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UPSC Civil Service Exam Questions - Engineering

Q1:

Two long columns C1 and C2 are made of the same materials. Column C1 has both the ends hinged while column C2 has one end hinged and other end fixed. What is the ratio of the critical load for C1 to that of C2 according to the Euler's formula ?

A 2

B

C 4

D 1/4

ANS:B -

Option A is correct b/c critical load inversely proportional to the square of length.
For both end hinge Le=l.
For one end hinge and other fixed the Le=l/√2.