# Questions & Answers of Bending moment and shear force in statically determinate beams

## Weightage of Bending moment and shear force in statically determinate beams

Total 15 Questions have been asked from Bending moment and shear force in statically determinate beams topic of Solid Mechanics subject in previous GATE papers. Average marks 1.60.

A vertical load of 10 kN acts on a hinge located at a distance of $L/4$ from the roller support Q of a beam of length $L$ (see figure).

The vertical reaction at support Q is

A simply supported beam is subjected to a uniformly distributed load. Which one of the following statements is True?

The value of M in the beam ABC shown in the figure is such that the joint B does not rotate.

The value of support reaction (in kN) at B should be equal to __________________

Two prismatic having the same flexural rigidity of 1000 kN-m2 are shown in the figures.

If the mid-span deflections of these beams are denoted by $\style{font-family:'Times New Roman'}{\delta_1\;\mathrm{and}\;\delta_2}$ (as indicated in the figures), the correct option is

Consider the three prismatic beams with the clamped supports P, Q and R as shown in the figures.

Given that the modulus of elasticity, E is 2.5 × 10MPa; and the moment of interta I is 8 × 108 mm4, the correct comparison of the magnitude of the shear force S and the bending moment M developed at the support is

A rigid member ACB is shown in the figure. The member is supported at A and B by pinned and guided roller supports, respectively. A force P acts at C as shown. Let RAh and RBh be the horizontal reactions at supports A and B, respectively, and RAv be the vertical reaction at support A. Selfweight of the member may be ignored.

Which one of the following sets gives the correct magnitudes of RAv, RBh and RAh ?

For the beam shown below, the value of the support moment M is _____ kN-m.

A horizontal beam ABC is loaded as shown in the figure below. The distance of the point of contraflexure from end A (in m) is ____

A fixed end beam is subjected to a load, W at 1/ 3rd span from the left support as shown in the figure. The collapse load of the beam is

The following statements are related to bending of beams:

I   The slope of the bending moment diagram is equal to the shear force.
II  The slope of the shear force diagram is equal to the load intensity.
III The slope of the curvature is equal to the flexural rotation.
IV The second derivative of the deflection is equal to the curvature.

The only FALSE statement is

A symmetric frame PQR consists of two inclined members PQ and QR, connected at ‘Q’ with a rigid joint, and hinged at ‘P’ and ‘R’. The horizontal length PR is l. If a weight W is suspended at ‘Q’, the bending moment at ‘Q’ is

For the cantilever bracket, PQRS, loaded as shown in the adjoining figure(PQ=RS=L, and, QR=2L),which of the following statements is FALSE?

Two people weighing W each are sitting on a plank of length L floating on water at $L}{4}$ from either end. Neglecting the weight of the plank, the bending moment at the centre of the plank is