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    DESIGNED BY KEVIN TANTSEVI

    DEPARTMENT OF CIVIL AND ENVIRONMENTAL ENGINEERINGCARNEGIE MELLON UNIVERSITY

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    COPYRIGHT

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    : CAE Date: 01/13/13

    : Kevin Tantisevi

    Member : b1 Types of Beam: 3 spans Beam Width: 15 inches

    DESIGN CRITERIA:

    Concrete Strength ( f'c ) = 6,000 psi

    Elastic Modulus of Concrete (Ec

    ) = 4.42E+06 psi

    Reinforcing bar Yield Strength ( fyr ) = 40,000 psi

    Stirrups Yield Strength (fys) = 40,000 psi

    PARAMETER FOR FLEXURAL DESIGN :

    b1 = 0.75

    rb = 0.066

    rmin. = 0.005

    r = 0.0328

    w = 0.2184

    kn = 1141.4

    PARAMETER FOR SHEAR DESIGN :

    B*f'c(1/2)

    = 1161.90

    Maximum number of bars in a row: 6

    Project's name

    Designer's name

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    Load Data A Single span beam

    P1DL kips L ft.

    P1LL kips a ft.

    P2DL kips b ft.

    P2LL kips

    DL kips / ft.

    LL kips / ft.

    Dead Weight of Beam = 0.52 kips/ft

    0.00 kips

    total factored Point Load 2 = 0.00 kips

    total factored Uniform Load = 0.72 kips

    VA = #DIV/0! kips

    VB = #DIV/0! kips

    Max. Shear = #DIV/0! kips

    Max. ultimate positive moment = #DIV/0! kips.ft

    Max. ultimate negative moment = 0 kips.ft

    hmin = 0 inchesreq' d = #DIV/0! inches

    Determine depth (d) and thickness (h)

    Use Beam Depth = #DIV/0! inches Thickness = #DIV/0! inches

    Check the beam weight by recalculating the load . Passed

    Determine As

    req' As = #DIV/0! inches.2

    Bar No. 5 6 7 8 9 10 11 14

    Area / bar (in2) 0.31 0.44 0.6 0.79 1 1.27 1.56 2.25

    No. of bars* #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!

    Min. number of 2 steel bars is required

    Use the top bar = 2 No. 14 bar Use the bottom bar size = 4 No. 14 bar

    Check Shear

    Check if Bd(f'c)1/2

    > Vmax/ f

    The shear reinforcement is #DIV/0!

    Bar No. 3 4 5

    Area (in2) 0.22 0.4 0.62

    Spacing of bars #DIV/0! #DIV/0! #DIV/0!

    Use the spacing of #DIV/0! #DIV/0!

    total factored Point Load 1 =

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    Load Data

    A two span continuous beam

    PDLa1 kips L1 ft.

    PLLa1 kips a1 ft.

    PDLb1 kips b1 ft.

    PLLb1 kipsDL1 kips / ft.

    LL1 kips / ft.

    PDLa2 kips L2 ft.

    PLLa2 kips a2 ft.

    PDLb2 kips b2 ft.

    PLLb2 kips

    DL2 kips / ft.

    LL2 kips / ft.

    Factored Load Case

    0.72 kips / ft.

    Case Description Pa1 Pb1 UL1 Pa2 Pb2 UL2

    1 Full DL 0 0 0 0 0 02 Half Left LL 0 0 0 0 0 0

    3 Full LL 0 0 0 0 0 0

    4 Half Right LL 0 0 0 0 0 0

    Result of end moment

    case A B B C

    1 0.00 727.01 -727.01 0.00

    2 0.00 283.33 -283.33 0.00

    3 0.00 850.00 -850.00 0.00

    4 0.00 566.67 -566.67 0.00

    max. absolute 0.00 1578.00 1578.00 0.00

    Result of midspan moment and shear

    case VAR MAB VBLVBR MBC VCL

    1 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!

    2 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!

    3 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!

    4 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!

    max. absolute #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!

    Max. Shear = #DIV/0! kips

    Max.positive moment = #DIV/0! kips.ft

    Max. negative moment = 1578.00 kips.ft

    hmin = 0 inchesreq' d = #DIV/0! inches

    Determine depth (d) and thickness (h)

    Use Beam Depth = #DIV/0! inches Thickness = #DIV/0! inches

    Check the beam weight by recalculating the load . Passed

    Determine As

    req' As+ = #DIV/0! inches.2

    req' As- = #DIV/0! inches.2

    Bar No. 5 6 7 8 9 10 11 14

    Area / bar (in2) 0.31 0.44 0.6 0.79 1 1.27 1.56 2.25

    No. of bottom bars #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!

    No. of top bars #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!Min. number of 2 steel bars is required

    Use top bar = 7 No. 14 bar Use Bottom bar = 5 No. 11 bar

    factored Beam weight

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    Load Data

    A three span continuous beam

    PDLa1 100 kips L1 15 ft.

    PLLa1 100 kips a1 10 ft.

    PDLb1 0 kips b1 0 ft.PLLb1 0 kips

    DL1 5 kips / ft.

    LL1 5 kips / ft.

    PDLa2 0 kips L2 15 ft.

    PLLa2 0 kips a2 0 ft.

    PDLb2 0 kips b2 0 ft.

    PLLb2 0 kips

    DL2 5 kips / ft.

    LL2 5 kips / ft.

    PDLa3 0 kips L3 12 ft.

    PLLa3 0 kips a3 0 ft.

    PDLb3 100 kips b3 4 ft.

    PLLb3 200 kipsDL3 5 kips / ft.

    LL3 5 kips / ft.

    Factored Load Case

    0.5 kips / ft.

    Case Description Pa1 Pb1 UL1 Pa2 Pb2 UL2

    1 Full DL 140 0 7 0 0 7

    2 1 and 3 LL 170 0 8.5 0 0 0

    3 1 and 2 LL 170 0 8.5 0 0 8.5

    4 2 LL 0 0 0 0 0 8.5

    5 2 and 3 LL 0 0 0 0 0 8.5

    Result of end moment

    case A B B C C D

    1 0.00 357.35 -357.35 251.03 -251.03 0.00

    2 0.00 278.82 -278.82 415.39 -415.39 0.00

    3 0.00 489.70 -489.70 -2.72 2.72 0.00

    4 0.00 91.07 -91.07 91.07 -91.07 0.00

    5 0.00 -28.74 28.74 600.26 -600.26 0.00

    max. absolute 0.00 848.00 848.00 852.00 852.00 0.00

    Result of midspan moment and shear

    case VAR MAB VBL VBR MBC VCL VCR

    1 78.98 -107.06 173.30 63.23 -43.65 49.05 159.17 -

    2 101.83 -133.70 195.67 -9.10 55.39 9.10 312.28 -

    3 87.77 -119.64 209.73 96.58 -159.74 30.92 -0.23

    4 -6.07 6.07 6.07 63.75 -147.23 63.75 7.59

    5 1.92 -1.92 -1.92 21.82 -79.34 105.68 327.69 -

    max. absolute 181.00 241.00 384.00 160.00 204.00 155.00 487.00 5

    Max. Shear = 384.00 kips

    Max.positive moment = 569.00 kips.ft

    Max. negative moment = 852.00 kips.ft

    hmin = 10 inches

    req' d = 27 inches

    Determine depth (d) and thickness (h)

    Use Beam Depth = 27 inches Thickness = 29 inches

    Check the beam weight by recalculating the load . Passed

    factored Beam weight

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    15 ft. 15 ft. 12 ft.

    Section 1-1, 2-2, 3-3 Drawing details for b1

    A B

    1

    1

    2

    2C

    3

    3

    29

    15

    5 No. 14 bar

    4 No. 14 bar

    11 inches. of No. 3 bar c/c

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    A B

    1

    1

    A B

    1

    1

    2

    2C

    A B

    1

    1

    2

    2

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    3

    3D

    C

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