Test: Stresses in Beams Level - 1 - Mechanical Engineering MCQ

A beam of uniform cross-section is subjected throughout its length to a uniform moment. Then the deflection shape of beam is

If E = elasticity modulus, I = moment of inertia about the neutral axis and M = bending moment in pure bending under the symmetric loading of a beam , the radius of curvature of the beam

1. increases with E

2. increases with M

3. Decreases with I

4. Decreases with M

Which of these are correct?

A mild steel beam is simply supported. It has a constant moment of inertia = 10⁶ mm⁴. The entire length of the beam is subjected to a constant BM of 10⁷ Nmm. E = 2 × 10⁵ N/mm². What is the radius curvature of the bent beam in meters?

A rectangular bar of width b and depth ‘d’ is being used as a cantilever. The loading in a plane parallel to the side b. the section modulus is

A beam is said to be uniform strength if

A rectangular section beam subjected to a bending moment M varying along its length is required to develop the same maximum bending stress at any cross-section. If the depth of the section is constant, then its width will vary as

Wire of diameter ‘d’ is wound round a cylinder. The diameter of the cylinder is ‘D’. The bending stress (maximum) induced in the wire is

For a rectangular section beam, if the beam depth is doubled, keeping the width, length and loading same, the bending stress is decreased by a factor

The ratio of width to depth of a strongest beam that can be cut out of a cylindrical log of wood is

In a beam of circular cross-section, the shear stress variation due to shear force across a cross-section is

In a beam of solid circular cross-section, what is the ratio of maximum shear stress to the average shear stress?

What is the nature of distribution of shear stress in a rectangular beam?

A simply supported beam of rectangular cross-section is under transverse loading. Regarding the shear stress distribution across any section, the ratio of maximum shear stress to mean shear stress is

In case of a beam of I-section subjected to transverse shear force ‘F’, the maximum shear stress occurs the

The distribution of shear stress of a beam is shown in the given figure.

The cross-section of the beam is

The shear stress distribution over a beam cross-section is shown in the figure below. The beam is of

A cantilever is loaded by a concentrated load P at the free end as shown. The shear stress in the element LMNOPQRS is under consideration. This of the following figure represents the shear stress directions cantilever?