Drain Calculation

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Downspot and drain calculation for bldgs

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Title and InstructionsDate:4/9/14Job Name/Description:Drax Pellet Mill BuildingJob Number:214039Prepared By:DMApproved By:SLRevision 008; 2013-Apr-22

Included in this workbook are numerous worksheets to aid in the sizing of primary and secondary roof drainage systems. The worksheet tab "Rectangular Weirs" provides the the flow or required size for a square weir or scupper. The worksheet tab "Rectangular Weir Tabular" includes common sizes and hydraulic heads for a quick look up. The tabs "Triangular Notch Weir" and "Triangular Notch Weir Tabular" is similar but used for triangular weirs. Pipe inlet flows is simply to estimate the flow through an interior roof drain into a pipe. The inlet flow will indicate roof drain bodies larger in size than the typical building code requirements for conductors or leaders. The project information at the top of this sheet fills in the entire workbook.The various calculators list "Runs" these are all identical calculations which allow you to do multiple conditions on the same form.

1. The cells which are colored light blue are those which the user fills in.2. The cells which are colored light purple are the resultant calculated values

Gutter and Downspout SizingDate:4/9/14Job Name/Description:Drax Pellet Mill BuildingJob Number:214039Prepared By:DMApproved By:SLRevision 008; 2013-Apr-22

Roof Drainage DesignGutters and Downspouts

Calculations Based on SMACNA Architectural Sheet Metal Manual, Fifth Edition

Assumptions:

Gutter and Downspout Size CalculatorRun 'A'Run 'B'Run 'C'Run 'D'Run 'E'Vertical Adjacent Wall Area in Square Feet (AWall)0200050001000020000Roof Area in Square Feet (ARoof)2140200050001000020000Number of Downspouts41235Rainfall Intensity in Inches per Hour (I)8.6012.0012.0012.0012.00Total Length of Gutter in Feet (L)635075100200Depth to Width Ratio (M)1.6181.6181.6181.6181.618ResultsCalculated Area for Drainage (ATotal)2140300075001500030000Flow in Cubic Feet per Second (CFS)0.4260.8332.0834.1678.333Flow in Gallons per Minute (GPM)191.2374.0935.11870.13740.3

Gutter Width in Inches (W)37788Gutter Depth in Inches (D)512121313

Req'd Downspout Area in Square Inches (ADownspout)728505050Recommended Downspout Depth in Inches26677Recommended Downspout Width in Inches45988

ATotal = (AWall * 0.5) + ARoofQ-CFS = A (SF) * I (In) / 12 (In/Ft) / 60 (min/hr) / 60 (sec/min)Q-GPM = Q-CFS * 7.4805 (CF/GAL) * 60 (Seconds/Min)W = 0.0106 * M^(-4/7) * L^(3/128) * ((I * ATotal)^(5/14)D = W * M

Downspout Sizing Lookup TableDiameterAreaSqIn/SFCFH/SqInCFM/SqInGPM/SqInMaximumGPM3791175.9161.2659.46466.24412110091.6661.52711.428137.135191280106.6661.77713.298252.666281400116.6661.94414.545407.267381559129.9162.16516.197615.48Not included in SMACNA8501750145.8332.4318.181909.05

Notes:Refer to SMACNA Architectural Sheet Metal Manual for:1) required sheet metal gauge for gutters, downspouts, straps, etc.;2) spacing of vacuum break chambers in downspouts;3) spacing of expansion joints;4) other details of construction.

Rectangular Weir Sizing Date:4/9/14Job Name/Description:Drax Pellet Mill BuildingJob Number:214039Prepared By:DMApproved By:SLRevision 008; 2013-Apr-22

Roof Drainage DesignRectangular Weirs

Calculations Based on Cameron's Hydraulic Data Seventeenth Edition

Assumptions:

1. Roof parapet extends at least three times the height of the weir or scupper beyond the edges.2. The width of the weir or scupper is at least four times the allowable depth of water.3. When calculating scuppers allowable depth must be limited to 1" less than scupper height.4. Weir sized based on a derivation of the Francis Formula

Roof Drainage Weir Size CalculatorEnter Input ConditionsRun 'A'Run 'B'Run 'C'Run 'D'Run 'E'Run 'F'Vertical Adjacent Wall Area in Square Feet (AWall)100020005000100001000020000Roof Area in Square Feet (ARoof)100020005000100001000020000Rainfall Intensity in Inches per Hour12.0012.0012.0012.0012.0012.00Depth of Water above Weir's Lower Edge in Inches (1,2)3.003.003.003.003.003.00Number of Weirs111111ResultsCalculated Area for Drainage (ATotal)150030007500150001500030000Required Weir or Scupper Width in Inches132664127127253Required Weir or Scupper Width in Feet236111122Flow at Input Conditions in Cubic Feet per Second (CFS)0.420.831.392.782.785.56Flow at Input Conditions in Gallons per Minute (GPM)1873746231,2471,2472,494

Q-CFS = 3.33 (L - 0.2*(H/12)) * (H/12)^1.5Q-CFS = (A * (I / 12)) / 60 / 60Q-GPM = Q-CFS * 7.4805 (CF/GAL) * 60(Seconds/Min)

1) Allowable depth as determined by structural systems' water load capacity2) The depth excludes the distance from the rim elevation of the roof drain to the bottom of the Weir

Weir Discharge Capacity CalculatorEnter Input ConditionsRun 'A'Run 'B'Run 'C'Run 'A'Run 'B'Run 'C'Length (width) of Weir or Scupper in Feet1.08300000Depth of Water above Weir's Lower Edge in Inches (1,2)300000ResultsFlow at Input Conditions in Cubic Feet per Second (CFS)0.430.000.000.000.000.00Flow at Input Conditions in Gallons per Minute (GPM)19300000

Triangular Notch Weir SizingDate:4/9/14Job Name/Description:Drax Pellet Mill BuildingJob Number:214039Prepared By:DMApproved By:SLRevision 008; 2013-Apr-22

Roof Drainage DesignTriangular Notch Weirs

Calculations Based on Cameron's Hydraulic Data Seventeenth Edition

Assumptions:

1. Roof parapet extends at least three times the height of the weir or scupper beyond the edges.2. The width of the weir or scupper is at least four times the allowable depth of water.3. When calculating scuppers allowable depth must be limited to 2" less than scupper height.4. Weir sized based on a derivation of the Thompson Formula

Roof Drainage Weir Size CalculatorEnter Input ConditionsRun 'A'Run 'B'Run 'C'Vertical Adjacent Wall Area in Square Feet (AWall)100020005000Roof Area in Square Feet (ARoof)100020005000Rainfall Intensity in Inches per Hour12.0012.0012.00Depth of Water above the Weir's Lower Edge in Inches (1,2)3.003.003.00Number of Weirs111ResultsCalculated Area for Drainage (ATotal)150030007500Required Weir or Scupper Width in Inches3366164Required Weir or Scupper Width in Feet3614

Q-CFS = 3.33 (L - 0.2*(H/12)) * (H/12)^1.5Q-GPM = Q-CFS * 7.4805 (CF/GAL) * 60 (Seconds/Min)

Weir Discharge Capacity CalculatorEnter Input ConditionsRun 'A'Run 'B'Run 'C'Length (width) of Weir or Scupper in Feet000Depth of Water above the Weir's Lower Edge in Inches (1,2)000ResultsFlow at Input Conditions in Cubic Feet per Second (CFS)0.000.000.00Flow at Input Conditions in Gallons per Minute (GPM)000

Flow Rate when surface area in square feet and rainfall intensity in inches per hour are known

Q-CFS = (A * (I / 12)) / 60 / 60Q-GPM = Q-CFS * 7.4805 (SF/GAL) * 60 (Seconds/Min)

Rainfall Flow Rate CalculatorEnter Input ConditionsRun 'A'Run 'B'Run 'C'Roof Area in Square Feet (SF)000Rainfall Intensity in Inches per Hour0.000.000.00ResultsFlow at Input Conditions in Cubic Feet per Second (CFS)0.000.000.00Flow at Input Conditions in Gallons per Minute (GPM)000

1) Allowable depth as determined by structural systems' water load capacity2) The depth must exclude from the rim elevation of the roof drain to the bottom of the Weir

Rectangular Weir TabularRevision 008; 2013-Apr-22Weir Discharge Rates in Cubic Feet per Second at Listed Width and Water Depth

4 Inches6 Inches12 Inches 18 Inches24 Inches3 Feet5 Feet8 Feet16 Feet461218243660961921 Inch10.030.040.080.120.160.240.400.641.281.5 Inches1.50.050.070.140.220.290.440.731.172.352 Inches20.070.110.220.330.450.671.131.813.622.5 Inches2.50.090.150.300.460.620.941.572.525.053 Inches30.120.190.400.600.811.232.063.316.643.5 Inches3.50.140.230.490.761.021.542.594.178.364 Inches40.170.280.600.921.241.883.165.0810.215 Inches50.220.370.821.271.722.614.407.0914.266 Inches60.270.471.061.652.243.415.779.3018.72

Weir Discharge Rates in Gallons per Minute at Listed Width and Water Depth

4 Inches6 Inches12 Inches 18 Inches24 Inches3 Feet5 Feet8 Feet16 Feet461218243660961921 Inch111173553711071792875751.5 Inches1.5203164971301973295271,0552 Inches23147981492003025058101,6242.5 Inches2.541651362072784207051,1312,2683 Inches353841772713645519251,4852,9803.5 Inches3.5651042223394576931,1631,8703,7534 Inches4771252684125568441,4192,2824,5835 Inches51001673685697701,1721,9763,1826,3986 Inches61232114767401,0041,5322,5894,1758,402

Do Not Use

Triangular Notch Weir TabularRevision 008; 2013-Apr-22Weir Discharge Rates in Cubic Feet per Second at Listed Width and Water Depth

4 Inches6 Inches12 Inches 18 Inches24 Inches3 Feet5 Feet8 Feet16 Feet461218243660961921 Inch10.010.010.030.040.060.090.150.230.471.5 Inches1.50.020.030.050.080.110.160.270.430.862 Inches20.030.040.080.120.170.250.410.661.332.5 Inches2.50.040.060.120.170.230.350.580.931.863 Inches30.050.080.150.230.300.460.761.222.443.5 Inches3.50.060.100.190.290.380.580.961.543.074 Inches40.080.120.230.350.470.701.171.883.765 Inches50.110.160.330.490.660.981.642.625.256 Inches60.140.220.430.650.861.292.163.456.90

Weir Discharge Rates in Gallons per Minute at Listed Width and Water Depth

4 Inches6 Inches12 Inches 18 Inches24 Inches3 Feet5 Feet8 Feet16 Feet461218243660961921 Inch14713202640661052111.5 Inches1.5812243648731211943872 Inches212193756751121862985962.5 Inches2.5172652781041562604168333 Inches323346810313720534254710953.5 Inches3.529438612917225943169013804 Inches4355310515821131652784316865 Inches54974147221294442736117823566 Inches6659719429038758196815493097

Do Not Use

Square Edged NozzleRevision 008; 2013-Apr-22

Hydraulic HeadPartial flow through a round orifice in a plate (GPM, Diameter)3 Inches4 Inches6 Inches8 Inches10 Inches12 Inches16 Inches20 Inches24 Inches0.61346810121620240.5 Inch0.522.0039.1288.02156.48244.50352.08625.92978.001408.311 Inch131.1255.32124.48221.30345.77497.91885.181383.101991.661.5 Inches1.538.1167.76152.45271.03423.48609.821084.121693.942439.272 Inches244.0178.24176.04312.96489.00704.161251.841955.992816.633 Inches353.9095.82215.60383.29598.90862.411533.182395.593449.654 Inches462.24110.65248.96442.59691.55995.831770.362766.193983.325 Inches569.59123.71278.34494.83773.171113.371979.333092.704453.486 Inches676.23135.52304.91542.06846.971219.642168.243387.884878.557 Inches782.33146.37329.34585.49914.831317.362341.973659.335269.43

Hydraulic HeadFull flow through a round orifice in a plate (GPM, Diameter)3 Inches4 Inches6 Inches8 Inches10 Inches12 Inches16 Inches20 Inches24 Inches0.82346810121620240.5 Inch0.529.5852.59118.32210.35328.67473.29841.401314.681893.141 Inch141.8374.37167.33297.48464.81669.331189.921859.242677.311.5 Inches1.551.2391.08204.94364.34569.27819.761457.342277.103279.022 Inches259.16105.17236.64420.70657.34946.571682.802629.373786.293 Inches372.46128.81289.83515.25805.081159.312060.993220.304637.244 Inches483.67148.74334.66594.96929.621338.662379.833718.495354.625 Inches593.54166.30374.17665.181039.351496.662660.734157.395986.656 Inches6102.47182.17409.88728.671138.551639.512914.694554.206558.047 Inches7110.68196.76442.72787.061229.771770.873148.224919.107083.50

Do Not Use

TABLE 1106.2 - MODIFIEDSIZE OF VERTICAL CONDUCTORS AND LEADERS

Size of LeaderTable 1106.2 Equivalent GPMRainfall rate (inches per hour)1234567891011122 Inches28803030303030303030303030303 Inches88009191919191919191919191914 Inches184001911911911911911911911911911911911915 Inches346003593593593593593593593593593593593596 Inches540005615615615615615615615615615615615618 Inches1160001,2051,2051,2051,2051,2051,2051,2051,2051,2051,2051,2051,205

TABLE 1106.2SIZE OF VERTICAL CONDUCTORS AND LEADERS

Size of LeaderHORIZONTALLY PROJECTED ROOF AREA (square feet)Rainfall rate (inches per hour)1234567891011122 Inches2880288014409607205764804113603202882622403 Inches8800880044002933220017601467125711009788808007334 Inches1840018400920061334600368030672629230020441840167315335 Inches346003460017300115338650692057674943432538443460314528836 Inches54000540002700018000135001080090007714675060005400490945008 Inches116000116000580003866729000232001933316571145001288911600105459667

ChangelogDateRevisionNumberBy:Description2012-Nov-074MMR1) First Release with Changelog2) Revised default Gutter H/W ratio to 1.6183) Revised print layout for Square Edged Nozzle table

2012-Nov-135MMR1) Update filename to 213nnn series2012-Nov-276MMR1) Added "Adjacent Wall Area" input to include 1/2 wall area in subsequent calculations for gutters, square weirs, and trangular weirs.2) Added a lookup table based on SMACNA downspout sizing guidelines.3) Using lookup table recommend a downspout size taking into account gutter size.4) Flag poor size choices (number of downspouts and aspect ratio) with a warning.2012-Dec-107MMR/JC1) Added notes on gutter worksheet to refer user to SMACNA for construction details.2013-Apr-228MMR1) Degrade gracefully when downspout count is zero'd rather than throw Div#0 exception.2) Corrected downspout lookup table error where DS's 3" dia or less returned maximum flow value instead of area.3) Revise the recommended DS width max aspect ratio to 2 from 1.6184) Replaced excel default rounding with ceiling function to use next largest integer size.5) Added a MAX function to make minimum gutter width 3"