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

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

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

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

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 L4 from either end. Neglecting the weight of the plank, the bending moment at the centre of the plank is

For the simply supported beam of length L, subjected to a uniformly distributed moment M kN-m per unit length as shown in the figure, the bending moment (in kN-m) at the mid-span of the beam is

Group I gives the shear force diagrams and Group II gives the diagrams of beams with supports and loading. Match the Group I with Group II