The GATE Grind

GATE 2022 AE – Question 21

Structures · Strength of materials: stress and strain, stress-strain curves, trusses, bars, beams and shafts, determinate and indeterminate · 1 mark · Multiple choice

A three-member truss is simply supported at Q and R, and loaded at P by a horizontal force F as shown. The force in QR is

source diagram and its labels are reproduced in the attached image.
  1. 0
  2. F (tensile)
  3. $F/\sqrt2$ (compressive)
  4. $\sqrt2F$ (tensile)

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Show answer and explanation

Correct answer: (B) F (tensile)

Explanation

Equilibrium at P gives compression in PR with horizontal component F. At R, QR must supply the opposing horizontal force F in tension.