ≔pa =⋅γw h 47 psi Maximum unfactored hydrostatic pressure uniformly applied to the bulkhead cover plate. ≔pu =⋅1.4 pa 66 psi Maximum factored hydrostatic pressure uniformly applied to the bulkhead cover plate. Prepared By: NS Reviewed By: CJ Approved By: CJ Project: Lake Lure Dam Drain Pipe Project #: 18C21024.00 Printed:03/31/2022 Bulkhead Design.mcdx Page 2 of 2 Software licensed to Schnabel Engineering, Inc CONNECTED User: Nathan Smith Job Title Client Job No Sheet No Rev Part Ref By Date Chd File Date/Time 18C21024.000 1 Lake Lure Dam Bulkhead Design City of Lake Lure NS 3/29/2022 CJ 29-Mar-2022 13:14LL_Bulkhead_Design.STD Print Time/Date: 29/03/2022 15:16 Print Run 1 of 25STAAD.Pro CONNECT Edition 22.07.00.160 Job Information Engineer Checked Approved Name:NS CJ CJ Date:3/29/2022 Project ID Project Name Structure Type SPACE FRAME Number of Nodes 489 Highest Node 741 Number of Elements 104 Highest Beam 1667 Number of Plates 468 Highest Plate 1542 Number of Basic Load Cases 2 Number of Combination Load Cases 0 Included in this printout are data for: All The Whole Structure Included in this printout are results for load cases: Type L/C Name Primary 1 LC1 - HYDRAULIC Primary 2 LC2 - 1.4HL Section Properties Prop Section Area (in2) Iyy (in4) Izz (in4) J (in4) Material 2 W10X33 9.710 171.000 36.600 0.583 STEEL Plate Thickness Prop Node A (in) Node B (in) Node C (in) Node D (in) Material 1 1.000 1.000 1.000 1.000 STEEL Primary Load Cases Number Name Type 1 LC1 - HYDRAULIC None 2 LC2 - 1.4HL None Software licensed to Schnabel Engineering, Inc CONNECTED User: Nathan Smith Job Title Client Job No Sheet No Rev Part Ref By Date Chd File Date/Time 18C21024.000 2 Lake Lure Dam Bulkhead Design City of Lake Lure NS 3/29/2022 CJ 29-Mar-2022 13:14LL_Bulkhead_Design.STD Print Time/Date: 29/03/2022 15:16 Print Run 2 of 25STAAD.Pro CONNECT Edition 22.07.00.160 3D View of Cover Plate and Reinforcing Beams 0.2430.393 0.2640.4550.42 0.2630.40.521 0.340.445 0.214 0.241 0.3120.38 0.2290.4210.3240.455 0.239 0.393 0.4570.4420.4 0.254 0.486 0.487 0.34 0.2590.5090.5220.312 0.2590.243 0.5230.5510.421 0.2540.264 0.5270.5710.457 0.2390.5270.5830.487 0.2280.241 0.5220.5880.509 0.2140.215 0.5090.5880.523 0.241 0.263 0.229 0.4870.5830.527 0.2630.239 0.4560.5710.527 0.2690.4210.5510.5220.259 0.313 0.224 0.5230.5090.259 0.340.4870.487 0.254 0.254 0.4010.4430.4560.239 0.4570.3240.4210.228 0.3930.380.3130.214 0.4460.340.241 0.5240.4010.263 0.4230.4570.269 0.3930.224 Bending ZLoad 2 : XYZ Utilization Ratios of Reinforcing Beams (LC 2) Software licensed to Schnabel Engineering, Inc CONNECTED User: Nathan Smith Job Title Client Job No Sheet No Rev Part Ref By Date Chd File Date/Time 18C21024.000 3 Lake Lure Dam Bulkhead Design City of Lake Lure NS 3/29/2022 CJ 29-Mar-2022 13:14LL_Bulkhead_Design.STD Print Time/Date: 29/03/2022 15:16 Print Run 3 of 25STAAD.Pro CONNECT Edition 22.07.00.160 Beam Maximum Moments Distances to maxima are given from beam end A. Beam Node A Length (in) L/C d (in) Max My (kip-ft) d (in) Max Mz (kip-ft) 1544 308 5.255 1:LC1 - HYDRAULICMax +ve 5.255 6.965 0 0.229 Max -ve 0 -3.436 5.255 -0.634 2:LC2 - 1.4HL Max +ve 5.255 9.751 0 0.321 Max -ve 0 -4.811 5.255 -0.888 1545 304 4.000 1:LC1 - HYDRAULICMax +ve 4.000 3.898 0 0.386 Max -ve 0 -1.008 4.000 -0.785 2:LC2 - 1.4HL Max +ve 4.000 5.457 0 0.540 Max -ve 0 -1.411 4.000 -1.099 1546 355 5.255 1:LC1 - HYDRAULICMax +ve 5.255 6.965 5.255 0.634 Max -ve 0 -3.436 0 -0.229 2:LC2 - 1.4HL Max +ve 5.255 9.751 5.255 0.888 Max -ve 0 -4.811 0 -0.321 1547 351 4.000 1:LC1 - HYDRAULICMax +ve 4.000 3.898 4.000 0.785 Max -ve 0 -1.008 0 -0.386 2:LC2 - 1.4HL Max +ve 4.000 5.457 4.000 1.099 Max -ve 0 -1.411 0 -0.540 1548 1 4.000 1:LC1 - HYDRAULICMax +ve 0 32.634 4.000 0.000 Max -ve 2:LC2 - 1.4HL Max +ve 0 45.687 4.000 0.000 Max -ve 1549 206 4.000 1:LC1 - HYDRAULICMax +ve 0 31.269 4.000 0.000 Max -ve 2:LC2 - 1.4HL Max +ve 0 43.776 4.000 0.000 Max -ve 1550 208 4.000 1:LC1 - HYDRAULICMax +ve 0 28.149 0 0.000 Max -ve 2:LC2 - 1.4HL Max +ve 0 39.409 0 0.000 Max -ve 1552 212 4.000 1:LC1 - HYDRAULICMax +ve 0 16.556 0 0.000 Max -ve 2:LC2 - 1.4HL Max +ve 0 23.178 0 0.000 Max -ve 1554 233 4.000 1:LC1 - HYDRAULICMax +ve 0 12.211 0 0.000 Max -ve 2:LC2 - 1.4HL Max +ve 0 17.096 0 0.000 Max -ve 1556 236 4.000 1:LC1 - HYDRAULICMax +ve 0 25.923 0 0.000 Max -ve 2:LC2 - 1.4HL Max +ve 0 36.293 0 0.000 Max -ve 1557 237 4.000 1:LC1 - HYDRAULICMax +ve 0 29.931 0 0.000 Max -ve 2:LC2 - 1.4HL Max +ve 0 41.903 0 0.000 Max -ve 1559 241 4.000 1:LC1 - HYDRAULICMax +ve 0 17.953 0 0.271 Max -ve 2:LC2 - 1.4HL Max +ve 0 25.134 0 0.379 Max -ve Software licensed to Schnabel Engineering, Inc CONNECTED User: Nathan Smith Job Title Client Job No Sheet No Rev Part Ref By Date Chd File Date/Time 18C21024.000 4 Lake Lure Dam Bulkhead Design City of Lake Lure NS 3/29/2022 CJ 29-Mar-2022 13:14LL_Bulkhead_Design.STD Print Time/Date: 29/03/2022 15:16 Print Run 4 of 25STAAD.Pro CONNECT Edition 22.07.00.160 Beam Maximum Moments Cont... Beam Node A Length (in) L/C d (in) Max My (kip-ft) d (in) Max Mz (kip-ft) 1560 243 4.000 1:LC1 - HYDRAULICMax +ve 0 29.178 Max -ve 0 -0.232 2:LC2 - 1.4HL Max +ve 0 40.849 Max -ve 0 -0.325 1561 250 4.000 1:LC1 - HYDRAULICMax +ve 0 4.928 0 0.000 Max -ve 4.000 -3.603 4.000 -0.000 2:LC2 - 1.4HL Max +ve 0 6.899 0 0.000 Max -ve 4.000 -5.045 4.000 -0.000 1562 238 4.000 1:LC1 - HYDRAULICMax +ve 0 32.619 4.000 0.000 Max -ve 2:LC2 - 1.4HL Max +ve 0 45.667 4.000 0.000 Max -ve 1563 210 4.000 1:LC1 - HYDRAULICMax +ve 0 23.267 0 0.000 Max -ve 2:LC2 - 1.4HL Max +ve 0 32.574 0 0.000 Max -ve 1564 235 4.000 1:LC1 - HYDRAULICMax +ve 0 20.180 0 0.000 Max -ve 2:LC2 - 1.4HL Max +ve 0 28.252 0 0.000 Max -ve 1565 214 4.000 1:LC1 - HYDRAULICMax +ve 0 32.164 4.000 0.000 Max -ve 2:LC2 - 1.4HL Max +ve 0 45.030 4.000 0.000 Max -ve 1566 281 4.000 1:LC1 - HYDRAULICMax +ve 0 29.178 0 0.232 Max -ve 2:LC2 - 1.4HL Max +ve 0 40.849 0 0.325 Max -ve 1567 286 4.000 1:LC1 - HYDRAULICMax +ve 0 17.953 Max -ve 0 -0.271 2:LC2 - 1.4HL Max +ve 0 25.134 Max -ve 0 -0.379 1582 310 4.000 1:LC1 - HYDRAULICMax +ve 4.000 32.640 4.000 0.000 Max -ve 2:LC2 - 1.4HL Max +ve 4.000 45.696 4.000 0.000 Max -ve 1583 312 4.000 1:LC1 - HYDRAULICMax +ve 4.000 32.145 4.000 0.000 Max -ve 2:LC2 - 1.4HL Max +ve 4.000 45.004 4.000 0.000 Max -ve 1584 313 4.000 1:LC1 - HYDRAULICMax +ve 4.000 31.237 4.000 0.000 Max -ve 2:LC2 - 1.4HL Max +ve 4.000 43.732 4.000 0.000 Max -ve 1585 314 4.000 1:LC1 - HYDRAULICMax +ve 4.000 29.887 4.000 0.000 Max -ve 0 -0.000 2:LC2 - 1.4HL Max +ve 4.000 41.842 4.000 0.000 Max -ve 0 -0.000 1586 315 4.000 1:LC1 - HYDRAULICMax +ve 4.000 28.092 4.000 0.000 Software licensed to Schnabel Engineering, Inc CONNECTED User: Nathan Smith Job Title Client Job No Sheet No Rev Part Ref By Date Chd File Date/Time 18C21024.000 5 Lake Lure Dam Bulkhead Design City of Lake Lure NS 3/29/2022 CJ 29-Mar-2022 13:14LL_Bulkhead_Design.STD Print Time/Date: 29/03/2022 15:16 Print Run 5 of 25STAAD.Pro CONNECT Edition 22.07.00.160 Beam Maximum Moments Cont... Beam Node A Length (in) L/C d (in) Max My (kip-ft) d (in) Max Mz (kip-ft) Max -ve 0 -0.000 2:LC2 - 1.4HL Max +ve 4.000 39.329 4.000 0.000 Max -ve 0 -0.000 1587 316 4.000 1:LC1 - HYDRAULICMax +ve 4.000 25.854 Max -ve 0 -0.000 2:LC2 - 1.4HL Max +ve 4.000 36.196 Max -ve 0 -0.000 1588 317 4.000 1:LC1 - HYDRAULICMax +ve 4.000 23.186 Max -ve 0 -0.000 2:LC2 - 1.4HL Max +ve 4.000 32.460 Max -ve 0 -0.000 1589 318 4.000 1:LC1 - HYDRAULICMax +ve 4.000 20.088 Max -ve 0 -0.000 2:LC2 - 1.4HL Max +ve 4.000 28.124 Max -ve 0 -0.000 1590 319 4.000 1:LC1 - HYDRAULICMax +ve 4.000 16.460 Max -ve 0 -0.000 2:LC2 - 1.4HL Max +ve 4.000 23.043 Max -ve 0 -0.000 1591 322 4.000 1:LC1 - HYDRAULICMax +ve 4.000 32.613 4.000 0.000 Max -ve 2:LC2 - 1.4HL Max +ve 4.000 45.658 4.000 0.000 Max -ve 1594 338 4.000 1:LC1 - HYDRAULICMax +ve 4.000 4.888 Max -ve 0 -3.577 0 -0.000 2:LC2 - 1.4HL Max +ve 4.000 6.844 Max -ve 0 -5.007 0 -0.000 1595 343 4.000 1:LC1 - HYDRAULICMax +ve 4.000 12.124 Max -ve 0 -0.000 2:LC2 - 1.4HL Max +ve 4.000 16.974 Max -ve 0 -0.000 1596 393 4.000 1:LC1 - HYDRAULICMax +ve 0 27.730 4.000 0.010 Max -ve 0 -0.083 2:LC2 - 1.4HL Max +ve 0 38.822 4.000 0.015 Max -ve 0 -0.117 1597 397 4.000 1:LC1 - HYDRAULICMax +ve 0 16.247 Max -ve 4.000 -0.720 2:LC2 - 1.4HL Max +ve 0 22.746 Max -ve 4.000 -1.008 1598 403 4.000 1:LC1 - HYDRAULICMax +ve 0 24.555 4.000 0.103 Max -ve 2:LC2 - 1.4HL Max +ve 0 34.377 4.000 0.144 Max -ve 1599 407 4.000 1:LC1 - HYDRAULICMax +ve 0 12.500 Max -ve 4.000 -1.401 2:LC2 - 1.4HL Max +ve 0 17.500 Max -ve 4.000 -1.961 1600 412 4.000 1:LC1 - HYDRAULICMax +ve 0 19.665 0 0.050 Max -ve 4.000 -0.219 Software licensed to Schnabel Engineering, Inc CONNECTED User: Nathan Smith Job Title Client Job No Sheet No Rev Part Ref By Date Chd File Date/Time 18C21024.000 6 Lake Lure Dam Bulkhead Design City of Lake Lure NS 3/29/2022 CJ 29-Mar-2022 13:14LL_Bulkhead_Design.STD Print Time/Date: 29/03/2022 15:16 Print Run 6 of 25STAAD.Pro CONNECT Edition 22.07.00.160 Beam Maximum Moments Cont... Beam Node A Length (in) L/C d (in) Max My (kip-ft) d (in) Max Mz (kip-ft) 2:LC2 - 1.4HL Max +ve 0 27.531 0 0.070 Max -ve 4.000 -0.307 1601 416 4.000 1:LC1 - HYDRAULICMax +ve 0 6.716 Max -ve 0 -1.479 2:LC2 - 1.4HL Max +ve 0 9.403 Max -ve 0 -2.071 1602 420 4.000 1:LC1 - HYDRAULICMax +ve 0 12.371 Max -ve 4.000 -0.727 2:LC2 - 1.4HL Max +ve 0 17.319 Max -ve 4.000 -1.018 1603 426 4.000 1:LC1 - HYDRAULICMax +ve 0 28.663 Max -ve 0 -0.162 2:LC2 - 1.4HL Max +ve 0 40.128 Max -ve 0 -0.227 1604 430 4.000 1:LC1 - HYDRAULICMax +ve 0 17.348 0 0.016258 Max -ve 4.000 -0.330 2:LC2 - 1.4HL Max +ve 0 24.287 0 0.023 Max -ve 4.000 -0.461 1605 456 5.255 1:LC1 - HYDRAULICMax +ve 0 6.898 5.255 0.223 Max -ve 5.255 -3.521 0 -0.602 2:LC2 - 1.4HL Max +ve 0 9.657 5.255 0.312 Max -ve 5.255 -4.929 0 -0.843 1606 458 4.000 1:LC1 - HYDRAULICMax +ve 0 3.624 4.000 0.392 Max -ve 4.000 -0.897 0 -0.808 2:LC2 - 1.4HL Max +ve 0 5.074 4.000 0.549 Max -ve 4.000 -1.256 0 -1.132 1607 460 4.000 1:LC1 - HYDRAULICMax +ve 0 16.417 Max -ve 4.000 -0.555 2:LC2 - 1.4HL Max +ve 0 22.984 Max -ve 4.000 -0.777 1608 462 4.000 1:LC1 - HYDRAULICMax +ve 0 9.921 Max -ve 0 -1.445 2:LC2 - 1.4HL Max +ve 0 13.890 Max -ve 0 -2.023 1609 464 4.000 1:LC1 - HYDRAULICMax +ve 0 22.336 0 0.129 Max -ve 2:LC2 - 1.4HL Max +ve 0 31.271 0 0.181 Max -ve 1610 467 4.000 1:LC1 - HYDRAULICMax +ve 0 14.614 Max -ve 4.000 -1.116 2:LC2 - 1.4HL Max +ve 0 20.460 Max -ve 4.000 -1.563 1611 469 4.000 1:LC1 - HYDRAULICMax +ve 0 26.355 4.000 0.082 Max -ve 2:LC2 - 1.4HL Max +ve 0 36.897 4.000 0.115 Max -ve 1612 473 4.000 1:LC1 - HYDRAULICMax +ve 0 17.918 0 0.210 Max -ve 4.000 -0.013 2:LC2 - 1.4HL Max +ve 0 25.085 0 0.295 Software licensed to Schnabel Engineering, Inc CONNECTED User: Nathan Smith Job Title Client Job No Sheet No Rev Part Ref By Date Chd File Date/Time 18C21024.000 7 Lake Lure Dam Bulkhead Design City of Lake Lure NS 3/29/2022 CJ 29-Mar-2022 13:14LL_Bulkhead_Design.STD Print Time/Date: 29/03/2022 15:16 Print Run 7 of 25STAAD.Pro CONNECT Edition 22.07.00.160 Beam Maximum Moments Cont... Beam Node A Length (in) L/C d (in) Max My (kip-ft) d (in) Max Mz (kip-ft) Max -ve 4.000 -0.018 1613 475 4.000 1:LC1 - HYDRAULICMax +ve 0 29.147 Max -ve 0 -0.214 2:LC2 - 1.4HL Max +ve 0 40.805 Max -ve 0 -0.299 1614 481 4.000 1:LC1 - HYDRAULICMax +ve 0 17.918 4.000 0.012719 Max -ve 0 -0.210 2:LC2 - 1.4HL Max +ve 0 25.085 4.000 0.018 Max -ve 0 -0.295 1615 485 4.000 1:LC1 - HYDRAULICMax +ve 0 29.146 0 0.214 Max -ve 2:LC2 - 1.4HL Max +ve 0 40.805 0 0.299 Max -ve 1616 492 4.000 1:LC1 - HYDRAULICMax +ve 0 27.730 0 0.083 Max -ve 4.000 -0.010 2:LC2 - 1.4HL Max +ve 0 38.821 0 0.117 Max -ve 4.000 -0.01462 1617 496 4.000 1:LC1 - HYDRAULICMax +ve 0 16.247 4.000 0.720 Max -ve 2:LC2 - 1.4HL Max +ve 0 22.746 4.000 1.007 Max -ve 1618 501 4.000 1:LC1 - HYDRAULICMax +ve 0 14.615 4.000 1.116 Max -ve 2:LC2 - 1.4HL Max +ve 0 20.460 4.000 1.562 Max -ve 1619 505 4.000 1:LC1 - HYDRAULICMax +ve 0 26.355 Max -ve 4.000 -0.082 2:LC2 - 1.4HL Max +ve 0 36.897 Max -ve 4.000 -0.115 1620 512 4.000 1:LC1 - HYDRAULICMax +ve 0 24.555 Max -ve 4.000 -0.103 2:LC2 - 1.4HL Max +ve 0 34.377 Max -ve 4.000 -0.144 1621 516 4.000 1:LC1 - HYDRAULICMax +ve 0 12.501 4.000 1.400 Max -ve 2:LC2 - 1.4HL Max +ve 0 17.501 4.000 1.960 Max -ve 1622 519 4.000 1:LC1 - HYDRAULICMax +ve 0 9.922 0 1.445 Max -ve 2:LC2 - 1.4HL Max +ve 0 13.891 0 2.023 Max -ve 1623 523 4.000 1:LC1 - HYDRAULICMax +ve 0 22.336 Max -ve 0 -0.129 2:LC2 - 1.4HL Max +ve 0 31.271 Max -ve 0 -0.180 1624 530 4.000 1:LC1 - HYDRAULICMax +ve 0 19.665 4.000 0.219 Max -ve 0 -0.050 2:LC2 - 1.4HL Max +ve 0 27.531 4.000 0.307 Max -ve 0 -0.070 Software licensed to Schnabel Engineering, Inc CONNECTED User: Nathan Smith Job Title Client Job No Sheet No Rev Part Ref By Date Chd File Date/Time 18C21024.000 8 Lake Lure Dam Bulkhead Design City of Lake Lure NS 3/29/2022 CJ 29-Mar-2022 13:14LL_Bulkhead_Design.STD Print Time/Date: 29/03/2022 15:16 Print Run 8 of 25STAAD.Pro CONNECT Edition 22.07.00.160 Beam Maximum Moments Cont... Beam Node A Length (in) L/C d (in) Max My (kip-ft) d (in) Max Mz (kip-ft) 1625 534 4.000 1:LC1 - HYDRAULICMax +ve 0 6.716 0 1.479 Max -ve 2:LC2 - 1.4HL Max +ve 0 9.403 0 2.070 Max -ve 1626 535 4.000 1:LC1 - HYDRAULICMax +ve 0 3.624 0 0.808 Max -ve 4.000 -0.897 4.000 -0.392 2:LC2 - 1.4HL Max +ve 0 5.074 0 1.132 Max -ve 4.000 -1.256 4.000 -0.549 1627 539 4.000 1:LC1 - HYDRAULICMax +ve 0 16.417 4.000 0.555 Max -ve 2:LC2 - 1.4HL Max +ve 0 22.984 4.000 0.777 Max -ve 1628 546 4.000 1:LC1 - HYDRAULICMax +ve 0 12.371 4.000 0.727 Max -ve 2:LC2 - 1.4HL Max +ve 0 17.319 4.000 1.018 Max -ve 1629 549 5.255 1:LC1 - HYDRAULICMax +ve 0 6.898 0 0.602 Max -ve 5.255 -3.521 5.255 -0.223 2:LC2 - 1.4HL Max +ve 0 9.657 0 0.843 Max -ve 5.255 -4.929 5.255 -0.312 1630 556 4.000 1:LC1 - HYDRAULICMax +ve 0 28.663 0 0.162 Max -ve 2:LC2 - 1.4HL Max +ve 0 40.128 0 0.227 Max -ve 1631 560 4.000 1:LC1 - HYDRAULICMax +ve 0 17.348 4.000 0.329 Max -ve 0 -0.016 2:LC2 - 1.4HL Max +ve 0 24.287 4.000 0.461 Max -ve 0 -0.023 1632 569 4.000 1:LC1 - HYDRAULICMax +ve 4.000 17.950 4.000 0.270 Max -ve 2:LC2 - 1.4HL Max +ve 4.000 25.129 4.000 0.378 Max -ve 1633 573 4.000 1:LC1 - HYDRAULICMax +ve 4.000 29.176 Max -ve 4.000 -0.231 2:LC2 - 1.4HL Max +ve 4.000 40.846 Max -ve 4.000 -0.323 1634 580 4.000 1:LC1 - HYDRAULICMax +ve 4.000 28.666 Max -ve 4.000 -0.177 2:LC2 - 1.4HL Max +ve 4.000 40.132 Max -ve 4.000 -0.247 1635 584 4.000 1:LC1 - HYDRAULICMax +ve 4.000 17.359 4.000 0.015 Max -ve 0 -0.330 2:LC2 - 1.4HL Max +ve 4.000 24.303 4.000 0.021048 Max -ve 0 -0.461 1636 589 4.000 1:LC1 - HYDRAULICMax +ve 4.000 16.266 Max -ve 0 -0.719 2:LC2 - 1.4HL Max +ve 4.000 22.773 Max -ve 0 -1.007 1637 593 4.000 1:LC1 - HYDRAULICMax +ve 4.000 27.735 Software licensed to Schnabel Engineering, Inc CONNECTED User: Nathan Smith Job Title Client Job No Sheet No Rev Part Ref By Date Chd File Date/Time 18C21024.000 9 Lake Lure Dam Bulkhead Design City of Lake Lure NS 3/29/2022 CJ 29-Mar-2022 13:14LL_Bulkhead_Design.STD Print Time/Date: 29/03/2022 15:16 Print Run 9 of 25STAAD.Pro CONNECT Edition 22.07.00.160 Beam Maximum Moments Cont... Beam Node A Length (in) L/C d (in) Max My (kip-ft) d (in) Max Mz (kip-ft) Max -ve 4.000 -0.106 2:LC2 - 1.4HL Max +ve 4.000 38.829 Max -ve 4.000 -0.148 1638 600 4.000 1:LC1 - HYDRAULICMax +ve 4.000 26.362 0 0.045 Max -ve 4.000 -0.020 2:LC2 - 1.4HL Max +ve 4.000 36.907 0 0.062 Max -ve 4.000 -0.028 1639 604 4.000 1:LC1 - HYDRAULICMax +ve 4.000 14.642 Max -ve 0 -1.114 2:LC2 - 1.4HL Max +ve 4.000 20.499 Max -ve 0 -1.560 1640 607 4.000 1:LC1 - HYDRAULICMax +ve 4.000 12.538 Max -ve 0 -1.397 2:LC2 - 1.4HL Max +ve 4.000 17.553 Max -ve 0 -1.955 1641 611 4.000 1:LC1 - HYDRAULICMax +ve 4.000 24.564 0 0.060 Max -ve 2:LC2 - 1.4HL Max +ve 4.000 34.389 0 0.084 Max -ve 1642 618 4.000 1:LC1 - HYDRAULICMax +ve 4.000 22.346 4.000 0.085 Max -ve 0 -0.028 2:LC2 - 1.4HL Max +ve 4.000 31.285 4.000 0.118 Max -ve 0 -0.039 1643 622 4.000 1:LC1 - HYDRAULICMax +ve 4.000 9.972 Max -ve 4.000 -1.442 2:LC2 - 1.4HL Max +ve 4.000 13.961 Max -ve 4.000 -2.019 1644 623 4.000 1:LC1 - HYDRAULICMax +ve 4.000 6.737 Max -ve 4.000 -1.478 2:LC2 - 1.4HL Max +ve 4.000 9.432 Max -ve 4.000 -2.069 1645 627 4.000 1:LC1 - HYDRAULICMax +ve 4.000 19.676 4.000 0.003 Max -ve 0 -0.262 2:LC2 - 1.4HL Max +ve 4.000 27.546 4.000 0.004 Max -ve 0 -0.367 1646 634 4.000 1:LC1 - HYDRAULICMax +ve 4.000 16.433 Max -ve 0 -0.591 2:LC2 - 1.4HL Max +ve 4.000 23.006 Max -ve 0 -0.827 1647 637 4.000 1:LC1 - HYDRAULICMax +ve 4.000 12.410 Max -ve 0 -0.752 2:LC2 - 1.4HL Max +ve 4.000 17.373 Max -ve 0 -1.053 1648 644 4.000 1:LC1 - HYDRAULICMax +ve 4.000 29.147 Max -ve 4.000 -0.220 2:LC2 - 1.4HL Max +ve 4.000 40.806 Max -ve 4.000 -0.308 1649 648 4.000 1:LC1 - HYDRAULICMax +ve 4.000 17.922 4.000 0.209 Max -ve 0 -0.013 Software licensed to Schnabel Engineering, Inc CONNECTED User: Nathan Smith Job Title Client Job No Sheet No Rev Part Ref By Date Chd File Date/Time 18C21024.000 10 Lake Lure Dam Bulkhead Design City of Lake Lure NS 3/29/2022 CJ 29-Mar-2022 13:14LL_Bulkhead_Design.STD Print Time/Date: 29/03/2022 15:16 Print Run 10 of 25STAAD.Pro CONNECT Edition 22.07.00.160 Beam Maximum Moments Cont... Beam Node A Length (in) L/C d (in) Max My (kip-ft) d (in) Max Mz (kip-ft) 2:LC2 - 1.4HL Max +ve 4.000 25.091 4.000 0.293 Max -ve 0 -0.018 1650 657 4.000 1:LC1 - HYDRAULICMax +ve 4.000 17.950 Max -ve 4.000 -0.270 2:LC2 - 1.4HL Max +ve 4.000 25.130 Max -ve 4.000 -0.378 1651 661 4.000 1:LC1 - HYDRAULICMax +ve 4.000 29.176 4.000 0.231 Max -ve 2:LC2 - 1.4HL Max +ve 4.000 40.846 4.000 0.323 Max -ve 1652 668 4.000 1:LC1 - HYDRAULICMax +ve 4.000 28.666 4.000 0.177 Max -ve 2:LC2 - 1.4HL Max +ve 4.000 40.132 4.000 0.247 Max -ve 1653 672 4.000 1:LC1 - HYDRAULICMax +ve 4.000 17.359 0 0.330 Max -ve 4.000 -0.015 2:LC2 - 1.4HL Max +ve 4.000 24.303 0 0.462 Max -ve 4.000 -0.021 1654 677 4.000 1:LC1 - HYDRAULICMax +ve 4.000 16.266 0 0.719 Max -ve 2:LC2 - 1.4HL Max +ve 4.000 22.773 0 1.007 Max -ve 1655 681 4.000 1:LC1 - HYDRAULICMax +ve 4.000 27.735 4.000 0.106 Max -ve 2:LC2 - 1.4HL Max +ve 4.000 38.829 4.000 0.148 Max -ve 1656 688 4.000 1:LC1 - HYDRAULICMax +ve 4.000 26.362 4.000 0.020 Max -ve 0 -0.045 2:LC2 - 1.4HL Max +ve 4.000 36.907 4.000 0.028 Max -ve 0 -0.062 1657 692 4.000 1:LC1 - HYDRAULICMax +ve 4.000 14.642 0 1.114 Max -ve 2:LC2 - 1.4HL Max +ve 4.000 20.499 0 1.560 Max -ve 1658 695 4.000 1:LC1 - HYDRAULICMax +ve 4.000 12.538 0 1.397 Max -ve 2:LC2 - 1.4HL Max +ve 4.000 17.553 0 1.956 Max -ve 1659 699 4.000 1:LC1 - HYDRAULICMax +ve 4.000 24.564 Max -ve 0 -0.060 2:LC2 - 1.4HL Max +ve 4.000 34.389 Max -ve 0 -0.084 1660 706 4.000 1:LC1 - HYDRAULICMax +ve 4.000 22.346 0 0.028 Max -ve 4.000 -0.085 2:LC2 - 1.4HL Max +ve 4.000 31.285 0 0.039 Max -ve 4.000 -0.118 1661 710 4.000 1:LC1 - HYDRAULICMax +ve 4.000 9.972 4.000 1.442 Max -ve 2:LC2 - 1.4HL Max +ve 4.000 13.961 4.000 2.019 Software licensed to Schnabel Engineering, Inc CONNECTED User: Nathan Smith Job Title Client Job No Sheet No Rev Part Ref By Date Chd File Date/Time 18C21024.000 11 Lake Lure Dam Bulkhead Design City of Lake Lure NS 3/29/2022 CJ 29-Mar-2022 13:14LL_Bulkhead_Design.STD Print Time/Date: 29/03/2022 15:16 Print Run 11 of 25STAAD.Pro CONNECT Edition 22.07.00.160 Beam Maximum Moments Cont... Beam Node A Length (in) L/C d (in) Max My (kip-ft) d (in) Max Mz (kip-ft) Max -ve 1662 711 4.000 1:LC1 - HYDRAULICMax +ve 4.000 6.737 4.000 1.478 Max -ve 2:LC2 - 1.4HL Max +ve 4.000 9.432 4.000 2.069 Max -ve 1663 715 4.000 1:LC1 - HYDRAULICMax +ve 4.000 19.676 0 0.262 Max -ve 4.000 -0.003 2:LC2 - 1.4HL Max +ve 4.000 27.546 0 0.367 Max -ve 4.000 -0.004 1664 722 4.000 1:LC1 - HYDRAULICMax +ve 4.000 16.433 0 0.591 Max -ve 2:LC2 - 1.4HL Max +ve 4.000 23.006 0 0.827 Max -ve 1665 725 4.000 1:LC1 - HYDRAULICMax +ve 4.000 12.410 0 0.752 Max -ve 2:LC2 - 1.4HL Max +ve 4.000 17.373 0 1.053 Max -ve 1666 732 4.000 1:LC1 - HYDRAULICMax +ve 4.000 29.147 4.000 0.220 Max -ve 2:LC2 - 1.4HL Max +ve 4.000 40.806 4.000 0.308 Max -ve 1667 736 4.000 1:LC1 - HYDRAULICMax +ve 4.000 17.922 0 0.013 Max -ve 4.000 -0.209 2:LC2 - 1.4HL Max +ve 4.000 25.091 0 0.019 Max -ve 4.000 -0.293 Beam Maximum Axial Forces Distances to maxima are given from beam end A. Beam Node A Length (in) L/C d (in) Max Fx (kip) 1544 308 5.255 1:LC1 - HYDRAULICMax +ve 0 6.387 Max -ve 2:LC2 - 1.4HL Max +ve 0 8.942 Max -ve 1545 304 4.000 1:LC1 - HYDRAULICMax +ve 0 2.556 Max -ve 2:LC2 - 1.4HL Max +ve 0 3.579 Max -ve 1546 355 5.255 1:LC1 - HYDRAULICMax +ve 0 6.387 Max -ve 2:LC2 - 1.4HL Max +ve 0 8.942 Max -ve 1547 351 4.000 1:LC1 - HYDRAULICMax +ve 0 2.556 Max -ve 2:LC2 - 1.4HL Max +ve 0 3.579 Max -ve 1548 1 4.000 1:LC1 - HYDRAULICMax +ve 0 81.538 Max -ve Software licensed to Schnabel Engineering, Inc CONNECTED User: Nathan Smith Job Title Client Job No Sheet No Rev Part Ref By Date Chd File Date/Time 18C21024.000 12 Lake Lure Dam Bulkhead Design City of Lake Lure NS 3/29/2022 CJ 29-Mar-2022 13:14LL_Bulkhead_Design.STD Print Time/Date: 29/03/2022 15:16 Print Run 12 of 25STAAD.Pro CONNECT Edition 22.07.00.160 Beam Maximum Axial Forces Cont... Beam Node A Length (in) L/C d (in) Max Fx (kip) 2:LC2 - 1.4HL Max +ve 0 114.153 Max -ve 1549 206 4.000 1:LC1 - HYDRAULICMax +ve 0 74.962 Max -ve 2:LC2 - 1.4HL Max +ve 0 104.946 Max -ve 1550 208 4.000 1:LC1 - HYDRAULICMax +ve 0 64.990 Max -ve 2:LC2 - 1.4HL Max +ve 0 90.985 Max -ve 1552 212 4.000 1:LC1 - HYDRAULICMax +ve 0 29.922 Max -ve 2:LC2 - 1.4HL Max +ve 0 41.891 Max -ve 1554 233 4.000 1:LC1 - HYDRAULICMax +ve 0 17.453 Max -ve 2:LC2 - 1.4HL Max +ve 0 24.435 Max -ve 1556 236 4.000 1:LC1 - HYDRAULICMax +ve 0 58.275 Max -ve 2:LC2 - 1.4HL Max +ve 0 81.585 Max -ve 1557 237 4.000 1:LC1 - HYDRAULICMax +ve 0 70.541 Max -ve 2:LC2 - 1.4HL Max +ve 0 98.758 Max -ve 1559 241 4.000 1:LC1 - HYDRAULICMax +ve 0 39.992 Max -ve 2:LC2 - 1.4HL Max +ve 0 55.989 Max -ve 1560 243 4.000 1:LC1 - HYDRAULICMax +ve 0 71.911 Max -ve 2:LC2 - 1.4HL Max +ve 0 100.675 Max -ve 1561 250 4.000 1:LC1 - HYDRAULICMax +ve 0 5.512 Max -ve 2:LC2 - 1.4HL Max +ve 0 7.717 Max -ve 1562 238 4.000 1:LC1 - HYDRAULICMax +ve 0 80.453 Max -ve 2:LC2 - 1.4HL Max +ve 0 112.634 Max -ve 1563 210 4.000 1:LC1 - HYDRAULICMax +ve 0 50.306 Max -ve 2:LC2 - 1.4HL Max +ve 0 70.428 Max -ve 1564 235 4.000 1:LC1 - HYDRAULICMax +ve 0 40.922 Max -ve 2:LC2 - 1.4HL Max +ve 0 57.290 Software licensed to Schnabel Engineering, Inc CONNECTED User: Nathan Smith Job Title Client Job No Sheet No Rev Part Ref By Date Chd File Date/Time 18C21024.000 13 Lake Lure Dam Bulkhead Design City of Lake Lure NS 3/29/2022 CJ 29-Mar-2022 13:14LL_Bulkhead_Design.STD Print Time/Date: 29/03/2022 15:16 Print Run 13 of 25STAAD.Pro CONNECT Edition 22.07.00.160 Beam Maximum Axial Forces Cont... Beam Node A Length (in) L/C d (in) Max Fx (kip) Max -ve 1565 214 4.000 1:LC1 - HYDRAULICMax +ve 0 78.263 Max -ve 2:LC2 - 1.4HL Max +ve 0 109.568 Max -ve 1566 281 4.000 1:LC1 - HYDRAULICMax +ve 0 71.911 Max -ve 2:LC2 - 1.4HL Max +ve 0 100.675 Max -ve 1567 286 4.000 1:LC1 - HYDRAULICMax +ve 0 39.993 Max -ve 2:LC2 - 1.4HL Max +ve 0 55.990 Max -ve 1582 310 4.000 1:LC1 - HYDRAULICMax +ve 0 81.520 Max -ve 2:LC2 - 1.4HL Max +ve 0 114.129 Max -ve 1583 312 4.000 1:LC1 - HYDRAULICMax +ve 0 78.179 Max -ve 2:LC2 - 1.4HL Max +ve 0 109.450 Max -ve 1584 313 4.000 1:LC1 - HYDRAULICMax +ve 0 74.847 Max -ve 2:LC2 - 1.4HL Max +ve 0 104.785 Max -ve 1585 314 4.000 1:LC1 - HYDRAULICMax +ve 0 70.398 Max -ve 2:LC2 - 1.4HL Max +ve 0 98.558 Max -ve 1586 315 4.000 1:LC1 - HYDRAULICMax +ve 0 64.822 Max -ve 2:LC2 - 1.4HL Max +ve 0 90.751 Max -ve 1587 316 4.000 1:LC1 - HYDRAULICMax +ve 0 58.090 Max -ve 2:LC2 - 1.4HL Max +ve 0 81.325 Max -ve 1588 317 4.000 1:LC1 - HYDRAULICMax +ve 0 50.110 Max -ve 2:LC2 - 1.4HL Max +ve 0 70.155 Max -ve 1589 318 4.000 1:LC1 - HYDRAULICMax +ve 0 40.730 Max -ve 2:LC2 - 1.4HL Max +ve 0 57.022 Max -ve 1590 319 4.000 1:LC1 - HYDRAULICMax +ve 0 29.754 Max -ve 2:LC2 - 1.4HL Max +ve 0 41.656 Max -ve Software licensed to Schnabel Engineering, Inc CONNECTED User: Nathan Smith Job Title Client Job No Sheet No Rev Part Ref By Date Chd File Date/Time 18C21024.000 14 Lake Lure Dam Bulkhead Design City of Lake Lure NS 3/29/2022 CJ 29-Mar-2022 13:14LL_Bulkhead_Design.STD Print Time/Date: 29/03/2022 15:16 Print Run 14 of 25STAAD.Pro CONNECT Edition 22.07.00.160 Beam Maximum Axial Forces Cont... Beam Node A Length (in) L/C d (in) Max Fx (kip) 1591 322 4.000 1:LC1 - HYDRAULICMax +ve 0 80.402 Max -ve 2:LC2 - 1.4HL Max +ve 0 112.562 Max -ve 1594 338 4.000 1:LC1 - HYDRAULICMax +ve 0 5.475 Max -ve 2:LC2 - 1.4HL Max +ve 0 7.665 Max -ve 1595 343 4.000 1:LC1 - HYDRAULICMax +ve 0 17.340 Max -ve 2:LC2 - 1.4HL Max +ve 0 24.277 Max -ve 1596 393 4.000 1:LC1 - HYDRAULICMax +ve 0 65.291 Max -ve 2:LC2 - 1.4HL Max +ve 0 91.407 Max -ve 1597 397 4.000 1:LC1 - HYDRAULICMax +ve 0 32.371 Max -ve 2:LC2 - 1.4HL Max +ve 0 45.319 Max -ve 1598 403 4.000 1:LC1 - HYDRAULICMax +ve 0 55.120 Max -ve 2:LC2 - 1.4HL Max +ve 0 77.168 Max -ve 1599 407 4.000 1:LC1 - HYDRAULICMax +ve 0 21.879 Max -ve 2:LC2 - 1.4HL Max +ve 0 30.630 Max -ve 1600 412 4.000 1:LC1 - HYDRAULICMax +ve 0 39.713 Max -ve 2:LC2 - 1.4HL Max +ve 0 55.598 Max -ve 1601 416 4.000 1:LC1 - HYDRAULICMax +ve 0 9.393 Max -ve 2:LC2 - 1.4HL Max +ve 0 13.151 Max -ve 1602 420 4.000 1:LC1 - HYDRAULICMax +ve 0 18.824 Max -ve 2:LC2 - 1.4HL Max +ve 0 26.353 Max -ve 1603 426 4.000 1:LC1 - HYDRAULICMax +ve 0 68.611 Max -ve 2:LC2 - 1.4HL Max +ve 0 96.055 Max -ve 1604 430 4.000 1:LC1 - HYDRAULICMax +ve 0 36.125 Max -ve 2:LC2 - 1.4HL Max +ve 0 50.575 Max -ve 1605 456 5.255 1:LC1 - HYDRAULICMax +ve 0 6.282 Software licensed to Schnabel Engineering, Inc CONNECTED User: Nathan Smith Job Title Client Job No Sheet No Rev Part Ref By Date Chd File Date/Time 18C21024.000 15 Lake Lure Dam Bulkhead Design City of Lake Lure NS 3/29/2022 CJ 29-Mar-2022 13:14LL_Bulkhead_Design.STD Print Time/Date: 29/03/2022 15:16 Print Run 15 of 25STAAD.Pro CONNECT Edition 22.07.00.160 Beam Maximum Axial Forces Cont... Beam Node A Length (in) L/C d (in) Max Fx (kip) Max -ve 2:LC2 - 1.4HL Max +ve 0 8.795 Max -ve 1606 458 4.000 1:LC1 - HYDRAULICMax +ve 0 2.449 Max -ve 2:LC2 - 1.4HL Max +ve 0 3.428 Max -ve 1607 460 4.000 1:LC1 - HYDRAULICMax +ve 0 29.855 Max -ve 2:LC2 - 1.4HL Max +ve 0 41.797 Max -ve 1608 462 4.000 1:LC1 - HYDRAULICMax +ve 0 15.539 Max -ve 2:LC2 - 1.4HL Max +ve 0 21.755 Max -ve 1609 464 4.000 1:LC1 - HYDRAULICMax +ve 0 48.118 Max -ve 2:LC2 - 1.4HL Max +ve 0 67.365 Max -ve 1610 467 4.000 1:LC1 - HYDRAULICMax +ve 0 27.572 Max -ve 2:LC2 - 1.4HL Max +ve 0 38.600 Max -ve 1611 469 4.000 1:LC1 - HYDRAULICMax +ve 0 60.816 Max -ve 2:LC2 - 1.4HL Max +ve 0 85.142 Max -ve 1612 473 4.000 1:LC1 - HYDRAULICMax +ve 0 38.690 Max -ve 2:LC2 - 1.4HL Max +ve 0 54.165 Max -ve 1613 475 4.000 1:LC1 - HYDRAULICMax +ve 0 70.812 Max -ve 2:LC2 - 1.4HL Max +ve 0 99.137 Max -ve 1614 481 4.000 1:LC1 - HYDRAULICMax +ve 0 38.690 Max -ve 2:LC2 - 1.4HL Max +ve 0 54.167 Max -ve 1615 485 4.000 1:LC1 - HYDRAULICMax +ve 0 70.812 Max -ve 2:LC2 - 1.4HL Max +ve 0 99.136 Max -ve 1616 492 4.000 1:LC1 - HYDRAULICMax +ve 0 65.291 Max -ve 2:LC2 - 1.4HL Max +ve 0 91.407 Max -ve 1617 496 4.000 1:LC1 - HYDRAULICMax +ve 0 32.372 Max -ve Software licensed to Schnabel Engineering, Inc CONNECTED User: Nathan Smith Job Title Client Job No Sheet No Rev Part Ref By Date Chd File Date/Time 18C21024.000 16 Lake Lure Dam Bulkhead Design City of Lake Lure NS 3/29/2022 CJ 29-Mar-2022 13:14LL_Bulkhead_Design.STD Print Time/Date: 29/03/2022 15:16 Print Run 16 of 25STAAD.Pro CONNECT Edition 22.07.00.160 Beam Maximum Axial Forces Cont... Beam Node A Length (in) L/C d (in) Max Fx (kip) 2:LC2 - 1.4HL Max +ve 0 45.320 Max -ve 1618 501 4.000 1:LC1 - HYDRAULICMax +ve 0 27.573 Max -ve 2:LC2 - 1.4HL Max +ve 0 38.602 Max -ve 1619 505 4.000 1:LC1 - HYDRAULICMax +ve 0 60.815 Max -ve 2:LC2 - 1.4HL Max +ve 0 85.141 Max -ve 1620 512 4.000 1:LC1 - HYDRAULICMax +ve 0 55.120 Max -ve 2:LC2 - 1.4HL Max +ve 0 77.167 Max -ve 1621 516 4.000 1:LC1 - HYDRAULICMax +ve 0 21.880 Max -ve 2:LC2 - 1.4HL Max +ve 0 30.632 Max -ve 1622 519 4.000 1:LC1 - HYDRAULICMax +ve 0 15.540 Max -ve 2:LC2 - 1.4HL Max +ve 0 21.755 Max -ve 1623 523 4.000 1:LC1 - HYDRAULICMax +ve 0 48.117 Max -ve 2:LC2 - 1.4HL Max +ve 0 67.364 Max -ve 1624 530 4.000 1:LC1 - HYDRAULICMax +ve 0 39.713 Max -ve 2:LC2 - 1.4HL Max +ve 0 55.598 Max -ve 1625 534 4.000 1:LC1 - HYDRAULICMax +ve 0 9.394 Max -ve 2:LC2 - 1.4HL Max +ve 0 13.151 Max -ve 1626 535 4.000 1:LC1 - HYDRAULICMax +ve 0 2.449 Max -ve 2:LC2 - 1.4HL Max +ve 0 3.428 Max -ve 1627 539 4.000 1:LC1 - HYDRAULICMax +ve 0 29.855 Max -ve 2:LC2 - 1.4HL Max +ve 0 41.796 Max -ve 1628 546 4.000 1:LC1 - HYDRAULICMax +ve 0 18.823 Max -ve 2:LC2 - 1.4HL Max +ve 0 26.353 Max -ve 1629 549 5.255 1:LC1 - HYDRAULICMax +ve 0 6.282 Max -ve 2:LC2 - 1.4HL Max +ve 0 8.795 Software licensed to Schnabel Engineering, Inc CONNECTED User: Nathan Smith Job Title Client Job No Sheet No Rev Part Ref By Date Chd File Date/Time 18C21024.000 17 Lake Lure Dam Bulkhead Design City of Lake Lure NS 3/29/2022 CJ 29-Mar-2022 13:14LL_Bulkhead_Design.STD Print Time/Date: 29/03/2022 15:16 Print Run 17 of 25STAAD.Pro CONNECT Edition 22.07.00.160 Beam Maximum Axial Forces Cont... Beam Node A Length (in) L/C d (in) Max Fx (kip) Max -ve 1630 556 4.000 1:LC1 - HYDRAULICMax +ve 0 68.611 Max -ve 2:LC2 - 1.4HL Max +ve 0 96.055 Max -ve 1631 560 4.000 1:LC1 - HYDRAULICMax +ve 0 36.126 Max -ve 2:LC2 - 1.4HL Max +ve 0 50.577 Max -ve 1632 569 4.000 1:LC1 - HYDRAULICMax +ve 0 40.001 Max -ve 2:LC2 - 1.4HL Max +ve 0 56.002 Max -ve 1633 573 4.000 1:LC1 - HYDRAULICMax +ve 0 71.915 Max -ve 2:LC2 - 1.4HL Max +ve 0 100.682 Max -ve 1634 580 4.000 1:LC1 - HYDRAULICMax +ve 0 68.633 Max -ve 2:LC2 - 1.4HL Max +ve 0 96.086 Max -ve 1635 584 4.000 1:LC1 - HYDRAULICMax +ve 0 36.172 Max -ve 2:LC2 - 1.4HL Max +ve 0 50.641 Max -ve 1636 589 4.000 1:LC1 - HYDRAULICMax +ve 0 32.435 Max -ve 2:LC2 - 1.4HL Max +ve 0 45.410 Max -ve 1637 593 4.000 1:LC1 - HYDRAULICMax +ve 0 65.321 Max -ve 2:LC2 - 1.4HL Max +ve 0 91.449 Max -ve 1638 600 4.000 1:LC1 - HYDRAULICMax +ve 0 60.853 Max -ve 2:LC2 - 1.4HL Max +ve 0 85.194 Max -ve 1639 604 4.000 1:LC1 - HYDRAULICMax +ve 0 27.654 Max -ve 2:LC2 - 1.4HL Max +ve 0 38.716 Max -ve 1640 607 4.000 1:LC1 - HYDRAULICMax +ve 0 21.975 Max -ve 2:LC2 - 1.4HL Max +ve 0 30.766 Max -ve 1641 611 4.000 1:LC1 - HYDRAULICMax +ve 0 55.164 Max -ve 2:LC2 - 1.4HL Max +ve 0 77.230 Max -ve Software licensed to Schnabel Engineering, Inc CONNECTED User: Nathan Smith Job Title Client Job No Sheet No Rev Part Ref By Date Chd File Date/Time 18C21024.000 18 Lake Lure Dam Bulkhead Design City of Lake Lure NS 3/29/2022 CJ 29-Mar-2022 13:14LL_Bulkhead_Design.STD Print Time/Date: 29/03/2022 15:16 Print Run 18 of 25STAAD.Pro CONNECT Edition 22.07.00.160 Beam Maximum Axial Forces Cont... Beam Node A Length (in) L/C d (in) Max Fx (kip) 1642 618 4.000 1:LC1 - HYDRAULICMax +ve 0 48.170 Max -ve 2:LC2 - 1.4HL Max +ve 0 67.438 Max -ve 1643 622 4.000 1:LC1 - HYDRAULICMax +ve 0 15.648 Max -ve 2:LC2 - 1.4HL Max +ve 0 21.908 Max -ve 1644 623 4.000 1:LC1 - HYDRAULICMax +ve 0 9.500 Max -ve 2:LC2 - 1.4HL Max +ve 0 13.300 Max -ve 1645 627 4.000 1:LC1 - HYDRAULICMax +ve 0 39.776 Max -ve 2:LC2 - 1.4HL Max +ve 0 55.686 Max -ve 1646 634 4.000 1:LC1 - HYDRAULICMax +ve 0 29.933 Max -ve 2:LC2 - 1.4HL Max +ve 0 41.907 Max -ve 1647 637 4.000 1:LC1 - HYDRAULICMax +ve 0 18.929 Max -ve 2:LC2 - 1.4HL Max +ve 0 26.501 Max -ve 1648 644 4.000 1:LC1 - HYDRAULICMax +ve 0 70.825 Max -ve 2:LC2 - 1.4HL Max +ve 0 99.155 Max -ve 1649 648 4.000 1:LC1 - HYDRAULICMax +ve 0 38.718 Max -ve 2:LC2 - 1.4HL Max +ve 0 54.205 Max -ve 1650 657 4.000 1:LC1 - HYDRAULICMax +ve 0 40.002 Max -ve 2:LC2 - 1.4HL Max +ve 0 56.003 Max -ve 1651 661 4.000 1:LC1 - HYDRAULICMax +ve 0 71.915 Max -ve 2:LC2 - 1.4HL Max +ve 0 100.681 Max -ve 1652 668 4.000 1:LC1 - HYDRAULICMax +ve 0 68.633 Max -ve 2:LC2 - 1.4HL Max +ve 0 96.086 Max -ve 1653 672 4.000 1:LC1 - HYDRAULICMax +ve 0 36.172 Max -ve 2:LC2 - 1.4HL Max +ve 0 50.641 Max -ve 1654 677 4.000 1:LC1 - HYDRAULICMax +ve 0 32.436 Software licensed to Schnabel Engineering, Inc CONNECTED User: Nathan Smith Job Title Client Job No Sheet No Rev Part Ref By Date Chd File Date/Time 18C21024.000 19 Lake Lure Dam Bulkhead Design City of Lake Lure NS 3/29/2022 CJ 29-Mar-2022 13:14LL_Bulkhead_Design.STD Print Time/Date: 29/03/2022 15:16 Print Run 19 of 25STAAD.Pro CONNECT Edition 22.07.00.160 Beam Maximum Axial Forces Cont... Beam Node A Length (in) L/C d (in) Max Fx (kip) Max -ve 2:LC2 - 1.4HL Max +ve 0 45.410 Max -ve 1655 681 4.000 1:LC1 - HYDRAULICMax +ve 0 65.321 Max -ve 2:LC2 - 1.4HL Max +ve 0 91.449 Max -ve 1656 688 4.000 1:LC1 - HYDRAULICMax +ve 0 60.853 Max -ve 2:LC2 - 1.4HL Max +ve 0 85.194 Max -ve 1657 692 4.000 1:LC1 - HYDRAULICMax +ve 0 27.654 Max -ve 2:LC2 - 1.4HL Max +ve 0 38.716 Max -ve 1658 695 4.000 1:LC1 - HYDRAULICMax +ve 0 21.976 Max -ve 2:LC2 - 1.4HL Max +ve 0 30.766 Max -ve 1659 699 4.000 1:LC1 - HYDRAULICMax +ve 0 55.164 Max -ve 2:LC2 - 1.4HL Max +ve 0 77.230 Max -ve 1660 706 4.000 1:LC1 - HYDRAULICMax +ve 0 48.170 Max -ve 2:LC2 - 1.4HL Max +ve 0 67.438 Max -ve 1661 710 4.000 1:LC1 - HYDRAULICMax +ve 0 15.648 Max -ve 2:LC2 - 1.4HL Max +ve 0 21.908 Max -ve 1662 711 4.000 1:LC1 - HYDRAULICMax +ve 0 9.500 Max -ve 2:LC2 - 1.4HL Max +ve 0 13.300 Max -ve 1663 715 4.000 1:LC1 - HYDRAULICMax +ve 0 39.776 Max -ve 2:LC2 - 1.4HL Max +ve 0 55.686 Max -ve 1664 722 4.000 1:LC1 - HYDRAULICMax +ve 0 29.933 Max -ve 2:LC2 - 1.4HL Max +ve 0 41.907 Max -ve 1665 725 4.000 1:LC1 - HYDRAULICMax +ve 0 18.929 Max -ve 2:LC2 - 1.4HL Max +ve 0 26.501 Max -ve 1666 732 4.000 1:LC1 - HYDRAULICMax +ve 0 70.825 Max -ve Software licensed to Schnabel Engineering, Inc CONNECTED User: Nathan Smith Job Title Client Job No Sheet No Rev Part Ref By Date Chd File Date/Time 18C21024.000 20 Lake Lure Dam Bulkhead Design City of Lake Lure NS 3/29/2022 CJ 29-Mar-2022 13:14LL_Bulkhead_Design.STD Print Time/Date: 29/03/2022 15:16 Print Run 20 of 25STAAD.Pro CONNECT Edition 22.07.00.160 Beam Maximum Axial Forces Cont... Beam Node A Length (in) L/C d (in) Max Fx (kip) 2:LC2 - 1.4HL Max +ve 0 99.155 Max -ve 1667 736 4.000 1:LC1 - HYDRAULICMax +ve 0 38.718 Max -ve 2:LC2 - 1.4HL Max +ve 0 54.206 Max -ve 8.383 kip 11.315 kip 9.165 kip 15.042 kip 11.114 kip 11.881 kip 7.154 kip 10.236 kip 4.271 kip 12.116 kip 15.900 kip 2.508 kip1.769 kip 10.236 kip 1.489 kip 11.881 kip 1.446 kip 15.042 kip 1.574 kip 11.315 kip 1.355 kip 12.116 kip 1.549 kip 8.383 kip 1.355 kip 9.165 kip 1.573 kip 11.114 kip 1.444 kip 7.154 kip 1.491 kip 4.271 kip 1.771 kip 2.508 kip 2.521 kip 1.769 kip 4.282 kip 1.489 kip 7.270 kip 1.446 kip 11.226 kip 1.574 kip 8.896 kip 1.355 kip 8.372 kip 1.355 kip 11.403 kip 1.574 kip 15.199 kip 1.445 kip 11.596 kip 1.489 kip 10.238 kip 1.767 kip 12.166 kip 2.522 kip 15.993 kip 12.166 kip 4.283 kip 1.549 kip 10.238 kip 7.271 kip 11.596 kip11.226 kip 15.199 kip 8.896 kip 11.403 kip 8.372 kip Support Reactions - All Software licensed to Schnabel Engineering, Inc CONNECTED User: Nathan Smith Job Title Client Job No Sheet No Rev Part Ref By Date Chd File Date/Time 18C21024.000 21 Lake Lure Dam Bulkhead Design City of Lake Lure NS 3/29/2022 CJ 29-Mar-2022 13:14LL_Bulkhead_Design.STD Print Time/Date: 29/03/2022 15:16 Print Run 21 of 25STAAD.Pro CONNECT Edition 22.07.00.160 1.355 kip 1.355 kip1.573 kip1.574 kip1.445 kip 1.444 kip1.489 kip 1.491 kip1.767 kip 1.771 kip 2.521 kip2.522 kip 4.283 kip 4.282 kip 7.270 kip7.271 kip 11.226 kip11.226 kip 8.896 kip 8.896 kip 8.372 kip8.372 kip 11.403 kip11.403 kip 15.199 kip 15.199 kip 11.596 kip 11.596 kip 10.238 kip 10.238 kip 12.166 kip12.166 kip 15.993 kip Load 2XY Z Support Reactions on Beam Bearing Sides 12.116 kip 15.993 kip15.900 kip 12.166 kip12.116 kip 10.236 kip 10.238 kip 11.596 kip 11.881 kip 15.199 kip15.042 kip 11.315 kip 11.403 kip 8.372 kip8.383 kip 9.165 kip 8.896 kip 11.114 kip 11.226 kip 7.271 kip7.154 kip 4.283 kip4.271 kip 2.508 kip 2.522 kip 1.769 kip 1.767 kip 1.489 kip 1.489 kip1.446 kip 1.445 kip1.574 kip1.574 kip 12.166 kip 1.355 kip 1.355 kip1.549 kip Load 2XY Z Support Reactions at Plate Bearing Sides Software licensed to Schnabel Engineering, Inc CONNECTED User: Nathan Smith Job Title Client Job No Sheet No Rev Part Ref By Date Chd File Date/Time 18C21024.000 22 Lake Lure Dam Bulkhead Design City of Lake Lure NS 3/29/2022 CJ 29-Mar-2022 13:14LL_Bulkhead_Design.STD Print Time/Date: 29/03/2022 15:16 Print Run 22 of 25STAAD.Pro CONNECT Edition 22.07.00.160 Reactions Horizontal Vertical Moment Node L/C FX (kip) FY (kip) FZ (kip) MX (kip-ft) MY (kip-ft) MZ (kip-ft) 205 1:LC1 - HYDRAULIC 0 0 1.031 0 0 0 2:LC2 - 1.4HL 0 0 1.444 0 0 0 207 1:LC1 - HYDRAULIC 0 0 1.265 0 0 0 2:LC2 - 1.4HL 0 0 1.771 0 0 0 213 1:LC1 - HYDRAULIC 0 0 1.123 0 0 0 2:LC2 - 1.4HL 0 0 1.573 0 0 0 215 1:LC1 - HYDRAULIC 0 0 8.283 0 0 0 2:LC2 - 1.4HL 0 0 11.596 0 0 0 217 1:LC1 - HYDRAULIC 0 0 8.145 0 0 0 2:LC2 - 1.4HL 0 0 11.403 0 0 0 219 1:LC1 - HYDRAULIC 0 0 6.354 0 0 0 2:LC2 - 1.4HL 0 0 8.896 0 0 0 221 1:LC1 - HYDRAULIC 0 0 5.193 0 0 0 2:LC2 - 1.4HL 0 0 7.270 0 0 0 223 1:LC1 - HYDRAULIC 0 0 7.313 0 0 0 2:LC2 - 1.4HL 0 0 10.238 0 0 0 225 1:LC1 - HYDRAULIC 0 0 1.800 0 0 0 2:LC2 - 1.4HL 0 0 2.521 0 0 0 226 1:LC1 - HYDRAULIC 0 0 1.065 0 0 0 2:LC2 - 1.4HL 0 0 1.491 0 0 0 227 1:LC1 - HYDRAULIC 0 0 3.058 0 0 0 2:LC2 - 1.4HL 0 0 4.282 0 0 0 228 1:LC1 - HYDRAULIC 0 0 8.019 0 0 0 2:LC2 - 1.4HL 0 0 11.226 0 0 0 229 1:LC1 - HYDRAULIC 0 0 5.980 0 0 0 2:LC2 - 1.4HL 0 0 8.372 0 0 0 230 1:LC1 - HYDRAULIC 0 0 10.856 0 0 0 2:LC2 - 1.4HL 0 0 15.199 0 0 0 231 1:LC1 - HYDRAULIC 0 0 0.968 0 0 0 2:LC2 - 1.4HL 0 0 1.355 0 0 0 232 1:LC1 - HYDRAULIC 0 0 8.690 0 0 0 2:LC2 - 1.4HL 0 0 12.166 0 0 0 245 1:LC1 - HYDRAULIC 0 0 11.424 0 0 0 2:LC2 - 1.4HL 0 0 15.993 0 0 0 246 1:LC1 - HYDRAULIC 0 0 1.106 0 0 0 2:LC2 - 1.4HL 0 0 1.549 0 0 0 251 1:LC1 - HYDRAULIC 0 0 1.262 0 0 0 2:LC2 - 1.4HL 0 0 1.767 0 0 0 252 1:LC1 - HYDRAULIC 0 0 1.802 0 0 0 2:LC2 - 1.4HL 0 0 2.522 0 0 0 253 1:LC1 - HYDRAULIC 0 0 1.032 0 0 0 2:LC2 - 1.4HL 0 0 1.445 0 0 0 254 1:LC1 - HYDRAULIC 0 0 1.064 0 0 0 2:LC2 - 1.4HL 0 0 1.489 0 0 0 255 1:LC1 - HYDRAULIC 0 0 3.059 0 0 0 2:LC2 - 1.4HL 0 0 4.283 0 0 0 256 1:LC1 - HYDRAULIC 0 0 5.193 0 0 0 2:LC2 - 1.4HL 0 0 7.271 0 0 0 Software licensed to Schnabel Engineering, Inc CONNECTED User: Nathan Smith Job Title Client Job No Sheet No Rev Part Ref By Date Chd File Date/Time 18C21024.000 23 Lake Lure Dam Bulkhead Design City of Lake Lure NS 3/29/2022 CJ 29-Mar-2022 13:14LL_Bulkhead_Design.STD Print Time/Date: 29/03/2022 15:16 Print Run 23 of 25STAAD.Pro CONNECT Edition 22.07.00.160 Reactions Cont... Horizontal Vertical Moment Node L/C FX (kip) FY (kip) FZ (kip) MX (kip-ft) MY (kip-ft) MZ (kip-ft) 258 1:LC1 - HYDRAULIC 0 0 8.019 0 0 0 2:LC2 - 1.4HL 0 0 11.226 0 0 0 259 1:LC1 - HYDRAULIC 0 0 8.145 0 0 0 2:LC2 - 1.4HL 0 0 11.403 0 0 0 260 1:LC1 - HYDRAULIC 0 0 5.980 0 0 0 2:LC2 - 1.4HL 0 0 8.372 0 0 0 261 1:LC1 - HYDRAULIC 0 0 8.283 0 0 0 2:LC2 - 1.4HL 0 0 11.596 0 0 0 262 1:LC1 - HYDRAULIC 0 0 10.856 0 0 0 2:LC2 - 1.4HL 0 0 15.199 0 0 0 265 1:LC1 - HYDRAULIC 0 0 0.968 0 0 0 2:LC2 - 1.4HL 0 0 1.355 0 0 0 275 1:LC1 - HYDRAULIC 0 0 1.124 0 0 0 2:LC2 - 1.4HL 0 0 1.574 0 0 0 279 1:LC1 - HYDRAULIC 0 0 8.690 0 0 0 2:LC2 - 1.4HL 0 0 12.166 0 0 0 284 1:LC1 - HYDRAULIC 0 0 6.354 0 0 0 2:LC2 - 1.4HL 0 0 8.896 0 0 0 290 1:LC1 - HYDRAULIC 0 0 7.313 0 0 0 2:LC2 - 1.4HL 0 0 10.238 0 0 0 297 1:LC1 - HYDRAULIC 0 0 1.263 0 0 0 2:LC2 - 1.4HL 0 0 1.769 0 0 0 298 1:LC1 - HYDRAULIC 0 0 1.791 0 0 0 2:LC2 - 1.4HL 0 0 2.508 0 0 0 299 1:LC1 - HYDRAULIC 0 0 1.033 0 0 0 2:LC2 - 1.4HL 0 0 1.446 0 0 0 300 1:LC1 - HYDRAULIC 0 0 1.063 0 0 0 2:LC2 - 1.4HL 0 0 1.489 0 0 0 301 1:LC1 - HYDRAULIC 0 0 3.051 0 0 0 2:LC2 - 1.4HL 0 0 4.271 0 0 0 302 1:LC1 - HYDRAULIC 0 0 5.110 0 0 0 2:LC2 - 1.4HL 0 0 7.154 0 0 0 304 1:LC1 - HYDRAULIC 0 0 7.938 0 0 0 2:LC2 - 1.4HL 0 0 11.114 0 0 0 305 1:LC1 - HYDRAULIC 0 0 8.082 0 0 0 2:LC2 - 1.4HL 0 0 11.315 0 0 0 306 1:LC1 - HYDRAULIC 0 0 5.988 0 0 0 2:LC2 - 1.4HL 0 0 8.383 0 0 0 307 1:LC1 - HYDRAULIC 0 0 8.486 0 0 0 2:LC2 - 1.4HL 0 0 11.881 0 0 0 308 1:LC1 - HYDRAULIC 0 0 10.744 0 0 0 2:LC2 - 1.4HL 0 0 15.042 0 0 0 311 1:LC1 - HYDRAULIC 0 0 0.968 0 0 0 2:LC2 - 1.4HL 0 0 1.355 0 0 0 321 1:LC1 - HYDRAULIC 0 0 1.124 0 0 0 2:LC2 - 1.4HL 0 0 1.574 0 0 0 324 1:LC1 - HYDRAULIC 0 0 8.654 0 0 0 2:LC2 - 1.4HL 0 0 12.116 0 0 0 Software licensed to Schnabel Engineering, Inc CONNECTED User: Nathan Smith Job Title Client Job No Sheet No Rev Part Ref By Date Chd File Date/Time 18C21024.000 24 Lake Lure Dam Bulkhead Design City of Lake Lure NS 3/29/2022 CJ 29-Mar-2022 13:14LL_Bulkhead_Design.STD Print Time/Date: 29/03/2022 15:16 Print Run 24 of 25STAAD.Pro CONNECT Edition 22.07.00.160 Reactions Cont... Horizontal Vertical Moment Node L/C FX (kip) FY (kip) FZ (kip) MX (kip-ft) MY (kip-ft) MZ (kip-ft) 329 1:LC1 - HYDRAULIC 0 0 6.546 0 0 0 2:LC2 - 1.4HL 0 0 9.165 0 0 0 335 1:LC1 - HYDRAULIC 0 0 7.311 0 0 0 2:LC2 - 1.4HL 0 0 10.236 0 0 0 338 1:LC1 - HYDRAULIC 0 0 11.357 0 0 0 2:LC2 - 1.4HL 0 0 15.900 0 0 0 344 1:LC1 - HYDRAULIC 0 0 1.263 0 0 0 2:LC2 - 1.4HL 0 0 1.769 0 0 0 345 1:LC1 - HYDRAULIC 0 0 1.791 0 0 0 2:LC2 - 1.4HL 0 0 2.508 0 0 0 346 1:LC1 - HYDRAULIC 0 0 1.033 0 0 0 2:LC2 - 1.4HL 0 0 1.446 0 0 0 347 1:LC1 - HYDRAULIC 0 0 1.063 0 0 0 2:LC2 - 1.4HL 0 0 1.489 0 0 0 348 1:LC1 - HYDRAULIC 0 0 3.051 0 0 0 2:LC2 - 1.4HL 0 0 4.271 0 0 0 349 1:LC1 - HYDRAULIC 0 0 5.110 0 0 0 2:LC2 - 1.4HL 0 0 7.154 0 0 0 351 1:LC1 - HYDRAULIC 0 0 7.938 0 0 0 2:LC2 - 1.4HL 0 0 11.114 0 0 0 352 1:LC1 - HYDRAULIC 0 0 8.082 0 0 0 2:LC2 - 1.4HL 0 0 11.315 0 0 0 353 1:LC1 - HYDRAULIC 0 0 5.988 0 0 0 2:LC2 - 1.4HL 0 0 8.383 0 0 0 354 1:LC1 - HYDRAULIC 0 0 8.486 0 0 0 2:LC2 - 1.4HL 0 0 11.881 0 0 0 355 1:LC1 - HYDRAULIC 0 0 10.744 0 0 0 2:LC2 - 1.4HL 0 0 15.042 0 0 0 358 1:LC1 - HYDRAULIC 0 0 0.968 0 0 0 2:LC2 - 1.4HL 0 0 1.355 0 0 0 368 1:LC1 - HYDRAULIC 0 0 1.124 0 0 0 2:LC2 - 1.4HL 0 0 1.574 0 0 0 371 1:LC1 - HYDRAULIC 0 0 8.654 0 0 0 2:LC2 - 1.4HL 0 0 12.116 0 0 0 376 1:LC1 - HYDRAULIC 0 0 6.546 0 0 0 2:LC2 - 1.4HL 0 0 9.165 0 0 0 382 1:LC1 - HYDRAULIC 0 0 7.311 0 0 0 2:LC2 - 1.4HL 0 0 10.236 0 0 0 385 1:LC1 - HYDRAULIC 0 0 1.106 0 0 0 2:LC2 - 1.4HL 0 0 1.549 0 0 0 Software licensed to Schnabel Engineering, Inc CONNECTED User: Nathan Smith Job Title Client Job No Sheet No Rev Part Ref By Date Chd File Date/Time 18C21024.000 25 Lake Lure Dam Bulkhead Design City of Lake Lure NS 3/29/2022 CJ 29-Mar-2022 13:14LL_Bulkhead_Design.STD Print Time/Date: 29/03/2022 15:16 Print Run 25 of 25STAAD.Pro CONNECT Edition 22.07.00.160 Max Von Mis psi <= 3803 6205 8607 11 E3 13.4 E3 15.8 E3 18.2 E3 20.6 E3 23 E3 25.4 E3 27.8 E3 30.2 E3 32.6 E3 35 E3 37.4 E3 39.8 E3 >= 42.2 E3 Max Von Mis Plate Stresses Software licensed to Schnabel Engineering, Inc CONNECTED User: Nathan Smith Job Title Client Job No Sheet No Rev Part Ref By Date Chd File Date/Time 18C21024.000 1 Lake Lure Dam Bulkhead Design City of Lake Lure NS 3/29/2022 CF 29-Mar-2022 16:18support bars.STD Print Time/Date: 29/03/2022 16:32 Print Run 1 of 12STAAD.Pro CONNECT Edition 22.07.00.160 Job Information Engineer Checked Approved Name:NS CF CF Date:3/29/2022 Project ID Project Name Structure Type SPACE FRAME Number of Nodes 32 Highest Node 36 Number of Elements 28 Highest Beam 32 Number of Basic Load Cases 3 Number of Combination Load Cases 0 Included in this printout are data for: All The Whole Structure Included in this printout are results for load cases: Type L/C Name Primary 1 LC1 - DEAD LOAD Primary 2 1.4 X D: Primary 3 1.4 X D X 0.5 (ONE BAR): Section Properties Prop Section Area (in2) Iyy (in4) Izz (in4) J (in4) Material 1 Cir 1.00 0.785 0.049 0.049 0.098 STEEL 2 4X1_BAR 4.000 0.333 5.333 1.124 STEEL Materials Mat Name E (kip/in2) n Density (kip/in3) a (/°F) 1 STEEL 29 E +3 0.300 0.000283 6.5 E -6 Primary Load Cases Number Name Type 1 LC1 - DEAD LOAD None 2 1.4 X D:None 3 1.4 X D X 0.5 (ONE BAR):None Software licensed to Schnabel Engineering, Inc CONNECTED User: Nathan Smith Job Title Client Job No Sheet No Rev Part Ref By Date Chd File Date/Time 18C21024.000 2 Lake Lure Dam Bulkhead Design City of Lake Lure NS 3/29/2022 CF 29-Mar-2022 16:18support bars.STD Print Time/Date: 29/03/2022 16:32 Print Run 2 of 12STAAD.Pro CONNECT Edition 22.07.00.160 3D View of Bulkhead Hinge Bar -1.050 kip -0.833 kip-0.881 kip-0.833 kip -1.050 kip -1.050 kip -0.833 kip-0.881 kip-0.833 kip -1.050 kip -1.050 kip -0.833 kip -0.833 kip -1.050 kip -0.833 kip-0.881 kip -1.050 kip -1.050 kip -0.833 kip-0.838 kip Load 1 X Y Z Total Unfactored Load on Hinge Bars (LC 1) Software licensed to Schnabel Engineering, Inc CONNECTED User: Nathan Smith Job Title Client Job No Sheet No Rev Part Ref By Date Chd File Date/Time 18C21024.000 3 Lake Lure Dam Bulkhead Design City of Lake Lure NS 3/29/2022 CF 29-Mar-2022 16:18support bars.STD Print Time/Date: 29/03/2022 16:32 Print Run 3 of 12STAAD.Pro CONNECT Edition 22.07.00.160 0.193 0.104 0.155 0.157 0.16 0.121 0.161 0.247 0.0305 0.256 0.258 0.188 0.153 0.2220.2560.259 0.0229 0.236 0.248 0.0784 0.3090.309 0.0437 0.29 Load 3 X Y Z Utilization Ratios of Hinge Bar (LC 3) Beam Maximum Moments Distances to maxima are given from beam end A. Beam Node A Length (in) L/C d (in) Max My (kip-ft) d (in) Max Mz (kip-ft) 1 1 16.000 1:LC1 - DEAD LOADMax +ve 0 0 Max -ve 0 0 16.000 -1.959 2:1.4 X D:Max +ve 0 0 0 0.000 Max -ve 0 0 16.000 -2.743 3:1.4 X D X 0.5 (ONE BAR):Max +ve 0 0 0 0.000 Max -ve 0 0 16.000 -1.371 2 6 13.732 1:LC1 - DEAD LOADMax +ve 0 0 13.732 0.000 Max -ve 0 0 0 -1.039 2:1.4 X D:Max +ve 0 0 13.732 0.000 Max -ve 0 0 0 -1.455 3:1.4 X D X 0.5 (ONE BAR):Max +ve 0 0 13.732 0.000 Max -ve 0 0 0 -0.727 3 1 27.406 1:LC1 - DEAD LOADMax +ve 0 0 25.122 0.000 Software licensed to Schnabel Engineering, Inc CONNECTED User: Nathan Smith Job Title Client Job No Sheet No Rev Part Ref By Date Chd File Date/Time 18C21024.000 4 Lake Lure Dam Bulkhead Design City of Lake Lure NS 3/29/2022 CF 29-Mar-2022 16:18support bars.STD Print Time/Date: 29/03/2022 16:32 Print Run 4 of 12STAAD.Pro CONNECT Edition 22.07.00.160 Beam Maximum Moments Cont... Beam Node A Length (in) L/C d (in) Max My (kip-ft) d (in) Max Mz (kip-ft) Max -ve 0 0 27.406 -0.000 2:1.4 X D:Max +ve 0 0 25.122 0.000 Max -ve 0 0 0 0 3:1.4 X D X 0.5 (ONE BAR):Max +ve 0 0 25.122 0.000 Max -ve 0 0 0 0 4 2 16.000 1:LC1 - DEAD LOADMax +ve 0 0 Max -ve 0 0 16.000 -3.133 2:1.4 X D:Max +ve 0 0 Max -ve 0 0 16.000 -4.386 3:1.4 X D X 0.5 (ONE BAR):Max +ve 0 0 Max -ve 0 0 16.000 -2.193 5 3 16.000 1:LC1 - DEAD LOADMax +ve 0 0 Max -ve 0 0 16.000 -3.476 2:1.4 X D:Max +ve 0 0 Max -ve 0 0 16.000 -4.867 3:1.4 X D X 0.5 (ONE BAR):Max +ve 0 0 Max -ve 0 0 16.000 -2.433 6 4 16.000 1:LC1 - DEAD LOADMax +ve 0 0 Max -ve 0 0 0 -3.476 2:1.4 X D:Max +ve 0 0 Max -ve 0 0 0 -4.867 3:1.4 X D X 0.5 (ONE BAR):Max +ve 0 0 Max -ve 0 0 0 -2.433 7 5 22.290 1:LC1 - DEAD LOADMax +ve 0 0 Max -ve 0 0 0 -3.034 2:1.4 X D:Max +ve 0 0 Max -ve 0 0 0 -4.248 3:1.4 X D X 0.5 (ONE BAR):Max +ve 0 0 Max -ve 0 0 0 -2.124 8 9 16.000 1:LC1 - DEAD LOADMax +ve 0 0 0 0.000 Max -ve 0 0 16.000 -1.366 2:1.4 X D:Max +ve 0 0 Max -ve 0 0 16.000 -1.913 3:1.4 X D X 0.5 (ONE BAR):Max +ve 0 0 Max -ve 0 0 16.000 -0.956 9 11 13.732 1:LC1 - DEAD LOADMax +ve 0 0 0 0.359 Max -ve 0 0 2:1.4 X D:Max +ve 0 0 0 0.503 Max -ve 0 0 3:1.4 X D X 0.5 (ONE BAR):Max +ve 0 0 0 0.251 Max -ve 0 0 10 9 24.413 1:LC1 - DEAD LOADMax +ve 0 0 0 0 Max -ve 0 0 22.379 -0.000 2:1.4 X D:Max +ve 0 0 0 0 Max -ve 0 0 22.379 -0.000 3:1.4 X D X 0.5 (ONE BAR):Max +ve 0 0 0 0 Max -ve 0 0 22.379 -0.000 15 17 16.000 1:LC1 - DEAD LOADMax +ve 0 0 0 0.000 Max -ve 0 0 16.000 -2.165 Software licensed to Schnabel Engineering, Inc CONNECTED User: Nathan Smith Job Title Client Job No Sheet No Rev Part Ref By Date Chd File Date/Time 18C21024.000 5 Lake Lure Dam Bulkhead Design City of Lake Lure NS 3/29/2022 CF 29-Mar-2022 16:18support bars.STD Print Time/Date: 29/03/2022 16:32 Print Run 5 of 12STAAD.Pro CONNECT Edition 22.07.00.160 Beam Maximum Moments Cont... Beam Node A Length (in) L/C d (in) Max My (kip-ft) d (in) Max Mz (kip-ft) 2:1.4 X D:Max +ve 0 0 Max -ve 0 0 16.000 -3.031 3:1.4 X D X 0.5 (ONE BAR):Max +ve 0 0 Max -ve 0 0 16.000 -1.516 16 19 13.732 1:LC1 - DEAD LOADMax +ve 0 0 0 0.503 Max -ve 0 0 2:1.4 X D:Max +ve 0 0 0 0.704 Max -ve 0 0 3:1.4 X D X 0.5 (ONE BAR):Max +ve 0 0 0 0.352 Max -ve 0 0 17 17 9.861 1:LC1 - DEAD LOADMax +ve 0 0 9.039 0.000 Max -ve 0 0 9.861 -0.000 2:1.4 X D:Max +ve 0 0 9.039 0.000 Max -ve 0 0 0 0 3:1.4 X D X 0.5 (ONE BAR):Max +ve 0 0 9.039 0.000 Max -ve 0 0 0 0 18 18 16.000 1:LC1 - DEAD LOADMax +ve 0 0 Max -ve 0 0 16.000 -3.326 2:1.4 X D:Max +ve 0 0 Max -ve 0 0 16.000 -4.657 3:1.4 X D X 0.5 (ONE BAR):Max +ve 0 0 Max -ve 0 0 16.000 -2.329 19 22 16.000 1:LC1 - DEAD LOADMax +ve 0 0 Max -ve 0 0 16.000 -3.426 2:1.4 X D:Max +ve 0 0 Max -ve 0 0 16.000 -4.796 3:1.4 X D X 0.5 (ONE BAR):Max +ve 0 0 Max -ve 0 0 16.000 -2.398 20 23 16.000 1:LC1 - DEAD LOADMax +ve 0 0 Max -ve 0 0 0 -3.426 2:1.4 X D:Max +ve 0 0 Max -ve 0 0 0 -4.796 3:1.4 X D X 0.5 (ONE BAR):Max +ve 0 0 Max -ve 0 0 0 -2.398 21 24 22.290 1:LC1 - DEAD LOADMax +ve 0 0 22.290 0.503 Max -ve 0 0 0 -2.521 2:1.4 X D:Max +ve 0 0 22.290 0.704 Max -ve 0 0 0 -3.529 3:1.4 X D X 0.5 (ONE BAR):Max +ve 0 0 22.290 0.352 Max -ve 0 0 0 -1.765 22 25 16.000 1:LC1 - DEAD LOADMax +ve 0 0 Max -ve 0 0 16.000 -2.498 2:1.4 X D:Max +ve 0 0 Max -ve 0 0 16.000 -3.497 3:1.4 X D X 0.5 (ONE BAR):Max +ve 0 0 Max -ve 0 0 16.000 -1.748 23 27 13.732 1:LC1 - DEAD LOADMax +ve 0 0 13.732 -0 Max -ve 0 0 0 -0.191 2:1.4 X D:Max +ve 0 0 13.732 -0 Software licensed to Schnabel Engineering, Inc CONNECTED User: Nathan Smith Job Title Client Job No Sheet No Rev Part Ref By Date Chd File Date/Time 18C21024.000 6 Lake Lure Dam Bulkhead Design City of Lake Lure NS 3/29/2022 CF 29-Mar-2022 16:18support bars.STD Print Time/Date: 29/03/2022 16:32 Print Run 6 of 12STAAD.Pro CONNECT Edition 22.07.00.160 Beam Maximum Moments Cont... Beam Node A Length (in) L/C d (in) Max My (kip-ft) d (in) Max Mz (kip-ft) Max -ve 0 0 0 -0.267 3:1.4 X D X 0.5 (ONE BAR):Max +ve 0 0 13.732 -0 Max -ve 0 0 0 -0.133 24 25 18.050 1:LC1 - DEAD LOADMax +ve 0 0 0 0 Max -ve 0 0 16.546 -0.000 2:1.4 X D:Max +ve 0 0 18.050 0.000 Max -ve 0 0 16.546 -0.000 3:1.4 X D X 0.5 (ONE BAR):Max +ve 0 0 18.050 0.000 Max -ve 0 0 16.546 -0.000 25 26 16.000 1:LC1 - DEAD LOADMax +ve 0 0 Max -ve 0 0 16.000 -3.885 2:1.4 X D:Max +ve 0 0 Max -ve 0 0 16.000 -5.438 3:1.4 X D X 0.5 (ONE BAR):Max +ve 0 0 Max -ve 0 0 16.000 -2.719 26 30 16.000 1:LC1 - DEAD LOADMax +ve 0 0 Max -ve 0 0 16.000 -4.154 2:1.4 X D:Max +ve 0 0 Max -ve 0 0 16.000 -5.816 3:1.4 X D X 0.5 (ONE BAR):Max +ve 0 0 Max -ve 0 0 16.000 -2.908 27 31 16.000 1:LC1 - DEAD LOADMax +ve 0 0 Max -ve 0 0 0 -4.154 2:1.4 X D:Max +ve 0 0 Max -ve 0 0 0 -5.816 3:1.4 X D X 0.5 (ONE BAR):Max +ve 0 0 Max -ve 0 0 0 -2.908 28 32 22.290 1:LC1 - DEAD LOADMax +ve 0 0 Max -ve 0 0 0 -3.313 2:1.4 X D:Max +ve 0 0 Max -ve 0 0 0 -4.638 3:1.4 X D X 0.5 (ONE BAR):Max +ve 0 0 Max -ve 0 0 0 -2.319 29 33 16.000 1:LC1 - DEAD LOADMax +ve 0 0 Max -ve 0 0 16.000 -2.096 2:1.4 X D:Max +ve 0 0 Max -ve 0 0 16.000 -2.934 3:1.4 X D X 0.5 (ONE BAR):Max +ve 0 0 Max -ve 0 0 16.000 -1.467 30 34 16.000 1:LC1 - DEAD LOADMax +ve 0 0 Max -ve 0 0 16.000 -2.151 2:1.4 X D:Max +ve 0 0 Max -ve 0 0 16.000 -3.012 3:1.4 X D X 0.5 (ONE BAR):Max +ve 0 0 Max -ve 0 0 16.000 -1.506 31 35 16.000 1:LC1 - DEAD LOADMax +ve 0 0 Max -ve 0 0 0 -2.151 2:1.4 X D:Max +ve 0 0 Max -ve 0 0 0 -3.012 Software licensed to Schnabel Engineering, Inc CONNECTED User: Nathan Smith Job Title Client Job No Sheet No Rev Part Ref By Date Chd File Date/Time 18C21024.000 7 Lake Lure Dam Bulkhead Design City of Lake Lure NS 3/29/2022 CF 29-Mar-2022 16:18support bars.STD Print Time/Date: 29/03/2022 16:32 Print Run 7 of 12STAAD.Pro CONNECT Edition 22.07.00.160 Beam Maximum Moments Cont... Beam Node A Length (in) L/C d (in) Max My (kip-ft) d (in) Max Mz (kip-ft) 3:1.4 X D X 0.5 (ONE BAR):Max +ve 0 0 Max -ve 0 0 0 -1.506 32 36 22.290 1:LC1 - DEAD LOADMax +ve 0 0 22.290 0.359 Max -ve 0 0 0 -1.570 2:1.4 X D:Max +ve 0 0 22.290 0.503 Max -ve 0 0 0 -2.198 3:1.4 X D X 0.5 (ONE BAR):Max +ve 0 0 22.290 0.251 Max -ve 0 0 0 -1.099 Beam Maximum Axial Forces Distances to maxima are given from beam end A. Beam Node A Length (in) L/C d (in) Max Fx (kip) 1 1 16.000 1:LC1 - DEAD LOADMax +ve 0 2.333 Max -ve 2:1.4 X D:Max +ve 0 3.267 Max -ve 3:1.4 X D X 0.5 (ONE BAR):Max +ve 0 1.633 Max -ve 2 6 13.732 1:LC1 - DEAD LOADMax +ve 0 0.611 Max -ve 2:1.4 X D:Max +ve 0 0.855 Max -ve 3:1.4 X D X 0.5 (ONE BAR):Max +ve 0 0.428 Max -ve 3 1 27.406 1:LC1 - DEAD LOADMax +ve Max -ve 0 -3.789 2:1.4 X D:Max +ve Max -ve 0 -5.304 3:1.4 X D X 0.5 (ONE BAR):Max +ve Max -ve 0 -2.652 4 2 16.000 1:LC1 - DEAD LOADMax +ve 0 1.744 Max -ve 2:1.4 X D:Max +ve 0 2.442 Max -ve 3:1.4 X D X 0.5 (ONE BAR):Max +ve 0 1.221 Max -ve 5 3 16.000 1:LC1 - DEAD LOADMax +ve 0 1.121 Max -ve 2:1.4 X D:Max +ve 0 1.570 Max -ve 3:1.4 X D X 0.5 (ONE BAR):Max +ve 0 0.785 Max -ve 6 4 16.000 1:LC1 - DEAD LOADMax +ve 0 0.532 Max -ve 2:1.4 X D:Max +ve 0 0.745 Max -ve 3:1.4 X D X 0.5 (ONE BAR):Max +ve 0 0.373 Software licensed to Schnabel Engineering, Inc CONNECTED User: Nathan Smith Job Title Client Job No Sheet No Rev Part Ref By Date Chd File Date/Time 18C21024.000 8 Lake Lure Dam Bulkhead Design City of Lake Lure NS 3/29/2022 CF 29-Mar-2022 16:18support bars.STD Print Time/Date: 29/03/2022 16:32 Print Run 8 of 12STAAD.Pro CONNECT Edition 22.07.00.160 Beam Maximum Axial Forces Cont... Beam Node A Length (in) L/C d (in) Max Fx (kip) Max -ve 7 5 22.290 1:LC1 - DEAD LOADMax +ve Max -ve 0 -0.210 2:1.4 X D:Max +ve Max -ve 0 -0.294 3:1.4 X D X 0.5 (ONE BAR):Max +ve Max -ve 0 -0.147 8 9 16.000 1:LC1 - DEAD LOADMax +ve Max -ve 0 -1.464 2:1.4 X D:Max +ve Max -ve 0 -2.050 3:1.4 X D X 0.5 (ONE BAR):Max +ve Max -ve 0 -1.025 9 11 13.732 1:LC1 - DEAD LOADMax +ve 0 1.782 Max -ve 2:1.4 X D:Max +ve 0 2.495 Max -ve 3:1.4 X D X 0.5 (ONE BAR):Max +ve 0 1.248 Max -ve 10 9 24.413 1:LC1 - DEAD LOADMax +ve Max -ve 0 -2.837 2:1.4 X D:Max +ve Max -ve 0 -3.972 3:1.4 X D X 0.5 (ONE BAR):Max +ve Max -ve 0 -1.986 15 17 16.000 1:LC1 - DEAD LOADMax +ve 0 0.711 Max -ve 2:1.4 X D:Max +ve 0 0.996 Max -ve 3:1.4 X D X 0.5 (ONE BAR):Max +ve 0 0.498 Max -ve 16 19 13.732 1:LC1 - DEAD LOADMax +ve 0 2.741 Max -ve 2:1.4 X D:Max +ve 0 3.838 Max -ve 3:1.4 X D X 0.5 (ONE BAR):Max +ve 0 1.919 Max -ve 17 17 9.861 1:LC1 - DEAD LOADMax +ve Max -ve 0 -2.586 2:1.4 X D:Max +ve Max -ve 0 -3.621 3:1.4 X D X 0.5 (ONE BAR):Max +ve Max -ve 0 -1.811 18 18 16.000 1:LC1 - DEAD LOADMax +ve 0 1.067 Max -ve 2:1.4 X D:Max +ve 0 1.494 Max -ve 3:1.4 X D X 0.5 (ONE BAR):Max +ve 0 0.747 Max -ve Software licensed to Schnabel Engineering, Inc CONNECTED User: Nathan Smith Job Title Client Job No Sheet No Rev Part Ref By Date Chd File Date/Time 18C21024.000 9 Lake Lure Dam Bulkhead Design City of Lake Lure NS 3/29/2022 CF 29-Mar-2022 16:18support bars.STD Print Time/Date: 29/03/2022 16:32 Print Run 9 of 12STAAD.Pro CONNECT Edition 22.07.00.160 Beam Maximum Axial Forces Cont... Beam Node A Length (in) L/C d (in) Max Fx (kip) 19 22 16.000 1:LC1 - DEAD LOADMax +ve 0 1.444 Max -ve 2:1.4 X D:Max +ve 0 2.022 Max -ve 3:1.4 X D X 0.5 (ONE BAR):Max +ve 0 1.011 Max -ve 20 23 16.000 1:LC1 - DEAD LOADMax +ve 0 1.800 Max -ve 2:1.4 X D:Max +ve 0 2.520 Max -ve 3:1.4 X D X 0.5 (ONE BAR):Max +ve 0 1.260 Max -ve 21 24 22.290 1:LC1 - DEAD LOADMax +ve 0 2.249 Max -ve 2:1.4 X D:Max +ve 0 3.149 Max -ve 3:1.4 X D X 0.5 (ONE BAR):Max +ve 0 1.574 Max -ve 22 25 16.000 1:LC1 - DEAD LOADMax +ve 0 1.445 Max -ve 2:1.4 X D:Max +ve 0 2.023 Max -ve 3:1.4 X D X 0.5 (ONE BAR):Max +ve 0 1.012 Max -ve 23 27 13.732 1:LC1 - DEAD LOADMax +ve 0 2.211 Max -ve 2:1.4 X D:Max +ve 0 3.095 Max -ve 3:1.4 X D X 0.5 (ONE BAR):Max +ve 0 1.547 Max -ve 24 25 18.050 1:LC1 - DEAD LOADMax +ve Max -ve 0 -3.261 2:1.4 X D:Max +ve Max -ve 0 -4.565 3:1.4 X D X 0.5 (ONE BAR):Max +ve Max -ve 0 -2.283 25 26 16.000 1:LC1 - DEAD LOADMax +ve 0 1.445 Max -ve 2:1.4 X D:Max +ve 0 2.023 Max -ve 3:1.4 X D X 0.5 (ONE BAR):Max +ve 0 1.012 Max -ve 26 30 16.000 1:LC1 - DEAD LOADMax +ve 0 1.445 Max -ve 2:1.4 X D:Max +ve 0 2.023 Max -ve 3:1.4 X D X 0.5 (ONE BAR):Max +ve 0 1.012 Max -ve 27 31 16.000 1:LC1 - DEAD LOADMax +ve 0 1.445 Software licensed to Schnabel Engineering, Inc CONNECTED User: Nathan Smith Job Title Client Job No Sheet No Rev Part Ref By Date Chd File Date/Time 18C21024.000 10 Lake Lure Dam Bulkhead Design City of Lake Lure NS 3/29/2022 CF 29-Mar-2022 16:18support bars.STD Print Time/Date: 29/03/2022 16:32 Print Run 10 of 12STAAD.Pro CONNECT Edition 22.07.00.160 Beam Maximum Axial Forces Cont... Beam Node A Length (in) L/C d (in) Max Fx (kip) Max -ve 2:1.4 X D:Max +ve 0 2.023 Max -ve 3:1.4 X D X 0.5 (ONE BAR):Max +ve 0 1.012 Max -ve 28 32 22.290 1:LC1 - DEAD LOADMax +ve 0 1.445 Max -ve 2:1.4 X D:Max +ve 0 2.023 Max -ve 3:1.4 X D X 0.5 (ONE BAR):Max +ve 0 1.012 Max -ve 29 33 16.000 1:LC1 - DEAD LOADMax +ve Max -ve 0 -0.782 2:1.4 X D:Max +ve Max -ve 0 -1.095 3:1.4 X D X 0.5 (ONE BAR):Max +ve Max -ve 0 -0.547 30 34 16.000 1:LC1 - DEAD LOADMax +ve Max -ve 0 -0.060 2:1.4 X D:Max +ve Max -ve 0 -0.084 3:1.4 X D X 0.5 (ONE BAR):Max +ve Max -ve 0 -0.042 31 35 16.000 1:LC1 - DEAD LOADMax +ve 0 0.622 Max -ve 2:1.4 X D:Max +ve 0 0.871 Max -ve 3:1.4 X D X 0.5 (ONE BAR):Max +ve 0 0.436 Max -ve 32 36 22.290 1:LC1 - DEAD LOADMax +ve 0 1.482 Max -ve 2:1.4 X D:Max +ve 0 2.075 Max -ve 3:1.4 X D X 0.5 (ONE BAR):Max +ve 0 1.038 Max -ve Software licensed to Schnabel Engineering, Inc CONNECTED User: Nathan Smith Job Title Client Job No Sheet No Rev Part Ref By Date Chd File Date/Time 18C21024.000 11 Lake Lure Dam Bulkhead Design City of Lake Lure NS 3/29/2022 CF 29-Mar-2022 16:18support bars.STD Print Time/Date: 29/03/2022 16:32 Print Run 11 of 12STAAD.Pro CONNECT Edition 22.07.00.160 1.012 kip 2.046 kip -1.038 kip 0.727 kip 0.184 kip 1.801 kip -1.012 kip 1.177 kip 2.153 kip 1.548 kip 0.147 kip 0.752 kip -1.574 kip 1.139 kip -1.627 kip 1.139 kip Load 3 X Y Z Support Reactions (LC3) Reactions Horizontal Vertical Horizontal Moment Node L/C FX (kip) FY (kip) FZ (kip) MX (kip-ft) MY (kip-ft) MZ (kip-ft) 7 1:LC1 - DEAD LOAD 0.210 1.074 0 0 0 0 2:1.4 X D: 0.294 1.504 0 0 0 0 3:1.4 X D X 0.5 (ONE BAR): 0.147 0.752 0 0 0 0 8 1:LC1 - DEAD LOAD 3.076 2.212 0 0 0 0 2:1.4 X D: 4.306 3.097 0 0 0 0 3:1.4 X D X 0.5 (ONE BAR): 2.153 1.548 0 0 0 0 12 1:LC1 - DEAD LOAD-1.482 1.038 0 0 0 0 2:1.4 X D:-2.075 1.454 0 0 0 0 3:1.4 X D X 0.5 (ONE BAR):-1.038 0.727 0 0 0 0 13 1:LC1 - DEAD LOAD-2.324 1.627 0 0 0 0 2:1.4 X D:-3.254 2.278 0 0 0 0 3:1.4 X D X 0.5 (ONE BAR):-1.627 1.139 0 0 0 0 20 1:LC1 - DEAD LOAD-2.249 1.628 0 0 0 0 2:1.4 X D:-3.149 2.279 0 0 0 0 3:1.4 X D X 0.5 (ONE BAR):-1.574 1.139 0 0 0 0 Software licensed to Schnabel Engineering, Inc CONNECTED User: Nathan Smith Job Title Client Job No Sheet No Rev Part Ref By Date Chd File Date/Time 18C21024.000 12 Lake Lure Dam Bulkhead Design City of Lake Lure NS 3/29/2022 CF 29-Mar-2022 16:18support bars.STD Print Time/Date: 29/03/2022 16:32 Print Run 12 of 12STAAD.Pro CONNECT Edition 22.07.00.160 Reactions Cont... Horizontal Vertical Horizontal Moment Node L/C FX (kip) FY (kip) FZ (kip) MX (kip-ft) MY (kip-ft) MZ (kip-ft) 21 1:LC1 - DEAD LOAD 0.262 2.573 0 0 0 0 2:1.4 X D: 0.367 3.602 0 0 0 0 3:1.4 X D X 0.5 (ONE BAR): 0.184 1.801 0 0 0 0 28 1:LC1 - DEAD LOAD-1.445 1.681 0 0 0 0 2:1.4 X D:-2.023 2.353 0 0 0 0 3:1.4 X D X 0.5 (ONE BAR):-1.012 1.177 0 0 0 0 29 1:LC1 - DEAD LOAD 1.445 2.923 0 0 0 0 2:1.4 X D: 2.023 4.092 0 0 0 0 3:1.4 X D X 0.5 (ONE BAR): 1.012 2.046 0 0 0 0 February 3, 2023 Schnabel Engineering South. P.C. Project 18C21024.020 ©2023 All Rights Reserved APPENDIX D CONSTRUCTION DRAWINGS February 3, 2023 Schnabel Engineering South. P.C. Project 18C21024.020 ©2023 All Rights Reserved APPENDIX E TECHNICAL SPECIFICATIONS