Q2 (a) A steel cable with nominal diameter 25 mm as shown in Table Q2(a) is used in a construction yard to lift a bridge section weighing 38 kN, as shown in Figure Q2(a). The cable has an effective modulus of elasticity E =140 GPa . (i) If the cable is 14 m long, how much will it stretch when the load is picked up? (ii) If the cable is rated for a maximum load of 70 kN, what is the factor of safety with respect to failure of the cable?

Mechanics of Materials (MindTap Course List)
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ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
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Chapter2: Axially Loaded Members
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Q2 (a) A steel cable with nominal diameter 25 mm as shown in Table Q2(a) is used in a
construction yard to lift a bridge section weighing 38 kN, as shown in Figure Q2(a).
The cable has an effective modulus of elasticity E = 140 GPa.
(i) If the cable is 14 m long, how much will it stretch when the load is picked up?
(ii) If the cable is rated for a maximum load of 70 kN, what is the factor of safety with
respect to failure of the cable?
Transcribed Image Text:Q2 (a) A steel cable with nominal diameter 25 mm as shown in Table Q2(a) is used in a construction yard to lift a bridge section weighing 38 kN, as shown in Figure Q2(a). The cable has an effective modulus of elasticity E = 140 GPa. (i) If the cable is 14 m long, how much will it stretch when the load is picked up? (ii) If the cable is rated for a maximum load of 70 kN, what is the factor of safety with respect to failure of the cable?
Table Q2(a): Properties of steel cables
Ultimate load
Nominal diameter Approximate weight Effective area
(Failure load)
mm
N/m
mm2
kN
12
6.1
76.7
102
20
13.9
173
231
25
24.4
304
406
32
38,5
481
641
38
55.9
697
930
1260
1650
44
76.4
948
50
99.8
1230
Transcribed Image Text:Table Q2(a): Properties of steel cables Ultimate load Nominal diameter Approximate weight Effective area (Failure load) mm N/m mm2 kN 12 6.1 76.7 102 20 13.9 173 231 25 24.4 304 406 32 38,5 481 641 38 55.9 697 930 1260 1650 44 76.4 948 50 99.8 1230
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