List of top Applied Mechanics and Design Questions on Shear force and bending moment diagrams asked in GATE ME

A cantilever beam of length \( L \) is fixed at one end and carries a concentrated downward load \( P \) at its midpoint together with an applied moment \( M = PL/2 \) at the free end, as shown in the figure.
Neglecting the self weight of the beam, which one of the following options correctly shows the shear force diagram (SFD) and the bending moment diagram (BMD) for this beam?
A horizontal beam of length 1200mm is pinned at the left end and is resting on a roller at the other end as shown in the figure. A linearly varying distributed load is applied on the beam. The magnitude of maximum bending moment acting on the beam is _____N.m. (round off to 1 decimal place)
A horizontal beam of length 1200mm is pinned at the left end and is resting on a roller at the other end