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UPSC Civil Service Exam Questions - Engineering

Q1:

A beam of rectangular section 100 mm x 300 mm carries certain loads such that the Bending Moment at a section A is M ans at another section B it is (M + C).The distance between the sections A and B is 0.5 m and there are no external loads acting between the two sections. If the value of C is 10, 000 Nm, then the maximum shear stress is

A 1.5 MN/m2

B 1.0 MN/m2

C 0.5 MN/m2

D 0.25 MN/m2

ANS:B - 1.0 MN/m2

Shear force between A & B is;

Change in BM/Distance = 10000Nm/0.5 = 20000N.
Maximum shear stress =1.5V/bd =1.5 * 20000/0.1 * 0.3.
= 1.0MN/m2.