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HomeMy WebLinkAbout00_20210202 • � a010• TIMMONS GROUP YOUR VISION ACHIEVE RO_ G URS. ona nce Sediment & Erosion Control Report Project: Carolina Sunrock LLC — Burlington North Asphalt Plant 12971 NC Hwy 62 Burlington, Caswell County, NC 27217 A = 25 REVISIONS: 06/09/2020 08/26/2020 10/30/2020 10/30/2020 — i Timmons Group 5410 Trinity Road, Suite 102 -. Raleigh,NC 27607 ■® (919) 8664939 rick.baker@timmons.com rIV Table of Contents r, 1. Sediment& Erosion Control Narrative a. Existing Conditions Description b. Erosion Control Summary c. NPDES/NCGO1 Plan 2. Sediment&Erosion Control Calculations a. Sediment Basin Design b. Temporary Diversion Ditch Sizing/Liner Calculations c. Rainfall Data i. NOAA IDF Table ii. NCDEQ Runoff Coefficient Table 3. Maps a. NRCS Soil Survey Map b. USGS Map c. NCDEQ DWR Surface Water Classification Map d. FEMA FIRM Maps Sediment & Erosion Control Narrative r�+n Sediment & Erosion Control Narrative Existing Conditions Description The proposed hot-mixed asphalt plant project is located at 12971 NC Hwy 62 in Burlington, Caswell County, NC. The parcel identification number is 0090 027. The site consists of �► approximately 84.2 acres of mainly agricultural fields and wooded land. Hughes Mill Creek runs along the northern property line. There are two existing pond within the site, one jurisdictional subject to a 70" vegetative buffer and one non jurisdictional. The existing soils are Helena sandy �*�► loam "HeB / HeC /HeD" in Hydrologic Soils Group "D," Chewacla loam "ChA" in Hydrologic Soils Group B/D, and Rowan-Poindexter complex "RxE" in Hydrologic Soils Group `B." The majority of the site drains north toward Hughes Mill Creek in the Stoney Creek Balance and Jordan �+ Lake watersheds. The surface water classification is WS-II-BW; HQW; NSW. FIRM Panels 3710990100J and 3710990000L indicate that the property does lie within a special flood hazard area; however, the project site does not. Erosion Control Summary This project proposes a hot-mixed asphalt and concrete plant facilities, a new building and associated parking. Approximately 22.2 acres of land will be disturbed. Four temporary sediment basins will be installed to treat the majority of the disturbed area. The remainder of the project site will be protected by silt fence, NCDET special silt fence, and silt fence stone outlets. At the completion of construction, one sediment basin will be converted to a permanent wet pond, while the others will be removed, and the site will be seeded to create a good stand of grass. Erosion control measures for this site have been designed in accordance with NCDEQ standards and specifications. NPDES/NCGO1 Plan The site has been designed to comply with NCDEQ NPDES Guidelines. A NCGOI permit will be obtained upon NCDEQ Erosion Control approval. Sediment & Erosion Control Calculations BASIN#1 Burlington North TIMMONS GROUP .. April Blye racmrraiac I orswn I 44089.002 Time of Concentration Calculation BASIN NAME: BASIN #1 Modified Rational Highest Elevation= 692 feel Inlet Elevation= 668 feet Difference= 24 feel .. Travel Length= 526 feel Equation 2.3 Klrpich Equation Tc = LL/�o.)85 126 Where : Tc =Time of Concentration(min) H =Height of the most remote point on the watershed above the outlet(ft) L =Length of flow from the most remote point on the watershed to the outlet(fl) (Civil Engineering,Vol. 10, No. 6,June 1940,p.362.) A graph of the Kirpich Equation also appears in Figure 2.4. _ Tc= 3.19 min Tc= 5 min Intensity 25 year= 7.67 in/hr C= 0.45 Disturbed Area= 2.59 acres Additional Drainage Area= 0.00 acres .. Total Drainage Area= 2.59 acres Equation 2.1 Rational Equation Q = C I A Where: Q = Peak flow from the drainage area (cfs) C = Coefficient of runoff(dimensionless) I = Rainfall intensity for a given time to peak (in/hr) A = Drainage area (acres) Q25= 8.94 cfs 'RED IS USER INPUT r, LATEST REVISION: 10/29/2020 4:01 PM BASIN k1 Burlington North TIMMONS GROUP April Blye e 44089.002 Sediment Basin Design Disturbed Area: 2.59 ac Additional Drainage Area: 0.00 ac Total Drainage Area: 2.59 so Runoff Coeff[Cc]: 0.45 25-yr Rainfall Intensity[I]: 7.67 in/hr 25-yr Discharge[025]: 8.94 eta 4662 Required Volume ft' (Disturbed Area x 1800 cf/ac) 2905 Required Surface Area fit' (025 x 325) 38.1 Suggested Width it 76.2 Suggested Length ft 40 Width at Surface Area(ft) 80 Length at Surface Area(ft) LAN Ratio= 2.0 Okay 3 Side Slope Ratio ZA 2 Depth(ft) 28 Target Bottom Width(ft) 68 Target Bottom Length (ft) 1904 Target Bottom Area(fta) 5056 Target Volume(ft) Okay 3200 Target Surface Area(f?) Okay 5512 Provided Volume(ft ) 3456 Provided Surface Area ft' .. Skimmer S¢e 10 Emergency Spillway Width (ft) Inches - 0.5 Depth of Flow(ft) 1.5 10.6 Spillway Capacity lets) Okay 2 2.5 1.5 Skimmer Size(in) 3 0.125 Head on Skimmer(ft) 4 1.25 Orifice Size(1/4 inch increments) 5 3.65 Dewatering Time(days) 6 Suggest about 3 days 8 r . 666.00 2089 0.00 0 0 667.00 2739 1.00 2414 2414 668.00 3456 2.00 3098 5512 Tap of Embankment Elevation: 669.00 ft Emergency Spillway Elevation: 668.00 ft Embankment Width: 5 ft Bottom Elevation: 666.00 ft Sediment Storage Elevation: 665.00 ft r. r. LATEST REVISION: 1 0/2 9120 2 0 4:01 PM BASIN#2 Burlington North TIMMONS GROUP EMEM= April Blye I .rceenwor 44089.002 Time of Concentration Calculation BASIN NAME: BASIN#2 Modified Rational Highest Elevation = 692 feet Inlet Elevation= 638 feet Difference= 54 feet — Travel Length= 1,385 feet 3 Equation 2-3 Kirpleh Equation Te = IH 128 0"a5 Whom , Tc =Time of Concentration(min) — H =Height of the most remote point on the watershed above the outlet(ft) L =Length of flow from the most remote point on the watershed to the outlet(ft) (Civil Engineering,Vol. 10, No. 6,June 1940,p.362.) A graph of the Kirpich Equation also appears in Figure 2.4. Tc= 7.15 min Tc= 5 min - Intensity 25 year= 7.67 in/hr — C = 0.45 Disturbed Area= 10.48 acres Additional Drainage Area= 0.00 acres - Total Drainage Area= 10.48 acres Equation 2.1 Rational Equation Q = C I A Where: Q = Peak flow from the drainage area (cfs) C = Coefficient of runoff (dimensionless) I = Rainfall intensity for a given time to peak (in/hr) A = Drainage area (acres) — Q25= 36.17 cfs 'RED IS USER INPUT LATEST REVISION: 10/29/20204:11 PM BASN Ip� ••e�•� � W TIMMONS GROUP April Blvd - '-' 44089.002 .. Sediment Basin Design Disturbed Area: 1048 ac Additional Donarge Area'. Do.. Total Dra'urage Area: 1048 ec Runoff Coal(Cc(: 045 25p Rainfall Intensity ill: T.67 INbr 25-yr Discharge[O251. 36.17 cfs 188U Required Volumeftt (Dislurbed Area x 1800 case) 15735 Required Surface Area fi' (O25x435) 88.7 Suggested Width it ^ 177 4 Suggested Length 11 TO Vi llt at Surface Area(it) 322 Length at Surface Area(it) LMr Ratio=4.6 Okay 3 Side Slope Raba Z I 2 Depth 01) 58 Target Bream With,(ft) 310 Target Boeom Length(flu 17980 Target Boeom Area(ftL 40422 Target Volume Oft') Okay sis 22540 Target Surface Area In) Okay 4y899 Penal Volume(tt� 26318 vmwded Surface Area Ifl 1 Me 45 Emergency Spillway Width OC 0.5 Depth of Flow OT) 47.7 Spillway Capadty icf5) only 2.5 Skimmer Si.(in) 0208 Head an Skimmer(Bi 2.25 Orifice St.(114 inch increments) 31 Deweterng Time(days) Suggest about 3 do, 636.00 21509 r 0.00 0 0 63700 23835 1.00 22672 22672 _ 630.00 26218 200 25027 476W Tap of Embankment Elevation: 64000 It Emergent'SpilM-ay Elevators: 09.DO a Embankment Widlb: 10 It Riser Elevation: 63800 It Bottom Elevation'. 636.00 ft Sediment Storage Elevation: 635.00 it 12 Banal Size(In) 61 Banal Length ILF) 635.5 Upstream Bartel Invert Elevation fiat Downstream Barrel Invert EleW6on 1.38% Slope of Bawl(%) HOPE Bartel Pipe Material CMP Riser Neutral 18 R'rser Sae(in) Okay (Rise=1.5 Bezel Size) IS Riser Diameter On 3.0 Height III) Area Riser x Ht Riser x Density Water x Safety Factor r 380 Buoyant F.((line) (.26XWXD1ametm)2 x (Height) x624pcfxl.15FS 25 Volume Retained!OF) Buoyant force l Density Of Comande(150 eafl 1.6 Square Root of Volume Ul) (Assume 1 it thick concrete Rental 2.0 Length of Cpocreue Fasting 2.0 Width of Concrete Foodng 1.0 Height of Concrete Footing(Thickness) 4 Volume Provided(cft 'RED IS U SER INPUT LATEST REVISION:IOQM0204:11 PM BASIN#® ` Qc c Burlington TIMMONS GROUP ' April Blye 44089.002 Time of Concentration Calculation BASIN NAME: BASIN#3 Modified Rational Highest Elevation= 692 feet Inlet Elevation= 658 feel Difference= 34 feet Travel Length= 700 feet Equation 2.3 Kirpiah Equation Tc = L( 3l HIOJ85 128 Where : Tc =Time of Concentration(min) H =Height of the most remote point on the watershed above the outlet(ft) L =Length of flow from the most remote point an the watershed to the outlet(ft) (Civil Engineering,Vol. 10, No. 6,June 1940,p.362.) A graph of the Kirpich Equation also appears in Figure 2.4. _ Tc= 3.88 min Tc= 5 min Intensity 25 year= 7.67 in/hr C= 0.45 Disturbed Area= 3.90 acres Additional Drainage Area= 0.00 acres .— Total Drainage Area= 3.90 acres Equation 2.1 Rational Equation Q = C I A Where: O = Peak flow from the drainage area Ids) ._ C = Coefficient of runoff(dimensionless) I = Rainfall intensity for a given time to peak (in/hr) A = Drainage area (acres) Q25= 13.46 cfs 'RED IS USER INPUT LATEST REVISION: 10/29/2020 4:24 PM _ � • cCta, .� BASIN U e t If Burlington North TIMMONS GROUP April Eye 44089.002 Sediment Basin Design a Disturbed Area: 3.90 ac Additional Drainage Area: 0.00 ac Total Drainage Area: 3.90 ac Runoff Cceff[Cc]: 0.45 25-yr Rainfall Intensity(1): 7.67 Whir 25-yr Discharge[D25]: 13.46 cfs 7020 Required Volume W (Disturbed Area x 1800 cf/ac) 4375 Required Surface Area fly (025 x 325) 46.8 Suggested Width it 93.5 Suggested Length ft 48 Width at Surface Area(it) 96 Length at Surface Area(it) UW Ratio= 2.0 Okay �+ 3 Side Slope Ratio ZA 2 Depth(it) 36 Target Bottom Width(ft) 84 Target Bottom Length(ft) 3024 Target Bottom Area(ftz) 7584 Target Volume(ft) Okay 4608 Target Surface Area III) Okay 7596 Provided Volume(ft) 4608 Provided Surface Area fl' Skimmer Size 15 Emergency Spillway Width(ft) Inches 0.5 Depth of Flow(it) 1.5 15.9 Spillway Capacity(cfs) Okay 2 �. 2.5 2 Skimmer Sae(in) 3 0.167 Head on Skimmer(0) 4 1.5 Orifice Size(114 inch increments) 5 3.31 Dewatedng Time(days) 6 Suggest about 3 days 8 _ r 656.00 3024 0.00 0 0 , 65700 3780 1.00 3402 3402 658.00 4600 2.00 4194 7596 Top of Embankment Elevation: 659.00 it Emergency Spillway Elevation: 658.00 ft Embankment Width: 5 it Bottom Elevation: 656.00 ft Sediment Storage Elevation: 655.00 ft LATEST REVISION: 10/29/2020 4:24 PM BASIN #4 0 Burlington North TIMMONS GROUP - April Blye i orvcr 1 rzcHHowcv 44089.002 Time of Concentration Calculation BASIN NAME: BASIN#4 Modified Rational Highest Elevation = 692 feet Inlet Elevation = 674 feet Difference = 18 feet Travel Length = 536 feet Equation 23 Kirpieh Equation Tc — 1280ae0 Where : Tc =Time of Concentration(min) H =Height of the most remote point on the watershed above the outlet(ft) L =Length of flow from the most remote point on the watershed to the outlet(fl) (Civil Engineering,Vol. 10, No.6,June 1940,p.362.) A graph of the Kirpich Equation also appears in Figure 2.4. _ Tc= 3.64 min To= 5 min Intensity 25 year= 7.67 in/hr C= 0.45 Disturbed Area= 1.33 acres Additional Drainage Area= 0.00 acres Total Drainage Area= 1.33 acres Equation 2.1 Rational Equation Q = C I A r Where: Q = Peak flow from the drainage area (cfs) C = Coefficient of runoff(dimensionless) I = Rainfall intensity for a given time to peak (in/hr) A = Drainage area (acres) Q25= 4.59 cfs `RED 15 USER INPUT LATEST REVISION: 10/29/20204:28 PM BASIN H4 • Burlington North r®-- TIMMONS GROUP April Blye 44089.002 Sediment Basin Design Basin Name: BASIN#4 TYPE OF BASIN: Disturbed Area: 1.33 ac Additional Drainage Area: 0.00 ac Total Drainage Area: 1.33 ac Runoff Coeff(Cc]: 0.45 25-yr Rainfall Intensity(I]: 7.67 in/hr 25-yr Discharge(Q251: 4.59 cfs 2394 Required Volume ft' (Disturbed Area x 1800 cf/ac) 1492 Required Surface Area ftz (Q25 x 325) 27.3 Suggested Width It 54.6 Suggested Length ft - 30 Width at Surface Area(ft) 60 Length at Surface Area(ft) LAN Ratio= 2.0 Okay 3 Side Slope Ratio Z:1 2 Depth(ft) 18 Target Bottom Width(ft) 48 Target Bottom Length(ft) 864 Target Bottom Area(ftz) 2616 Target Volume(ft) Okay 1800 Target Surface Area(ft') Okay 3748 Provided Volume(ft ) 2450 Provided Surface Area(ft' Skimmer Size 5 Emergency Spillway Width(ft) Inches 0.5 Depth of Flow(ft) 1.5 5.3 Spillway Capacity(cfs) Okay 2 2.5 1.5 Skimmer Size(in) 3 0.125 Head on Skimmer(ft) - 4 1 Orifice Size(1/4 inch increments) 5 2.93 Dewatering Time(days) 6 Suggest about 3 days 8 672.00 1334 r 0.00 0 0 673.00 1856 1.00 1595 1595 674.00 2450 2.00 2153 3748 Top of Embankment Elevation: 675.00 it Emergency Spillway Elevation: 674.00 it Embankment Width: 5 ft Bottom Elevation: 672.00 It Sediment Storage Elevation: 671.00 ft LATEST REVISION: 10/29/2020 4:28 PM Diversion Ditch M1A 1 Burlington North April Bl®' TIMMONS GROUP ®dd06s.o0z se Drainage Ditch Design (Velocity Constraint) TEMPORARYDIVERSION r Diversion Ditch This wodcsheet is designed to determine channel lining based on flow and ditch geometry(base width,side slope,8 channel slope).This program determines depth of flow,velocity and tractive farce assuming n=0.03 for grass or np rap in can be varied if desired).(Vary depth until z actual equals z required;v S t will be conecb select appropriate lining based on tractive force) Area(A)= x 0.76 (Acres) Cost(C)= 0.45 (Dimensionless) Inte.(1)= 7.67 (inlhr) _ Flow(O,o)= 2.6 (cfs) Line channel with: 6 'dp-rep (Assume 6'even it using grass) Manning n= 0.030 (Dimensionless) Ditch Length= 170 LF _ Slope= 0.012 (Nft) Highest Elevation= 671 Z Required 0.49 Ratio Lowest Elevation= 669 Side Slope(M)= 3 :1 Flow Depth(Y)= 0.70 It 8.4 in Bottom Width(B)= 0.00 It 0.0 in Freeboard= 0.50 it 6.0 in ses T=Y%DxS Y=Weight of water(62.4 LBICUFT) T= 0.51 LB/SF D=Depth of flaw in channel(ft) S=Slope of channel(0ttt) Jute Net 0.45 Cured Mat 1.65 S75 1.65 Class A(4"@WTHK) 2.00 S150 1,75 ses Class B(8"@18'THK) 3.50 SC150 2.10 Class I(12"@22'THK) 5.00 C125 2,25 Class 11 18• 30'THK 7.50 P300 6.00 NBwA= 1.47 SF New P= 4.43 Wetted perimeter NewR= 0.33 Hydraulic radius Z Actual= 0.70 Must be greater than z required=> 0.49 Okay New V= 2.58 fps Liner: North American Green,S75 1.55 LBISF>0.52 LB/SF Okay Top Width=7.2 ft Min.Ditch Depth=1.2It ___...._.,__. J Flow Depth(Y)=0.7 it _ Bottom Width(B)=0 It Min.Ditch Depth fl Bottom Width it r Flow Depth ft Top Width ft Sitle Slo e 1.20 1 0.00 1 0.70 17.2 3:1 North American Green S75 'RED 15 USER INPUT ses LATEST REVISION:10/2912020 2:56 PM .••..,• � • Burlington North - . _ April Bl� TIMMONS GROUP 4408s002 {r y NfEq N4 I N I T _ Ditch Outlet Protection (NYDOT Method) Ditch Name: Diversion Ditch #1 A - Velocity= 2.58 fps From Fig.8.06.c: ZONE= 1 Top Width= 7.2 it Ditch Area= 1.47 sf Rip Rap Class= A Equivalent Pipe Diameter= 16.42 in Apron Thickness= 12 in — Equivalent Pipe Diameter= 18 in Apron Length= 6.0 R Apron Width=Top Width.= 7.2 ft = From Fig.8.06.e: 3 L to - - �1 - - LATEST REVISION:10292020 2:56 PM Diversion Ditch#iB ' APrilelye®' TIMMONS GROUP ' Drainage Ditch Design (Velocity Constraint) TEMPORARY DIVERSION This vmrksheel is designed to determine channel lining based on flow and ditch geometry(base width,side r. slope,&channel slope).This program determines depth of flow,velocity and tractive force assuming n=0.03 for grass or np rep in can be vained if desired),(Vary depth until z actual equals z required;v&I will be correct;select appropriate lining based on tractive force) '• Ares(A)= r 1.00 (Acres) Coat.(C)= 0.45 (Dimensionless) Inle.(I)= 7.67 (in/hr) Flow(Die)= 3.5 (cfs) Line channel with: 0 -nip-rap (Assume 6-even if using grass) Manning n= 0.030 (Dimensionless) Ditch Length= 711 LF Slope= 0.031 (Rift) Highest Elevation= 692 Z Regeirad 0.40 Ratio Lowest Elevation= 670 Side Slope(M)= 3 :1 III is. Flow Depth(V)= 0.60 R 7.2 in Bottom Width(B)= 0.00 R 0.0 In Freeboard= 0.50 R 6.0 in T=Y%D%S y=Weight of water(62.4 LB/CUFT) T= 1.16 LB/SF D=Depth of flow in channel(it) S=Slope of channel(ftRl) Jule Net 0.45 Cured Mal 1.55 S75 1.55 Class A(4'@9-rHK) 2.00 S150 1.75 Class B(8'Q187HK) 3.50 SC1S0 2.10 Class I(1T@227HK) 5.00 C125 2.25 Class ll 18' 3D'THK 7.50 P300 8.00 New A= 1.08 SF NewP= 379 Wetted perimeter New R= 0,28 Hydraulic radius ZActual= 0.47 Must be greater than z required=> 0.40 Okay NewV= 3.78 fps Liner. North American Green,S75 1.55 LBISF>1.16 LB/SF Okay Top Width=Be ith=Min.Ditch DePl 1.1 It __..._._.,..... Al Flow Depth(V)=0.6it ..................... ........ Bottom Width(B)=0 it Min.Dilch Depth fl Bottom Width R r Flow Depth R Top Width fl Side Sla e 1.10 1 0.00 1 0160 1 6.6 1 3:1 North American Green,S75 'RED IS USER INPUT Irrl LATEST REVISION: 10/29/2020 102 PM Burlington North TIMMONS GROUP April Blye 44089.002 Ditch Outlet Protection (NYDOT Method) DitchDitch Name: Diversion Velocity= 3.78 fps From Fig.8.06.c: ZONE= 1 Top Width= 6.6 It Ditch Area= 1.08 at Rip Rap Class= A Equivalent Pipe Diameter= 14.07 in Apron Thickness= 12 in Equivalent Pipe Diameter= 15 in Apron Length= 5.0 It Apron Width=Top Width= 6.6 If = From Fig.8.06.e: x ns nr LATEST REVISION:1MV2020 3:02 PM •••-•. Diversion Ditch p1G Burlington North TIMMONS GROUP "®_ ' April Blye 44089.002 Drainage Ditch Design (Velocity Constraint) This armament is designed to promise channel lining based on flow and ditch geometry(base width,side _ slope,&channel slope).This program determines depth of now,velocity and tractive force assuming n=0.03 for grass or rip rap(n can be varied if desired).(Vary depth until z actual equals z required;v&t wall be correct;select appropriate lining based on tractive force) _ Area(A)= r 0.55 (Acres) Coef.(C)= 0.45 (Dimensionless) Inte.(I)= 7.67 (in/hr) _ Flow(Oro)= 1.9 (cfs) Line channel with: 6 "rip-rap (Assume 6"even if using grass) Manning n= 0.030 (Dimensionless) Ditch Length= 74 LF Slope= 0.020 (ft/ft) Highest Elevation= 671.5 Z Required 0.27 Ratio Lowest Elevation= 670 Side Slope(M)= 3 :1 Flow Depth(Y)= 0.50 R 6.0 in Bottom Width(B)= 0.00 R 0.0 in Freeboard= 0.50 It 6.0 in T=YxD%S V=Weight of water(62.4 LB/CUFT) T= 0.63 LBISF D=Depth of flow in channel(it) S=Slope of channel(0/ft) Jule Net 0.45 Curled Mat 1,55 F3.0 1.55 Class A(4'@97HK) 2.D0 1.75 _ Class B(W@18"THK) 3S0 2.10 Class I(12"@227HK) 500 2.25 Class It 18" 3PTIiK 7.50 8.00 _ New A= 0.75 SF NmsFi 3.16 Wetted,amna, er New R= 0.24 Hydmulicmdius Z Actual= 0.29 Must be greaterthan z required=> 0.27 Okay New V= 271 fps Liner North American Green,S75 1.55 LBISF>0.64 LB/SF Okay Top Width=6R _ Min.Ditch Depth,=1 it ... 3 Flow Depth ........................ ............. _ Bottom Width(B)=0 It Min.Ditch Depth fl Bottom Width II r Flow Depth ft Top Width fl Side Slope 1.00 1 0,00 0.50 6 31 North American Green,S75 'RED IS USER INPUT LATEST REVISION: 10/2912020 3:06 PM .,...�� Budinglon North April BlyApril TIMMONS GROUP . _ Ditch Outlet Protection (NYDOT Method) Ditch Velocity= 2.71 fps From Fig.8.06.c: ZONE= 1 Top Width= 6 ft Ditch Area= 0.75 sf Rip Rap Class= A Equivalent Pipe Diameter= 11.73 in Apron Thickness= 12 in Equivalent Pipe Diameter= 12 in Apron Length= 4.0 ft Apron Width=Top Width.= 6.0 ft = From Fig.8.06.e: z �e ym r LATEST REVISION:10292020 3:06 PM ...% Diversion Ditch#to ••0 Burlington North : April BIy TIMMONS GROUP Drainage Ditch Design (Velocity Constraint) TEMPORARY DIVERSION DITCH: Diversion Ditch#1D This worksheel is designed to determine channel lining based on flaw and ditch geometry(base width,side slope,S channel slope).This program determines depth of flow,velocity and tractive force assuming n=0.03 for grass or no rap in can be vaned if desired).(Vary depth until z actual equals z required;v 8 twill be correct;select appropriate lining based on tractive farce) Area(A) 0.02 (Acres) Cost C)= 0.45 (Dimensionless) Ints.(I)= 7.67 (inlhr) Flow 010)= 0.1 (cfs) Line channel with: 6 'np- p (Assume 6'even if using grass) Manning n= 0.030 (Dimensionless) Ditch Length= 67 LF Slope= 0.067 (BRt) Highest Elevation= 674.5 Z Required 0.01 Ratio Lowest Elevation= 670 Side Slope(M)= 3 :1 Flow Depth(y)_ ,0.20 It 2.4 in Bottom Width(B)= 0.00 It 0.0 in Freeboard= 0.50 It 6.0 in T=yxD%S y=Weight of water(62.4 LBICUFT) T= 0.84 LBISF D=Depth of flow in channel(it) S=Slope of channel(Nft) Jute Net 0.45 Curled Mat 1.55 S75 1.55 Class A(4"@9"THK) 2.00 also 1.75 Class B(8'@18'THK) 3.50 SC150 2.10 Class I(12'9@22'THK) S00 C125 2.25 Class II 18' 30THK Z5D P300 8.00 r. New A= 0.12 SF New P= 1.26 Wetted perimeter New R= 0.09 Hydraulic radius Z Aclval= 0.02 Must be greater than z required=> 0.01 Okay New V= 2,68 Its 011 Liner North American Green,S75 1.55 LBISF>0.84 LBISF Okay Top Width=4.2 ft Min.Ditch Death=01 3 Flow Depth(y)=0.2It 1 Bottom Width S)=0 It Min.Ditch Depth ft Bottom Width ft T Flow Depth ft Top Width ft Side Slope 0.70 1 a.00 1 0.20 4.2 1 3:1 North American Green,S]5 'RED IS USER INPUT LATEST REVISION:1029/2020 3:08 PM _ • � €ri Buriington North TIMMONS GROUP April Blye a„.,„<< Ditch Outlet Protection (NYDOT Method) ■ Diversion ■ ■ Velocity= 2.68 fps From Fig.8.06.c: ZONE= 1 Top Width= 4.2 It - Ditch Area= 0.12 sf Rip Rap Class= A Equivalent Pipe Diameter= 4.69 in Apron Thickness= 12 in Equivalent Pipe Diameter= 8 in Apron Length= 2.7 it Apron Width=Top Width.= 4.2 it = From Fig.8.06.e: i - LATEST REVISION:IMS/2020 3:OB PM Diversion® ••0 Burlington April Bly®' TIMMONS GROUP Drainage Ditch Design (Velocity Constraint) TEMPORARYDIVERSION r Diversion Ditch This worksheet is designed to determine channel lining based on flow and ditch geometry(base width,side slope,8 channel slope).This program determines depth of flow,velocity and tractive force assuming n=0.03 for grass or rip rap in can be varied if desired).(Vary depth until z actual equals z required;v 8 twill be correct,select appropriate lining based on tractive farce) Area(A) • 4.51 (Acres) Coef.(C)= 0.45 (Dimensionless) Inte.(1)= 7.67 (vi Fla.(O,o)= 15.6 (cfs) Line channel with: 6 -dp-rap (Assume 6'even if using grass) Manning n= 0.030 (Dimensionless) Ditch Length= 952 LF Slope= 0.032 (ft/ft) Highest Elevation= 676 Z Required= 1.77 Ratio Lowest Elevation= 646 Side Slope IM)= 3 1 r Flow Depth(Y)= 0.90it 10.8 in Bottom Width(8)= 1.00 It 12.0 in Freeboard= 0.50 it 6.0 in T=YxMS Y=Weight of water(62.4 LBICUFT) T= 1 77 LBISF D=Depth of flow in channel(fit) S=Slope of channel(ftlll) Jute Net 045 Curled Mat 1,55 S75 1.55 Class A(4'@91HK) 2.00 5150 1.75 Class B(8-@18-THK) 3.50 SC150 2A0 Class I(12'@22'THK) 5.00 C125 2.25 Class II 18' 30'THK 7.50 P300 8.00 New A= 3.33 SF New P= 6.69 Welled perimeter New R= 0.50 Hydraulic radius Z Actual= 2.09 Must be greater than z requiri 1.77 Okay New V= 5.54 fps Liner North American Green,SC150 2.10 LBISF 1.77 LBISF Okay Top Width=g.4 fl Min.Ditch DepN=1.4 fit 3 Flow Depth i1 p (Y)=0.9ft _...... .-- Bodeen Width(8)=1 it Min.Ditch Depth 1t Baftom Width ft r Flow Depth ft Top Width ft Side Slope w• 1.40 1.00 0.90 9 4 3:1 North American Green SC150 'RED IS USER INPUT LATEST REVISION: 10/29/40204:34 PM a Burlington North A TIMMONS GROUP monFore3� April Blye „c i or:rc„ I 44069.002 Ditch Outlet Protection (NYDOT Method) Ditch Name: Diversion Ditch #2A Velocity= 5.54 fps From Fig.8.06.c: ZONE= 2 Top Width= 9.4 ft Ditch Area= 3.33 at Rip Rap Class= B Equivalent Pipe Diameter= 24.71 in Apron Thickness= 18 in Equivalent Pipe Diameter= 30 in Apron Length= 15.0 ft Apron Width Top Width= 9.4 ft From Fig.8.06.e: s m r r LATEST REVISION:10nW2020 4:34 PM Diversion Ditch#213D •.••�•�� EV,Burli® ®' °` TIMMONS GROUP April Blye o..�. -...1-1 44089.002 Drainage Ditch Design (Velocity Constraint) TEMPORARY DIVERSION DITCH: Diversion Ditch#2B This milesheel is designed W determine channel lining based on flaw and ditch geometry(base with,side slope,8 channel slope).This program determines depth of flow,velocity and tractive force assuming n=0.03 for grass or rip rap(n can be vaned if desired).(Vary depth until z actual equals z required;v 8 twill be conecC select appropriate lining based on tractive force) Area(A) 4.07 (Acres) Coal.(C)= 0.45 (Dimensionless) Inte.(1)= 7.67 (m iQ H.(Qn)= 14.0 (cfs) Line channel wilh: 6-np.mp (Assume 6'even if using gross) Manning n= 0.030 (Dimensionless) Ditch Length= 831 LF Slope= D019 (tuft) Highest Elevation= 662 Z Required 2.04 Ratio Lowest Elevation= 646 Side Slope(M)= 3 '.1 Flow Depth(Y)= 0.90 it 10.8 in Bottom Width(B)= 1.00 it 12.0 in Freeboard= 0.50 ft 6.0 in T=YxDxS Y=Weight of water(62.4 LB/CUFT) T= 1.08 LB/SF D=Depth of flow in channel(ft) S=Slope of channel(ft/ft) Jute Net 0.45 Cured Mat 1S5 S75 1.55 Class A(4'@97HK) 2.00 S150 1]5 Class 8(8'@18'THK) 3,50 SC150 2.10 Class I(12'@227HK) 5.00 C125 2.25 Class 11 18' 30'THK 7.50 P300 8.00 NewA= 3,33 SF NBwP= 6.69 Welted perimeter N.wR= 0.50 Hydraulic radius Z Actual= 2.09 Must be greater than z required=> 2.04 Okay New V= 41S3 fps Liner: North American Green,S75 1.55 LB/SF>1.09LB/SF Okay r-_ -Top Width=94 f1 Plh Min. Ditch pe =l.4ft _................. 3 i1 Flow Depth(Y)=0.9ft _c...._.._.-_.. .._._.....__.._---- Bottom Width(8)= 1 It Min.Ditch Depth ft Bottom Width ft r Flow De th ft To Width fl Side Slow 1.40 1.00 1 0.90 1 9.4 3:1 r North Amin can Green S75 'RED IS USER INPUT LATEST REVISION: 10/29/2020 4:37 PM r •��;;S• � Burlington North TIMMONS GROUP ENKEEMEMME April Blye I I Tr�...1oo. 44089.002 Ditch Outlet Protection (NYDOT Method) .. r Diversion-Ditch Velocity= 4.33 fps From Fig.8.06.c: ZONE= 2 r Top Width= 9.4 fl Ditch Area= 3.33 at Rip Rap Class= B Equivalent Pipe Diameter= 24.71 in Apron Thickness= 18 in r Equivalent Pipe Diameter= 30 in Apron Length= 15.0 fl Apron Width=Top Width.= 9.4 it From Fig.8.06.e: r r m r r r r r LATEST REVISION:1/19=20 4:37 PM •'•� Diversion Ditch 112G •�••� � Burlin ton North April Blye®' TIMMONS GROUP Drainage Ditch Design (Velocity Constraint) TEMPORARY This worksheel is designed to determine channel lining based on now and ditch geometry(base width,side slope.8 channel slope).This program determines depth of now,velocity and tractive farce assuming n=0.03 for grass or rip rap in can be varied If desired).(Vary depth until z actual equals z required,v 8l will be correct,select appropriate lining based on ba sive farce) Area(A) r 0.06 (Acres) CeeL(C)= 0.45 (Dimensionless) Inte.(1)= 7.67 (infhr) Flow(O,r) 0.2 (cfs) as Line channel with: 6 'nic-rap (Assume 6•even if using grass) Manning n= 0.030 (Dimensionless) Ditch Length= 129 LF Slope= 0.0S4 yuft) Highest Elevation= 647 Z Required= 0.02 Ratio Lowest Elevation= 640 Side Slope(M)= 3 :1 as Flaw Depth(Y)= 0.20 It 2.4 in Bottom Width(B)= 0.00 It 0.0 in Freeboard= 0.50 ft 6.0 in T=YaDZS Y=Weight of water(62.4 LB/CUFr) T= 0.6B LBISF D=Depth of now in channel(ft) S=Slope of channel(fV t) as 7,olNell 045Me155S75 1.55 (d•�9'THK) 2.005150 1]5 THK) 3.50SC750 2.10 as 2'�22'fHK) 5.000725 2.25 18' 30•THK 7.50 P300 8.00 New A= 0.12 SF New P= 1.26 Welted perimeter New R= 0.09 Hydraulic radius Z Actual= 0.02 Must be greater than z required=> 0.02 Okay New V= 2.41 fps Liner North American Green,S75 1.55 LB/SF 0.68 LS/SF Okay Top Wldth=4.2 ft Min.Ditch Depth,=0.7 It 9 Flow Y)Depth 0.2 P _ 8 Bottom Width(8)=0 a Min.Ditch Depth 11 Bottom Width n r Flow Depth(ft) Top Width(ft) !Side Slo e 0.70 it 0.00 1 0.20 it 4.2 1 31 North Amencan Green S75 'RED IS USER INPUT LATEST REVISION: 10129120204:42 PM .•--••. n • � � Burlington North April El TIMMONS GROUP - v I0 IT Ditch Outlet Protection (NYDOT Method) Ditch Name: Diversion Ditch #2C Velocity= 2.41 fps From Fig.8.06.c: ZONE= 1 Top Width= 4.2 ft Ditch Area= 0.12 at Rip Rap Class= A Equivalent Pipe Diameter= 4.69 in Apron Thickness= 12 in Equivalent Pipe Diameter= 8 in Apron Length= 2.7 ft Apron Width=Top Width.= 4.2 ft _ From Fig.8.0l x Lm LF LATEST REVISION:1012912020 4:42 PM Diversion Ditch Y213 •_• 0 Burim ton North Ill April Mr M3154fill TIMMONS GROUP 44089.001 r Drainage Ditch Design (Velocity Constraint) TEMPORARYDIVERSION r Diversion Ditch#2D This worksh ret is designed to determine channel lining based on flow and ditch geometry(base width,side slope,8 channel slope).This program determines depth of flow,velocity and tractive farce assuming r n=0.03 for grass or np rap in can be varied if desired).(Vary depth until z actual equals z required;v 8 t will be correct;select appropriate lining based on tractive force) r Area(A)= 0.31 (Acres) Coat.(C)= 0.45 (Dimensionless) Inte.(1)= 7.67 (inMr) Flow(O,e)= 1.1 (cfs) r Line channel with: 6 'rip-raft (Assume 6'even if using grass) Manning n= 0.030 (Dimensionless) Ditch Length= 226 LF Slope= 0.058 (flfll) Highest Elevation= 656 Z Required= 0.09 Ratio Lowest Elevation= 643 Side Slope(M)= 3 1 r Flow Depth(Y)= 0.40 it 4.8 in Bottom Width(8)= 0.00 8 0.0 in Freeboard= 0.50 it 6.0 in r T=YxDxS Y=Weight of water(62.4 LBICUFT) T= 1,44 LBISF D=Depth of flow in channel(it) S=Slope of channel(Nfl) r Jute Net 0.45 Cudetl Mat 1.55 S75 1.55 Class A(4•®9"THK) 2.00 5750 1.75 Class 8(8'®18-THK) 3.50 SC750 2.10 r Class it 2'�22'THK) 5.00 C125 2.25 Class If 18' 30THK 7.50 P300 8.00 r New A= 0.48 SF New P= 2.53 Wetted perimeter New R= 0.19 Hydraulic radius Z Actual= 0.16 Must be greater than z required=> 0.09 Okay New V= 3.93 fps Liner North American Green,S75 1.55 LBISF>1.44 LBISF Okay i .................----_--: Top W"am=5.4fl Min.Ditch Depth=0.9 It see ] Flow Depth(Y)=0.4it Bottom Width(B)=0 fl r Min.Ditch Depth fl Bottom Width(it! r Flow De U fl To Width fl Sid.Slope 0.90 Doll 040 5.4 3:1 r North American Green,S75 'RED is USER INPUT r r LATEST REVISION: 10129120204:44 PM N • � � Burlington North April Sty TIMMONS GROUP 0 44089.002 Ditch Outlet Protection (NYDOT Method) Ditch Name: Diversion Ditch #2-D .. Velocity= 3.93 fps From Fig.&06.c: ZONE= 1 r Top Width= 5.4 it Ditch Area= 0.48 at Rip Rap Class= A Equivalent Pipe Diameter= 9.38 in Apron Thickness= 12 in r Equivalent Pipe Diameter= 12 in Apron Length= 4.0 ft Apron Width=Top Width.= 5.4 ft r From Fig.8.06.e: a r u Ift r r r r r r LATEST REVISION:1012912020 4:44 PM • Diversion Ditch pJA '_• 0� f Burn ton North�a AprilAprll Sly. TIMMONS GROUP _ 089,.._002 Drainage Ditch Design(Velocity Constraint) TEMPORARY DIVERSION DITCH: Diversion Ditch#3A This worksheel is designed to determine channel lining based on flow and ditch geometry(base width,side Melts,8 channel slope).This program determines depth of flow,velocity and tractive force assuming n=0.03 for grass or rip rap in can be varied if desired).(Vary depth until z actual equals z required;v 8 t will be coned;select appropriate lining based an tractive force) Sir Area(A)= 1.25 (Acres) CoeU IC)= 0.45 (Dimensionless) Inle.(1)= 7.67 (inlhr) Flow(Q1,J 4.3 (cfs) r Line channel with: 6 'np-rap (Assume 6'even if using grass) Manning n= 0.030 (Dimensionless) Ditch Length= 96 LF Slope= 0.010 (11 Highest Elevation= 662 Z Required 0.85 Ratio Lowest Elevation= 661 Side Slope(MI= 3 1 Flow Depth(Y)= 0.80 it 9.6 in Bottom Width(B)= 0.00 it 0.0 in Freeboard 0.60 I1 6.0 in T=Y%DxS Y=Weight of water(62.4 LWCUFT) T= 0.52 LB/SF D=Depth of flow in channel(ft) S=Slope of channel(Nft) e• Jute No 0.45 Cuded Mat 1.55 S75 1.55 Class A(%9711K) 2.00 S150 1.75 Class B(8'®18THK) 3.50 SC150 2.10 eis Class I(12'(oj22THK) 5.00 C125 2.25 Class II 18' 30THK 7.50 P300 8.00 r New A= 1.92 SF NaWP= 5.06 Wetted perimeter New R= 0.38 Hydraulic radius Z Actual= 1.01 Must be greater than z requiredi 0.85 Okay .� New V= 2.66 fps Liner North American Green,S75 1.55 LBISF>0.52 LB/SF Okay Top Wi01h=7.Bft Min,Ditch Depth=I ft .__........,__ 9 Flow Y) Depth 0.8If P .._....... ..... .._.. Bottom Width(B)=0 If Min.Ditch Depth ft Bottom Width ft r Flow De th ft TopWidth ft Side Slope 1.30 1 0.00 1 0.80 1 7.8 if 3.1 North American Green 575 'RED IS USER INPUT LATEST REVISION:10/29/2020 5:26 PM ^ �...�� • Burlington North TIMMONS GROUP April Blye o I Tr....Lo.T 44089.002 Ditch Outlet Protection (NYDOT Method) ^ r Ditch Velocity= 2.66 fps From Fig.8.06.c: ZONE= 1 r Top Width= 7.8 It Ditch Area= 1.92 sf Rip Rap Class= A Equivalent Pipe Diameter= 18.76 in Apron Thickness= 12 in ^ Equivalent Pipe Diameter= 24 in Apron Length= 8.0 ft Apron Width=Top Width= 7.8 ft From Fig.8.06.e: r .. L Ih r ^ r /I LATESTREVISION:10292020 5:26PM ..... � Diversion Ditch 113B • � � Burlington North April Blye®' TIMMONS GROUP r Drainage Ditch Design (Velocity Constraint) ,TEMPORARY DIVERSION DITCH: Diversion Ditch#313 This warksheet is designed to determine channel lining based on flow and ditch geometry(base width,side slope,8 channel slope).This progmm determines tiepin of flow,velocity and tractive force assuming ril for grass or tip rap in can be vaned if desired).(Vary depth until z actual equals z required;v 8 I will be correct,select appropriate lining based on tractive force) Area(A) r 2.41 (Acres) Coal.(C)= 0.45 (Dimensionless) Inte.(1)= 7.67 (infhr) Flow(Qro)= 8.3 (cfs) r Line channel with: 6 ' rip-rap (Assume 6'even if using grass) Manning n= D.030 (Dimensionless) Ditch Length= 414 LF Slope= 0.019 (fl/ft) Highest Elevation= 670 Z Required= 1.20 Ratio Lowest Elevation= 662 Side Slope(M)= 3 :1 r Flow Depth(Y)= 0.75 tt 9.0 in Bottom Width(B)= 1.00 It 12.0 in Freeboard= 0.50 R 6.0 in T=YxDxS Y=Weight of water(62.4 LB/CUFT) T= 0.90 LBISF D=Depth of flow in channel(ft) S=Slope of channel(fth) Jute Net 0.45 Curled Mat 1.55 S75 1.55 Class A(4'@9`THK) 2.00 also 1.75 Class B(8"@18"THK) 3.50 SC150 2.10 ee Class I(12'@22"THK) 5.00 C125 2.25 Class II 18" 307HK 7.50 P300 8.00 r NewA= 2.44 SF Nee P= 5,74 Welled perimeter Neel 0.42 Hydraulic radius Z Actual= 1.38 Must be greater than z required=> 1.20 Okay r New V= 3.90 fps Liner North American Green,S75 1.55 LB/SF>0.91 LBISF Okay t Top dth=B.eltiW Min.OitrJi Depth=1.25 R -----.------•..... 3 Flow De th .. .................... -------------_..�__ Bottom Width(B)=1 R r Min.Ditch Depth fl Bottom Width % r Flow De th ft Top Width fl Side Slope 1.25 1 1.00 0.75 1 8.5 3:1 r Nash Amenran Green,S75 'RED 15 USER INPUT r LATEST REVISION: 10/29/2020 5:29 PM ......� N • � � Burlington North TIMMONS GREOU April 61y . .....P Ditch Outlet Protection (NYDOT Method) ■ Diversion Ditch Velocity= 3.90 fps From Fig.8.06.c: ZONE= 1 Top Width= 8.5 It Ditch Area= 2.4375 sf Rip Rap Class= A Equivalent Pipe Diameter= 21.14 in Apron Thickness= 12 in Equivalent Pipe Diameter= 24 in Apron Length= 8.0 ft Apron Width=Top Width.= 8.5 ft _ From Fig.8.06.e: r LATEST REVISION:10129/2020 5:29 PM � Diversion Ditch WA • � � Burlington North ®' _` TIMMONS GROUP ' E April Blye 44089.002 Drainage Ditch Design (Velocity Constraint) �TEMPORARY This vorksheet is designed to determine channel lining based on flow and ditch geometry(base width,side slope,&channel slope).This program determines depth of flow,velocity and tractive force assuming n=0.03 for grass or no rap in can be vaned if desired).(Vary depth until z actual equals z required:v&t Will be correct,select appropriate lining based on traclve force) r Area(A)= 0.37 (Acres) Coal.(C)= 0.45 (Dimensionless) Inte.(1)= 7.67 (inlhr) FlOW(Q,r)° 1.3 lots) r Line channel with: 6 'np-rap (Assume 6'even if using grass) Manning n= 0.030 (Dimensionless) Ditch Length= 112 LF Slope= 0.013 full) Highest Elevation= 676.5 Z Required= 0.22 Ratio Lowest Elevation= 675 Side Slope(M)= 3 :1 Flow Depth(Y)= 0.50 it 6.0 in Bottom Width(B)= 0.00 it 0.0 in Freeboard= 0.50 it 6.0 in T-YxDxS Y=Weight of water(62.4 LB/CUFT) T= 0.42 LBISF O=Depth of flow in channel(%) S=Slope of channel(fVft) r�• Jute Net 0.45 Curled Mat 1.55 7,30, 1.55 Class A(4'®9THK) 2.00 1.75 Class B(8'@18'THK) 3.50 2d0 Class I(12'@22'THK) 5.00 2.25 Class 11 18' 30711K 7.50 8.00 New A= 0.75 SF New P= 3.16 Wetted perimeter New R= 0.24 Hydraulic radius Z Actual= 0.29 Must be greater than z required=> 0.22 Okay n• New V= 2.20 fps Liner North American Green,S75 1.55 LB/SF 0.42 LB/SF Okay ------------ .• Top Width=6ft Min,Ditch Depth=1 ft 3 Flow Depth(Y)=0.5 ft i Bottom Width(B)=0 It Min.Ditch Depth % Bottom Width ft • Flow De th fl Top Width R !Side Slope 1.00 0.00 1 0.50 1 fi 1 31 A North American Green S75 'RED IS USER INPUT •. LATEST REVISION:10/29/2020 5:37 PM n 0 • Burlington North TIMMONS GROUP April Blye rNciNeEnl.c I 1 44089,002 Ditch Outlet Protection (NVDOT Method) Ditch Name: Diversion Ditch #4A .. Velocity= 2.20 fps From Fig.&06.c: ZONE= 1 r Top Width= 6 It Ditch Area= 0.75 at Rip Rap Class= A Equivalent Pipe Diameter= 11.73 in Apron Thickness= 12 in r Equivalent Pipe Diameter= 12 in Apron Length= 4.0 It Apron Width =Top Width.= 6.0 It r From Fig.8.06.e: 3 r h� LATEST REVISION:10I2e2020 5:37 PM D •':•�� Burlington Diversion Ditch#18 '• Burlton North g April Bly� TIMMONS GROUP .r Drainage Ditch Design (Velocity Constraint) TEMPORARY DIVERSION r Diversion Ditch This worksheet Is designed to tleteonine channel lining based on flow and ditch geometry(base weir,side slope,&channel slope).This program determines depth of flow,velocity and tractive force assuming n=0.03 for grass or rip rap in can be vaned if desired),(Vary depth until z actual equals z required;v&twill be correct;select appropriate lining based on 9active force) Area(A) 0.79 (Acres) Cost(C)= 0.45 (Dimensionless) Inte.(1)= 7.67 (inlb) Flow(O,o)= 2.7 (cfs) Line channel with: 6 "rip-rap (Assume 6"even if using grass) Manning n= 0.030 (Dimensionless) Ditch Length= 433 LF Slope= 0.031 (M) Highest Elevation= 690.5 r Z Required= 031 Ratio Lowest Elevation= 677 Side Slope(M)= 3 :1 Flow Depth(Y)= 0.60 ft 7.2 in Bottom Width(6)= 0.00 a 0.0 in Freeboard= 0.50 ft 6.0 in .� T=YxD%S Y=Weight of water(62.4 LBICUFT) T= 1.17 LBISF D=Deph of flow in channel(ft) S=Slope of channel(ft/0) Jule Nel 0.45 Curietl Mat t.55 S75 1.55 Class A(4'�aJ9�HK) 2.00 5750 1.75 Class B(8"@18"THK) 3.60 SC760 2.10 rs Class I(12"Q22THK) 5.00 C125 2.25 Class ll 78" 30"THK 7.50 P300 8.00 as New A= 1.08 SF New P= 3.79 Wetted perimeter New R= 0.28 Hydraulic radius Z Actual= 0.47 Must be greater than z required=> 0.31 Okay New V= 3.79 fps Liner North American Green,S75 1.55 LB/SF>1.17 LB/SF Okay i Top Width=6.6 ft Min.Ditch Depth=1.1 ft .._......._, Flow Depth(Y)=0.6ft ' 1 ................ ...._.......... Bottom Width(B)=0 ft r Min.Ditch Depth ft Bottom Width fl r Flew De th ft Top Width ft Side Slo e 1.10 1 0.00 1 0.60 1 6.6 13:1 r NaM American Green,S75 'RED IS USER INPUT r r LATEST REVISION:10/29/2020 5:43 PM N • Burlington North - TIMMONS GROUP April Blya Irec....oc• 44089,002 Ditch Outlet Protection (NYDOT Method) Ditch Name: Diversion Ditch #4B Velocity= 3.79 fps From Fig.8.06.c: ZONE= 1 — Top Width= 6.6 ft Ditch Area= 1.08 sf Rip Rap Class= A Equivalent Pipe Diameter= 14.07 in Apron Thickness= 12 in — Equivalent Pipe Diameter= 15 in Apron Length= 5.0 ft Apron Width=Top Width.= 6.6 ft From Fig.8.06.e: — � iF - LATEST REVISION:t0149Q010 5:43 PM ri '••. Fresh Water Diversion Ditch MA - •� Burlington North ®' TIMMONS GROUP April Blye I - 1 -„ 44089.002 Drainage Ditch Design (Velocity Constraint) TEMPORARYDIVERSION r Diversion Ditch This worksheet is designed to determine channel lining based on flow and ditch geometry(base width,side slope,&channel slope).This program determines depth of 0ow,velocity and tractive force assuming n=0.03 for grass or rip rap in can be vaned if desired).(Vary depth until z actual equals z required;v 8l unit be coned select appropriate lining based on tractive force) •• Area(A)= 1.28 (Acres) Coef.(C)= 0.45 (Dimensionless) Into.(1)= Z67 homr) Flow(Oro)= 4.4 p(s) Line channel with: 6 'dp�rap (Assume 6'even if using grass) Manning n= 0.030 (Dimensionless) Ditch Length= 467 LF Slope= 0.039 (0/ft) Highest Elevation= 685 Z Required= 0.45 Ratio Lowest Elevation= 667 Side Slope(M)= 3 A eie Flow Depth(Y)= 0.60 it 7.2 in Bottom Width(B)= ll 0 6.0 in Freeboard= 0.50 0 6.0 in T=YxDxS Y=Weight of water(62.4 LB/CUFT) T= 1.44 LBISF D=Depth of 0ow in channel(it) S=Slope of channel(1V8) 7tNe 0.45t55575 1.55(4'Q9THK) 2.0015017518T3.50 SC750 2.102- 22-THK) 5.00C125 2,25 18' 30THK 7.50 P300 8.00 New A= 1.38 SF New P= 4.29 Wetted perimeter New R= 0.32 Hydraulic radius Z Actual= 0.65 Must be greater than z required=> 0.45 Okay New V= 4.57 fps Liner North American Green,575 1.55 LB/SF>1.45 LBISF Okay Tap Width=7.1 ft Min.Ditch DepOi= 1.1 ft ----_.----- 3 1 Flow Depth(Y)=DS ft . Bottom Width(B)=0.5 It rr• Min.Ditch Depth 8 Bottom Width(fitr Flaw De th 1 To Width ft Side Slope 1.10 1 0.50 1 0.60 7.1 1 3:1 North Amencen Green,S75 'RED IS USER INPUT LATEST REVISION:10I29/2020 SOS PM Fresh Water Diversion • �� Burlington North ®' ''` TIMMONS GROUP April Blye . .. ... 44089.002 .. Drainage Ditch Design (Velocity Constraint) TEMPORARY DIVERSION DITCH: Fresh Water Diversion Ditch B This worksheet is designed to determine channel lining based on flow and ditch geometry(base width,side slope,&channel slope).This program determines depth of flaw,velocity and tractive force assuming n=0.03 for grass or rip rap(n can be varied if desired).(Vary depth until z actual equals z required;v&twill be correct;select appropriate lining based on tractive force) r� Area(A)= 0.10 (Acres) Coal.(C)= 0.45 (Dimensionless) Inge.(1)= 7.67 grm,) Flow Pa) 0.3 Ira) Line Channel with: 6 'dp-ap (Assume 6'even if using grass) Manning n= 0.030 (Dimensionless) Ditch Length= 216 LF Slope= 0,060 (fluff) Highest Elevation= 681 rr Z Required= 0,03 Ratio Lowest Elevation= 668 Sid.slop.(M)= 3 :1 Flow Depth(Y)= 0.20 it 2.4 in Bottom Width(B)= 0.50 it 6.0 in Freei= 0.50 it 6.0 in T=YxOxS Y=Weight of water(62.4 LB/CUFT) T= 0.75 LB/SF D=Depth of How in channel(ft) S=Slope of channel(Nfl) Jute Net 0.45 Curled Mat 1.55 S75 1.55 Class A(4-@9-rHK) 2.00 5150 1,75 Class B fly`@18"fi 3.50 SC150 2.10 ses Class 1(17@2271114) 5.00 C125 2.25 Class II 18' 30'7HK 7.50 P300 8.00 Nei 0.22 SF New P= 1.76 Wetted perimeter New R= 0.12 Hydaulicadius Z Actual= 0.05 Must be greater than z required= 0.03 Okay New V= 3.04 fps Liner North American Green,S75 1.55 LB/SF>0.76 LBISF Okay ser Tap Width=4.7 fl Min.Ditch Depth=0.7If 31 1 Flaw Depth(Y)=0.2 ft Bottom Width(8)=0.5 R Min.Ditch Depth R Bottom Width fl • Flow Depth ft Top Width ft Side Slo 0.70 0.50 0.20 4] 11 North American Green,S75 'RED IS USER INPUT LATEST REVISION:10/29/2020 6:07 PM NO"Atlas 14.Volume 2,Version 3 Location name:Burlington,oon North Carolina,USA' Latitutle:36.2d]3',Longitude:-]9.32]t• IM Elevation:611 rmEand Maps ses. USG6 A POINT PRECIPITATION FREQUENCY ESTIMATES G M.emmn,0.uses,B LIn,T,Pamessr.M YeW.and 0.Why eas NOM.Naliory WmNw Servim,abler Smnp.Mery4M PF tabular I PF pmphical I Maps & aetlals PF tabular POS-based point precipitation frequency estimates with 90%confidence intervals(in Inches/hour)' �00� 10vereoere�5rrenpa ln50rvel lF 100 200 s00 1000 Duretlo �� 4.81 S.d] 6.00 ].00 7 .8] B.OB 0.4] 8.]] 9.08 9.26 (1.4.61 ) (5035.27 (5836.98) (e 301.W) 1698-0.351 (].31-081) (763.9") RBfi-9.SB) (8.ue.921 (818d0.1 10-min 3.fi0 d.3] 5.12 5.69 8.11 B.N 6.]3 8.95 7.10 7.31 (3.3&4.011 (40479) (12-559) 15.11-6.10) (S.w5.85) (500]A2) (6 TM) f623]591 10.30]841 (fi.40-0.88) 1 Is 15inin 2.80.t]5 3.36d�w 3.wd�]1 4.30.514 4.8MM d,2--55921 5116'19 52"38 IS 5.M6?68 30inln 1.2$29 (p W3 n) (200.335) J 33]J J.]d?1] 3.1W_d6j 391d13) 1a 06A 9]) (426.5 N) 4]6841 253 t� 60-m+n 1.J1 1.59 S009O R ]6410L9 11 2.2 6 ] R4A 6 .].d 3.61 992].15) 13.OG(1 (L+6.L]4 nt l2 &2 2 2.38 (0�]1084 6 ( s- AI ) tZ5- e ) (191 (10 8 585) 0 � ' 048Itp .fi02 .61 -0] 0.8]9 w 51 L 1 .672 1.12 Bdtr o.T2-03>0 03i&0Ad] 690556 0.53806J8 0280i48 O.fi9fi-0 BJ5 0]80.092] (¢3B 501) (0.91 s-513 0.9]B t13 12 hr 0.201 0.2d3 0.305 0.]53 O.d21 0.dT5 0.532 0.591 O.fi]d 0.)61 2-0ey O.iBs4220 0.20.143 8 (o.T]�M2 ; 2 ¢381-0.4s] Od2]-Os1d)(O(0 J]�(0519-0.83])(0.5B2-0]2] 0611.424 9101180.1d1 0.1i9 0.xd6 . T] 0.3N 038] 0A2d(0110129 (0.133-G15s (0.,66019J (i)2V(1.265 (0.25+-0.298)(0.282.0.333 (0.311-0.3]0) (03800+20 (038004fi1. .232 °.1300.°15° °]4d-0.fi4i0 0]590.319] Ot0]4-0206 019d 0232 0.20100353 0see .oss-0.o]s oo] 0.009 0.059 0.0]] 0.000 O.o90 Od10 0.121 0.134 0.150 oA63 3-0ey O.w60A53 055-0.C53 Y0073 0.280090 0.091.O.t05 0101-0.110 O.112 0131 0122-01q 0.13].0.163 0.14B.01IB d-0ey 0.039 ( O.Odfi 0.05] O.Ofifi 0.an O.OBfi 0.096 I 0.105 0.119 0.129 0.036A w2 Ow30 W0 0.053-0.061 0.W1-00]0 0.0720. o0B00093 (0.08Bo103 RC9GO H4 0.108.0.1]9 0.11]A 1d0 0.025 0.030 O.OJ] 0.002 0.O49 0.005 O.O6t o.066 0.0]5 0.081 ]-0ay 10.2d.0021 (O.a2ea.03z (0.msa.039 0.03YO w5 (o.04 052 O.o5L00.59110D560065 (nC61A 21 (o LWe.o.OBO (0.0]+.000B) 10-0ay O.o20 0.26 0.029 0.033 0.038 0.042 O.Od6 0.050 0.056 0.061 O.Ot&°2t o022L ozs O.UP-0.N1 0.03t-0.035 O.O3SO.w0 0039d.w5 0w10 w9 0.04]-0a54 0052.0.061 otelso CE8 20-0ey 0.013 O.w6 O.w9 O.ON 0.02d 0.02] 0.029 0.032 0.038 0.0a 0.ou.09u p.01s-0o1 o.wa-0.ozo o2eo.o2 0.0aa.oze 6.2so.ozs 9pz].0 oil owo-g 0w gg3ao.me o.035 w1 30-0ay 0.011 O.Ot3 O.wS O.Ot] 0.019 0.021 O.Ox2 0.@0 0.026 O.o2803 0.0110.01z o.mzL wA 0.o1+L w8 O.wso ole O.wso.az0 o200.OR 0az1a024 oN2.o.o26 to ozd-o.02e O.o20o. 01 � d5day 0:o9d U+p 0016U o1z (o a,1L o13 o:0t9 Dols) a.ms oats 0,016o o1e)(O.oi]o a19 o01&O ozo7 (0@00@2 0:zOa oz+1 Ba-0Gy (0:08a009 (o W3o U10 (oat ao o,2 o0ii ool J)(a 0100014 (OAoa ool5)(°.a,a ooi6 (o:sdnnj (o-0ieo ote Io:num91 ses Proposal lrgFwprenry tim(PF)esates in this fable are based on lrequ u anq asn"ps of tniet duration saeea(PTS). Numbers in parenthe is are PF esOmetes at IavaraM upper bounds of Na 90%oon°Eanw Interval.Th.pmbablllt,dial preopita0on trooper,eetlmetea the a grain duretlon and average moment Interval)aidl be leader than one upper bound(or less than Me lower bound)Is 5%.Estimates at upper Words am not tlmomal against probable maumum pmnpitarmn(PMP)estimates and mey be higher than cuneMy valid PMP valued. Please refer W NOM Miss 14 disposes for more;Narmaoon. Back to Too i Table 8.03b Land Use C Land Use C Value of Runoff Coefficient (C)for Rational Formula Business: Lawns: Downtown areas 0.70-0.95 Sandy soil, flat, 2% 0.05-0.10 Neighborhood areas 0.50-0.70 Sandy soil, ave., 0.10-0.15 n+ 2-7% Residential: Sandy soil, steep, 0.15-0.20 Single-family areas 0.30-0.50 7% Multi units, detached 0.40-0.60 Heavy soil, flat, 2% 0.13-0.17 Multi units,Attached 0.60-0.75 Heavy soil, ave., 0.18-0.22 Suburban 0.25-0.40 2-7% Industrial: Heavy soil, steep, 0.25-0.35 Light areas 0.50-0.80 Heavy areas 0.60-0.90 Agricultural land: Parks, cemeteries 0.10-0.25 Bare packed soil Smooth 0.30-0.60 Playgrounds 0.20-0.35 Rough 0.20-0.50 Cultivated rows Railroad yard areas 0.20-0.40 Heavy soil no crop 0.30-0.60 Heavy soil with Unimproved areas 0.10-0.30 crop 0.20-0.50 Streets: Sandy soil no crop 0.20-0.40 Asphalt 0.70-0.95 Sandy soil with Concrete 0.80-0.95 crop 0.10-0.25 Brick 0.70-0.85 Pasture Heavy soil 0.15-0.45 Drives and walks 0.75-0.85 Sandy soil 0.05-0.25 Woodlands 0.05-0.25 Roofs 0.75-0.85 NOTE: The designer must use judgement to select the appropriate C value within the range for the appropriate land use. Generally, larger areas with permeable soils, flat slopes, and dense vegetation should have lowest C values. Smaller areas with slowly permeable soils,steep slopes, and sparse vegetation should be assigned highest C values. Source: American Society of Civil Engineers n 8.03.6 Rev.6/06 n Maps USDA United States A product of the National Custom Soil Resource Department of Cooperative Soil Survey, Agriculture a joint effort of the United Report for States Department of Nr���R Agriculture and other Caswell County Federal agencies, State Natural agencies including the North Carolina Resources Agricultural Experiment Conservation Stations, and local Service participants r. .n 0 lililiElililiEME 1,000 ft December 6, 2019 Custom Soil Resource Report Soil Map it k e S s` 9 1z. 8 � A S , A . x 8 HeC g FRxE R v 8 � v � � Y W� q W§ _ v,aasx v,a'rx 3 3 � nW Sde:1:5,160 rpY�mApaVai(B.Sxll')9�. b k N —Haas 0 9 t00 2p k' A 6 Custom Soil Resource Report MAP LEGEND MAP INFORMATION Area of Interest(ADI) Spoil Arm The soil surveys that comprise your AOI were mapped at O Areaoflnteresl(AQI) Stony Spot 1:24,aoo. Q Solla Very Stony Spot J Soil Map Unit Polygons W Waming:Soil Map may not be valid at this scale. © Wet spot ,y Soil Map unit tines Enlargement of maps beyond Me wale of mapping can Huse Other misunderstanding of the detail of mapping and assure of soil Soil Map unit Points 9 PP 9 cy Speoel line Features line placement.The maps do of detailed the small areas Special Point Features contrasting a0115 Net could haveve been Shown at a more V BlowoN Water Features sCdC. --. SVeamS and GandlS ® a..Pit Transportation Please rely an the bar scale on each map sheet for map Clay spot tg„r Rails measurements. Q Crosse Depression rY Interstate Highways crewel Pa Source Map: Natural Resources Conservation Service ti US Routes Web Soil Survey URL: Gravelly Spot Melor Roads Coordinate System: Web Mercator EPSG:3857) 0 landfill Local Roads Maps from the Web Soil Survey are based on the Web Mercator lave Flow Backgraund projection,which preserves direction and shape but distorts distance and area.A projection that preserves area,such as the Marsh or swamp . Aencl Photography Albers equal-area cants projection,should Ce used if more J. Mine or Quarry accurate calculations Of distance or area are required. 0 Miscellaneous Water This product is generated from the USDA-NRCS mill data as 0 Perennial Water of the version call listed below. y Rod Quluop Soil Survey Area: Caswell County,North Carolina + Saline Spot Survey Area Data: Version 10,Sep 16,2019 - - Sandy Spot Soil map units are labeled(as space allows)for map scales d Severely eroded Spot 1:50,000 or larger. 0 Sinkhole Dales)aerial images were photographed: Nov 12,2015—Nov Slide or&to 26,2017 smic Spol The onhuphoto or other base map on which the soil lines were compiled and digitized probably differs from the background imagery displayed on these maps.As a result,some minor shifting of map unit boundaries may be evident. 7 r� Custom Soil Resource Report Map Unit Legend ,-� Map Unit Symbol Map Unit Name Acres In AOI Percent of AOI ChA Chewacla loam,0 to 2 percent 0.0 0.0% slopes,frequently flooded r"► HeB Helena sandy loam,2 to 6 18.4; 22.0% percent slopes HeC Helena sandy loam,6 to 10 11.3 13.6% n percent slopes HeD Helena sandy loam,10 to 15 33.7 40.3% percent slopes RxE Rowan-Poindexter complex, 15 18.21 21.8% to 45 percent slopes W Water _ 2.011 2.3% F" Totals for Area of Interest 83.6 100.0% Map Unit Descriptions The map units delineated on the detailed soil maps in a soil survey represent the soils or miscellaneous areas in the survey area. The map unit descriptions,along with the maps, can be used to determine the composition and properties of a unit. A map unit delineation on a soil map represents an area dominated by one or more major kinds of soil or miscellaneous areas.A map unit is identified and named according to the taxonomic classification of the dominant soils. Within a taxonomic class there are precisely defined limits for the properties of the soils. On the landscape, however,the soils are natural phenomena, and they have the characteristic variability of all natural phenomena. Thus, the range of some observed properties may extend beyond the limits defined for a taxonomic class. n., Areas of soils of a single taxonomic class rarely, if ever, can be mapped without including areas of other taxonomic classes. Consequently, every map unit is made up of the soils or miscellaneous areas for which it is named and some minor components that belong to taxonomic classes other than those of the major soils. Most minor soils have properties similar to those of the dominant soil or soils in the map unit, and thus they do not affect use and management. These are called noncontrasting, or similar, components.They may or may not be mentioned in a particular map unit description. Other minor components, however, have properties and behavioral characteristics divergent enough to affect use or to require different management.These are called contrasting, or dissimilar, components.They generally are in small areas and could not be mapped separately because of the scale used.Some small areas of strongly contrasting soils or miscellaneous areas are identified by a special symbol on the maps. If included in the database for a r-, given area, the contrasting minor components are identified in the map unit descriptions along with some characteristics of each.A few areas of minor components may not have been observed, and consequently they are not r, mentioned in the descriptions, especially where the pattern was so complex that it �+ 8 Custom Soil Resource Report was impractical to make enough observations to identify all the soils and miscellaneous areas on the landscape. The presence of minor components in a map unit in no way diminishes the usefulness or accuracy of the data.The objective of mapping is not to delineate pure taxonomic classes but rather to separate the landscape into landforms or landform segments that have similar use and management requirements. The delineation of such segments on the map provides sufficient information for the development of resource plans. If intensive use of small areas is planned, however, onsite investigation is needed to define and locate the soils and miscellaneous ^' areas. An identifying symbol precedes the map unit name in the map unit descriptions. Each description includes general facts about the unit and gives important soil properties and qualities. Soils that have profiles that are almost alike make up a soil series. Except for differences in texture of the surface layer, all the soils of a series have major horizons that are similar in composition, thickness, and arrangement. Soils of one series can differ in texture of the surface layer, slope, stoniness, salinity,degree of erosion,and other characteristics that affect their use. On the basis of such differences, a soil series is divided into soil phases. Most of the areas shown on the detailed soil maps are phases of soil series.The name of a soil phase commonly indicates a feature that affects use or management. For example,Alpha silt loam, 0 to 2 percent slopes, is a phase of the Alpha series. Some map units are made up of two or more major soils or miscellaneous areas. These map units are complexes,associations,or undifferentiated groups. rn A complex consists of two or more soils or miscellaneous areas in such an intricate pattern or in such small areas that they cannot be shown separately on the maps. The pattern and proportion of the soils or miscellaneous areas are somewhat similar in all areas.Alpha-Beta complex, 0 to 6 percent slopes, is an example. An association is made up of two or more geographically associated soils or miscellaneous areas that are shown as one unit on the maps. Because of present or anticipated uses of the map units in the survey area, it was not considered practical or necessary to map the soils or miscellaneous areas separately. The pattern and relative proportion of the soils or miscellaneous areas are somewhat similar.Alpha-Beta association, 0 to 2 percent slopes, is an example. An undifferentiated group is made up of two or more soils or miscellaneous areas that could be mapped individually but are mapped as one unit because similar interpretations can be made for use and management.The pattern and proportion of the soils or miscellaneous areas in a mapped area are not uniform.An area can be made up of only one of the major soils or miscellaneous areas,or it can be made r*+ up of all of them. Alpha and Beta soils, 0 to 2 percent slopes, is an example. Some surveys include miscellaneous areas. Such areas have little or no soil material and support little or no vegetation. Rock outcrop is an example. r-► ram► n r-, 9 ., Custom Soil Resource Report Map—Hydrologic Soil Group y k k HeB s ssxx v,ssn 6 5 a a s § —§ s § e�m amn w,m � � ®m earn anm �mro s s A MVS :L5,7Wfpi wRpn (&Sxll'JS s M9e � k N o so wo as sro k A D ��:� � elyea6 umzuevN� 20 ses ses Custom Soil Resource Report ar, ses MAP LEGEND MAP INFORMATION Area of Interest(ADI) ■ C The soil surveys that comprise your AOl were mapped at _ 0 AreaoRmerest(ADq C0 1:24.000. ■ Sale Soil Rating Polygons ■ D Warning:Soil Map may not be valid at this scale. A 13 Net 2led or not available Water Features Enlargement of maps beyond the maple of mapping can pose ® NO mie placement. Theng themaps do lot mapping and m small areas f soil Streams and Canals line placement.The maps do not show the small areas of ® B Transportation contresting soils that could have been shown at a mare tletaile Raffle scale. 0 D N Interelele Highways (] CID rely on the bar scale on earl)map sheet for map .y US Routes measurements. 0 Major Roads Source of Map: Natural Resources Conservation Serrdce 0 Not mind or not available Local Roads Web Soil Survey URL: Soil Rating Lines Background Coordinate System: Web Manager(EPSG:3857) _ A Aerial Photography Maps from me Web ser Survey are basedha the Web torts A/0 protection,which preserves direction and shape but distorts ti B distance and area.A projection that preserves area,such as te Albers equal-area conic projection,should be used if more .✓ Iv0 ...is calculations of distance or area are required. y c This product is al list from the USDA-NRCS bell data rrr ,y DID of the version dates)listed below. o Soil Survey Area: Caswell County,North Carolina . . Net radial a not available Survey Area Data: Veaan10,Sr iQ201g ses Soil Rating Palms ■ A Soil map units are labeled(as space allows)for map scales 1:50,D00 or larger. iss ■ PO ■ B Daie(s)aerial images were photographed: Nov 12,2015—Ni 26,2017 ■ BID as The orthophoto or other base map on which the soil lines were compiled and digitized probably differs from the background imagery displayed an these maps.As a result some minor shifting of map unit boundaries may be evident ses 21 Custom Soil Resource Report Table—Hydrologic Soil Group Map unit symbol Map unit name Rating Acres In AOI Percent of Aoi ChA Chewacla loam,0 to 2 B/D 0.0 0.0% percent slopes, frequently flooded HeB Helena sandy loam,2 to D I 18.4 22.0% 6 percent slopes HeC Helena sandy loam,6 to I D — 11.3 13.6% 10 percent slopes Il HeD Helena sandy loam,10 D 33.7 to 15 percent slopes RxE Rowan-Poindexter B i 18.2 21 8% rn complex, 15 to 45 percent slopes If LW I Water l 2.0 2.3% Totals for Area of Interest 83.6 100.0% ,.., Rating Options—Hydrologic Soil Group Aggregation Method.Dominant Condition �^ Component Percent Cutoff. None Specified Tie-break Rule:Higher ram, n n �, 22 _ 6 p 0 9 OlPo �e 411, ` O Qo xurelxrsE HD JD�W 02 W R055,1CRE5 RO 2 O D 49 50 51 52 MN.• SCALE 1:24 000 N 1 0.5 0 KILOMETERS 1 R.o" 94 1000 500 0 METERS 1000 _ 1W MILS 1 0.5 0 t8 MILS MILES 10DO 0 1000 2" 3" 4000 5000 6000 7000 5000 i FEET UTM GRIDAND 2D19 MAGNETIC NORTN DECLINATON AT CENTER OF SHEET � rnum..n uTenvu �n ew