(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?

(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?

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

PLEASE ANSWER QUICKLY

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
mm?
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
44
76.4
948
1260
50
99.8
1230
1650
di
d2
C
D
A
B
P
P
Figure Q2(b)

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