Multiple choice

A symmetric frame PQR consists of two inclined members PQ and QR, connected at 'Q' connected with a rigid joint and hinged at 'P' and 'R'. The horizontal length PR is l. If a weight W is suspended at 'Q' the bending moment of 'Q' is

  1. $\frac{WI}{2}$
  2. $\frac{WI}{4}$
  3. $\frac{WI}{8}$
  4. zero

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D Correct answer
Explanation

In a symmetric frame hinged at the ends and connected by a rigid joint at the apex, a point load at the apex results in axial forces in the members but no bending moment at the joint Q if it is a pin-jointed truss behavior.