A beam of length L is pinned at both ends and is subjected to a concentrated bending couple of moment M at its centre. The maximum bending moment in the beam is
[A]. M
[B]. M/2
[C]. M/3
[D]. ML/2
give correct answer with explanation
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The maximum moment is M/2.
It varies from 0 at the ends to M/2 at the mid span, then changes sign to -M/2 and reduces to zero at the right support.
The end reactions are M/L where L is the span.
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