Question

A simply supported beam of span L is subjected to a moment Mo at a distance of 4 from the left end. Magnitude of the maximum bending moment in the beam is

• A. Mo
• B. Mo/2
• C. Mo/4
• D. 3mo/4

Answer 1

Answer:

D. 3mo/4

Using Equilibrium equation, $\Sigma F_y =0 \Rightarrow R_{1} + R_{2} = 0$ Taking moments about point A, we get $R_{2}\times L - M_{o} = 0$, Therefore, we get get $R_{2} =\frac {M_{o}}{L}$ and $R_{1} =\frac {- M_{o}}{L}$ respectively. Now, we can make the SFD and BMD from the above information: