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UPSC Civil Service Exam Questions - Engineering

Q1:

A rigid cantilever frame ABC is fixed at C. It carries a load P at A, as shown in the given figure. Neglecting axial deformation, the vertical deflection of the point A is given by (EI constant throughout the frame).

A PIh2/2EI

B PI2h/3EI

C PI2(3h + I)/3EI

D PI2(2h + I)/2EI

ANS:C - PI2(3h + I)/3EI

For vertical deflection at A= (slope at B )*L+ (deflection at BA).

= Mh/EI x L + PL^3/3EI.
= (PL)hL/3EI + PL^3/3EI.
= PL^2{3h+L}/3EI (answer).

#And for horizontal deflection at A find deflection at B which is equal to deflection horizontal = (PL)h^2/2EI.