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GATE 2021 PI – Question 23

General Engineering · Applied Mechanics · 1 mark · Multiple choice

A 0.3 m cantilever carries UDL C = 10 kN/m over its full length, as shown. Flexural rigidity is 5000 N·m². Neglect self-weight. Find curvature magnitude at the fixed end in m⁻¹.

Diagram for GATE 2021 PI question 23
  1. 1.10
  2. 0.02
  3. 0.09
  4. 0.05

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Show answer and explanation

Correct answer: (C) 0.09

Explanation

Fixed-end bending moment magnitude is $M=wL^2/2=10000(0.3)^2/2=450$ N·m. Beam curvature is M/EI = 450/5000 = **0.09 m⁻¹, C**.

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