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20070208 Ver 2_More Info Received_20071203
~Z~ CLH desi n .a. o7-a~$~a g ~p MacGregor Park, 125 Ea'inburgh South, Suite 310 Cary, North Carolina 27511 Phone.• (9I9) 319-6716 Fax.• (9I9) 319-7516 30-Nov-07 TO: Cyndi Karoly - NC Division of Water Quality FROM: Steven J. Miller, PE -CLH Design, PA D ~ ~ ~ ~~~ RE: 401 EXPRESS REVIEW PERMIT HERITAGE HIGH SCHOOL D` C ~ 2007 WAKE FOREST, NC CC: Debbie Edwards - S&EC :~T~AWO:t .a ~.~,7 t~ . ~ v~; ~Fi~r; ' RAblCh File (l 123-prmt) Dear Ms. Karoly: Attached please find two (2) hard copies of additional and revised calculations requested in your review letter dated 29-Nov-07. Electronic copies of these calculations were transmitted to Joseph Gyamfi on 30-Nov-07. We offer the following responses to your comments: I. Diffuse Flow Provisions: a. For the 1-inch storm, please provide calculations for the design volume above permanent pool level... Response: Calculations for the 1-in water quality pool volume, surface area, dewatering orifice, draw-down time and flow velocities at the pipe outlet and the end of the riprap apron of each BMP are attached. The velocity of the discharge at the end of the riprap . channel was determined by analyzing the riprap apron as a riprap channel with vertical side slopes. The velocities were all calculated to be well below 2.0-fps at the end of the riprap aprons. Below is a summary of the data requested: Pond A Pond A is a dry detention pond. The volume of the 1-in storm is 3,661-cf and discharges at a maximum rate of 2.99-cfs through an 8-in orifice with a maximum head of 3.5-ft above the floor of the pond (or 3'-2" above the centroid of the orifice). The velocity of the discharge at the end of the pipe was calculated to be 8.9-fps and the velocity at the end of the riprap apron was calculated to be 0.83-fps. Pond B Pond B is a wet detention pond. The volume of the l-in storm is 34,387-cf and discharges at a maximum rate of 0.82-cfs through a 4-in orifice with a maximum head of 4-ft above the permanent pool (or 3'-10" above the centroid of the orifice). The discharge velocity at the end of the pond outlet pipe is 3.3-fps and the velocity at the end of the riprap apron is 0.23-fps. i i -3o-o~-i~wQ-a.a~c 30-Nov-07 Page 2 Pond C Pond C is a wet detention pond. The volume of the 1-in storm is 13,206-cf and discharges at a maximum rate of 0.49-cfs through a 3-in orifice with a maximum head of 4.5-ft above the permanent pool (or 4'-4.5" above the centroid of the orifice). The discharge velocity at the end of the pond outlet pipe is 2.9-fps and the velocity at the end of the riprap apron is 0.27-fps. Pond D Pond D is a wet detention pond. The volume of the 1-in storm is 24,379-cf and discharges at a maximum rate of 0.57-cfs through a 4-in orifice with a maximum head of 2-ft above the permanent pool (or 1'-10" above the centroid of the orifice). The discharge velocity at the end of the pond outlet pipe is 2.9-fps and the velocity at the end of the riprap apron is 0.33-fps. Pond G Pond G is a wet detention pond. The volume of the 1-in storm is 2,372-cf and discharges at a maximum rate of 0.03-cfs through a 1-in orifice with a maximum head of 1-ft above the permanent pool (or 11.5" above the centroid of the orifice). The discharge velocity at the end of the pond outlet pipe is 0.1-fps and the velocity at the end of the riprap apron is 0.13-fps. * Note that there are no ponds 'E' and 'F'. 2. Wet Detention Pond G: a. Please revise flow and velocity calculations through Channels 50 and 51 with the appropriate section slopes... Response: The calculations for Channels 50 and 51 have been revised using channel slopes of 18.4% and 13.3°Io respectively. Non-erosive flow velocities of less than 2-fps were calculated for both of these natural channels (1.60-fps for Channel 50 and 1.84-fps for Channe151). Thank you very much for your assistance in the permitting of this project. Please contact me directly if you have any questions about these new calculations. Sincerely, I1-30-07-DWQ-4.duc DESK ltii GAi.~GULATIOItiiS GIVILISITE WORK HERITAGE HIGH SCHOOL WAKE FOREST, NORTH CAROLINA DECEMBER, 2006 REV. MARCH , 2007 REV. Nov. 2007 <`" a ~Illllltll/d/0/ ~.~``~,p~•~ C~Ro ~/~f, , ~ ~ ©. S+ . ' C' ~ ~e ~ ~ °..s ~ Y~.~ o w • p 0 • ~ m• (nom • FjV ~~ ~~ •••. cr~E • •• ~, c~` ••.....••• ~, ,~ \~-~, ~~ e''~~~~N',' `~ 1 ~~ CLH desi n .a. g ~p MacGregor Park, 125 Edinburgh South, Suite 310 Calms, North Carolina 27511 Phone: (9I9) 3I9-6716 Fax.• (919) 319- 7516 ~ ~ t ~ [~; k, ;DATE a ~ ,r ~~ .. 12-04-06 PROJECT NAME PROJECT NO ~ ~~/j Herita a Hi h School 1123 ~ ~ ° ~ LOCATION gY ~- ~~ Wake Forest, NC K,q~ .~ ~ Drainage Area, (DA) = 7.39 ac Impervious Area (c=0.95) = 0.71 ac Pervious Area (c=0.35) = 6.68 ac Cc = 0.41 Permanent Water Quality Pool Impervious = 10 Permanent Pool Depth = 0.00 ft SA / DA Ratio = N/A Required Surface Area = 0 sf Temporary Water Quality Pool Design Storm Rainfall 1.00 in (Typically 1-in) Runoff Coeff. (Rv = 0.05 + 0.009 (% Imperv.)) = 0.14 in/in Required Volume (design rainfall)(Rv)(DA) = 3,661 cf Avg. Full Depth Surface Area Provided= N/A sf Surface Area at 1"Storage Volume= 9,600 sf 1'" Storage Volume Provided= 19,700 cf Max. Head of Water Above Dewatering Hole = 3.50 ft Diameter of Dewatering Hole = 8.0 in s:\1319\0001\calcs\1123-POndSize-Pond A-void.XLS printed: 11/30/2007 2:36 PM Page 1 of 1 ,. `~ ' ' ~~ ~ " ,~ ~~ a. - ~ 1 DATE DESIGN PHASE - , e f ~ , ; ,.~ ~ 11 /29/07 S D / / PROJECT NAME PROJECT NO DD / / Herita a High School 1123 CD / X / LOCATION BY REV / / Wake Forest, NC KAL OTHER / / CHECKED BY (SPECIFY) X ~~ RIPRAP LINING -Permissible Sheer and Capacity Outlet No: DRY POND A Drainage Area, (DA) = 7.39 ac Sta from: Impervious Area (c=0.95) = 0.71 ac Sta to: Pervious Area (c=0.35) = 6.68 ac Section Length: 20 ft Cc = 0.41 Section Slope: 2.00 % One inch/hr storm= 3.01 cfs Riprap Class: 2 (d50= 14") Temp. Storage Depth = 3.50 ft Allowable Sheer: 4.67 Ib/sf Diameter of Dewatering Hole = 8.0 in Allowable Depth: 1.00 ft Drawdown Rate= 2.99 cfs CZ = c~1 ~ z~ t, -.~ Swale sizing method done by manipulation of Manning's Equation to find the depth ~- 3,,2„~ 3 /!o7-Fr of flow that matches the known flow conditions. Performed by trial and error. ~ ¢ ~ o. 3'>'9-sF ` (_~ 3 ~~~0 INPUT DATA Qp = 2.99 cfs flow by drawdown n = 0.15 Class 2 Riprap Manning's Coefficient (dimensionless) S = 0.02 ft/ft longitudinal slope (ft of fall per ft of run) Zreq = 2.13 quantity to equate to Zav M = 0 :1 side slope of channel (ft of run : 1 ft of rise) NORMAL DEPTH AND VELOCITY B D A P R Zav Remark 6 0.50 3.00 7.00 0.43 1.71 shallow 6 0.30 1.80 6.60 0.27 0.76 shallow 6 0.40 2.40 6.80 0.35 1.20 shallow 6 0.60 3.60 7.20 0.50 2.27 OK B = bottom width of trapezoidal channel Zav =Zreq D = normal depth of flow A = cross-sectional area of flow A ~xr~ _ Qn P = wetted perimeter of the channel 1,4g ~~ R = hydraulic radius of the channel Liss TH~~ Normal Depth, D = 0.60 ft Depth O.K. ~ 2 ~s .~~ - .-- Velocity= 0.83 fps Velocity O.K. SHEAR STRESS T = yds =shear stress in Ib/sq-ft Y = unit weight of water, 62.4 Ib/cu-ft D = normal depth of flow in ft S =longitudinal slope in ft/ft shear stress, T = 0.75 Ib/sq-ft Sheer O.K. FINAL OUTLET LINING DIMENSIONS length, L= 20 ft width, W = 6 ft Permanent Channel Lining: Class 2 Riprap (REF: Malcom, 1991) Page 1 i ~ S `' ~`.. <, . PROJECT NAME Herita a Hi h School LOCATION Wake Forest, NC Storm Outlet Structure FES No.= H10 Pipe Dia= 30 in Qio= 31.63 cfs Qfull = 42.00 cfs Vfull = 8.50 fps Q1 = 4.65 cfs From Fig. 8.06.b.1: From Fig. 8.06.b.2: ~~ - ~~ ~ __ r - -- Length Storm Outlet Structure FES No.= POND A Pipe Dia= in 010 = 7.45 cfs Qfull = 66.20 cfs Vfull = 21.10 fps Drawdown = 2.99 cfs From Fig. 8.06.b.1: From Fig. 8.06.b.2: ~~~~~ ~~ ~~j ~ ~~ ~-~~ _ _i I~ ~E~r~~tn -- - DATE 11-29-07 PROJECT NO 1123 BY KAL CHECKED BY SJM Q1/Qfull = ViNfull = Zone 0.11 Qio/Qfull = 0.67 VNfull = Vio = Slope= Pipe Inv= V1 = D50 DMAX Riprap Class Apron Thickness Apron Length Apron Width = 3xDia QD/Qfull = VDNfull = Zone 0.05 Qio/Qfull = 0.42 VNfull = V10= Slope= Pipe Inv= VDrawdown = D50 = DMAX = Riprap Class = Apron Thickness = Apron Length = Apron Width = 3xDia = DESIGN PHASE PRELIM CONSTR REVISION RECORD OTHER (SPECIFY) 0.75 1.10 9.3 fps 5.0 215.00 ft 5.7 fps 3 10 in 15 in 1 22.5 in 20 ft 8 ft 0.11 0.67 14.2 fps 2.0 263.00 ft 8.9 fps ~' 5 14 in 21 in 2 31.5 in 20 ft 6 ft x ii i~' ~ ~ c .~ , 4 `_ n ~ ~ N . V ' t ~ DATE , 1~ ... ~, ' " ~ _ 12-04-06 ' PROJECT NAME PROJECT NO _, ~ // ~~ II Heritage High School 1123 +j iJ_ ~ ,_ -~ r ~ LOCATION BY ,1 ~,, Wake Forest, NC KAL ~ '~ Drainage Area, (DA) = 16.30 ac Impervious Area (c=0.95) = 9.62 ac Pervious Area (c=0.35) = 6.68 ac Cc = 0.70 Permanent Water Quality Pool Impervious = 59 Permanent Pool Depth = 3.00 ft SA / DA Ratio = 2.37 (from Tbl. 1.1) Required Surface Area = 16,804 sf Temporary Water Quality Pool Design Storm Rainfall 1.00 in Runoff Coeff. (Rv = 0.05 + 0.009 (% Imperv.)) = 0.58 in/in Required Volume (design rainfall)(Rv)(DA) = 34,387 cf Avg. Full Depth Surface Area Provided= Surface Area at 1"Storage Volume= 1" Storage Volume Provided= Max. Head of Water Above Dewatering Hole = Diameter of Dewatering Hole = Detention (Draw-Down) Time (Per NCDENR) _ Table 1.1 16,900 sf 35,209 sf 90,190 cf 4.00 ft 4.0 in 3.9 days (Typically 1-in) SA / DA Ratios Permanent Pool Depth (ft) Impervious 3.0 4.0 5.0 6.0 10 0.59 0.49 0.43 0.35 20 0.97 0.79 0.70 0.59 30 1.34 1.08 0.97 0.83 40 1.73 1.43 1.25 1.05 50 2.06 1.73 1.50 1.30 60 2.40 2.03 1.71 1.51 70 2.88 2.40 2.07 1.79 80 3.36 2.78 2.38 2.10 90 3.74 3.10 2.66 2.34 `_ i - ~ '; „~;:' ~ ~ ~, ~ DATE DESIGN PHASE ' ~~ - ' ~~ z"` . 11/29/07 SD / / PROJECT NAME PROJECT NO DD / / Heritage High School 1123 CD / x / LOCATION BY REV / / Wake Forest, NC KAL OTHER / / CHECKED BY (SPECIFY) X ~~jlq RIPRAP LINING -Permissible Sheer and Capacity Outlet No: POND B Drainage Area, (DA) = 16.30 ac Sta from: Impervious Area (c=0.95) = 9.62 ac Sta to: Pervious Area (c=0.35) = 6.68 ac Section Length: 28 ft Cc = 0.70 Section Slope: 1.8 % One inch/hr storm= 11.48 cfs Riprap Class: 1 (d50= 10") Temp. Storage Depth = 4.00 ft Allowable Sheer: 3.33 Ib/sf Diameter of Dewatering Hole = 4.0 in Allowable Depth: 1.00 ft Drawdown Rate= 0.82 cfs Qcc~1.4 ZJCh Swale sizing method done by manipulation of Manning's Equation to find the depth ~ ~ 3~ I ou = 3. s3 ' of flow that matches the known flow conditions. Performed by trial and error. fJ = p . 0 67-s~ Cd . o•foo INPUT DATA Qp = 0.82 cfs flow by drawdown n = 0.409 Class 1 Riprap Manning's Coefficient (dimensionless) S = 0.018 ft/ft longitudinal slope (ft of fall per ft of run) Zreq = 1.68 quantity to equate to Zav M = 0 :1 side slope of channel (ft of run : 1 ft of rise) NORMAL DEPTH AND VELOCITY B D A P R Zav Remark 11 0.50 5.50 12.00 0.46 3.27 deep 11 0.40 4.40 11.80 0.37 2.28 deep 11 0.20 2.20 11.40 0.19 0.73 shallow 11 0.33 3.63 11.66 0.31 1.67 OK B = bottom width of trapezoidal channel Zav =Zreq D = normal depth of flow zr~ Qn A = cross-sectional area of flow _ ~ ~ P = wetted perimeter of the channel 1.49 CJs R = hydraulic radius of the channel G~sS 71Jr4~.l Normal Depth, D = 0.33 ft Depth O.K. 2 -fps :. ok- Velocity= 0.23 fps Velocity O.K. SHEAR STRESS T = yds =shear stress in Ib/sq-ft Y = unit weight of water, 62.4 Ib/cu-ft D = normal depth of flow in ft S =longitudinal slope in ft/ft shear stress, T = 0.37 Ib/sq-ft Sheer O.K. FINAL OUTLET LINING DIMENSIONS length, L= 28 ft width, W = 11 ft Permanent Channel Lining: Class 1 Riprap (REF: Malcom, 1991) Page 3 ' E ~ ~ ; G ~ ~ ~, PROJECT NAME Heritage High School (LOCATION Wake Forest, NC f 1 k: tp ~ S .~.i ~ Storm Outlet Structure FES No.= POND B Pipe Dia= in 010 = 6.04 cfs 0full = 122.00 cfs Vfull = 12.70 fps Drawdown = 0.82 cfs From Fig. 8.06.b.1: Storm Outlet Structure FES No.= POND Pipe Dia= 30 in Oio= 2.36 cfs Ofull = 44.20 cfs Vfull = 9.00 fps Drawdown = 0.49 cfs From Fig. 8.06.b.1: From Fig. 8.06.b.2: r ~~ ~~ _ ~S ~ r ~_ . ~5- S~ t-_{r1~,-?' DATE 11-29-07 PROJECT NO 1123 BY KAL CHECKED BY SJM OD/Ofull = 0.01 01o/Ofull = VDNfull = 0.26 VNfull = V10 = Slope= Pipe Inv= VDrawdown = Zone = From Fig. 8.06.b.2: Dso = 10 in DMAX = 15 in _ _ ~ - Riprap Class = 1 i. Apron Thickness = 22.5 in _ v Apron Length = 28 ft Apron Width = 3xDia = 11 ft _-~e~,at.h__ OD/Ofull = 0.01 Oio/Ofull = VDNfull = 0.32 VNfull = V10= Slope= Pipe Inv= VDrawdown = Zone = DESIGN PHASE PRELIM CONSTR REVISION RECORD OTHER (SPECIFY) 0.05 0.52 6.6 fps 1.8 214.00 ft 3.3 fps ~~ 3 0.05 0.52 4.7 fps 4.0 211.00 ft 2.9 fps ~---- 3 D5o = 10 in Dnnax = 15 in Riprap Class = 1 Apron Thickness = 22.5 in Apron Length = 20 ft Apron Width = 3xDia = 8 ft ~s; _ i ~ ~ : ` ~ $ ~ ^ ~ DATE ;, ~ ~ ~ ~ h y'` ~ ~ ~ 4 ` , _ '~ d . , ~ _ ~ 6/28/06 /' J , / PROJECT NAME PROJECT NO ll /,i~ ~ ~~ ~ ~~ Herita a Hi h School 1123 U (r_ I~ ~ LOCATION gy I1j ~~ Wake Forest, NC KAL '~ •• ~ Drainage Area, (DA) = 12.10 ac Impervious Area (c=0.95) = 3.37 ac Pervious Area (c=0.35) = 8.73 ac Cc = 0.52 Permanent Water Quality Pool Impervious = 28 Permanent Pool Depth = 3.00 ft SA / DA Ratio = 1.26 (from Tbl. 1.1) Required Surface Area = 6,644 sf Temporary Water Quality Pool Design Storm Rainfall 1.00 in (Typically 1-in) Runoff Coeff. (Rv = 0.05 + 0.009 (% Imperv.)) = 0.30 in/in Required Volume (design rainfall)(Rv)(DA) = 13,206 cf Avg. Full Depth Surface Area Provided= 8,901 sf Surface Area at 1"Storage Volume= 21,817 sf 1"Storage Volume Provided= 69,498 cf Max. Head of Water Above Dewatering Hole = 4.50 ft Diameter of Dewatering Hole = 3.0 in Detention (Draw-Down) Time (Per NCDENR) = 4.5 days Table 1.1 SA / DA Ratios Permanent Pool Depth (ft) Impervious 3.0 4.0 5.0 6.0 10 0.59 0.49 0.43 0.35 20 0.97 0.79 0.70 0.59 30 1.34 1.08 0.97 0.83 40 1.73 1.43 1.25 1.05 50 2.06 1.73 1.50 1.30 60 2.40 2.03 1.71 1.51 70 2.88 2.40 2.07 1.79 80 3.36 2.78 2.38 2.10 90 3.74 3.10 2.66 2.34 s:11319~00011calcs\1123-PondSize-Pond C.XLS printed: 11/302007 9:22 AM Page 1 of 1 ~_ `' "` ' ~ ~,~~;,i ~~ DATE DESIGN PHASE ~ I `_I. 11/29/07 SD / / PROJECT NAME PROJECT NO DD / / Herita a Hi h School 1123 CD / X / LOCATION BY REV / / Wake Forest, NC KAL OTHER / / CHECKED BY (SPECIFY) ~i/l R/PRAP LINING -Permissible Sheer and Capacity Outlet No: POND C Drainage Area, (DA) = 12.10 ac Sta from: Impervious Area (c=0.95) = 3.37 ac Sta to: Pervious Area (c=0.35) = 8.73 ac Section Length: 20 ft Cc = 0.52 Section Slope: 4.0 % One inch/hr storm= 6.26 cfs Riprap Class: 1 (d50= 10") Temp. Storage Depth = 4.50 ft Allowable Sheer: 3.33 Ib/sf Diameter of Dewatering Hole = 3.0 in AI-owable Depth: 1.00 ft Drawdown Rate= 0.49 cfs ' s Equation to find the depth Swale sizing method done by manipulation of Manning of flow that matches the known flow conditions. Performed by trial and error. INPUT DATA Op = 0.49 cfs flow by drawdown n = 0.409 Class 1 Riprap Manning's Coefficient (dimensionless) S = 0.04 ft/ft longitudinal slope (ft of fall per ft of run) Zreq = 0.68 quantity to equate to Zav M = 0 :1 side slope of channel (ft of run : 1 ft of rise) NORMAL DEPTH AND VELOCITY B D A P R Zav Remark 8 0.50 4.00 9.00 0.44 2.33 deep 8 0.40 3.20 8.80 0.36 1.63 deep 8 0.20 1.60 8.40 0.19 0.53 shallow 8 0.23 1.84 8.46 0.22 0.67 OK B = bottom width of trapezoidal channel _ Zatr Zreq D = normal depth of flow A = cross-sectional area of flow A R2r~ _ ~n P = wetted perimeter of the channel 1.19 Vs R = hydraulic radius of the channel . Legs 'T61,4r~ Normal Depth, D = 0.23 ft Depth O.K. ~ Z~FPS .: Velocit = 0.27 fps Velocity O.K. SHEAR STRESS T = yds =shear stress in Ib/sq-ft Y = unit weight of water, 62.4 Ib/cu-ft D = normal depth of flow in ft S =longitudinal slope in ft/ft shear stress, T = 0.57 Ib/sq-ft Sheer O.K. FINAL OUTLET LINING DIMENSIONS length, L= 20 ft width, W = 8 ft Permanent Channel Lining: Class 1 Riprap (REF: Malcom, 1991) Page 4 f ~ ~ c DATE ,~r~.,~~'~ 11-29-07 PROJECT NAME PROJECT NO Herita a High School 1123 LOCATION BY Wake Forest, NC KAL CHECKED BY SJM Storm Outlet Structure FES No.= POND B Pipe Dia= in 010 = 6.04 cfs Ofull = 122.00 cfs Vfull = 12.70 fps Drawdown = 0.82 cfs From Fig. 8.06.b.1: OD/Ofull = 0.01 Qio/Qfull = VDNfull = 0.26 VNfull = V10 = Slope= Pipe Inv= VDrawdown = Zone = DESIGN PHASE PRELIM CONSTR REVISION RECORD OTHER (SPECIFY) 0.05 0.52 6.6 fps 1.8 214.00 ft 3.3 fps ~-~ 3 From Fig. 8.06.b.2: D5o = 10 in DMAX = 15 in - Riprap Class = 1 s Apron Thickness = 22.5 in 3 Apron Length = 28 ft `--- Apron Width = 3xDia = 11 ft - L.er~yth -_-~ Storm Outlet Structure FES No.= POND Pipe Dia= 30 in Qio= 2.36 cfs Ofull = 44.20 cfs Vfull = 9.00 fps Drawdown = 0.49 cfs From Fig. 8.06.b.1: OD/Ofull = 0.01 Qio/Qfull = VDNfull = 0.32 VNfull = V10 = Slope= Pipe Inv= VDrawdown = Zone = 0.05 0.52 4.7 fps 4.0 211.00 ft 2.9 fps -~---- 3 From Fig. 8.06.b.2: D5o = 10 in DM/ax = 15 in --_ -- Riprap Class = 1 { Apron Thickness = 22.5 in ~ ~ ~_ Apron Length = 20 ft ' "~ Apron Width = 3xDia = 8 ft Y __ ~~„yt~, ~ , i f C y : ~ &~ ~ {` ~ ~ ~~ .t ~, T~~ ~,;,x DATE _ !i 4 . ,n, it 1k th tom.; ~ ~ ~ ~ x i t ti- PROJECT NAME PROJECT NO l=J ~ !~ Herita a Hi h School 1123 ~ ~r ~~ ~ ri _=~r°~~ LOCATION BY ~ `~ Wake Forest, NC KAL `' °~ Drainage Area, (DA) = 20.20 ac Impervious Area (c=0.95) = 6.34 ac Pervious Area (c=0.35) = 13.86 ac Cc = 0.54 Permanent Water Quality Pool Impervious = 31 Permanent Pool Depth = 3.00 ft SA / DA Ratio = 1.39 (from Tbl. 1.1) Required Surface Area = 12,266 sf Temporary Water Quality Pool Design Storm Rainfall 1.00 in (Typically 1-in) Runoff Coeff. (Rv = 0.05 + 0.009 (% Imperv.)) = 0.33 in/in Required Volume (design rainfall)(Rv)(DA) = 24,379 cf Avg. Full Depth Surface Area Provided= Surface Area at 1"Storage Volume= 1"Storage Volume Provided= Max. Head of Water Above Dewatering Hole = Diameter of Dewatering Hole = Detention (Draw-Down) Time (Per NCDENR) _ Table 1.1 16,757 sf 37,053 sf 99,319 cf 2.00 ft 4.0 in 2.9 days SA / DA Ratios Permanent Pool Depth (ft) Impervious 3.0 4.0 5.0 6.0 10 0.59 0.49 0.43 0.35 20 0.97 0.79 0.70 0.59 30 1.34 1.08 0.97 0.83 40 1.73 1.43 1.25 1.05 50 2.06 1.73 1.50 1.30 60 2.40 2.03 1.71 1.51 70 2.88 2.40 2.07 1.79 80 3.36 2.78 2.38 2.10 90 3.74 3.10 2.66 2.34 s:11319100011ca1cs11123-POndSize-Pond D-rev paac.XLS panted: 11/30!2007 9:23 AM Page 1 of 1 ` ~ ~ ~ ~~~` DATE DESIGN PHASE ~'~ `> ' " 11/29/07 SD / / PROJECT NAME PROJECT NO DD / / Herita a High School 1123 CD / X / LOCATION BY REV / / Wake Forest, NC KAL OTHER / / CHECKED BY (SPECIFY) X ~' ~, R/PRAP LINING -Permissible Sheer and Capacity Outlet No: POND D Drainage Area, (DA) = 20.20 ac Sta from: Impervious Area (c=0.95) = 6.34 ac Sta to: Pervious Area (c=0.35) = 13.86 ac Section Length: 24 ft Cc = 0.54 Section Slope: 8.3 % One inch/hr storm= 10.87 cfs Riprap Class: 1 (d50= 10") Temp. Storage Depth = 2.00 ft Allowable Sheer: 3.33 Ib/sf Diameter of Dewatering Hole = 4.0 in Allowable Depth: 1.00 ft Drawdown Rate= 0.57 cfs Swale sizing method done by manipulation of Manning's Equation to find the depth of flow that matches the known flow conditions. Performed by trial and error. INPUT DATA Qp = 0.57 cfs flow by drawdown n = 0.409 Class 1 Riprap Manning's Coefficient (dimensionless) S = 0.083 ft/ft longitudinal slope (ft of fall per ft of run) Zreq = 0.54 quantity to equate to Zav M = 0 :1 side slope of channel (ft of run : 1 ft of rise) NORMAL DEPTH AND VELOCITY B D A P R Zav Remark 9 0.50 4.50 10.00 0.45 2.64 deep 9 0.40 3.60 9.80 0.37 1.85 deep 9 0.20 1.80 9.40 0.19 0.60 deep 9 0.19 1.71 9.38 0.18 0.55 OK B = bottom width of trapezoidal channel Zav = Zreq D = normal depth of flow A = cross-sectional area of flow ~ ~~~ _ 'Qn P = wetted perimeter of the channel 1.49 ~/s R = hydraulic radius of the channel LASS' TK -a-,J Normal Depth, D = 0.19 ft Depth O.K. ~ 2 FPS •'• °k' Velocit = 0.33 fps Velocity O.K. SHEAR STRESS T = yds =shear stress in Ib/sq-ft Y = unit weight of water, 62.4 Ib/cu-ft D = normal depth of flow in ft S =longitudinal slope in ft/ft shear stress, T = 0.98 Ib/sq-ft Sheer O.K. FINAL OUTLET LINING DIMENSIONS length, L= 24 ft width, W = 9 ft Permanent Channel Lining: Class 1 Riprap (REF: Malcom, 1991) Page 5 ~', ~' . ~ " ' `~- ~:~~ ~ - x° - . DATE DESIGN PHASE ~' ~ " '== ` ~~ ~ 11-29-07 PRELIM / / PROJECT NAME PROJECT NO CONSTR / / Herita a High School 1123 REVISION / x / LOCATION BY RECORD / / Wake Forest, NC KAL OTHER / / CHECKED BY (SPECIFY) SJM Storm Outlet Structure FES No.= POND D Q~/Qfull = 0.01 Q1o/Qfull = 0.36 Pipe Dia= in VNfull = 0.26 VNfull = 0.91 Qio = 28.37 cfs V1o = 10.1 fps Qfull = 78.60 cfs Slope= 8.3 Vfull = 11.10 fps Pipe Inv= 221.00 ft Drawdown = 0.57 cfs VDrawdown = 2.9 fps ~-~ From Fig. 8.06.b.1: Zone = 3 From Fig. 8.06.b.2: ~_ I __ Length rm Outlet Structure FES No.= J2 Pipe Dia= 15 in 010 = 0.81 cfs Qfull = 6.80 cfs Vfull = 5.60 fps Q1 = 0.11 cfs From Fig. 8.06.b.1: From Fig. 8.06.b.2: ci ~~ ~I ~`~ _ ~ :; P~'~_ 1 ~E~,gth I D5o = 10 in Dnna,x = 15 in Riprap Class = 1 Apron Thickness = 22.5 in Apron Length = 24 ft Apron Width = 3xDia = 9 ft Q1/Qfull = 0.02 Q1o/Qfull = 0.12 V1Nfull = 0.32 VNfull = 0.67 V1o = 3.8 fps Slope= 5.0 Pipe Inv= 215.00 ft V1 = 1.8 fps Zone = 2 Dso = 8 in Dnn,ax = 12 in Riprap Class = B Apron Thickness = 18 in Apron Length = 8 ft Apron Width = 3xDia = 4 ft .i' ;';'E ~,;;.~i~ R .. ~' ~ `~ DATE ~~ ,, - -. _ _ _., 2OJECT NAME PROJECT NO J ~ 'J~ i~ erita a Hi h School 1123 `~,~~~ f~ ri ,_ _, )CATION BY ~~ lake Forest, NC 1(AL ~/ '• ~ Drainage Area, (DA) = 1.91 ac Impervious Area (c=0.95) = 0.62 ac Pervious Area (c=0.35) = 1.29 ac Cc = 0.54 Permanent Water Quality Pool Impervious = 32 Permanent Pool Depth = 3.00 ft SA / DA Ratio = 1.44 (from Tbl. 1.1) Required Surface Area = 1,195 sf Temporary Water Quality Pool Design Storm Rainfall 1.00 in (Typically 1-in) Runoff Coeff. (Rv = 0.05 + 0.009 (% Imperv.)) = 0.34 in/in Required Volume (design rainfall)(Rv)(DA) = 2,372 cf Avg. Full Depth Surface Area Provided= Surface Area at 1"Storage Volume= 1" Storage Volume Provided= Max. Head of Water Above Dewatering Hole = Diameter of Dewatering Hole = Detention (Draw-Down) Time (Per NCDENR) _ Table 1.1 2,289 sf 4,869 sf 2,224 cf 1.00 ft 1.0 in 4.3 days SA / DA Ratios Permanent Pool Depth (ft) Impervious 3.0 4.0 5.0 6.0 10 0.59 0.49 0.43 0.35 20 0.97 0.79 0.70 0.59 30 1.34 1.08 0.97 0.83 40 1.73 1.43 1.25 1.05 50 2.06 1.73 1.50 1.30 60 2.40 2.03 1.71 1.51 70 2.88 2.40 2.07 1.79 80 3.36 2.78 2.38 2.10 90 3.74 3.10 2.66 2.34 5:\1319\0001\calcs\1123-PondSize-Pond G.XLS printed: 11/302007 9:23 AM Page 1 of 1 '~' `' `~~ DATE DESIGN PHASE ,` ,. ~` 11/29/07 SD / / PROJECT NAME PROJECT NO DD / / Heritage High School 1123 CD / X / LOCATION BY REV / / Wake Forest, NC KAL OTHER / / CHECKED BY (SPECIFY) X R/PRAP LINING -Permissible Sheer and Capacity Outlet No: POND G Drainage Area, (DA) = 1.91 ac Sta from: Impervious Area (c=0.95) = 0.62 ac Sta to: Pervious Area (c=0.35) = 1.29 ac Section Length: 12 ft Cc = 0.54 Section Slope: 21.00 % One inch/hr storm= 1.04 cfs Riprap Class: 1 (d50= 10") Temp. Storage Depth = 1.00 ft Allowable Sheer: 3.33 Ib/sf Diameter of Dewatering Hole = 1.0 in Allowable Depth: 1.00 ft Drawdown Rate= 0.03 cfs ~- G`i ~ a5 ' Swale sizing method done by manipulation of Manning s Equation to find the depth of flow that matches the known flow conditions. Pertormed by trial and error. INPUT DATA Op = 0.03 cfs flow by drawdown n = 0.409 Class 1 Riprap Manning's Coefficient (dimensionless) S = 0.21 ft/ft longitudinal slope (ft of fall per ft of run) Zreq = 0.02 quantity to equate to Zav M = 0 :1 side slope of channel (ft of run : 1 ft of rise) NORMAL DEPTH AND VELOCITY B D A P R Zav Remark 5 0.50 2.50 6.00 0.42 1.39 deep 5 0.20 1.00 5.40 0.19 0.32 deep 5 0.10 0.50 5.20 0.10 0.10 deep 5 0.04 0.20 5.08 0.04 0.02 OK B = bottom width of trapezoidal channel Zav = Zreq D = normal depth of flow A = cross-sectional area of flow A ~~~ __ ~n P = wetted perimeter of the channel 1.d9 -~./s R = hydraulic radius of the channel 1/~L < 2~ ~~~s Normal Depth, D = 0.04 ft Depth O.K. 1 ~~ /y Velocit = 0.13 fps Velocity O.K. ~ ~ ~_--~ SHEAR STRESS T = yds =shear stress in Ib/sq-ft Y = unit weight of water, 62.4 Ib/cu-ft D = normal depth of flow in ft S =longitudinal slope in ft/ft shear stress, T = 0.52 Ib/sq-ft Sheer O.K. FINAL OUTLET LINING DIMENSIONS length, L= 12 ft width, W = 5 ft Permanent Channel Lining: Class 1 Riprap (REF: Malcom, 1991) Page 2 'kC,~F PROJECT NAME Heritage High School LOCATION Wake Forest, NC Storm Outlet Structure FES No.= POND G Pipe Dia= in 010 = 8.51 cfs Ofull = 33.70 cfs Vfull = 19.10 fps Drawdown = 0.03 cfs From Fig. 8.06.b.1: From Fig. 8.06.b.2: s .~ ~__ - --1 Storm Outlet Structure FES No.= AS Pipe Dia= 15 in Qio= 1.33 cfs Ofull = 19.60 cfs Vfull = 15.90 fps Oi = 0.18 cfs From Fig. 8.06.b.1: From Fig. 8.06.b.2: T ,_ ~/- `~ ~ z . - 1 _ _. _~e~,gt~n QD/Ofull = VDNfull = Zone DATE 11-29-07 PROJECT NO 1123 BY KAL CHECKED BY SJM 0.00 Oio/Ofull = 0.00 VNfull = V10 = Slope= Pipe Inv= VDrawdown = D50 DMAX Riprap Class Apron Thickness Apron Length Apron Width = 3xDia 01/Ofull = ViNfull = Zone 0.01 Qio/Ofull = 0.26 VNfull = V10 = Slope= Pipe Inv= V1 = D50 = DMAX = Riprap Class = Apron Thickness = Apron Length = Apron Width = 3xDia = DESIGN PHASE PRELIM CONSTR REVISION RECORD OTHER (SPECIFY) 0.25 0.83 15.9 fps 21.0 261.00 ft 0.1 fps ~-" 3 10 in 15 in 1 22.5 in 12 ft 5 ft 0.07 0.52 8.3 fps 7.0 276.00 ft 4.1 fps 3 10 in 15 in 1 22.5 in 10 ft 4 ft ~ DATE DESIGN PHASE `~~ = 11-29-07 SD / / PROJECT NAME PROJECT NO DD / / Herita a HS 1123 CD / x / LOCATION BY REV / / Wake Forest, NC bsl OTHER / / CHECKED BY (SPECIFY) X ~1 PERMANENT LINING -Permissible Velocity and Capacity Channel No: CHANNEL-50 (Ex. Natural) Drainage Area: 0.75 ac Sta from: Design Fequency: 10 yrs Sta to: Time of Conc: 5 min Section Length: 90 ft Intensity: 7.22 in/hr Section Slope: 18.40 % Runoff Coeff: 0.30 Ret Class: B Discharge: 1.62 cfs Permissible Velocity: 4.50 fps Plus Pond 'G' Q: 8.51 cfs Allowable Depth: 2.00 ft = 10.13 cfs Swale sizing method done by manipulation of Manning's Equation to find the depth of flow that matches the known flow conditions. Performed by trial and error. INPUT DATA Qp = 10.13 cfs flow by Rational Method n = 0.22 Grass Manning's Coefficient (dimensionless) S = 0.184 ft/ft longitudinal slope (ft of fall per ft of run) Zreq = 3.49 quantity to equate to Zav M = 8 :1 side slope of channel (ft of run : 1 ft of rise) NORMAL DEPTH AND VELOCITY B D A P R Zav Remark 6 0.50 5.00 14.06 0.36 2.51 shallow 6 0.55 5.72 14.87 0.38 3.03 shallow 6 0.60 6.48 15.67 0.41 3.60 deep 6 0.59 6.32 15.51 0.41 3.48 OK B = bottom width of trapezoidal channel D = normal depth of flow Zav = 7req A = cross-sectional area of flow ~ Rzr~ _ Qn P = wetted perimeter of the channel 1.49 1/s R = hydraulic radius of the channel Normal Depth, D = 0.59 ft Depth O.K. Velocit = 1.60 fps Vel: O.K. SHEAR STRESS T = yds =shear stress in Ib/sq-ft Y = unit weight of water, 62.4 Ib/cu-ft D = normal depth of flow in ft S =longitudinal slope in ft/ft shear stress, T = 6.77 Ib/sq-ft FINAL CHANNEL LINING DIMENSIONS B = Eft side slopes, M = 8 :1 D = 2.0 ft top width, W = 38.0 ft Permanent Channel Lining: Grass (REF: Malcom, 1991) p~U ,~ ~- Page 1 ~ DATE DESIGN PHASE 11-29-07 SD / / PROJECT NAME PROJECT NO DD / / Herita a HS 1123 CD / x / LOCATION BY REV / / Wake Forest, NC bsl OTHER / / CHECKED BY (SPECIFY) X ~1 PERMANENT LINING -Permissible Velocity and Capacity Channel No: CHANNEL-51 (Ex Natural) Drainage Area: 2.18 ac Sta from: Design Fequency: 10 yrs Sta to: Time of Conc: 5 min Section Length: 215 ft Intensity: 7.22 in/hr Section Slope: 13.30 % Runoff Coeff: 0.30 Ret Class: B Discharge: 4.72 cfs Permissible Velocity: 4.50 fps Plus Pond 'G' Q: 8.51 cfs Allowable Depth: 2.00 ft = 13.23 cfs Swale sizing method done by manipulation of Manning's Equation to find the depth of flow that matches the known flow conditions. Performed by trial and error. INPUT DATA Qp = 13.23 cfs flow by Rational Method n = 0.17 Grass Manning's Coefficient (dimensionless) S = 0.133 ft/ft longitudinal slope (ft of fall per ft of run) Zreq = 4.14 quantity to equate to Zav M = 8 :1 side slope of channel (ft of run : 1 ft of rise) NORMAL DEPTH AND VELOCITY B D A P R Zav Remark 6 0.50 5.00 14.06 0.36 2.51 shallow 6 0.70 8.12 17.29 0.47 4.91 deep 6 0.60 6.48 15.67 0.41 3.60 shallow 6 0.644 7.18 16.38 0.44 4.14 OK B = bottom width of trapezoidal channel Zav =Zreq D = normal depth of flow A = cross-sectional area of flow ~ Rzr~ _ ~n P = wetted perimeter of the channel 1.49 ~ R = hydraulic radius of the channel Normal Depth, D = 0.64 ft Depth O.K. Velocity= 1.84 fps Vel: O. K. SHEAR STRESS T = yds =shear stress in Ib/sq-ft Y = unit weight of water, 62.4 Ib/cu-ft D = normal depth of flow in ft S =longitudinal slope in ft/ft shear stress, T = 5.34 Ib/s -ft FINAL CHANNEL LINING DIMENSIONS B = Eft side slopes, M = 8 :1 D = 2.0 ft top width, W = 38.0 ft Permanent Channel Lining: Grass (REF: Malcom, 1991) ,~_ AIL 2fps .. o~- Page 1