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SW4210802_Design Calculations_20210816
HYDRAULIC CALCULATIONS MIDDLETON PHASE 1 DAVIDSON COUNTY, NC PROJECT. 2020-040 MARCH, 2021 JAMESTO WN ENGINEERING GROUP, INC. 117 EAST MAIN STREET P. 0. BOX 365 JAMESTOWN, NC 27282 (336) 886-5523 C - 0626 W 0- 0 S L.L Z J W J Z ui CL EL 0 0 S 0 W v n' O a r Q U to O U- r U Ci 0 r U U W 0 aG Q m D Z z 0 Z � -O Q x W S dw O F- O w U- O O O O O O O O O O O oom00000000 NI`-rNCOI�CMp000 (t��-��--Mtfjd rrttj �Cd00�00tll O Ot00 P�- 00dO�)tpf)h-O�CS)00 (0 Iq N r r N T r V- W LO It 0 0 0 0 0 w 0 r r r N M M M M M M M Ntt�ti �NCiN tU7 ? r r r T r r r r r r r F'."'P09c!0)MN(ON(O P"rprNNMMMd'�►' 0mN I-- N 'd m Cl O h-(OtC)NN(O�CMD V PzC146 666'i r.�0 OR OR Co OR w w m w o w a tti tri 0 in tri tri 6 6 L6 6 6 LO LO to U) LO to 0 LO to to to 0 0 0 0 0 0 0 0 0 0 0 P- 0 d o 0 0 0 0 0 0 0 0 CAd P-toO)d-� (DR O)a r(14r d'tnt00000000)C) o to LO 0) 0 co 00 r - LO m 0 C�(OMP-OOMO�Mrr r O r 0 o r r 0 0 r 0 tf)MM0)MU7r-toOcPO tAOO�-tnCOCAO'cPp9 C6LOtnNP-IV to00)ti I- 0 0 00 CA O) 00 OO h- I-(O h �P-i�COCO(Oto0w O V- C� 00 h- (� to C? 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AREA 1 10 C Q 10 BOTTOM WIDTH LT SS RT SS LINING SLOPE MATERIAL n DEPTH VEL SHEAR STRESS WP A 1-12 1.90 5.8 0.7 7.2 1.0 3 :1 3 :1 6.2% EXCEL S-2 0.066 0.52 3.46 1.99 4.3 2.1 1-12 1.90 5.8 0.7 7.2 1.0 3 :1 3 :1 6.2% VEGETATED 0.035 0.30 5.90 1.17 2.9 1.2 1-11 0.65 5.8 0.7 2.5 1.0 3:1 3:1 5.1% EXCELS-2 0.066 0.23 2.65 0.73 2.5 0.9 1-11 0.65 5.8 0.7 2.5 1.0 13:1 3 :11 5.1% VEGETATED 0.0351 0.14 4.28 1 0.45 1.9 1 0.6 1-10 1.35 5.8 0.7 5.1 1.0 3 : 1 3 : 1 2.2% EXCEL R-1 0.066 0.60 2.11 0.82 4.8 2.4 1-10 1.35 5.8 0.71 5.1 1.0 3 :1 3 :1 2.2% VEGETATED 0.035 0.35 3.63 0.48 3.2 1.4 1-9 0.79 5.8 0.7 3.0 1.0 3 : 1 3 : 1 2.2% EXCEL R-1 0.066 0.38 1.96 0.62 3.4 1.5 1-9 0.79 5.8 0.7 3.0 1.0 3:1 3 :1 2.2% VEGETATED 0.035 0.23 3.28 0.32 2.5 0.9 1-8 0.80 5.8 0.7 3.0 1.0 3 :1 3 :1 1.2% EXCEL R-1 0.066 0.50 1.52 0.37 4.2 2.0 1-8 0.80 5.8 0.7 3.0 1.0 3 :1 3 :11 1.2% VEGETATED 0.035 0.30 1 2.58 0.22 2.9 1.2 1-7 1.38 5.8 0.7 5.2 1.0 3 :1 3 :1 2.8% EXCEL S-2 0.066 0.55 2.35 0.96 4.5 2.2 1-7 1.38 5.8 0.71 5.2 1.0 3 :1 3 :1 2.8% VEGETATED 0.035 0.33 4.03 0.67 3.1 1.3 1-6 1.08 5.8 0.7 4.1 1.0 3 :1 3 :1 5.9% EXCEL S-2 0.066 0.33 3.11 1.21 3.1 1.3 1-6 1.08 5.8 0.7 4.1 1.0 3 :1 3 :1 5.9% VEGETATED 0.035 0.20 5.15 0.73 2.3 0.$ 1-5 0.47 15.8 0.7 1.8 1.0 13 :1 3 :1 5.6% EXCEL S-2 0.0661 0.18 2.56 1 0.61 2.1 1 0.7 1-5 0.47 5.8 0.7 1.8 1.0 3 :1 3 :11 5.6% VEGETATED 0.035 0.11 4.10 0.38 1.7 0.4 1-4 0.35 5.8 0.7 1.3 1.0 3 :1 3 :1 5.1% EXCEL R-1 0.066 0.15 2.30 0.46 1.9 0.6 1-4 0.35 5.8 0.71 1.3 1.0 3:1 3:1 5.1% VEGETATED 0.035 0.09 3.60 0.29 1.6 0.4 1-3 1.13 5.8 0.7 4.3 1.0 3 :1 3 :1 4.2% JEXCEL R-1 0.066 0.40 2.72 1.04 3.5 1.6 1-3 1.13 5.8 0.7 4.3 1.0 3:1 3 :1 4.2% VEGETATED 0.035 0.24 4.56 0.62 2.5 0.9 2-5 1.62 5.8 0.7 6.1 1.0 3 : 1 3 :1 1.8% EXCEL R-1 0.0661 0.78 1.97 0.88 5.9 1 3.1 2-5 1.62 5.8 0.7 6.1 1.0 3 :1 3 :1 1.8% VEGETATED 0.035 0.45 3.44 0.50 3.8 1.8 2-4 0.66 5.8 0.7 2.5 1.0 3 :1 3 :1 1.7% EXCEL R-1 0.066 0.37 1.71 0.39 3.3 1.5 2-4 0.66 5.8 0.71 2.5 1.0 3 :1 3 :11 1.7% VEGETATED 0.035 0.22 2.85 0.23 2.4 0.9 2-3 1.35 5.8 0.7 5.1 1.0 3 :1 3 :1 1.8% JEXCEL R-1 0.066 0.66 1.93 0.74 5.2 2.6 2-3 1.35 5.8 0.7 5.1 1.0 3 :1 3 :1 1.8% VEGETATED 0.035 0.38 3.34 0.43 3.4 1.5 2-2 1.79 5.8 0.7 6.7 1.0 13 :1 3 : 1 1.5% EXCEL R-1 0.0661 0.92 1.83 1 0.86 6.8 1 3.7 2-2 1.79 5.8 0.7 6.7 1.0 3 :1 3 :1 1.5% VEGETATED 0.035 0.53 3.22 0.49 4.3 2.1 3-3A 1.00 5.8 0.7 3.8 1.0 3 :1 3 :1 1.5% EXCEL R-1 0.066 0.55 1.72 0.51 4.5 2.2 3-3A 1.00 5.8 0.71 3.8 1.0 3 :1 3 :11 1.5% VEGETATED 0.035 0.32 2.94 0.30 3.0 1.3 3-3B 1.01 5.8 0.7 3.8 1.0 3 :1 3 :1 1.5% EXCEL R-1 0.066 0.55 1.72 0.61 4.5 2.2 3-38 1.01 5.8 0.7 3.8 1.0 3 :1 3 :1 1.5% VEGETATED 0.035 0.32 2.94 0.30 3.0 1.3 3-2A 0.66 5.8 0.7 2.5 1.0 1 3 :1 3 :1 1.5% EXCEL R-1 0.0661 0.39 1.62 1 0.37 3.5 1.6 3-2A 0.66 5.8 0.7 2.5 1.0 13 :1 3 :1 1.5% VEGETATED 0.0351 0.23 2.71 0.22 2.5 0.9 3-2B 0.66 5.8 0.7 2.5 1.0 3 :1 3 :1 1.5% EXCEL R-1 0.0661 0.39 1.62 0.36 3.4 1.5 3-2B 0.66 5.810.71 2.5 1.0 3 :1 3 :11 1.5% VEGETATED 0.035 0.23 2.71 0.22 2.5 0.9 4-3 1.28 5.8 0.71 4.8 1.0 3 :1 3 :11 4.8% EXCEL S-2 0.066 0.41 2.94 1.24 3.6 1.7 4-3 1.2$ 5.8 0.71 4.8 1.0 3 :1 3 :1 4.8% VEGETATED 0.035 0.25 4.93 0.73 2.5 1.0 4-2 0.67 5.8 0.71 2.5 1.0 13 :1 3 :1 4.8% EXCEL S-2 0.066 0.24 2.61 0.73 2.5 1.0 4-2 0.67 5.8 0.7 2.5 1.0 13 :1 3 : 1 4.8% VEGETATED 0.035 0.15 4.25 0.45 1.9 0.6 BASIN 1 19.10 5.8 0.5 55.4 12.0 3 :1 3 : 1 1.0% EXCEL R-1 0.066 1.56 2.36 0.97 21.9 23.4 BASIN 1 19.10 5.8 0.5 55.4 12.0 3 : 1 3 : 1 1.0% VEGETATED 0.035 1.00 3.72 0.62 18.3 14.9 TYP 0.30 5.8 0.7 1.1 1.0 3 : 1 3 : 1 2.0% EXCEL R-1 0.066 0.18 1.55 0.23 2.2 0.7 TYP 0.30 5.8 0.7 1.1 1.0 3 : 1 3 : 1 2.0% VEGETATED 0.035 0.11 2.48 0.14 1.7 0.5 LINER MAX. SHEAR MAX. VELOCITY EXCEL R-1 1.6 PSF 5.5 FPS EXCEL S-2 2.0 PSF 7.0 FPS EXCEL PP5-8 1.5 PSF 6.0 FPS EXCEL PP5-10 2.3 PSF 7.0 FPS EXCEL PP5-12 2.7 PSF 8.0 FPS VEG. VELOCITY 5.5 FPS 7.0 FPS 10 FPS 12 FPS 15 FPS 00 CV N of �O M eC M tn N M M 0 0 F z X x �a uj N N C Q N CD DD 000 N O N M N Gr� OG .ga N_. Tr 00 M--� Q—�- OOd'100 N .... N n .. m C n N Cn N z X X z 0 V3 m 'D -n fA .... O O iD O 00 00 N V N d' u j O: p p 00 O rY ID00 oo n r h O•-����CG Q...7 rry — ^ ma r4 C � F N x X Lztl N Un m n Q Q V1 <. M O Qo ps V� II pay Cel> °a 3 x �3 X� 3z Q L d W Q V) z d y c w U zz w �� wApaQ� uj< t>>c<cy w �at��qq tn G F Q,� ciG cs�7yy oG tvz�tzli� cG inC"=dQCF� zz u C) w-t ad GU jGpI-- r CYCYtaE-�xw� 0 -; O"� w wp0O�>w UU-.FCiCY't ww �Fm>v,Q3 chi Calculate Skimmer Size Basin Volume in Cubic Feet 45,000 Cu.Ft Skimmer Size 4.0 Inch Days to Drain* 3 Days Orifice Radius 1.7 Inch[es] Orifice Diameter 3.5 Inch[es] '!n NC assume 3 days to drain Estimate Volume of Basin Length Width Top of water surface in feet Feet VOLUME 0 Cu. Ft. Bottom dimensions in feet Feet Depth in feet Feet Calculate Skimmer Size Basin Volume in Cubic Feet 16,000 Cu.Ft Skimmer Size 2.5 Inch Days to Drain" 3 Days Orifice Radius 1.2 Inch[es] Orifice Diameter 2.3 Inch[es] '!n NC assume 3 days to drain Estimate Volume of Basin Length Width Top of water surface In feet Feet VOLUME 0 Cu. Ft. Bottom dimensions In feet Feet Depth in feet Feet Calculate Skimmer Size Basin Volume in Cubic Feet 2,300 Cu.Ft Skimmer Size 1.5 Inch Days to Drain* 3 Days Orifice Radius 0.5 Inch[es] Orifice Diameter 1.0 Inch[es] 'In NC assume 3 days to drain Estimate Volume of Basin Length width Top of water surface in feet Feet VOLUME 0 Cu. Ft. Bottom dimensions in feet Feet Depth in feet Feet Circular Channel Analysis & Design Solved with manning's Equation Open Channel - Uniform flow Worksheet Name: MIDDLETON PHASE I Comment: 1-1 Solve For Actual Depth Given Input Data: Diameter.......... Slope............. Manning's n ....... Discharge......... Computed Results: Depth. ........... Velocity.......... Flow Area......... Critical Depth.... Percent Full...... Full Capacity..... QMAX @.94D ........ Froude Number..... 3.00 ft 0.0500 ft/ft 0.013 40.60 cfs 1.07 ft 17.96 fps 2.26 sf 2.08 ft 35.65 % 149.14 cfs 160.43 cfs 3.57 (flow is Supercritical) Open Channel Flow Module, Version 2.01 (c) 1990 Haestad Methods, Inc. * 37 Brookside Rd * Waterbury, Ct 06708 L 6 r Circular Channel Analysis & Design Solved with Manning's Equation Open Channel - Uniform flow Worksheet Name: MIDDLETON PHASE 1 Comment: 2-1 Solve For Actual Depth Given Input Data: Diameter.......... Slope ............. Manning's n....... Discharge......... Computed Results: Depth. ........... Velocity.......... Flow Area......... Critical Depth.... Percent Full...... Full Capacity..... QMAX @.99D........ Froude Number..... 2.50 ft 0.0060 ft/ft 0.013 22.00 cfs 1.53 ft 6.99 fps 3.15 sf 1.60 ft 61.20 % 31.77 cfs 34.18 cfs 1.08 (flow is Supercritical) Open Channel Flow Module, Version 2.01 (c) 1990 Haestad Methods, Inc. * 37 Brookside Rd * Waterbury, Ct 06708 -z 0,ic Z L= JS' = ZA" Circular Channel Analysis & Design Solved with Manning's Equation Open Channel - Uniform flow Worksheet Name: MIDDLETON PHASE 1 Comment: 3-1 Solve For Actual Depth Given Input Data: Diameter.......... Slope ............. Manning's n....... Discharge......... Computed Results: Depth ............. Velocity.......... Flow Area......... Critical Depth.... Percent Full...... Full Capacity..... QMAX @.94D........ Froude Number..... 2.00 ft 0.0270 ft/ft 0.013 13.50 cfs 0.83 ft 10.89 fps 1.24 sf 1.32 ft 41.68 % 37.17 cfs 39.99 cfs 2.42 (flow is Supercritical) Open Channel Flow Module, Version 2.01 (c) 1990 Haestad Methods, Inc. * 37 Brookside Rd * Waterbury, Ct 06708 -Z 0—j6- Z. L (-L,/-�s5 Jl sn-Ar Circular Channel Analysis & Design Solved with Manning's Equation Open Channel - Uniform flow Worksheet Name: MIDDLETON PHASE 1 Comment: 4-1 Solve For Actual Depth Given Input Data: Diameter.......... slope ............. Manning'. n....... Discharge......... Computed Results: Depth. ........... velocity.......... Flow Area......... Critical Depth.... Percent Full...... Full Capacity..... QMAX @.94D........ Froude Number..... 1.50 ft 0.1000 ft/ft 0.013 7.90 cfs 0.50 ft 15.41 fps 0.51 sf 1.09 ft 33.19 % 33.22 cfs 35.73 cfs 4.51 (flow is Supercritical) Open Channel Flow Module, version 2.01 (c) 1990 Haestad Methods, Inc. * 31 Brookside Rd * Waterbury, Ct 06708 zO.J4 ZZ,.r F81 8.06.E Z z APRON MATERIAL ,LENSz ?F AP'RON TO PROTECT CULVERT L1 TO PREVENT SCOUR HOLE USE L2 ALWAYS L2 1 STONE FILLING (FINE) CL. A 3 x Do 4 x Do 2 STONE FILLING (LIGHT) CL. 8 3 x Do 6 x Do 3 STONE FILLING (MEDIUM) CL, 1 4 x Do 8 x Do 4 STONE FILLING (HEAVY) CL. 1 4 x Do & x Do 5 STONE FILLING (HEAVY) CL. 2 _ 5 x Do 10 x Do 6 STONE FILLING (HEAVY) CL. 2 _ - 6 x Do 10 x Do _ 7 SPECIAL STUDY REQUIRED (ENERGY DISSIPATORS, STILLING BASIN OR LARGER SIZE STONE). Fig. 8.06.b.2 Width = 3 times pipe dia. (min.) DETEIRMINATION OF STONE SIXES FOR DUMPED STONE CHANNEL LININGS AND REVETMENTS Step 1) Use figure 8.06.0 to determine maximum stone size (e.g, for 12 Fps=20" or 550 lbs. Step 2) Use figure 8.06.b.4 to determine acceptable size range for stone (for 12 FPS it is 125-500 lbs, for 75% of stone, and the maximum and minimum range in weight should be 25-5001bs.) Note: In determining channel velocities for stone linings and reveunent, use the following coefficients of roughness: Diameter Mannin's Min, thickness (inches} "n„ of U•ning (inches) Fine 3 0.031 Light 6 0.035 Medium 13 0.040 Heavy 23 0.044 9 12 X2 18 18 24 30 36 (Channels) (Dissapators) Rev. 12,93 Appendices NEW YORK DOT DISSIPATOR METHOD FOR USE IN DEFINED CHANNEL; (Source; 'Bank and channel lining procedures", New York Department of Transportation, Division of Design and Construction, 197I.) Note: To use the following chart you must know: (1) Q full capacity (2) Qlo Q) V full (c) V10 where Q = discharge in efs and V = Velocity in F1:1S. ESTIMATION OF STONE SIZE AND DIMENSIONS FOR CULVERT APRONS Step 1) Compute flow velocity V. at culvert or paved channel outlet. Step 2) For pipe culverts Do is diameter. For pipe arch, arch and box culverts, and paved channel outlets, Do=Ao, where A.= cross -sectional area of flow at outlet. For multiple culverts, use Do=1.25xDo of single culvert. Step 3) For apron grades of 10% or steeper, use recornmend aUons For next -higher zone, (Zones I through 6), 2 r- 5 0 '_ DIAMETER {Ft.} Figure 8.06.b.1 3h Roy, 12H3 8.06.5