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14011 Backwater Analysis - Rational Method
BACKWATER ANALYSIS Conveyance System Information Pipe Segment CB/MH # Down CB #00 CB #01 CB #02 CB #03 CB #04 CB #05 CB #06 CB #07 CB #08 Project Name:Renton Shortplat Job Number: 14011 CB/MH # Up CB #01 CB #02 CB #03 CB #04 CB #05 CB #06 CB #07 CB #08 CB #09 Surface Flow Q CFS 0.590299064278632 0.281259529364127 0.817545943803696 0.767257835566723 1.02930335195803 0 0 0.144328252617228 2.46082547943417E-02 Total Flow Qtot CFS 3.65460223238277 3.06430316810414 2.78304363874001 1.96549769493632 1.1982398593696 0.16893650741157 0.16893650741157 0.16893650741157 2.46082547943417E-02 Length L FT 66 62 100 130 155 15 144 45 174 Pipe Size D IN 12 12 12 12 12 12 12 12 12 "n" value 0.012 0.012 0.012 0.012 0.012 0.012 0.012 0.012 0.012 Designed By: Storm Event: Down- Stream Invert FT 467.06 467.39 467.7 468.2 468.85 469.63 473.73 477.3 477.75 Henry Stefan Checked By: Peter Apostol 25-YEAR Rational Method Down- Stream Rim FT 472.14 472.59 472.7 473.2 473.85 476.6 479.15 479.81 480.61 Up- Stream Invert FT 467.39 467.7 468.2 468.85 469.63 469.93 475.17 477.75 480.4 Up- Stream Rim FT 472.59 472.7 473.2 473.85 476.6 479.15 479.81 480.61 482.81 Pipe Slope % 4.99999999999976E-03 5.00000000000004E-03 0.005 5.00000000000026E-03 5.03225806451595E-03 2.00000000000008E-02 9.99999999999998E-03 9.99999999999975E-03 1.52298850574711E-02 Barrel Velocity FPS 4.65318408254715 3.90159197068743 3.54348121556743 2.50254939027873 1.52564637302727 0.215096641785856 0.215096641785856 0.215096641785856 3.13322031310746E-02 Barrel Velocity Head FT 0.336213076181214 0.236372979902681 0.194972967780733 9.72477243910628E-02 3.61428083157028E-02 7.18424927135914E-04 7.18424927135914E-04 7.18424927135914E-04 1.52438967864428E-05 Critical Depth Ratio 0.66 0.6 0.58 0.06 0.06 0.06 0.06 0.06 0.06 Critical Depth FT 0.66 0.6 0.58 0.47 0.36 0.15 0.15 0.13 0.06 TW Elev. FT 468.06 469.395118800369 469.94810667627 470.664312789278 471.111275034557 471.373924293575 471.375014733641 476.170804635918 478.751213262729 481.400026067063 TW Check FT 468.06 469.395118800369 469.94810667627 470.664312789278 471.111275034557 471.373924293575 474.305 477.865 478.751213262729 Barrel Hyd. Rad. FT 0.25 0.25 0.25 0.25 0.25 0.25 0.25 0.25 0.25 Outlet Control Friction Loss FT 0.588510763222507 0.388673914229551 0.517094926372296 0.335288512521123 0.148576275354065 2.85804146874722E-04 2.74371980999733E-03 8.57412440624166E-04 7.03462776941592E-05 Entrance HGL Elev. FT 468.648510763223 469.783792714598 470.465201602642 470.999601301799 471.259851309912 471.374210097722 476.17 478.75 481.4 Entrance Ke 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 Entrance Head Loss FT 0.168106538090607 0.11818648995134 9.74864838903665E-02 4.86238621955314E-02 1.80714041578514E-02 3.59212463567957E-04 3.59212463567957E-04 3.59212463567957E-04 7.62194839322141E-06 Exit Head Loss FT 0.336213076181214 0.236372979902681 0.194972967780733 9.72477243910628E-02 3.61428083157028E-02 7.18424927135914E-04 7.18424927135914E-04 7.18424927135914E-04 1.52438967864428E-05 Outlet Control Elev. FT 469.152830377494 470.138352184452 470.757661054313 471.145472888385 471.314065522385 471.375287735113 476.171077637391 478.751077637391 481.400022865845 Inlet Control Inlet Control HW/D FT 1 0.925 0.85 0.675 0.55 0.1 0.1 0.1 0.1 Inlet Control Elev. FT 468.39 468.625 469.05 469.525 470.18 470.03 475.27 477.85 480.5 Headwater Summation Control HW Elev. FT 469.152830377494 470.138352184452 470.757661054313 471.145472888385 471.314065522385 471.375287735113 476.171077637391 478.751077637391 481.400022865845 Approach Veloctiy Head FT 0.236372979902681 0.194972967780733 9.72477243910628E-02 3.61428083157028E-02 7.18424927135914E-04 7.18424927135914E-04 7.18424927135914E-04 1.52438967864428E-05 Bend Kb 1.33 0.02 0.02 0.02 0.62 0.62 0.62 0.21 0.21 Bend Head Loss FT 0.447163391321014 4.72745959805362E-03 3.89945935561466E-03 1.94495448782126E-03 2.24085411557358E-02 4.45423454824266E-04 4.45423454824266E-04 1.50869234698542E-04 3.20121832515299E-06 Q1 CFS 3.06430316810414 2.78304363874001 1.96549769493632 1.1982398593696 0.16893650741157 0.16893650741157 0.16893650741157 2.46082547943417E-02 0 Q3 CFS 0.36 0.629 V1 FPS 4.65318408254715 3.90159197068743 3.54348121556743 2.50254939027873 1.52564637302727 0.215096641785856 0.215096641785856 0.215096641785856 3.13322031310746E-02 Junction Head Loss FT 3.14980114561475E-02 3.81686549616135E-02 Head Loss Total FT 0.478661402777162 4.72745959805362E-03 3.89945935561466E-03 1.94495448782126E-03 6.05771961173493E-02 4.45423454824266E-04 4.45423454824266E-04 1.50869234698542E-04 3.20121832515299E-06 HW Elev. FT 469.395118800369 469.94810667627 470.664312789278 471.111275034557 471.373924293575 471.375014733641 476.170804635918 478.751213262729 481.400026067063 Overtopping Check (HW - Rim) Clearance FT -3.19488119963114 -2.75189332373031 -2.53568721072236 -2.73872496544254 -5.22607570642469 -7.77498526635935 -3.63919536408156 -1.85878673727137 -1.40997393293657 Over- topping Check Okay Okay Okay Okay Okay Okay Okay Okay Okay BACKWATER ANALYSIS Conveyance System Information Pipe Segment CB/MH # Down CB #00 CB #01 CB #02 CB #03 CB #04 CB #05 CB #06 CB #07 CB #08 Project Name:Renton Shortplat Job Number: 14011 CB/MH # Up CB #01 CB #02 CB #03 CB #04 CB #05 CB #06 CB #07 CB #08 CB #09 Surface Flow Q CFS 0.69623735762045 0.331735900292091 0.964267203002927 0.904954116268785 1.21402775190384 0 0 0.170230188921262 2.90245865705389E-02 Total Flow Qtot CFS 4.31047710457989 3.61423974695944 3.28250384666735 2.31823664366442 1.41328252739564 0.199254775491801 0.199254775491801 0.199254775491801 2.90245865705389E-02 Length L FT 66 62 100 130 155 15 144 45 174 Pipe Size D IN 12 12 12 12 12 12 12 12 12 "n" value 0.012 0.012 0.012 0.012 0.012 0.012 0.012 0.012 0.012 Designed By: Storm Event: Down- Stream Invert FT 467.06 467.39 467.7 468.2 468.85 469.63 473.73 477.3 477.75 Henry Stefan Checked By: Peter Apostol 100-YEAR Rational Method Down- Stream Rim FT 472.14 472.59 472.7 473.2 473.85 476.6 479.15 479.81 480.61 Up- Stream Invert FT 467.39 467.7 468.2 468.85 469.63 469.93 475.17 477.75 480.4 Up- Stream Rim FT 472.59 472.7 473.2 473.85 476.6 479.15 479.81 480.61 482.81 Pipe Slope % 4.99999999999976E-03 5.00000000000004E-03 0.005 5.00000000000026E-03 5.03225806451595E-03 2.00000000000008E-02 9.99999999999998E-03 9.99999999999975E-03 1.52298850574711E-02 Barrel Velocity FPS 5.48826990622664 4.60179296998237 4.17941370332216 2.95167056876766 1.79944720176338 0.253699059633488 0.253699059633488 0.253699059633488 3.69552513911992E-02 Barrel Velocity Head FT 0.467719046018525 0.328827617058682 0.271234455023556 0.13528507991505 5.02796619865539E-02 9.99428771101179E-04 9.99428771101179E-04 9.99428771101179E-04 2.12063758600424E-05 Critical Depth Ratio 0.66 0.6 0.58 0.06 0.06 0.06 0.06 0.06 0.06 Critical Depth FT 0.66 0.6 0.58 0.47 0.36 0.15 0.15 0.13 0.06 TW Elev. FT 468.06 469.911004899922 470.680287774681 471.67662986742 472.298416376568 472.660789336537 472.662306289991 476.171119360224 478.751687816823 481.400036262903 TW Check FT 468.06 469.911004899922 470.680287774681 471.67662986742 472.298416376568 472.660789336537 474.305 477.865 478.751687816823 Barrel Hyd. Rad. FT 0.25 0.25 0.25 0.25 0.25 0.25 0.25 0.25 0.25 Outlet Control Friction Loss FT 0.818700140614712 0.540699351853137 0.719350801018557 0.466432849663545 0.206690217283915 3.97593229991846E-04 3.81689500792172E-03 1.19277968997554E-03 9.78614343849391E-05 Entrance HGL Elev. FT 468.878700140615 470.451704251775 471.399638575699 472.143062717083 472.505106593852 472.661186929767 476.17 478.75 481.4 Entrance Ke 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 Entrance Head Loss FT 0.233859523009262 0.164413808529341 0.135617227511778 0.067642539957525 2.51398309932769E-02 4.99714385550589E-04 4.99714385550589E-04 4.99714385550589E-04 1.06031879300212E-05 Exit Head Loss FT 0.467719046018525 0.328827617058682 0.271234455023556 0.13528507991505 5.02796619865539E-02 9.99428771101179E-04 9.99428771101179E-04 9.99428771101179E-04 2.12063758600424E-05 Outlet Control Elev. FT 469.580278709643 470.944945677363 471.806490258234 472.345990336956 472.580526086831 472.662686072924 476.171499143157 478.751499143157 481.400031809564 Inlet Control Inlet Control HW/D FT 1 0.925 0.85 0.675 0.55 0.1 0.1 0.1 0.1 Inlet Control Elev. FT 468.39 468.625 469.05 469.525 470.18 470.03 475.27 477.85 480.5 Headwater Summation Control HW Elev. FT 469.580278709643 470.944945677363 471.806490258234 472.345990336956 472.580526086831 472.662686072924 476.171499143157 478.751499143157 481.400031809564 Approach Veloctiy Head FT 0.328827617058682 0.271234455023556 0.13528507991505 5.02796619865539E-02 9.99428771101179E-04 9.99428771101179E-04 9.99428771101179E-04 2.12063758600424E-05 Bend Kb 1.33 0.02 0.02 0.02 0.62 0.62 0.62 0.21 0.21 Bend Head Loss FT 0.622066331204638 6.57655234117365E-03 5.42468910047113E-03 0.002705701598301 3.11733904316634E-02 6.19645838082731E-04 6.19645838082731E-04 2.09880041931248E-04 4.45333893060891E-06 Q1 CFS 3.61423974695944 3.28250384666735 2.31823664366442 1.41328252739564 0.199254775491801 0.199254775491801 0.199254775491801 2.90245865705389E-02 0 Q3 CFS 0.36 0.629 V1 FPS 5.48826990622664 4.60179296998237 4.17941370332216 2.95167056876766 1.79944720176338 0.253699059633488 0.253699059633488 0.253699059633488 3.69552513911992E-02 Junction Head Loss FT 3.74874761332377E-02 5.00892880451402E-02 Head Loss Total FT 0.659553807337876 6.57655234117365E-03 5.42468910047113E-03 0.002705701598301 8.12626784768036E-02 6.19645838082731E-04 6.19645838082731E-04 2.09880041931248E-04 4.45333893060891E-06 HW Elev. FT 469.911004899922 470.680287774681 471.67662986742 472.298416376568 472.660789336537 472.662306289991 476.171119360224 478.751687816823 481.400036262903 Overtopping Check (HW - Rim) Clearance FT -2.67899510007823 -2.01971222531944 -1.52337013258011 -1.55158362343229 -3.93921066346286 -6.48769371000918 -3.63888063977635 -1.85831218317725 -1.40996373709731 Over- topping Check Okay Okay Okay Okay Okay Okay Okay Okay Okay CONVEYANCE INPUTS AND LAYOUT DATA Project Name: Job Number: Designed By: CB Downstream CB #00 CB #01 CB #02 CB #03 CB #04 CB #05 CB #06 CB #07 CB #08 Limelite Short Plat 14011 MEB CB Upstream CB #01 CB #02 CB #03 CB #04 CB #05 CB #06 CB #07 CB #08 CB #09 Impervious Area sf 11707 5449 10769 11745 20117 0 0 2952 469 Event Parameters: Event 25-yr, 24-hr 100-yr, 24-hr Pervious Area sf 9966 5213 33404 25451 18445 0 0 2114 484 PR in 3.4 3.9 Total Area sf 21673 10662 44173 37196 38562 0 0 5066 953 aR unitless 2.66 2.61 Total Area ac 0.497543617998163 0.244765840220386 1.014072543618 0.853902662993572 0.885261707988981 0 0 0.116299357208448 2.18778696051423E-02 bR unitless 0.65 0.63 C unitless 0.601107368615328 0.582193772275371 0.408464446607656 0.455243843424024 0.589091592759712 0 0 0.628760363205685 0.569884575026233 Tc min 10.4 10.4 IR, 25-yr in/hr 1.973735184757 1.973735184757 1.973735184757 1.973735184757 1.973735184757 1.973735184757 1.973735184757 1.973735184757 1.973735184757 iR unitless 0.580510348457941 0.59691089189443 Q25-yr Surface cfs 0.590299064278632 0.281259529364127 0.817545943803696 0.767257835566723 1.02930335195803 0 0 0.144328252617228 2.46082547943417E-02 IR in/hr 1.973735184757 2.32795247838828 Q25-yr Total cfs 3.65460223238277 3.06430316810414 2.78304363874001 1.96549769493632 1.1982398593696 0.16893650741157 0.16893650741157 0.16893650741157 2.46082547943417E-02 IR,100-yr in/hr 2.32795247838828 2.32795247838828 2.32795247838828 2.32795247838828 2.32795247838828 2.32795247838828 2.32795247838828 2.32795247838828 2.32795247838828 Runoff Coefficients: C impervious C pervious Q100-yr Surface cfs 0.69623735762045 0.331735900292091 0.964267203002927 0.904954116268785 1.21402775190384 0 0 0.170230188921262 2.90245865705389E-02 0.9 0.25 Q100-yr Total cfs 4.31047710457989 3.61423974695944 3.28250384666735 2.31823664366442 1.41328252739564 0.199254775491801 0.199254775491801 0.199254775491801 2.90245865705389E-02 PGIS to StormFilter 0.046 0.031 0.069 0.058 0.11 0.283 0.377 0.055 0.166 0.087 0.104 0.105 1.491 Manning's n Coefficients for Open Channel Flow Material Natural Streams Clean and Straight Major Rivers Sluggish with Deep Pools Metals Brass Cast Iron Smooth Steel Corrugated Metal Non-Metals Glass Clay Tile Brickwork Asphalt Masonry Corrugated Polyethylene (PE) with smooth inner walls a,b Corrugated Polyethylene (PE) with corrugated inner walls c Polyvinyl Chloride (PVC) with smooth inner walls d,e Manning n 0.03 0.035 0.04 0.011 0.013 0.012 0.022 0.01 0.014 0.015 0.016 0.025 Material Excavated Earth Channels Clean Gravelly Weedy Stony, Cobbles Floodplains Pasture, Farmland Light Brush Heavy Brush Trees Finished Concrete Unfinished Concrete Gravel Earth Planed Wood Unplaned Wood Manning n 0.022 0.025 0.03 0.035 0.035 0.05 0.075 0.15 0.012 0.014 0.029 0.025 0.012 0.013 0.009-0.015 0.018-0.025 0.009-0.011 Known variables Q D radius g (constant) Solver critical depth phi T A (Q^2*T)/(g*A^3) dc/D (cfs) (in) (ft) (ft^2/s) (ft) (rad) (ft) (ft^2) 0.02 12 0.5 32.2 5.72205165902216E-02 0.966200778431574 0.464526981224427 1.79335889157189E-02 1.00049156788984 5.72205165902216E-02 Culvert Entrance Loss Coefficients Design of Entrance Pipe Culverts Pipe projecting from fill, square cut end socket end Headwall with or without wingwalls, square end socket end Pipe mitred to conform to fill slope, precast end field cut end Box Culverts No wing walls, headwall parallel to embankment, square edge on three edges three edges rounded to 1/12 barrel dimensions Wing walls at 30o to 75o to barrel, square edge at crown crown rounded to 1/12 culvert height Wing walls at 10o to 30o to barrel, square edge at crown Wing walls parallel (extension of sides), square edge at crown ke 0.5 0.2 0.5 0.2 0.5 0.7 0.5 0.2 0.4 0.2 0.5 0.7 Note: To draw lines on the nomograph go to the "Tools" tab, click on "Customize", then click on the "Toolbars" tab, and then click on the "Drawing" toolbar box. This will add the drawing toolbar. Use the line box on the drawing toolbar to then draw lines to determine your value. Note: To draw lines on the nomograph go to the "Tools" tab, click on "Customize", then click on the "Toolbars" tab, and then click on the "Drawing" toolbar box. This will add the drawing toolbar. Use the line box on the drawing toolbar to then draw lines to determine your value. Note: To draw lines on the nomograph go to the "Tools" tab, click on "Customize", then click on the "Toolbars" tab, and then click on the "Drawing" toolbar box. This will add the drawing toolbar. Use the line box on the drawing toolbar to then draw lines to determine your value. Note: To draw lines on the nomograph go to the "Tools" tab, click on "Customize", then click on the "Toolbars" tab, and then click on the "Drawing" toolbar box. This will add the drawing toolbar. Use the line box on the drawing toolbar to then draw lines to determine your value.