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Question

Engineering Mathematics Question on Euler’s Theorem

A uniform cantilever beam of length L and flexural rigidity EI is loaded by a force F as shown in the figure. Assuming that the Euler-Bernoulli beam theory is applicable here, the magnitude of the static deflection at the free end of the beam isA uniform cantilever beam of length L and flexural rigidity EI is loaded by a force F

A

FL3(6EI)\frac {FL^3}{(6EI)}

B

14FL3(81EI)\frac {14FL^3}{(81EI)}

C

5FL3(27EI)\frac {5FL^3}{(27EI)}

D

27FL3(48EI)\frac {27FL^3}{(48EI)}

Answer

14FL3(81EI)\frac {14FL^3}{(81EI)}

Explanation

Solution

The correct option is (B): 14FL3(81EI)\frac {14FL^3}{(81EI)}.