A simply supported beam PR of length 1 m has a downward force 200 N and counterclockwise couple 100 N m at its midpoint Q. Which bending-moment diagram is correct?
Taking counterclockwise moments about P gives $R_R(1)-200(0.5)+100=0$, hence R_R=0 and R_P=200 N. The bending moment rises linearly from zero at P to 100 N m immediately left of Q. The concentrated counterclockwise couple gives a downward jump of 100 N m; the moment is zero throughout QR. This is diagram A.
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