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UPSC Civil Service Exam Questions - Engineering

Q1:

A simply supported beam of span 'l' is loaded (as shown in the given figure) with a uniformly varying load of intensity w1/unit length at 'A' to w2/unit length at 'B'. A The shear force at the support 'B' is given by

A

B

C

D

ANS:C -

Find the reaction Rb.

The area of the rectangular loading diagram W1xL and its centroid distance from A is L/2.
The area of the triangle loading diagram (W2-W1)L/2 and its centroid distance from A is 2L/3.
taking moment about A,
RbxL=(W2-W1)L/2*2L/3 + W1L*L/2,
Rb = W1*L/6 + W2*L/3.