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Calculation of Bolts

1. The document calculates the allowable stresses and loads on bolts used to anchor a structure. It specifies the bolt dimensions, material properties, and calculates dead and live loads. 2. Forces on 8 bolts arranged in an anchor pattern are calculated. Tension, shear, and combined stresses are determined and checked against allowable values. 3. All bolts are found to have stresses below the allowable limits for tension, shear, and combined loading, therefore the bolt arrangement is determined to be sufficient.

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titie
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246 views22 pages

Calculation of Bolts

1. The document calculates the allowable stresses and loads on bolts used to anchor a structure. It specifies the bolt dimensions, material properties, and calculates dead and live loads. 2. Forces on 8 bolts arranged in an anchor pattern are calculated. Tension, shear, and combined stresses are determined and checked against allowable values. 3. All bolts are found to have stresses below the allowable limits for tension, shear, and combined loading, therefore the bolt arrangement is determined to be sufficient.

Uploaded by

titie
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as XLS, PDF, TXT or read online on Scribd
You are on page 1/ 22

1-1per2"

Calculation of Bolt
Pu Y
6 5

2. Spesification
Bolt = 39 mm
8 7
Nominal Diameter = 38.10 mm 46.5 61.5 20 20
Effective Diameter = 32.90 mm
Yield strength = 2100 kg/cm2
Stress for concrete = 7.13 kg/cm2

3. Allowable Stresses
Shear = 0.40 Fy = 840.00 kg/cm2
Tension = 0.6 Fy = 1260.00 kg/cm2
Combined = 0.66 Fy = 1386.00 kg/cm2

4. Structure Load
Dead Load (DL) = 1800 x 45% = 810 kg
Live Load (LL) = 850 x 45% = 382.5 kg

Ultimate Load (Pu) = 1.4 x DL + 1.6 x LL


= 1746 kg

Moment (m) = Pu x a a= 101.5 cm


= 177219 kg.cm

No x y x2 y2 M Riv Rih
cm cm cm2 cm2 kgcm kg kg
1 20 5.5 400 30.25 177,219 430.04 118.26
2 40 5.5 1,600 30.25 177,219 860.08 118.26
3 20 -5.5 400 30.25 177,219 430.04 -118.26
4 40 -5.5 1,600 30.25 177,219 860.08 -118.26
5 -20 5.5 400 30.25 177,219 -430.04 118.26
6 -40 5.5 1,600 30.25 177,219 -860.08 118.26
7 -20 -5.5 400 30.25 177,219 -430.04 -118.26
8 -40 -5.5 1,600 30.25 177,219 -860.08 -118.26

Page 1
1-1per2"
Total 8000 242

TENSION
No Allowable
kg kg
1 10706.11731 > 658.99 OK
2 10706.11731 > 1084.79 OK
3 10706.11731 > 658.99 OK
4 10706.11731 > 1084.79 OK
5 10706.11731 > 242.57 OK
6 10706.11731 > 652.63 OK
7 10706.11731 > 242.57 OK
8 10706.11731 > 652.63 OK

SHEAR
No Allowable
kg kg
1 7137.41154 > 218.25 OK
2 7137.41154 > 218.25 OK
3 7137.41154 > 218.25 OK
4 7137.41154 > 218.25 OK
5 7137.41154 > 218.25 OK
6 7137.41154 > 218.25 OK
7 7137.41154 > 218.25 OK
8 7137.41154 > 218.25 OK

COMBINED
No Allowable
kg kg
1 11776.72904 > 667.96 OK
2 11776.72904 > 1090.27 OK
3 11776.72904 > 667.96 OK
4 11776.72904 > 1090.27 OK
5 11776.72904 > 265.99 OK
6 11776.72904 > 661.69 OK
7 11776.72904 > 265.99 OK

Page 2
1-1per2"
8 11776.72904 > 661.69 OK

Length of Anchor
No P L
kg cm
1 11416.66667 155.00
2 218.25 2.96
3 218.25 2.96
4 218.25 2.96
5 218.25 2.96
6 218.25 2.96
7 218.25 2.96
8 218.25 2.96
Total

Page 3
1-1per2"

Y
1
4.5
5.5
X
5.5
4.5
3
20 20

ΔPv Tension Combined


kg kg kg
218.25 658.99 667.96
218.25 1084.79 1,090.27
218.25 658.99 667.96
218.25 1084.79 1,090.27
218.25 242.57 265.99
218.25 652.63 661.69
218.25 242.57 265.99
218.25 652.63 661.69

Page 4
1-1per2"

Page 5
Calculation of Bolt
Pu Y
6 5
1. Up stair = (45% of total load)

2. Spesification
Bolt = 32 mm
8 7
Nominal Diameter = 31.80 mm 46.5 61.5 20 20
Effective Diameter = 27.30 mm
Yield strength = 2100 kg/cm2
Stress for concrete = 7.13 kg/cm2

3. Allowable Stresses
Shear = 0.40 Fy = 840.00 kg/cm2
Tension = 0.6 Fy = 1260.00 kg/cm2
Combined = 0.66 Fy = 1386.00 kg/cm2

4. Structure Load
Dead Load (DL) = 1800 x 45% = 810 kg
Live Load (LL) = 850 x 45% = 382.5 kg

Ultimate Load (Pu) = 1.4 x DL + 1.6 x LL


= 1746 kg

Moment (m) = Pu x a a= 101.5 cm


= 177219 kg.cm

No x y x2 y2 M Riv Rih
cm cm cm2 cm2 kgcm kg kg
1 20 5.5 400 30.25 177,219 430.04 118.26
2 40 5.5 1,600 30.25 177,219 860.08 118.26
3 20 -5.5 400 30.25 177,219 430.04 -118.26
4 40 -5.5 1,600 30.25 177,219 860.08 -118.26
5 -20 5.5 400 30.25 177,219 -430.04 118.26
6 -40 5.5 1,600 30.25 177,219 -860.08 118.26
7 -20 -5.5 400 30.25 177,219 -430.04 -118.26
8 -40 -5.5 1,600 30.25 177,219 -860.08 -118.26
Total 8000 242

TENSION
No Allowable
kg kg
1 7371.66339 > 658.99 OK
2 7371.66339 > 1084.79 OK
3 7371.66339 > 658.99 OK
4 7371.66339 > 1084.79 OK
5 7371.66339 > 242.57 OK
6 7371.66339 > 652.63 OK
7 7371.66339 > 242.57 OK
8 7371.66339 > 652.63 OK

SHEAR
No Allowable
kg kg
1 4914.44226 > 218.25 OK
2 4914.44226 > 218.25 OK
3 4914.44226 > 218.25 OK
4 4914.44226 > 218.25 OK
5 4914.44226 > 218.25 OK
6 4914.44226 > 218.25 OK
7 4914.44226 > 218.25 OK
8 4914.44226 > 218.25 OK

COMBINED
No Allowable
kg kg
1 8108.829729 > 667.96 OK
2 8108.829729 > 1090.27 OK
3 8108.829729 > 667.96 OK
4 8108.829729 > 1090.27 OK
5 8108.829729 > 265.99 OK
6 8108.829729 > 661.69 OK
7 8108.829729 > 265.99 OK
8 8108.829729 > 661.69 OK

Length of Anchor
No P L
kg cm
1 4500 73.63
2 218.25 3.57
3 218.25 3.57
4 218.25 3.57
5 218.25 3.57
6 218.25 3.57
7 218.25 3.57
8 218.25 3.57
Total
Y
1
4.5
5.5
X
5.5
4.5
3
20 20

ΔPv Tension Combined


kg kg kg
218.25 658.99 667.96
218.25 1084.79 1,090.27
218.25 658.99 667.96
218.25 1084.79 1,090.27
218.25 242.57 265.99
218.25 652.63 661.69
218.25 242.57 265.99
218.25 652.63 661.69
Calculation of Bolt
Pu Y
6 5
1. Up stair = (45% of total load)

2. Spesification
Bolt = 26 mm
8 7
Nominal Diameter = 25.40 mm 46.5 61.5 20 20
Effective Diameter = 21.50 mm
Yield strength = 2100 kg/cm2
Stress for concrete = 7.13 kg/cm2

3. Allowable Stresses
Shear = 0.40 Fy = 840.00 kg/cm2
Tension = 0.6 Fy = 1260.00 kg/cm2
Combined = 0.66 Fy = 1386.00 kg/cm2

4. Structure Load
Dead Load (DL) = 1800 x 45% = 810 kg
Live Load (LL) = 850 x 45% = 382.5 kg

Ultimate Load (Pu) = 1.4 x DL + 1.6 x LL


= 1746 kg

Moment (m) = Pu x a a= 101.5 cm


= 177219 kg.cm

No x y x2 y2 M Riv Rih
cm cm cm2 cm2 kgcm kg kg
1 20 5.5 400 30.25 177,219 430.04 118.26
2 40 5.5 1,600 30.25 177,219 860.08 118.26
3 20 -5.5 400 30.25 177,219 430.04 -118.26
4 40 -5.5 1,600 30.25 177,219 860.08 -118.26
5 -20 5.5 400 30.25 177,219 -430.04 118.26
6 -40 5.5 1,600 30.25 177,219 -860.08 118.26
7 -20 -5.5 400 30.25 177,219 -430.04 -118.26
8 -40 -5.5 1,600 30.25 177,219 -860.08 -118.26
Total 8000 242

TENSION
No Allowable
kg kg
1 4572.11475 > 658.99 OK
2 4572.11475 > 1084.79 OK
3 4572.11475 > 658.99 OK
4 4572.11475 > 1084.79 OK
5 4572.11475 > 242.57 OK
6 4572.11475 > 652.63 OK
7 4572.11475 > 242.57 OK
8 4572.11475 > 652.63 OK

SHEAR
No Allowable
kg kg
1 3048.0765 > 218.25 OK
2 3048.0765 > 218.25 OK
3 3048.0765 > 218.25 OK
4 3048.0765 > 218.25 OK
5 3048.0765 > 218.25 OK
6 3048.0765 > 218.25 OK
7 3048.0765 > 218.25 OK
8 3048.0765 > 218.25 OK

COMBINED
No Allowable
kg kg
1 5029.326225 > 667.96 OK
2 5029.326225 > 1090.27 OK
3 5029.326225 > 667.96 OK
4 5029.326225 > 1090.27 OK
5 5029.326225 > 265.99 OK
6 5029.326225 > 661.69 OK
7 5029.326225 > 265.99 OK
8 5029.326225 > 661.69 OK

Length of Anchor
No P L
kg cm
1 1900 39.47
2 218.25 4.53
3 218.25 4.53
4 218.25 4.53
5 218.25 4.53
6 218.25 4.53
7 218.25 4.53
8 218.25 4.53
Total
Y
1
4.5
5.5
X
5.5
4.5
3
20 20

ΔPv Tension Combined


kg kg kg
218.25 658.99 667.96
218.25 1084.79 1,090.27
218.25 658.99 667.96
218.25 1084.79 1,090.27
218.25 242.57 265.99
218.25 652.63 661.69
218.25 242.57 265.99
218.25 652.63 661.69
Calculation of Bolt
Pu Y
6 5
1. Up stair = (45% of total load)

2. Spesification
Bolt = 23 mm
8 7
Nominal Diameter = 22.20 mm 46.5 61.5 20 20
Effective Diameter = 18.70 mm
Yield strength = 2100 kg/cm2
Stress for concrete = 7.13 kg/cm2

3. Allowable Stresses
Shear = 0.40 Fy = 840.00 kg/cm2
Tension = 0.6 Fy = 1260.00 kg/cm2
Combined = 0.66 Fy = 1386.00 kg/cm2

4. Structure Load
Dead Load (DL) = 1800 x 45% = 810 kg
Live Load (LL) = 850 x 45% = 382.5 kg

Ultimate Load (Pu) = 1.4 x DL + 1.6 x LL


= 1746 kg

Moment (m) = Pu x a a= 101.5 cm


= 177219 kg.cm

No x y x2 y2 M Riv Rih
cm cm cm2 cm2 kgcm kg kg
1 20 5.5 400 30.25 177,219 430.04 118.26
2 40 5.5 1,600 30.25 177,219 860.08 118.26
3 20 -5.5 400 30.25 177,219 430.04 -118.26
4 40 -5.5 1,600 30.25 177,219 860.08 -118.26
5 -20 5.5 400 30.25 177,219 -430.04 118.26
6 -40 5.5 1,600 30.25 177,219 -860.08 118.26
7 -20 -5.5 400 30.25 177,219 -430.04 -118.26
8 -40 -5.5 1,600 30.25 177,219 -860.08 -118.26
Total 8000 242

TENSION
No Allowable
kg kg
1 3458.78379 > 658.99 OK
2 3458.78379 > 1084.79 OK
3 3458.78379 > 658.99 OK
4 3458.78379 > 1084.79 OK
5 3458.78379 > 242.57 OK
6 3458.78379 > 652.63 OK
7 3458.78379 > 242.57 OK
8 3458.78379 > 652.63 OK

SHEAR
No Allowable
kg kg
1 2305.85586 > 218.25 OK
2 2305.85586 > 218.25 OK
3 2305.85586 > 218.25 OK
4 2305.85586 > 218.25 OK
5 2305.85586 > 218.25 OK
6 2305.85586 > 218.25 OK
7 2305.85586 > 218.25 OK
8 2305.85586 > 218.25 OK

COMBINED
No Allowable
kg kg
1 3804.662169 > 667.96 OK
2 3804.662169 > 1090.27 OK
3 3804.662169 > 667.96 OK
4 3804.662169 > 1090.27 OK
5 3804.662169 > 265.99 OK
6 3804.662169 > 661.69 OK
7 3804.662169 > 265.99 OK
8 3804.662169 > 661.69 OK

Length of Anchor
No P L
kg cm
1 2667.5 63.72
2 218.25 5.21
3 218.25 5.21
4 218.25 5.21
5 218.25 5.21
6 218.25 5.21
7 218.25 5.21
8 218.25 5.21
Total
Y
1
4.5
5.5
X
5.5
4.5
3
20 20

ΔPv Tension Combined


kg kg kg
218.25 658.99 667.96
218.25 1084.79 1,090.27
218.25 658.99 667.96
218.25 1084.79 1,090.27
218.25 242.57 265.99
218.25 652.63 661.69
218.25 242.57 265.99
218.25 652.63 661.69
Calculation of Bolt
Pu Y
6 5 1
1. Up stair = (45% of total load) 4.5
5.5
X
2. Spesification 5.5
Bolt = 20 mm 4.5
8 7 3
Nominal Diameter = 19.10 mm 46.5 61.5 20 20 20 20
Effective Diameter = 15.90 mm
Yield strength = 2100 kg/cm2
Stress for concrete = 7.13 kg/cm2

3. Allowable Stresses
Shear = 0.40 Fy = 840.00 kg/cm2
Tension = 0.6 Fy = 1260.00 kg/cm2
Combined = 0.66 Fy = 1386.00 kg/cm2

4. Structure Load
Dead Load (DL) = 1800 x 45% = 810 kg
Live Load (LL) = 850 x 45% = 382.5 kg

Ultimate Load (Pu) = 1.4 x DL + 1.6 x LL


= 1746 kg

Moment (m) = Pu x a a= 101.5 cm


= 177219 kg.cm

No x y x2 y2 M Riv Rih ΔPv Tension Combined


cm cm cm2 cm2 kgcm kg kg kg kg kg
1 20 5.5 400 30.25 177,219 430.04 118.26 218.25 658.99 667.96
2 40 5.5 1,600 30.25 177,219 860.08 118.26 218.25 1084.79 1,090.27
3 20 -5.5 400 30.25 177,219 430.04 -118.26 218.25 658.99 667.96
4 40 -5.5 1,600 30.25 177,219 860.08 -118.26 218.25 1084.79 1,090.27
5 -20 5.5 400 30.25 177,219 -430.04 118.26 218.25 242.57 265.99
6 -40 5.5 1,600 30.25 177,219 -860.08 118.26 218.25 652.63 661.69
7 -20 -5.5 400 30.25 177,219 -430.04 -118.26 218.25 242.57 265.99
8 -40 -5.5 1,600 30.25 177,219 -860.08 -118.26 218.25 652.63 661.69
Total 8000 242

TENSION
No Allowable
kg kg
1 2500.54371 > 658.99 OK
2 2500.54371 > 1084.79 OK
3 2500.54371 > 658.99 OK
4 2500.54371 > 1084.79 OK
5 2500.54371 > 242.57 OK
6 2500.54371 > 652.63 OK
7 2500.54371 > 242.57 OK
8 2500.54371 > 652.63 OK

SHEAR
No Allowable
kg kg
1 1667.02914 > 218.25 OK
2 1667.02914 > 218.25 OK
3 1667.02914 > 218.25 OK
4 1667.02914 > 218.25 OK
5 1667.02914 > 218.25 OK
6 1667.02914 > 218.25 OK
7 1667.02914 > 218.25 OK
8 1667.02914 > 218.25 OK

COMBINED
No Allowable
kg kg
1 2750.598081 > 667.96 OK
2 2750.598081 > 1090.27 OK
3 2750.598081 > 667.96 OK
4 2750.598081 > 1090.27 OK
5 2750.598081 > 265.99 OK
6 2750.598081 > 661.69 OK
7 2750.598081 > 265.99 OK
8 2750.598081 > 661.69 OK

Length of Anchor
No P L
kg cm
1 1778.333333 49.96
2 218.25 6.13
3 218.25 6.13
4 218.25 6.13
5 218.25 6.13
6 218.25 6.13
7 218.25 6.13
8 218.25 6.13
Total
Calculation of Bolt Pu Pu
1 2
51.5
5
1. Middle stair = (45% of total load) 15
15
2. Spesification 5
Bolt = 16 mm X
3 Y 4
Nominal Diameter = 15.90 mm
Effective Diameter = 13.00 mm 5 7.5 7.5 5
Yield strength = 2100 kg/cm2
Stress for concrete = 7.13 kg/cm2

3. Allowable Stresses
Shear = 0.40 Fy = 840.00 kg/cm2
Tension = 0.6 Fy = 1260.00 kg/cm2
Combined = 0.66 Fy = 1386.00 kg/cm2

4. Structure Load
Dead Load (DL) = 1800 x 45% = 810 kg
Live Load (LL) = 850 x 45% = 382.5 kg

Ultimate Load (Pu) = 1.4 x DL + 1.6 x LL


= 1746 kg

Moment (m) = Pu x a a= 51.5 cm


= 89919 kg.cm

δ = (2 x 1/4 x ∏ x d^2) /g
= 0.529 cm

Looking for netral line

δ.x.1/2x = 0.75b.(h-x).1/2(h-x)
x = 35.39 cm
h-x = 4.61 cm

Bending Stress
M = (1/2. σ1.δ.x.2/3x)+(1/2.σ3.b'(h-x))+(2/3(h-x)
σ1 = 566 kg/cm2
σ3 = 110.37 kg/cm2
σ2 = 326.10 kg/cm2

Extreme load on bolt on top


N = δ.g.σ2 2588.66 kg

N1 = 1/2N 1294.33 kg

Shear (G) = P/n 436.50 kg

Checking stress
σtp = G/d.t < 1.5σ
= 137.26 kg/cm2 < 3150 kg/cm2 OK

τ = G/(1/4.∏.d^2) <
= 219.95 kg/cm2 < 840.00 kg/cm2 OK

σta = N1/(1/4.∏.d^2) <


= 652.20 kg/cm2 < 1260.00 kg/cm2 OK

σi = √(σta^2 + 3.τ^2) < σ


= 688.29 < 1386.00 kg/cm2 OK

Length of Anchor
No P L
kg cm
1 3000 84.28
2 436.5 12.26
3 436.5 12.26
4 436.5 12.26
Total
Calculation of Bolt

Pu
1. Down stair = (10% of total load) 1 2
8
X
2. Spesification 8
Bolt = 13 mm
Y
Nominal Diameter = 12.70 mm
Effective Diameter = 10.30 mm 44.5 44.5
Yield strength = 2100 kg/cm2
Stress for concrete = 7.13 kg/cm2

3. Allowable Stresses
Shear = 0.40 Fy = 840.00 kg/cm2
Tension = 0.6 Fy = 1260.00 kg/cm2
Combined = 0.66 Fy = 1386.00 kg/cm2

4. Structure Load
Dead Load (DL) = 1800 x 10% = 180 kg
Live Load (LL) = 850 x 10% = 85 kg

Ultimate Load (Pu) = 1.4 x DL + 1.6 x LL


= 388 kg

Moment (m) = Pu x a a= 40 cm
= 15,520 kg.cm

No y y2 M Tension Shear Combined


cm cm2 kgcm kg kg kg
1 8.00 64.00 15,520.00 485.00 194.00 310.55
2 8.00 64.00 15,520.00 485.00 194.00 310.55
Total 128

TENSION
No Allowable Tension
kg kg
1 1,049.34 > 485.00 OK
2 1,049.34 > 485.00 OK

SHEAR
No Allowable Shear
kg kg
1.00 699.56 > 194.00 OK
2.00 699.56 > 194.00 OK

COMBINED
No Allowable Combined
kg kg
1.00 1,154.27 > 310.55 OK
2.00 1,154.27 > 310.55 OK

Length of Anchor
No P L
kg cm
1 343.75 14.91
2 194 8.41
Total

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