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AWDWAFDAESF STRUCTURAL DESIGN OF SINGLE CELL BOX CULVERT Based on AASHTO LRFD Bridge Design 2007 SI Client: GeoData Survey Company Designed By: Ali Akbar Shaikhzadeh Date: Job Name/Station: Culvert Structural Design Verified By: Revision: INPUT DATA CONCRETE COMPRESSIVE STRENGTH, f'c 28 MPA REBAR YIELD STRENGTH, fy 420 MPA 24 kN/cum 18 kN/cum HEIGHT OFCULVERT, H 1500 mm WIDTH OF CULVERT, B 2000 mm 350 mm 350 mm 350 mm 2000 mm 0 KPa 144 KPa 30 Deg. PREFERRED REBAR SIZE 12 mm CONCRETE COVER TO REBAR CENTER 75 mm Design Summary NO. OF REINFORCEMENT LAYERS 2 Shear Status O.K. MAIN REINFORCEMENT SPACING 200 mm Flexure Status O.K. TEMPERATURE REINFOR. SPACING 200 mm Soil Pressure Status O.K. LOADS ON THE CULVERT For the design purposes a one-meter length of the culvert is considered. Top Slab Vehicular Live Loads (HS 20 AASHTO Truck) 2000 mm LL considered. Multiple presence factor 1.20 Traffic travelling parallel to spa Width of distributed load (parallel to spa 2250 mm Length of distributed load (perpend. to sp 4510 mm Equiv. wheel loads don't overlap. Pressure intensity at the specified depth 7.14 KPa Wheel Load = 72.5 KN Linear load on the top slab 7.14 KN/m Dynamic Load Allowance (Impact Factor) 5.94 % Factor for increasing live load du Increased linear live load 9.08 KN/m Impact and multiple presence facto Weight of earth fill Linear weight of fill on the slab 36.00 KN/m Imposed dead loads Linear imposed dead loads on the slab 0 KN/m Selfweight Linear selft weight of the slab 8.4 KN/m Side Walls Soil pressure 0.333 CONCRETE UNIT WEIGHT, gc SATURATED SOIL UNIT WEIGHT, gs THICKNESS OF SIDE WALLS, tw THICKNESS OF TOP SLAB, tts THICKNESS OF BOTTOM SLAB, tbs DEPTH OF FILL, hf IMPOSED SERVICE DEAD LOADS, wd ALLOWABLE SOIL PRESSURE, Qa SOIL ANGLE OF FRCITION, f Include live loads if hf < 2400mm hf = Design Based on IM = 33(1 - 0.00041 hf) > 0% kah = (1 - sinf ) / (1 + sinf )

99597424 Design of Box Culvert AASHTO

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99597424 Design of Box Culvert AASHTO 99597424 Design of Box Culvert AASHTO 99597424 Design of Box Culvert AASHTO

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Stru. Design of Box CulvertAWDWAFDAESF STRUCTURAL DESIGN OF SINGLE CELL BOX CULVERTBased on AASHTO LRFD Bridge Design 2007 SIClient:GeoData Survey CompanyDesigned By:Ali Akbar ShaikhzadehDate:1-Jul-12Job Name/Station:Culvert Structural DesignVerified By:Revision:Version 1.0INPUT DATACONCRETE COMPRESSIVE STRENGTH, f'c28MPAREBAR YIELD STRENGTH, fy420MPACONCRETE UNIT WEIGHT, gc24kN/cumSATURATED SOIL UNIT WEIGHT, gs18kN/cumHEIGHT OFCULVERT, H1500mmWIDTH OF CULVERT, B2000mmTHICKNESS OF SIDE WALLS, tw350mmTHICKNESS OF TOP SLAB, tts350mmTHICKNESS OF BOTTOM SLAB, tbs350mmDEPTH OF FILL, hf2000mmIMPOSED SERVICE DEAD LOADS, wd0KPaALLOWABLE SOIL PRESSURE, Qa144KPaSOIL ANGLE OF FRCITION, f30Deg.PREFERRED REBAR SIZE12mmCONCRETE COVER TO REBAR CENTER75mmDesign SummaryNO. OF REINFORCEMENT LAYERS2Shear StatusO.K.MAIN REINFORCEMENT SPACING200mmFlexure StatusO.K.TEMPERATURE REINFOR. SPACING200mmSoil Pressure StatusO.K.LOADS ON THE CULVERTFor the design purposes a one-meter length of the culvert is considered.Top SlabVehicular Live Loads (HS 20 AASHTO Truck)Include live loads if hf < 2400mmhf =2000mmLL considered.Design Based on (AASHTO 3.6.1.2.6)Multiple presence factor1.20Traffic travelling parallel to span(AASHTO 3.6.1.1.2)Width of distributed load (parallel to span)2250mm(AASHTO 3.6.1.2.6)Length of distributed load (perpend. to span)4510mmEquiv. wheel loads don't overlap.(AASHTO 3.6.1.2.6)Pressure intensity at the specified depth of fill7.14KPaWheel Load = 72.5 KNLinear load on the top slab7.14KN/m0Dynamic Load Allowance (Impact Factor)(AASHTO 3.6.2.2)IM = 33(1 - 0.00041 hf) > 0%5.94%Factor for increasing live load due to impact effectsIncreased linear live load9.08KN/mImpact and multiple presence factor included.Weight of earth fillLinear weight of fill on the slab36.00KN/mImposed dead loadsLinear imposed dead loads on the slab0KN/mSelfweightLinear selft weight of the slab8.4KN/mSide WallsSoil pressurekah = (1 - sinf ) / (1 + sinf )0.333Surcharge on side walls due to top soil36.0KPa(cont'd)Height of surcharge (h' = s / gs )2.0mLinear pressure at the bottom of the side wall21.0kN/mSelfweightTwo side walls = tw (H - tbs - tts) gc13.4KNBottom SlabSelf weight of the whole structureLinear soil pressure due to stru. selfweight59.52kN/mSee note 1Vehicular Live Loads (HS 20 AASHTO Truck)Linear soil pressure due to live loads9.08KN/mSee note 1FACTORED LOAD DIAGRAMSLoad factor for dead load1.25(AASHTO 3.4.1)Load factor for horizontal earth pressure1.50(AASHTO 3.4.1)Load factor for live load1.75(AASHTO 3.4.1)55.5015.8918.0018.0031.531.574.415.89ANALYSIS OF THE STRUCTUREThe structure is analyzed using the moment distribution method.The fixed-end moment at each joint is the superposition of the fixed-end moments due to dead, live and earth pressure loads.JointABDCMemberACABBABDDBDCCDCALength0.802.002.000.800.802.002.000.80Moment of Inertia0.02920.02920.02920.02920.02920.02920.02920.0292Distrib. Factor0.710.290.290.710.710.290.290.71FEM1.25-23.8023.80-1.251.39-30.1030.10-1.39Distribution16.116.44-6.44-16.1120.508.20-8.20-20.50Carry Over-10.25-3.223.2210.25-8.05-4.104.108.05Distribution9.623.85-3.85-9.628.683.47-3.47-8.68Carry Over-4.34-1.921.924.34-4.81-1.741.744.81Distribution4.481.79-1.79-4.484.681.87-1.87-4.68Carry Over-2.34-0.900.902.34-2.24-0.940.942.24Distribution2.310.92-0.92-2.312.270.91-0.91-2.27Carry Over-1.13-0.460.461.13-1.15-0.450.451.15Distribution1.140.46-0.46-1.141.150.46-0.46-1.15Carry Over-0.57-0.230.230.57-0.57-0.230.230.57Distribution0.570.23-0.23-0.570.570.23-0.23-0.57Carry Over-0.29-0.110.110.29-0.29-0.110.110.29Distribution0.290.11-0.11-0.290.290.11-0.11-0.29Moment Sum16.84-16.8416.84-16.8422.41-22.4122.41-22.41(cont'd)SHEAR MOMENT DIAGRAMSTop SlabMmax (+)18.86kN/mMmax (-)-16.84kN/mDesign Moment18.86kN/mVmax (+)71.39kNVmax (-)-64.26kNDesign Shear26.77kNAt distance d from the face of the supportBottom SlabMmax (+)22.41kN/mMmax (-)-22.73kN/mDesign Moment22.73kN/mVmax (+)90.29kNVmax (-)-90.29kNDesign Shear33.86kNAt distance d from the face of the support(cont'd)Side WallsMmax (+)22.41kN/mMmax (-)-14.92kN/mDesign Moment22.41kN/mVmax (+)-38.26kNVmax (-)-50.86kNDesign Shear49.03kNAt distance d from the face of the supportTHICKNESS CHECKShear strength provided by concrete = fVc = f0.17 (f'c)0.5 bw d(ACI 11.2.1.2)Componentd (mm)fVc (kN)Vd (kN)StatusTop slab275185.526.8O.K.Bottom slab275185.533.9O.K.Side walls275185.549.0O.K.REINF. CALCULATIONSMinimum reinforcement ratio for main reinforcement, min0.0007See note 2(AASHTO 5.10.8)Minimum reinforcement ratio for temperature reinforcement, min0.0008See note 2(AASHTO 5.10.8)Maximum center to center spacing of reinforcement, smax525mmMax (1.5 t, 450)(AASHTO 5.10.3.2)ComponentMAIN REINFORCEMENTTEMPRATURE REINF.d (mm)Mu(kN-m)As (mm2)As provactminStatusactminStatusTop slab27521.020211310.00320.0013O.K.0.00320.0015O.K.Bottom slab27525.324311310.00320.0013O.K.0.00320.0015O.K.Side walls27524.924011310.00320.0013O.K.0.00320.0015O.K.SOIL PRESSURE CHECKPressure on soil68.60KPaAllowable soil pressure144.00KPaStatusO.K.1- In reality, the uplift soil pressure on the bottom slab may not be uniform. However, for simplicity, it shall be assumed to be uniform.2- Minimum reinforcement ratio found is for one layer of reinforcement and shall be multiplyed by 2 if there is 2 layers of reinforcement.3- Clear distance between two layers of reinforcement shall not be more than 150mm and less than 25mm.4- All soil has been assumed to be saturated soil.5- It has been assumed that only one axle of the design truck comes on the culvert at a time. This is true for culvert width up to 4300. For more widthsthis design spreadsheet can not be used since it is possible that two axle loads come on the culvert.

Stru. Design of Box Culvert-16.8380998762-10.0555829508-3.98701517551.36760344986.0082729259.934993250213.147764425415.646586450517.431459325618.502383050718.859357625718.502383050717.431459325615.646586450513.14776442549.93499325026.0082729251.3676034498-3.9870151755-10.0555829508-16.8380998762

Distance x (m)Moment (kN-m)Top Slab Moment Diagram

Calculations71.394915003764.255423503357.11593200349.976440502642.836949002235.697457501828.557966001521.418474501114.27898300077.13949150040-7.1394915004-14.2789830007-21.4184745011-28.5579660015-35.6974575018-42.8369490022-49.9764405026-57.115932003-64.2554235033-71.3949150037

Distance x (m)Shear (kN)Top Slab Shear Diagram

Sheet122.413764411313.83574748596.1606797106-0.6114389146-6.4806083899-11.4468287151-15.5100998903-18.6704219154-20.9277947905-22.2822185155-22.7336930905-22.2822185155-20.9277947905-18.6704219154-15.5100998903-11.4468287151-6.4806083899-0.61143891466.160679710613.835747485922.4137644113

Distance x (m)Moment (kN-m)Bottom Slab Moment Diagram

-90.2949150037-81.2654235033-72.235932003-63.2064405026-54.1769490022-45.1474575018-36.1179660015-27.0884745011-18.0589830007-9.029491500409.029491500418.058983000727.088474501136.117966001545.147457501854.176949002263.206440502672.23593200381.265423503390.2949150037

Distance x (m)Shear (kN)Bottom Slab Shear Diagram

22.413764411320.862951196919.272417982617.643244768215.976511553814.273298339412.534685125110.76175191078.95557869637.11724548195.24783226763.34841905321.4200858388-0.5360873756-2.5190205899-4.5276338043-6.5608470187-8.6175802331-10.6967534474-12.7972866618-14.9180998762

Distance x (m)Moment (kN-m)Side Walls Moment Diagram

-38.2648303593-39.1513303593-40.0108303593-40.8433303593-41.6488303593-42.4273303593-43.1788303593-43.9033303593-44.6008303593-45.2713303593-45.9148303593-46.5313303593-47.1208303593-47.6833303593-48.2188303593-48.7273303593-49.2088303593-49.6633303593-50.0908303593-50.4913303593-50.8648303593

Distance x (m)Shear (kN)Side Walls Shear Diagram

Index NumberDistance From left end x (m)Simply SupportedCantileverFixed at both endsIndex NumberDistance From left end x (m)420wP1P2TotalwP1P2TotalwP1P2TotalTotalItemValueDistanceVxMxxVxMxxVxMxxVxMxxVxMxxVxMxxVxMxxVxMxxVxMxxVxMxxVxMxxVxMxxVxMxxR10.000000.000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.000010.000.00000.00000.0000R20.000010.000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.000020.000.00000.00000.0000M10.000020.000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.000030.000.00000.00000.0000M20.000030.000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.000040.000.00000.00000.0000Vmax (+)0.0000040.000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.000050.000.00000.00000.0000Vmax (-)0.0000050.000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.000060.000.00000.00000.0000Mmax (+)0.00000.000060.000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.000070.000.00000.00000.0000Mmax (-)0.00000.000070.000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.000080.000.00000.00000.0000max (+)0.00000.000080.000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.00000.000090.000.00000.00000.0000max 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