A steel cable with a nominal diameter of 32 mm (see the table below) is used in a construction yard to lift a bridge section weighing 42 kN, as shown in the following figure.Properties of Steel CablesNominal Diameter Approximate Weight Effective AreaUltimate Loadin.Ib/ftN/min?mm2IbkNmm0.50120.426.10.11976.723,1001020.75200.9513.90.26817351,9002311.00251.6724.40.47130491,3004061.25322.6438.50.745481144,0006411.50383.8355.91.08697209,0009301.75445.2476.41.47948285,00012602.00506.8499.81.921230372,0001650The table is to be used solely for solving this problem.The cable has an effective modulus of elasticity E = 140 GPa.(a) If the cable is 19 m long, how much will it stretch (in mm) when the load is picked up? (Use the deformation sign convention.)mm(b) If the cable is rated for a maximum load of 65 kN, what is the factor of safety with respect to failure of the cable?

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Description: A steel cable with a nominal diameter of 32 mm (see the table below) is used in a construction yard to lift a bridge section weighing 42 kN, as shown in the following figure.Properties of Steel CablesNominal Diameter Approximate Weight Effective Are

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A steel cable with a nominal diameter of 32 mm (see the table below) is used in a construction yard to lift a bridge section weighing 42 kN, as shown in the following figure. Properties of Steel Cables Nominal Diameter Approximate Weight Effective Area Ultimate Load in. Ib/ft N/m in? mm2 Ib kN mm 0.50 12 0.42 6.1 0.119 76.7 23,100 102 0.75 20 0.95 13.9 0.268 173 51,900 231 1.00 25 1.67 24.4 0.471 304 91,300 406 1.25 32 2.64 38.5 0.745 481 144,000 641 1.50 38 3.83 55.9 1.08 697 209,000 930 285,000 1260 1.75 44 5.24 76.4 1.47 948 2.00 50 6.84 99.8 1.92 1230 372,000 1650 The table is to be used solely for solving this problem. The cable has an effective modulus of elasticity E = 140 GPa. (a) If the cable is 19 m long, how much will it stretch (in mm) when the load is picked up? (Use the deformation sign convention.) ] mm (b) If the cable is rated for a maximum load of 65 kN, what is the factor of safety with respect to failure of the cable?

A steel cable with a nominal diameter of 32 mm (see the table below) is used in a construction yard to lift a bridge section weighing 42 kN, as shown in the following figure. Properties of Steel Cables Nominal Diameter Approximate Weight Effective Area Ultimate Load in. Ib/ft N/m in? mm2 Ib kN mm 0.50 12 0.42 6.1 0.119 76.7 23,100 102 0.75 20 0.95 13.9 0.268 173 51,900 231 1.00 25 1.67 24.4 0.471 304 91,300 406 1.25 32 2.64 38.5 0.745 481 144,000 641 1.50 38 3.83 55.9 1.08 697 209,000 930 285,000 1260 1.75 44 5.24 76.4 1.47 948 2.00 50 6.84 99.8 1.92 1230 372,000 1650 The table is to be used solely for solving this problem. The cable has an effective modulus of elasticity E = 140 GPa. (a) If the cable is 19 m long, how much will it stretch (in mm) when the load is picked up? (Use the deformation sign convention.) ] mm (b) If the cable is rated for a maximum load of 65 kN, what is the factor of safety with respect to failure of the cable?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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A steel cable with a nominal diameter of 32 mm (see the table below) is used in a construction yard to lift a bridge section weighing 42 kN, as shown in the following figure.
Properties of Steel Cables
Nominal Diameter Approximate Weight Effective Area
Ultimate Load
in.
Ib/ft
N/m
in?
mm2
Ib
kN
mm
0.50
12
0.42
6.1
0.119
76.7
23,100
102
0.75
20
0.95
13.9
0.268
173
51,900
231
1.00
25
1.67
24.4
0.471
304
91,300
406
1.25
32
2.64
38.5
0.745
481
144,000
641
1.50
38
3.83
55.9
1.08
697
209,000
930
1.75
44
5.24
76.4
1.47
948
285,000
1260
2.00
50
6.84
99.8
1.92
1230
372,000
1650
The table is to be used solely for solving this problem.
The cable has an effective modulus of elasticity E = 140 GPa.
(a) If the cable is 19 m long, how much will it stretch (in mm) when the load is picked up? (Use the deformation sign convention.)
mm
(b) If the cable is rated for a maximum load of 65 kN, what is the factor of safety with respect to failure of the cable?

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