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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