UPSC Civil Service Exam Questions - Engineering

Q1:

A plane pin-jointed truss is shown in the figure. The force resisted by the member AD is

A zero

B
5002 kg. (compression)

C
5002 kg. (tension)

D
10002 kg. (tension)

ANS:C -

5002 kg. (tension)

CF FE CD AC DE EB is zero force members

So,

Ra + Rb = 0
Taking moment about A.
Rb = 500
Ra = -500.
joint A
FADCOS45 - 500 = 0.
FAD = 500√2(tension).