Civil Engineering - UPSC Civil Service Exam Questions - Discussion

45. 

A mild steel bar of square cross-section 40 mm x 40 mm is 400 mm long. It is subjected to a longitudinal tensile stress of 440 N/mm2 and lateral compressive stress is 200 N/mm2 in perpendicular directions. E = 2 x 10-5 N/mm2, μ = 0.3. What is the approximate elongation of tht bar in the longitudinal direction ?

[A]. 0.44 mm
[B]. 088 mm
[C]. 0.22 mm
[D]. 1 mm

Answer: Option D

Explanation:

No answer description available for this question.

Vai said: (Oct 30, 2017)  
longitudinal tensile stress, fx = 440 MPa. Lateral Stress, fy = fz = -200 MPa (negative because compressive).

Longitudinal strain, ex = (fx/E)-(m*fy/E)-(m*fz/E) = (440/2*10^5)+(2*0.3*200/2*10^5) =0.0028.

Elongation= 0.0028*400 = 1.12 mm.

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