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Question

A cantilever beam of length L is subjected to a moment M at the free end. The moment of inertia of the beam cross section about the neutral axis is I and the young's modulus is E. The magnitude of the maximum deflection is

A
ML22EI
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B
ML2EI
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C
2ML2EI
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D
4ML2EI
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Solution

The correct option is A ML22EI
Deflection
=1EI (Moment of area of BMD)
=1EI×M×L×L2=ML22EI

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