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GATE 2019 CE (CE1) – Question 15

Structural Analysis · Principle of superposition, virtual work and Castigliano theorem · 1 mark · Multiple choice

The plane truss is shown, not to scale. Which option contains ONLY zero-force members?

Diagram for GATE 2019 CE (CE1) question 15
  1. FG, FI, HI, RS
  2. FG, FH, HI, RS
  3. FI, HI, PR, RS
  4. FI, FG, RS, PR

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Show answer and explanation

Correct answer: (D) FI, FG, RS, PR

Explanation

At unloaded G,the two sloping chord members are collinear,so FG=0. At F,the horizontal chord members are collinear and FG is zero,forcing FI=0. Similarly,unloaded S gives RS=0,and then joint R forces PR=0. Thus **FI,FG,RS,PR,D**.