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Bending Moment

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The bending moment M at position x m from the end of a simply supported beam of length L m carrying a uniformly distributed load of w Kn m-1 is given by:

M = w/2 L (L-x)- w/2 (L - x)^2

Show using the above expression that the maximum bending moment occurs at the mid point of the beam and determine its value in terms of w and L hide problem.

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Solution Summary

Provides steps necessary to determine the maximum bending moment.

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M = (w/2) L(L - x) - (w/2) (L - x)^2

Differentiating with respect to x, we get

dM/dx = (w/2) L(-1) - (w/2) ...

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