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Simply supported beam: Maximum 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 that the maximum bending moment occurs at the mid point of the beam, and determine its value in terms of w and L.

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Solution Summary

The solution briefly explains what needs to be done to find the point of maximum bending moment on the beam.

Solution Preview

Given the bending moment expression,

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

To find out the point on beam where the maximum bending moment occurs, we need to ...

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