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UPSC Civil Service Exam Questions - Engineering

Q1:

The absolute maximum Bending Moment in a simply supported beam of span 20 m due to moving udl of 4 t/m spanning over 5 m is

A 87.5 t-m at the support

B 87.5 t-m near the midpoint

C 3.5 t-m at the midpoint

D 87.5 t-m at the midpoint

ANS:D - 87.5 t-m at the midpoint

Ra+Rb = 4 * 5=20.
Ra=Rb = 10.

Max Bending Moment = Ra * 10 - 4 * 2.5 * 2.5/2
= 10 * 10-4 * 2.5 * 1.25
= 100-12.5.
= 87.5 at mid span.