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    CALCULATION REPORT

    Worker Campus

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    Model

    Bending Moment- M33

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    Shear force

    Reaction

    Deformation

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    Joint Output CaseType Reaction Joint Output CaseType Reaction Joint Output CaseType Reaction

    Case Kg Case Kg Case Kg

    1 WSD Combination 5,709.28  12 WSD Combination 12,477.09  45 WSD Combination 8,689.26

    2 WSD Combination 8,661.53  13 WSD Combination 7,327.38  46 WSD Combination 9,306.40

    3 WSD Combination 7,355.11  36 WSD Combination 13,601.21  47 WSD Combination 9,284.32

    4 WSD Combination 12,493.47  37 WSD Combination 13,591.83  48 WSD Combination 9,283.25

    5 WSD Combination 12,462.95  38 WSD Combination 13,592.67  49 WSD Combination 9,282.15

    6 WSD Combination 12,461.93  39 WSD Combination 13,592.62  50 WSD Combination 9,281.83

     

    TABLE: Joint Reactions TABLE: Joint Reactions TABLE: Joint Reactions

    om nat on , .  om nat on , .  om nat on , .

    8 WSD Combination 12,460.58  41 WSD Combination 13,592.62  52 WSD Combination 9,283.25

    9 WSD Combination 12,460.89  42 WSD Combination 13,592.67  53 WSD Combination 9,284.32

    10 WSD Combination 12,461.93  43 WSD Combination 13,591.78  54 WSD Combination 9,306.40

    11 WSD Combination 12,463.00  44 WSD Combination 13,617.58  55 WSD Combination 5,709.28

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    Purlin

    DATA

    Length ,L 1 m.

    Spacing, @ 1 m.

    Slope of Roof 20 degree

    Load data

    Live Load 30 kg/m.2

    Dead Load

    Roof Material 15 kg/m.2

    Purlin 8 kg/m.2

    Other 15 kg/m.3

    Total Dead Load 38 kg/m.2

    Wind Load 50 kg/m.2

    Wind Load to perpendicular roof= (2Psinθ/1+sin^2θ) 30.62 kg/m.2

    Load Case

    Case 1 DL= Purlin spacing x DL= 38 kg/m.

    Case 2 DL+LL = spacing x(DL+LL )= 68 kg/m.

    Case 3 0.75(DL+LL+WL) x spacing = 73.97 kg/m.

    Load to purlin W = 75 kg/m.

    Wx = Wsinq = 25.65 kg/m.

    Wy = Wcosq = 70.48 kg/m.

    Member force from structural analysis program

    Moment max. = 8.00 kg.m.

    Section of modulus Sx = 0.56 cm.

    Use C 100x 50x20x3.2 mm. @ 1.20 m.

    Sx = 22.46 cm. 

    Ix = 112.29   cm.

    Max. deflection 0.00 cm

     Allowable deflection L/240 = 0.42 cm O.K.

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    Rafter 

    Data

    Length ,L 3.6 m.

    Lateral Support Lb = 1 m.

    Fy = 2400 kg/cm2

    Moment max. = 162 kg.m

      =  .

    Modulus of Section Sx = 11.25 cm.3

    Use REC_HSS 0

    Weight = 16.62 kg/m. Sx = 91.56 cm. Ix = 686.72 cm.

     tw = 4.5 mm Iy = 364.55 cm.

    tf = 4.5 mm bf= 100 mm

    d= 150 mm

    Compact or Noncompact Section

    11.11 > 0.38(E/Fy)^0.5 = 10.97

    h/tw = 29.33 < 3.76(E/Fy)^0.5 = 108.5

    Noncompact section

    Lateral Support Checking

    Compute Lc

      = . cm. or = . cm

    Choose Lc = 129.82 cm. (min. value)

    Lb = 100.00 cm.

    So Lb 162 kg-m   OK

    Shear Checkingh/tw = 31.33 < 3179/(Fy^0.5) = 64.89

    Fv = 0.4Fy = 960 kg/cm2

    Va = Aw.Fv = 6,480.00  kg. > 135  kg.   OK

     ax. e ect on . cm.

     Allowable deflection L/240 = 1.50 cm.   OK

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    Ridge

    Data

    Length ,L 4 m.

    Lateral Support Lb = 1 m.

    Fy = 2400 kg/cm2

    Moment max. = 306 kg.m

      =  .

    Modulus of Section Sx = 21.25 cm.3

    Use REC_HSS 150x100x4.5 mm.

    Weight = 16.62 kg/m. Sx = 91.56 cm. Ix = 686.72 cm.

     tw = 4.5 mm Iy = 364.55 cm.

    tf = 4.5 mm bf= 100 mm

    d= 150 mm

    Compact or Noncompact Section

    11.11 > 0.38(E/Fy)^0.5 = 10.97

    h/tw = 29.33 < 3.76(E/Fy)^0.5 = 108.5

    Noncompact section

    Lateral Support Checking

    Compute Lc

      = . cm. or = . cm

    Choose Lc = 129.82 cm. (min. value)

    Lb = 100.00 cm.

    So Lb 306 kg-m   OK

    Shear Checkingh/tw = 31.33 < 3179/(Fy^0.5) = 64.89

    Fv = 0.4Fy = 960 kg/cm2

    Va = Aw.Fv = 6,480.00  kg. > 135  kg.   OK

     ax. e ect on . cm.

     Allowable deflection L/240 = 1.67 cm.   OK

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    King Post

    Data

    Length 1.7 m.

    Fy = 2400 kg./cm.2

    K = 1

    Load P = 1,500  kg.

    M = 0 kg.m

     Assume Compression Allowable strength Fa = 0.40 Fy

    Fa = 960 kg/cm.2

    Required Cross-sectional Area P/ Fa = 1.56 cm.2

    Try Section 150 x 100 x4.5 mm.

     A = 21.17 cm.2

    r x = 5.69 cm. r y = 4.15 cm.

    Ix = 686.72 cm. Iy = 364.55 cm.

    Sx = 91.56 cm. Sy  = 72.91 cm.

    KL/r = 40.96

    0.311855

    131.36

    Case KL/r < Cc Then

     Fa = 1282.88 kg/cm.2

    f a = P/A = 70.85 kg/cm.

    fb = M/Sx = 0.00 kg/cm.

    Fb = 0.60Fy 1440 kg/cm.

    = 0.06 < 0.15

    0.06 < 1.00 O.K.

    Use 150 x 100 x4.5 mm.

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    Slab S1

    Short span(S) 2.00 m. m = S/L = 1.00

    Long span (L) 2.00 m. Two way slab

    Minimum thickness D= (2S+2L)/180 4.44 cm.

    Use thickness 10.00 cm.

    Concrete covering 2.5 cm.Effective thickness(d) 7.50 cm.

    Load

    Dead Load 240 kg/m2

    Live Load 150 kg/m2

    Finishing Load 50 kg/m2

    Total Load (w) 440 kg/m2

    Cmax = 0.058

    โมเมนตดัด Mmax = 102.08 kg.m

      Main reinforcement Rebar (As) = = 1.29 cm2

    Use Rebar RB 9 mm.@ 0.20 m. As = 3.18 cm2

    (Both side)

     Rb

     M 

    d  j fs

     M 

    ..

     

    Determine Effective thickness(d)= = 2.82 cm. < 7.50 cm. O.K.

     Rb

     M 

    d  j fs

     M 

    ..

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    Beam B1   B-1

    Section Width 0.15 m.

    Depth 0.30 m.

    Covering 0.03 m.

    d = 0.258 m.

    d' = 0.042 m.

    Dead Load B-1 108 kg/m.

    M+

    1,000 kg-m.

    V 1,700  kg

    Determine Flexural Reinforcement

    Mc =Rbd2= 1,132.31 kg-m. > M

    +Max.

     As1 = M+/fs.jd= 2.89 cm

    Bottom Bars(Tension) 3 DB 12 mm As = 3.39 cm2

    0 DB 0 mm As = 0.00 cm2

    Total 3.39 cm

    Top Bars(Compression) 2 DB 12 mm As = 2.26 cm2

    Design of Shear Reinforcement

    Shear, V 1700 kg

    Shear Capacity Vc = 0.29fc'^0.5(b.d) = 1626.37 kg

    V' = V -Vc= 73.63 kg

    Stirrup RB 6 mm. Av = 0.57 cm2

    Spacing s = Av.fv.d/(V') = 237.65 cm.

    spacing not exceed 0.15 m. OR 0.13 m.

    Use Stirrup RB 6 mm @ 0.15 m.

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    Beam B2

    Section Width 0.20 m.

    Depth 0.40 m.

    Covering 0.03 m.

    d = 0.356 m.

    d' = 0.044 m.

    Dead Load B2 192 kg/m.

    M+

    2,000 kg-m.

    V 2,000  kg

    Determine Flexural Reinforcement

    Mc =Rbd2= 2,874.53 kg-m. > M

    +Max.

     As1 = M+/fs.jd= 4.19 cm

    Bottom Bars(Tension) 3 DB 16 mm As = 6.03 cm2

    0 DB 0 mm As = 0.00 cm2

    Total 6.03 cm

    Top Bars(Compression) 2 DB 16 mm As = 4.02 cm2

    Design of Shear Reinforcement

    Shear, V 2000 kg

    Shear Capacity Vc = 0.29fc'^0.5(b.d) = 2992.18 kg

    V' = V -Vc= -992.18 kg

    Stirrup RB 6 mm. Av = 0.57 cm2

    Spacing s = Av.fv.d/(V') = -24.34 cm.

    spacing not exceed 0.20 m. OR 0.18 m.

    Use Stirrup RB 6 mm @ 0.15 m.

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    Beam   B-3

    Section Width 0.20 m.

    Depth 0.40 m.

    Covering 0.03 m.

    d = 0.356 m.

    d' = 0.044 m.

    Dead Load B-3 192 kg/m.

    M+

    3,700 kg-m.

    V 3,100  kg

    Determine Flexural Reinforcement

    Mc =Rbd2= 2,874.53 kg-m. < M +Max.

    M' = M+ - Mc 825 kg-m.

     As1 = Mc/fs.jd= 6.03 cm

     As2 = M'/fs(d-d')= 1.76 cm

     As =  As1+As2 = 7.79 cm

    Bottom Bars(Tension) 2 DB 16 mm As = 4.02 cm

    2 DB 16 mm As = 4.02 cm2

    Total 8.04 cm2

    Top Bars(Compression) As' = 0.5As2((1-k)/k-(d'/d))= 3.02 cm

    2 DB 16 mm As = 4.02 cm2

    2 DB 16 mm As = 4.02 cm2

    Total 8.04 cm2

    Design of Shear Reinforcement

    Shear, V 3100 kg

    Shear Capacity Vc = 0.29fc'^0.5(b.d) = 2992.18 kg

    V' = V -Vc= 107.82 kg

    Use stirrup RB 6 mm. Av = 0.57 cm2

    Spacing s = Av.fv.d/(V') = 223.94 cm.spacing not exceed 0.20 m. OR 0.178 m

    Use Stirrup RB 6 mm @ 0.15 m.

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    Beam   B-4

    Section Width 0.20 m.

    Depth 0.50 m.

    Covering 0.03 m.

    d = 0.451 m.

    d' = 0.049 m.

    Dead Load B-4 240 kg/m.

    M+

    7,500 kg-m.

    V 6,900  kg

    Determine Flexural Reinforcement

    Mc =Rbd2= 4,613.38 kg-m. < M +Max.

    M' = M+ - Mc 2,887 kg-m.

     As1 = Mc/fs.jd= 7.64 cm

     As2 = M'/fs(d-d')= 4.79 cm

     As =  As1+As2 = 12.43 cm

    Bottom Bars(Tension) 2 DB 20 mm As = 6.28 cm

    2 DB 20 mm As = 6.28 cm2

    Total 12.56 cm2

    Top Bars(Compression) As' = 0.5As2((1-k)/k-(d'/d))= 7.63 cm

    2 DB 20 mm As = 6.28 cm2

    2 DB 20 mm As = 6.28 cm2

    Total 12.56 cm2

    Design of Shear Reinforcement

    Shear, V 6900 kg

    Shear Capacity Vc = 0.29fc'^0.5(b.d) = 3790.65 kg

    V' = V -Vc= 3109.35 kg

    Use stirrup RB 9 mm. Av = 1.27 cm2

    Spacing s = Av.fv.d/(V') = 22.13 cm.spacing not exceed 0.20 m. OR 0.2255 m

    Use Stirrup RB 9 mm @ 0.20 m.

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    Column C-1

     Axial load,P 3,000  kg.

    Moment,M 300  kg.m

    Dimension

    b = 20 cm

    h = 20 cm

    Use rebar 4 DB 12 mm Ast = 4.52 cm2

    Total area of steel 4.52 cm2

     pg = 0.011304 1.13 % OK

    m=fy/(0.85f 'c) = 16.81 ksc

    concrete covering 3 cm

    Use Stirrup RB 6 mm

    t = h = 20 cm

    d' = 4.2 cm

    eb = (0.67pgm+0.17)(t-d') =   4.70

    e = M/P = 10.00 cm. Tension zone

    I = bh3/12 + (2n-1)As(hl

    2/4) 15919.1459 cm

    Fa =0.34(1+p m)f'c = 84.96 ksc  .

    Fb =0.45f'c = 94.5

    fb=MxCx/Ix = 18.8 ksc

    fa=Pb/Ag = 0.0025 Pb

    (fa/Fa) +(fb/Fb) =1

    Pb = 27,208.43  kg

    Mb = Pb x (eb/100 )= 1,278.02  kg.m

    M = 300  kg.m

    Mo=0.4Asf y jd = 680.49  kg.m As =   4.02 cm

    safe but not economy

     P= Pb(M-Mo)/(Mb-Mo)= 17,325.55- kg < 3,000  kg. OK

    Use 4 DB 12 mm. rebar  

    RB 6 m. @ 0.20 m. Stirrup

    20

    20

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    Column Pier 

     Axial load,P 15,000  kg.

    Moment,M 300  kg.m

    Dimension

    b = 20 cm

    h = 20 cm

    Use rebar 4 DB 12 mm Ast = 4.52 cm2

    Total area of steel 4.52 cm2

     pg = 0.011304 1.13 % OK

    m=fy/(0.85f 'c) = 13.45 ksc

    concrete covering 3 cm

    Use Stirrup RB 6 mm

    t = h = 20 cm

    d' = 4.2 cm

    e = M/P = 2.00 cm.

    Pa =0.85Agf'c(0.25 + 0.34mpg) = 21,539.63  kg

    I = bh3/12 + (2n-1)As(hl

    2/4) 15,919.15  cm 

    Fa =0.34(1+pgm)f'c = 82.25 ksc

    Fb =0.45f'c = 94.5

    fb=MxCx/Ix = 18.8 ksc

    fa=Pb/Ag = 0.0025 Pb

    Po= Fa Ag= 32,900.74  kg

    S =Ix/Cx= 1,591.91  cm3

    Ms = Fb.S 150,435.93  kg-cm

    ea =Ms((1/Pa)-(1/Po)) = 2.41  cm. e P It's safety

    Use 4 DB 12 mm. rebar  

    RB 6 m. @ 0.20 m. Stirrup

    20

    20

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    SPREAD FOOTING F1

    Axial load 9,000  kg.

    Size of Column

    a parallel Y-axis 0.2 m.

     b parallel X-axis resist Momen 0.2 m.

    Allowable Soil Pressure 8,000  kg./m2

    Self Weigth of Footing 720 kg./m2

    Soil above footing 2028 kg./m2

    Required area 1.80  m2

    use

    Size of Footing

     B parallel Y-axis 1.40 m.

    L parallel X-axis 1.40 m. Area = 1.96  m2

    Depth 0.3 m.

    Covering 0.05 m.

    d = 0.24 m.

    Below the ground 1.50 m.

     Net soil pressure 4,591.84  kg./m2

    < 8,000  kg./m2

    OK 

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    Bending Moment at the edge of column (about Y-axis ,My)

    Distance from the edge of the column (X-direction) 0.6 m.

    My = 826.53  kg.m.

    Steel bars in X-direction

    Ast = M+/fs.jd= 2.54 cm2

    As,temp = 8.40 cm2 (0.002bh for SD30 )

    10 DB 12 mm As = 11.30 cm2 @ 0.14 m.

    Bending Moment at the edge of column (about X-axis ,Mx)

    Distance from the edge of the column (y-direction) 0.6 m.

    My = 826.53  kg.m.

    Steel bars in Y-direction

    Ast = M+/fs.jd= 2.54 cm2

    As,temp = 8.40 cm2 (0.002bh for SD30 )

     10 DB 12 mm As = 11.30 cm  @ 0.14 m.

    Shear Checking

    1.One way shear 

    v p = 4.20 ksc

    Distance from the edge of the column, d 0.36 m.

    Shear force at critical section Vp = 2,288.57  kg.

    Critical section area 3416 cm2

    Vp = 0.67  ksc . < 4.20 ksc. OK  

    2.Punching shear 

    vc = 7.68 ksc

    Shear force at critical section V 8,094.78  kg.

    Perimeter b0 177.6 cm

    Puncing area 4333.44 cm2

     Vc = 1.87  ksc . < 7.68 ksc. OK  

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    SPREAD FOOTING F2

    Axial load 15,000  kg.

    Size of Column

    a parallel Y-axis 0.2 m.

     b parallel X-axis resist Momen 0.2 m.

    Allowable Soil Pressure 8,000  kg./m2

    Self Weigth of Footing 720 kg./m2

    Soil above footing 2028 kg./m2

    Required area 3.00  m2

    use

    Size of Footing

     B parallel Y-axis 1.60 m.

    L parallel X-axis 1.60 m. Area = 2.56  m2

    Depth 0.30 m.

    Covering 0.05 m.

    d = 0.24 m.

    Below the ground 1.50 m.

     Net soil pressure 5,859.38  kg./m2

    < 8,000  kg./m2

    OK 

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    Bending Moment at the edge of column (about Y-axis ,My)

    Distance from the edge of the column (X-direction) 0.7 m.

    My = 1,435.55  kg.m.

    Steel bars in X-direction

    Ast = M+/fs.jd= 4.41 cm2

    As,temp = 9.60 cm2 (0.002bh for SD30 )

    12 DB 12 mm As = 13.56 cm2 @ 0.14 m.

    Bending Moment at the edge of column (about X-axis ,Mx)

    Distance from the edge of the column (y-direction) 0.7 m.

    My = 1,435.55  kg.m.

    Steel bars in Y-direction

    Ast = M+/fs.jd= 4.41 cm2

    As,temp = 9.60 cm2 (0.002bh for SD30 )

     12 DB 12 mm As = 13.56 cm  @ 0.14 m.

    Shear Checking

    1.One way shear 

    v p = 4.20 ksc

    Distance from the edge of the column, d 0.46 m.

    Shear force at critical section Vp = 4,275.00  kg.

    Critical section area 3904 cm2

    Vp = 1.10  ksc . < 4.20 ksc. OK  

    2.Punching shear 

    vc = 7.68 ksc

    Shear force at critical section V 13,844.91  kg.

    Perimeter b0 177.6 cm

    Puncing area 4333.44 cm2

     Vc = 3.19  ksc . < 7.68 ksc. OK