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This mock test of Test: Stresses in Beams Level - 1 for Mechanical Engineering helps you for every Mechanical Engineering entrance exam.
This contains 20 Multiple Choice Questions for Mechanical Engineering Test: Stresses in Beams Level - 1 (mcq) to study with solutions a complete question bank.
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QUESTION: 1

The neutral axis of the cross-section a beam is that axis at which the bending stress is

Solution:

Bending equation,

σb ∝ y

y → Linear distance from neutral axis. Thus, bending stress is zero at neutral axis and maximum at outermost fibres.

QUESTION: 2

The intensity of bending stress in the cross section at any point distance y from the neutral axis is proportional to (l is moment of inertia)

Solution:
Bending equation,

f ∝ y

QUESTION: 3

The bending stress calculated by using the formula M = fz is absolutely accurate when the bending moment

1. Variation is linear

2. Variation is parabolic (2nd degree)

3. Is constant

4. None of the above

Solution:

QUESTION: 4

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

Solution:

QUESTION: 5

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?

Solution:
In pure bending

R increases with E R decrease with M Statement 1 and 4 are correct.

QUESTION: 6

A mild steel beam is simply supported. It has a constant moment of inertia = 10^{6} mm^{4}. The entire length of the beam is subjected to a constant BM of 10^{7} Nmm. E = 2 × 10^{5} N/mm^{2}. What is the radius curvature of the bent beam in meters?

Solution:

QUESTION: 7

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

Solution:

Section modulus, Z

QUESTION: 8

A beam is said to be uniform strength if

Solution:

QUESTION: 9

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

Solution:

Where, σ is the maximum bending stress at any cross-section throughout its length. If depth is also constant then b ∝ M

QUESTION: 10

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

Solution:

QUESTION: 11

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

Solution:
For rectangular section,

QUESTION: 12

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

Solution:
Let D be dia of cylinder, b & t be width and depth of the beam

D_{2} = b_{2} + t_{2} t_{2}

= (D_{2} − b_{2}) We have,

Stronger beam will have higher Z.

ow, t^{2 }= D^{2} − b^{2}

QUESTION: 13

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

Solution:
Shear stress distribution in a circular section

Where V is shear force at section A is area of cross section.

QUESTION: 14

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

Solution:
Beam of circular section

QUESTION: 15

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

Solution:

QUESTION: 16

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

Solution:
For rectangular cross-section

QUESTION: 17

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

Solution:
I-section beam τmax occurs at the centre of the web.

QUESTION: 18

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

The cross-section of the beam is

Solution:
For T-section

QUESTION: 19

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

Solution:

QUESTION: 20

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?

Solution:

The direction of shear stress will be as shown in option (A).

### Stresses in Beams

Video | 14:48 min

### Bending Stresses in Beams

Doc | 4 Pages

### Shear Stresses in Beams

Doc | 2 Pages

### Shear Stresses in Beams

Doc | 2 Pages

- Test: Stresses in Beams Level - 1
Test | 20 questions | 25 min

- Test: Stresses in Beams Level - 3
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- Test: Stresses in Beams Level - 2
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- Test: Bending Stresses in Beams
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- Test: Shear Stresses in Beams
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