Culvert Data & Design

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    Beams Moments and Shear

    Description+Ve Moment

    Kip-ft-Ve Moment

    Kip-ftShear (Kips)

    A Foundation Level1 Radial Beams (1.5'X3') 87.5 112 17.82 Periphral Beam (1.25'x1.5') 15 24.8 6.48

    B Tie Beam Level, 22' above Foundation1 Periphral Beam (1.25'x1.5') 12 29.62 6.48C Floor Level, 32' above Foundation1 Radial Beams (1.5'X3') 520 547 87.32 Periphral Beam (1.25'x1.5') 48.29 58 15.42D Floor Level, 54' above Foundation1 Radial Beams (1.5'X3') 472 602 87.112 Periphral Beam (1.25'x1.5') 42 52 15.41E Floor Level, 65' above Foundation1 Radial Beams (1.5'X3') 452 667 792 Periphral Beam (1.25'x1.5') 50 65.9 12.37

    1 Dome Beams (1'X1.5') 18.67 10.43 19.72 Dome Slab, 6" Thick 0.91 1.753 Dome Slab Base, 12" Thick 17 4.1

    +Ve MomentKip-ft

    -Ve MomentKip-ft

    Axial Force

    4 Inner Columns (2' dia),G.F 21 0 4385 Outer Columns (2' dia), upto 32' height 30 0 631

    Outer Columns (2' dia), upto 54' height 446Outer Columns (2' dia), upto 65' height 314Outer Columns (2' dia), upto 82' height 113

    6 Intermediate Slabs, M22, Thick=7.5" 3.25 5.57 Intermediate Slabs, M11, Thick=7.5" 5.8 7.9

    4921313.64

    595.8631951

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    Total Load 21.6 KipsLoad on Long Beam (Short Direction) 14.04 0.585Load on Short Beam (Long Direction) 7.56

    Soil Load Over Toe 0.24Soil Load Over Heel 2.52 Ksf 20.8661424Earth Pressure on Stem 0.83916 Ksf

    0.03996

    4.32 0.615

    Earth Pressure on Stem 0.43956 Ksf 0.03996

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    0.00014467

    28.804 cum678.708652 33.93543268.48385815

    0.724685670.108702850.16566314

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    1.32

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    S. No.Culvert

    No.Skew Angle

    (Degrees)

    ClearSpan

    Length(mm)

    EffectiveSpan

    Length(mm)

    Min. SlabThickness

    (mm)

    ProvidedSlab

    Thickness(mm)

    No. ofCells

    Height ofCulvert

    (mm)

    RoadwayWidth

    (m)

    Shoulders(mm)

    CulvertLength(mm)

    1 C1 0 1000 1450 160 225 1 7300 3000 10300 1450

    2 C2 0 1500 1950 180 225 1 7300 3000 10300 1950

    3 C3 0 2000 2450 200 250 1 7300 3000 10300 2450

    4 C4 0 2500 2950 220 275 1 7300 3000 10300 2950

    5 C5 0 3000 3450 240 275 1 7300 3000 10300 3450

    6 C6 0 3500 3950 260 300 1 7300 3000 10300 3950

    7 C7 0 4000 4450 280 325 1 7300 3000 10300 4450

    8 C8 0 4500 4950 300 350 1 7300 3000 10300 4950

    9 C9 0 5000 5450 320 400 1 7300 3000 10300 5450

    10 C10 0 5500 5950 340 450 1 7300 3000 10300 5950

    11 C11 15 1000 1450 160 225 1 7300 3000 10663 1501

    12 C12 15 1500 1950 180 225 1 7300 3000 10663 2019

    13 C13 15 2000 2450 200 250 1 7300 3000 10663 2536

    14 C14 15 2500 2950 220 275 1 7300 3000 10663 3054

    15 C15 15 3000 3450 240 275 1 7300 3000 10663 3572

    16 C16 15 3500 3950 260 300 1 7300 3000 10663 4089

    17 C17 15 4000 4450 280 325 1 7300 3000 10663 4607

    18 C18 15 4500 4950 300 350 1 7300 3000 10663 5125

    19 C19 15 5000 5450 320 400 1 7300 3000 10663 5642

    20 C20 15 5500 5950 340 450 1 7300 3000 10663 6160

    21 C21 25 1000 1450 160 225 1 7300 3000 11365 1600

    22 C22 25 1500 1950 180 225 1 7300 3000 11365 2152

    23 C23 25 2000 2450 200 250 1 7300 3000 11365 2703

    24 C24 25 2500 2950 220 275 1 7300 3000 11365 3255

    25 C25 25 3000 3450 240 275 1 7300 3000 11365 3807

    26 C26 25 3500 3950 260 300 1 7300 3000 11365 4358

    27 C27 25 4000 4450 280 325 1 7300 3000 11365 4910

    28 C28 25 4500 4950 300 350 1 7300 3000 11365 5462

    29 C29 25 5000 5450 320 400 1 7300 3000 11365 6013

    30 C30 25 5500 5950 340 450 1 7300 3000 11365 6565

    2975

    CULVERT DATA

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    1 Slab Design KN-mm Applied Moment Mu 3.7 K-ft/ft Area of Steel Provided As 0.50 inSteel Yield Strength fy 40 KsiConcrete Crushing Strength fc' 3 KsiSlab Unit Width bw 300 12 inMember Thickness h 150 6 inClear Cover to Main Reinf. Cc 50 2 inEffective depth d 100 4 inMin Area of Steel Asmin 0.14 inStress block depth a=As*fy/.85*fc'*b 0.65 inchDesign Moment Md=.9*As*fy*(d-a/2) 66.12 K-in/ft

    5.51 K-ft/ft

    Factor of Safety 1.49 (O.K)Bar size used in the Design 12 4 No.Design Spacing and Bar size 117.50 4.70 Spacing in in.

    2 Beam Flexure Design Applied Moment Mu 118.75 K-ft/ft

    Area of Steel Provided As 2.2 inSteel Yield Strength fy 40 KsiConcrete Crushing Strength fc' 3 KsiUnit Width b 337.5 13.5 inBeam height excluding slab thick. h' 450 18Member Thickness h 600 24 inClear Cover to Main Reinf. Cc 60 2.4Effective depth d 540 21.6 inMin Area of Steel As min 1.46 inMax. Area of Steel As max 8.11 inStress block depth a=As*fy/.85*fc'*b 2.56 inchDesign Moment Md=.9*As*fy*(d-a/2) 1609.49 K-in/ft

    134.12 K-ft/ft

    Factor of Safety 1.13 (O.K)Bar Size to be Used Dia of Bar 20 6No. of bars to be Provided 5

    3 Beam Shear Design Applied Shear Vu 88 Kips Area of Steel Provided Input steel area as=0.11(#3) or 0.2(#4) 0.2 inSteel Yield Strength fy 60 KsiConcrete Crushing Strength fc' 3 KsiBeam Width bw 337.5 13.5 inMember Thickness h 600 24 inClear Cover to Main Reinf. Cc 150 6Effective depth d 450 18 inConcrete Resistance in Shear f Vc=2*f *(fc)^.5*bw*d 22.63 KipsDesign Spacing S= f *Av*fy*d/(Vu-f Vc) 2.81

    Min. Spacing Requirement S = Av*fy/(50*bw) 35.56 inS = d/2 9.00 in

    S = 24 in. 24.00 inRequired Spacing of Shear Reinf. 70.21 2.81 in

    O.K

    Use Dia 12 @ 70.21 mm c/c

    RCC Design Calculations for Culverts

    Use Dia 12 @ 117.5 mm c/c

    Provide 5 Dia 20 Bars

    F:\Ishaq\Standards\Culverts\Design\Design Calculation\245264767.xls.ms_office, Design

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    Dia in mm Bar No.(in.) Area Unit Weight Unitf 10 3 0.11 0.376 lb/ftf 12 4 0.20 0.668 lb/ftf 16 5 0.31 1.043 lb/ftf20 6 0.44 1.502 lb/ftf25 8 0.79 2.67 lb/ftf32 9 0.99 2.67

    4501072.89597772.895966

    0.75 tons 914.39997071.65345 Kips

    7.3545456 KN

    600

    450

    187.5

    36900

    Use Dia 12 @ 70.21 mm c/c

    Use Dia 12 @ 117.5 mm c/c

    Provide 5 Dia 20 Bars

    F:\Ishaq\Standards\Culverts\Design\Design Calculation\245264767.xls.ms_office, Design

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    Slab thickness requirement

    Description Simple Spans Continuous Span Material

    1 Slabs 1.2(S+3000)/30 (S+3000)/30 >=165mm

    2 T-Beams 0.070L 0.065L

    3 Box Beams 0.060L 0.055L

    4 Pedestrian Structure Beams 0.035L 0.033L

    5 Slabs 0.030L>=165mm 0.027L>=165mm

    6 CIP Box Beams 0.045L 0.040L

    7 Precast I-Beams 0.045L 0.040L

    8 Pedestrian Structure Beams 0.033L 0.030L

    9 Adjacent Box Beams 0.030L 0.025L

    R e

    i n f o r c e d

    C o n c r e

    t e

    P r e s

    t r e s s e

    d

    C o n c r e

    t e

    Codal Data (Requirement for the Design of Culverts)

    F:\Standardization\Culverts\Design\Design Calculation\General Data.xls

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    0.875

    F:\Standardization\Culverts\Design\Design Calculation\General Data.xls

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    SAP-2000 File Name and Path:F:\Ishaq\Standards\Culverts\Design\SAP Files\

    Design of Culvert No. C - Date:Description Value UnitClear Span Length S mmEffective Span Length S eff mmSlab Thickness hs mmLive Load causing max. effects LLBase Course thickness h base mm

    Asphaltic layer thickness h asphalt mmCulvert Length L mmSAP-2000 Results and AnalysisMin. area of steel for temperature and shrinkage As min inLive load used are HL-93 & Millitary class-70 tank

    1 Slab Positive Momentsa Moment relevant to main reinforcement Mu (main) K-ft/ft

    Steel area provided As inDesign Moment (for Main direction steel) Md (main) K-ft/ftBar dia and Spacing used mm c/cFactor of Safety FOS

    b Moment relevant to secondary (temp) reinforcement Mu (main) K-ft/ftSteel area provided As inDesign Moment (for temperature steel) Md (main) K-ft/ftBar dia and Spacing used mm c/cFactor of Safety FOS

    2 Slab Negative Momentsa Moment relevant to main reinforcement Mu (main) K-ft/ft

    Steel area provided As inDesign Moment (for Mu main) Md (main) K-ft/ftBar dia and Spacing used mm c/cFactor of Safety FOS

    b Moment relevant to secondary (temp) reinforcement Mu (main) K-ft/ftSteel area provided As inDesign Moment (for Mu main) Md (main) K-ft/ftBar dia and Spacing used mm c/cFactor of Safety FOS

    3 Beam Flexure Designa Moment relevant to main reinforcement Mu (main) K-ft/ft

    Min Steel Area As min inSteel area provided As inDesign Moment (for main steel) Md (main) K-ft/ftBar dia and Spacing used mm c/cFactor of Safety FOS

    4 Beam Shear Designa Applied Shear Vu Kips

    Concrete resistance f Vc KipsProvided Shear reinforcement S max mm c/c

    F:\Ishaq\Standards\Culverts\Design\Design Calculation\Culvert Data(General)), Design Proforma.xls

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    Beams Moments and Shear

    Description+ve Moment

    Kip-ft-ve Moment

    Kip-ftShear (Kips)

    A Foundation Level1 Radial Beams 25 46.26 8.882 Periphral Beam 35 65.3 4.86

    B Tie Beam Level, 22' above Foundation1 Periphral Beam 9.1 20.9 3.47C Floor Level, 32' above Foundation1 Radial Beams 240 436 11.562 Periphral Beam 51 67 55.9D Floor Level, 54' above Foundation1 Radial Beams 232 441 11.562 Periphral Beam 50 65.3 55.73E Floor Level, 65' above Foundation1 Radial Beams 229.7 459 7.682 Periphral Beam 50 65.9 56.6

    Dome Beams 12.11 20.68

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    Stirrups

    +Ve -Ve4,dia20 4,dia20 f 10 @ 2504,dia20 4,dia20 f 10 @ 250

    4,dia16 4,dia16 f 10 @ 250

    4,dia20 4,dia20

    4,dia20 4,dia20

    4,dia20 4,dia20

    Main Steel