Which among the following is CORRECT about the Bending Moment and Shear Forces at centre, respectively?

Question

Question

This question was previously asked in

JKSSB JE CE 2021 Official Paper Shift 3 (Held on 28 Oct 2021)

Answer 1

Concept-

Shear force:

It is defined as the algebraic sum of all the vertical forces, either to the left or to the right-hand side of the section.

Bending moment:

It is defined as the algebraic sum of the moments of all the forces either to the left or to the right of a section.

Calculation:

As there is no vertical and horizontal load acting on the beam, the Vertical and horizontal reaction at fixed support is zero.

The FBD of the beam is as shown in the figure.

V_A= 0 = H_A

The SFD and BMD of the beam are shown in the figure.

So the bending moment at the center is M kN-m and the shear force at the center is zero.