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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 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 ...

Solution Summary

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