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GATE 2020 CE (CE1) – Question 38

Structural Analysis · Influence lines and moving loads · 2 marks · Multiple choice

A distributed load 50 kN/m may occupy any continuous or separate patches on girder PQRST shown. Find maximum negative (hogging) bending moment at R (kN·m).

Diagram for GATE 2020 CE (CE1) question 38
  1. 22.50
  2. 56.25
  3. 93.75
  4. 150.00

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Show answer and explanation

Correct answer: (B) 56.25

Explanation

The moment influence line is negative on both 1.5 m overhangs. Free-end ordinates are $-1.5(2/5)=-0.6$ and $-1.5(3/5)=-0.9$ m. Load only these regions. Hogging magnitude is $50[1.5(0.6)/2+1.5(0.9)/2]=56.25$ kN·m. **B**.