A beam is supported at the two ends and is uniformly loaded. The bending moment `M` at a distance `x` from one end is given by `M=(W L)/2x-W/2x^2` `M=(W x)/3-W/3(x^3)/(L^2)` Find the point at which `M` is maximum in each case.

Explanation

`M=frac{W L}{2} x-frac{W}{2} x^{2}`



On differentiation , we get,



`frac{{dM}}{{dx}}=frac{{WL}}{2}-2 frac{{W}}{2} {x}`



equate, `frac{{dM}}{{dx}}=0`



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