Question

The bending moment diagram for a beam is given below:

The shear force at sections $a{a}^{\prime }$ and $b{b}^{\prime }$ respectively are of the magnitude

• A. 100 kN, 150 kN
• B. Zero, 100 kN
• C. Zero, 50 kN
• D. 100 kN, 100 kN

Answer 1

The correct option is C Zero, 50 kN

$\frac{dM}{dX}=V$

Slope of bending moment diagram = shear force slope at $a{a}^{\prime }=0$

$Slopeatb{b}^{\prime }=\frac{200-100}{2}$

$\Rightarrow Shearforceatb{b}^{\prime }=50kN$