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 ad1c9bdddf
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) ...
Provides steps necessary to determine the maximum bending moment.