GATE ME 2016 Set 3 — Question 45
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Strength of Materials → Beams & Columns → Deflection of Beams
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Question
A beam of length is carrying a uniformly distributed load per unit length. The flexural rigidity of the beam is . The reaction at the simple support at the right end is
Correct answer
(B) (3wL)/(8)
Solution
This is a propped cantilever beam. We can use the method of superposition to find the reaction at the simple support.
.
1.Deflection at the free end due to UDL on a cantilever: (downwards).
2.Deflection at the free end due to a point reaction at the support: (upwards).
For the net deflection at the simple support to be zero: .
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