Consider two beams that are loaded in the same way, but have different support conditions. Which beam has the largest maximum moment?

First, find the reactions of the supports, then draw the axial force $($N$),$ shear $($V$)$ and moment $($M$)$ diagrams for the two beams. Identify all critical values N$,$ V and M$,$ and also the distance to the points where N$,$ V and$/$or M are zero. and add, slopes and deflection