GATE ME 2014 Set 2 — Question 41
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Strength of Materials → Beams & Columns → Deflection of Beams
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Question
A cantilever beam of length, , with uniform cross-section and flexural rigidity, , is loaded uniformly by a vertical load, per unit length. The maximum vertical deflection of the beam is given by
Correct answer
(A) (wL⁴)/(8EI)
Solution
For a cantilever beam of length and flexural rigidity subjected to a uniformly distributed load per unit length, the maximum vertical deflection occurs at the free end and is given by the standard formula:
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