# Bending Moment

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.

© BrainMass Inc. brainmass.com October 10, 2019, 12:29 am ad1c9bdddfhttps://brainmass.com/engineering/manufacturing-engineering/maximum-bending-moment-example-problem-294140

#### Solution Preview

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) ...

#### Solution Summary

Provides steps necessary to determine the maximum bending moment.

$2.19