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UPSC Civil Service Exam Questions - Engineering

Q1:

A mild steel bar is 40 cm long. The lengths of parts AB and BC of the bar are 20 cm each. It is loaded as shown in the given figure. The ratio of the stresses, σ1 in part AB to σ2 in part BC is

A 2

B 1/2

C 4

D 1/4

ANS:B - 1/2

Given answer is right.

If we take a section in AB member, we can observe that 1000+1000 = 2000 kg load is acting downward. Stress = Load/Area =
2000/σ*1^2 = 2000 kg/cm^2.
Similarly, load acting on member AB = 1000 kg.
And stress = 4000 kg/cm^2.