Wood planks are used on each working level. The deck width/bearer span is 5 ft..The bearers and posts are standard pipe and the pipe material is A36 steel with a yield stress of 36,000 psi and modulus of elasticity of 29,000,000 psi.Bearers are to be located at a vertical spacing of 10 ft (largest, lowest post height). Posts are to be 7 ft oc (plank length) parallel to the building wall and 5 ft apart (bearer length) perpendicular to the building wall.There are four working levels and the anticipated scaffold loading will be med duty.A. Assuming the ultimate bending strength of the planks is 3,800 psi (apply a 4:1 F.O.S.), determine the required minimum plank thickness to the nearest 100th. B. Based on the bearer material provided, what is the minimum pipe size that can be safely used? See Appendix 2 in your textbook for steel pipe properties. C. Based on the post material provided, can a 2” standard pipe be used safely? Be sure it satisfies buckling stress conditions only. STEEL PIPEPIPE Dimensions and PropertiesDimensionsPropertiesWall WeightDiameter Diameter Diameter Thickness Ib per ft in.?Nominal OutsideInsideASSchedulein.in.in.No.in.in.in.in.Standard Weight0.850.2500.017 0.041 0.2610.037 0.071 0.3341/20.8400.6220.109403/41.0500.8240.1131.130.333401.3151.0490.1331.680.4940.087 0.133 0.421401-1/41.6601.3800.1402.270.6690.195 0.235 0.540401-1/21.9001.6100.1452.720.7990.310 0.326 0.6234022.3752.0670.1543.651.0750.666 0.561 0.787402-1/21.530 1.064 0.9473.017 1.724 1.1642.8752.4690.2035.791.7044033.5003.0680.2167.582.228404.788 2.394 1.3377.233 3.214 1.5103-1/24.0003.5480.2269.112.6804044.5004.0260.23710.793.174405.5635.0470.25814.624.300 15.165.451 1.878405.581 28.148.496 2.2458.399 72.49 16.81 2.9386.6.6256.0650.28018.974088.6257.9810.32228.55401010.7510.020.36540.48 11.91 160.7|29.90 3.674401212.7512.000.37549.56 14.58 279.343.82 4.377 PIPE Dimensions and PropertiesDimensionsPropertiesNominal OutsideInsideWallWeightAScheduleDiameter Diameter Diameter Thickness Ib per ft in.?in+in.in.No.in.in.in.in.Extra Strong1/20.8400.5460.1471.090 0.3200.020 0.048 0.250803/40.7420.1541.470 0.4330.045 0.085 0.3210.106 0.161 0.4071.050801.3150.9570.1792.170 0.639801-1/41.6601.2780.1913.000 0.8810.242 0.291 0.524803.630 1.0680.391 0.412|0.6050.868 0.731 0.7661-1/21.9001.5000.2008022.3751.9390.2185.020 1.477802-1/22.8752.3230.2767.660 2.2541.924 1.339 0.924803.894 2.225 1.1366.280 3.140 1.30733.5002.9000.30010.253.016803-1/24.0003.3640.31812.503.6788044.5003.8260.33714.984.4079.610 4.271 1.4778055.5634.8130.37520.786.112 20.677.431 1.8398066.6255.7610.43228.578.405 40.49 12.22 2.1958088.6257.6250.50043.39 |12.76 105.724.51 2.878801010.759.7500.50054.74 16.10 212.039.43 3.628601212.7511.750.50065.42 19.24 361.556.71 4.335Double-Extra Strong22.3751.5030.4369.032.661.311.10 0.7032-1/22.8751.7710.55213.694.032.872.00 0.84433.5002.3000.60018.585.475.993.42 |1.04744.5003.1520.67427.548.1015.36.79 1.37455.5634.0630.75038.55 11.3433.612.09 1.72266.6254.8970.86453.16 15.6466.320.02 2.06088.6256.8750.87572.42 21.30 16237.56 2.757

Answered: Wood planks are used on each working…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Wood planks are used on each working level. The deck width/bearer span is 5 ft..

The bearers and posts are standard pipe and the pipe material is A36 steel with a yield stress of 36,000 psi and modulus of elasticity of 29,000,000 psi.

Bearers are to be located at a vertical spacing of 10 ft (largest, lowest post height). Posts are to be 7 ft oc (plank length) parallel to the building wall and 5 ft apart (bearer length) perpendicular to the building wall.

There are four working levels and the anticipated scaffold loading will be med duty.

A. Assuming the ultimate bending strength of the planks is 3,800 psi (apply a 4:1 F.O.S.), determine the required minimum plank thickness to the nearest 100th.

B. Based on the bearer material provided, what is the minimum pipe size that can be safely used? See Appendix 2 in your textbook for steel pipe properties.

C. Based on the post material provided, can a 2” standard pipe be used safely? Be sure it satisfies buckling stress conditions only.

STEEL PIPE
PIPE Dimensions and Properties
Dimensions
Properties
Wall Weight
Diameter Diameter Diameter Thickness Ib per ft in.?
Nominal Outside
Inside
A
S
Schedule
in.
in.
in.
No.
in.
in.
in.
in.
Standard Weight
0.85
0.250
0.017 0.041 0.261
0.037 0.071 0.334
1/2
0.840
0.622
0.109
40
3/4
1.050
0.824
0.113
1.13
0.333
40
1.315
1.049
0.133
1.68
0.494
0.087 0.133 0.421
40
1-1/4
1.660
1.380
0.140
2.27
0.669
0.195 0.235 0.540
40
1-1/2
1.900
1.610
0.145
2.72
0.799
0.310 0.326 0.623
40
2
2.375
2.067
0.154
3.65
1.075
0.666 0.561 0.787
40
2-1/2
1.530 1.064 0.947
3.017 1.724 1.164
2.875
2.469
0.203
5.79
1.704
40
3
3.500
3.068
0.216
7.58
2.228
40
4.788 2.394 1.337
7.233 3.214 1.510
3-1/2
4.000
3.548
0.226
9.11
2.680
40
4
4.500
4.026
0.237
10.79
3.174
40
5.563
5.047
0.258
14.62
4.300 15.16
5.451 1.878
40
5.581 28.14
8.496 2.245
8.399 72.49 16.81 2.938
6.
6.625
6.065
0.280
18.97
40
8
8.625
7.981
0.322
28.55
40
10
10.75
10.02
0.365
40.48 11.91 160.7
|29.90 3.674
40
12
12.75
12.00
0.375
49.56 14.58 279.3
43.82 4.377

PIPE Dimensions and Properties
Dimensions
Properties
Nominal Outside
Inside
Wall
Weight
A
Schedule
Diameter Diameter Diameter Thickness Ib per ft in.?
in+
in.
in.
No.
in.
in.
in.
in.
Extra Strong
1/2
0.840
0.546
0.147
1.090 0.320
0.020 0.048 0.250
80
3/4
0.742
0.154
1.470 0.433
0.045 0.085 0.321
0.106 0.161 0.407
1.050
80
1.315
0.957
0.179
2.170 0.639
80
1-1/4
1.660
1.278
0.191
3.000 0.881
0.242 0.291 0.524
80
3.630 1.068
0.391 0.412|0.605
0.868 0.731 0.766
1-1/2
1.900
1.500
0.200
80
2
2.375
1.939
0.218
5.020 1.477
80
2-1/2
2.875
2.323
0.276
7.660 2.254
1.924 1.339 0.924
80
3.894 2.225 1.136
6.280 3.140 1.307
3
3.500
2.900
0.300
10.25
3.016
80
3-1/2
4.000
3.364
0.318
12.50
3.678
80
4
4.500
3.826
0.337
14.98
4.407
9.610 4.271 1.477
80
5
5.563
4.813
0.375
20.78
6.112 20.67
7.431 1.839
80
6
6.625
5.761
0.432
28.57
8.405 40.49 12.22 2.195
80
8
8.625
7.625
0.500
43.39 |12.76 105.7
24.51 2.878
80
10
10.75
9.750
0.500
54.74 16.10 212.0
39.43 3.628
60
12
12.75
11.75
0.500
65.42 19.24 361.5
56.71 4.335
Double-Extra Strong
2
2.375
1.503
0.436
9.03
2.66
1.31
1.10 0.703
2-1/2
2.875
1.771
0.552
13.69
4.03
2.87
2.00 0.844
3
3.500
2.300
0.600
18.58
5.47
5.99
3.42 |1.047
4
4.500
3.152
0.674
27.54
8.10
15.3
6.79 1.374
5
5.563
4.063
0.750
38.55 11.34
33.6
12.09 1.722
6
6.625
4.897
0.864
53.16 15.64
66.3
20.02 2.060
8
8.625
6.875
0.875
72.42 21.30 162
37.56 2.757

Expert Solution

Step 1: Data

$\begin{array}{rcl} D e c k w i d t h / B e a r e r s p a n & = & 5 f t \\ Y i e l d s t r e s s (f_{y}) & = & 36000 p s i \\ M o d u l u s o f E l a s t i c i t y (E) & = & 29 \times 10^{6} p s i \\ V e r t i c a l s p a c i n g & = & 10 f t \\ P l a n k l e n g t h & = & 7 f t \\ B e a r e r l e n g t h & = & 5 f t \\ f_{u (P l a n k)} & = & 3800 p s i \\ f_{w} & = & \frac{f_{u}}{F O S} = \frac{3800}{4} = 950 p s i \end{array}$

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