Question

A simply supported beam of span $6m$ is subjected to several loadings as shown in figure given below.



The slope of bending moment diagram just right to point ${}^{\prime }{D}^{\prime }$ is ______ (In kN, measured in clockwise direction).

• A. 10

Answer 1

The correct option is A 10


Considering equilibrium

$V_A+V_B=3\times 6+12+6=36kN$ ... (i)



$12\times 1.5+6\times 4+3\times 6\times \frac{6}{2}-6\times V_B=0$

$\Rightarrow V_B=16kN$

Taking $\uparrow |\downarrow$ shear as $‘‘+ve"$

And slope of BMD $=$ Ordinate of SFD at the section.

$\Rightarrow$ Slope of BMD just right to 'D' $=16+3\times 2=-10kN$ i.e., the slope of BMD is $10kN$ measured in clockwise direction with horizontal.