Question

The bending moment for which the beam shown below is to be designed is

• A. 200 kN-m
• B. 800 kN-m
• C. 600 kN-m
• D. 640 kN-m

Answer 1

The correct option is C 600 kN-m

The maximum moment can be either at support or at mid span of beam portion between supports. Moment at support

$\frac{w{a}^2}{2}=\frac{100\times {\left(2\right)}^2}{2}=200kN-m$

$Momentinmidspan=\frac{w{l}^2}{8}-\frac{w{a}^2}{2}$

$=\frac{100\times 8^2}{8}-200=600kN-m$