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.

Residential Construction Academy: House Wiring (MindTap Course List)
5th Edition
ISBN:9781337402415
Author:Gregory W Fletcher
Publisher:Gregory W Fletcher
Chapter11: Cable Installation
Section: Chapter Questions
Problem 13RQ
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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
Transcribed Image Text: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
Transcribed Image Text: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

Deck width/ Bearer span = 5 ftYield stress (fy) = 36000  psiModulus of Elasticity (E) = 29×106  psiVertical spacing = 10 ftPlank length = 7 ftBearer length = 5 ftfu (Plank) = 3800 psifw = fuFOS = 38004 = 950 psi

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