Civil Engineering - Theory of Structures - Discussion

Discussion Forum : Theory of Structures - Section 1 (Q.No. 16)
16.
A load of 1960 N is raised at the end of a steel wire. The minimum diameter of the wire so that stress in the wire does not exceed 100 N/mm2 is :
4.0 mm
4.5 mm
5.0 mm
5.5 mm
6.0 mm
Answer: Option
Explanation:
No answer description is available. Let's discuss.
Discussion:
13 comments Page 1 of 2.

Sanjeev said:   1 decade ago
Stress = load/area.

Jack said:   1 decade ago
Given:

Load = 1960N.
Area of Wire = ?

Allowable Stress = 100 N/mm2.
So Stress = P/A.

A= P/Stress.
A= 1960N/100N/mm2.
A= 19.6mm2.
Dia = Pid2/4.

19.6mm2 = 3.14d2/4.

(19.6*4/3.14)^.5 = d = 5.00mm.
(1)

Arghya said:   1 decade ago
The answer is 4.9 we have to take the approx value which is 5.00.

Vikram singh said:   9 years ago
Very good explanation @Jack.

KRISHNA said:   9 years ago
Nice explanation. Thanks.

Maitri said:   8 years ago
Thanks @Jack.

Harsha said:   8 years ago
Stress = force/area.
Area = force/stress,
Area = 1960/100=19.6.
πdd/4=19.6,
dd/4=19.6/3.14,
dd=6.24*4,
d= √24.96,
d=5mm.
(2)

Tirusew S. said:   8 years ago
Thank you all for the given explanation.

Seenu said:   8 years ago
2*PI*R = 2*π*d/2*d/2.

Monika said:   7 years ago
Thanks for the explanation.
(1)


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