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GATE 2018 CE (CE2) – Question 17

Structural Analysis · Deflections of determinate beams, frames and trusses · 1 mark · Multiple choice

A 10 kN vertical load acts on an internal hinge L/4 from roller support Q of a beam of length L, as shown. The vertical reaction at Q is ______.

Diagram for GATE 2018 CE (CE2) question 17
  1. 0.0 kN
  2. 2.5 kN
  3. 7.5 kN
  4. 10.0 kN

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Show answer and explanation

Correct answer: (A) 0.0 kN

Explanation

Isolate the unloaded segment between the hinge and roller Q. Taking moments about the hinge gives $R_Q(L/4)=0$, hence $R_Q=0$ kN (A). The load at the hinge is carried through the fixed-end segment.