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A beam of length L is carrying a uniformly distributed load w per unit length. The flexural rigidity of the beam is EI. The reaction at the simple support at the right end is

1. wL/2
2. 3wL/8
3. wL/4
4. wL/8

Correct answer: 3wL/8

Solution

A beam fixed at one end and simply (propped) supported at the other carrying a UDL w is a propped cantilever. Compatibility (zero deflection at the prop) gives the reaction at the simple support as 3wL/8, not wL/2.

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