Theory Of Structures MCQ Questions & Answers | Civil Engineering Page-9 section-1

81.
The ratio of the stresses produced by a suddenly applied load and by a gradually applied load on a bar, is

A. $$\frac{1}{4}$$

B. $$\frac{1}{2}$$

C. 1

D. 2

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82.
The ratio of circumferential stress to the longitudinal stress in the walls of a cylindrical shell, due to flowing liquid, is

A. $$\frac{1}{2}$$

B. 1

C. $$1\frac{1}{2}$$

D. 2

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83.
Stress may be defined as

A. Force per unit length

B. Force per unit volume

C. Force per unit area

D. None of these

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84.
A steel bar 5 m × 50 mm is loaded with 2,50,000 N. If the modulus of elasticity of the material is 0.2 MN/mm² and Poisson’s ratio is 0.25, the change in the volume of the bar is:

A. 1.125 cm³

B. 2.125 cm³

C. 3.125 cm³

D. 4.125 cm²

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85.
For the close coil helical spring of the maximum deflection is

A. $$\frac{{{\text{W}}{{\text{D}}^3}{\text{n}}}}{{{{\text{d}}^4}{\text{N}}}}$$

B. $$\frac{{2{\text{W}}{{\text{D}}^3}{\text{n}}}}{{{{\text{d}}^4}{\text{N}}}}$$

C. $$\frac{{4{{\text{W}}^2}{{\text{D}}^3}{\text{n}}}}{{{{\text{d}}^4}{\text{n}}}}$$

D. $$\frac{{8{\text{W}}{{\text{D}}^3}{\text{n}}}}{{{{\text{d}}^4}{\text{n}}}}$$

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86.
The vertical reaction for the arch is

A. $$\frac{{{\text{Wa}}}}{{2l}}$$

B. $$\frac{{{\text{W}}l}}{{\text{a}}}$$

C. $$\frac{{{\text{Wa}}}}{l}$$

D. $$\frac{{{\text{W}}{{\text{a}}^2}}}{{2l}}$$

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87.
Pick up the correct statement from the following:

A. For a uniformly distributed load, the shear force varies linearly

B. For a uniformly distributed load, B.M. curve is a parabola

C. For a load varying linearly, the shear force curve is a parabola

D. All the above

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88.
If Q is load factor, S is shape factor and F is factor of safety in elastic design, the following:

A. Q = S + F

B. Q = S - F

C. Q = F - S

D. Q = S × F

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89.
The locus of the end point of the resultant of the normal and tangential components of the stress on an inclined plane, is

A. Circle

B. Parabola

C. Ellipse

D. Straight line

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Answer & Solution

Answer: Option A

Solution:

The correct answer is A: Circle.
Let's break down why:
Understanding the Concepts:
* Stress on an Inclined Plane: When a material is subjected to stress, we can analyze the stress components acting on any inclined plane within that material.
* Normal Component: This is the stress acting perpendicular (or normal) to the inclined plane.
* Tangential Component: This is the stress acting parallel (or tangential) to the inclined plane. It's also known as shear stress.
* Resultant Stress: This is the combination of the normal and tangential stress components. Think of it as a single stress that represents the combined effect of both.
* Locus: In this context, locus refers to the path traced by the end point of the resultant stress vector as the inclination of the plane changes.
Why a Circle?
* Mohr's Circle: The relationship between normal and tangential stresses on an inclined plane is elegantly represented by Mohr's Circle.
* Mohr's Circle Visualization: Mohr's Circle is a graphical representation of the state of stress at a point. The coordinates of any point on the circle represent the normal and shear stresses on a particular plane through that point.
* Resultant as a Radius: The radius of Mohr's Circle represents the magnitude of the resultant stress.
* Tracing the End Point: As the angle of the inclined plane changes, the point representing the stress state moves around the circumference of Mohr's Circle. Therefore, the end point of the resultant stress (which is related to the radius and center of the circle) traces a circular path.
Why not the other options?
* Parabola, Ellipse, Straight Line: These shapes don't accurately depict the relationship between normal and tangential stresses on an inclined plane as defined by Mohr's Circle and the fundamental principles of stress transformation.
In summary: The locus (path) of the end point of the resultant stress on an inclined plane is a circle, which is directly related to the visual representation of stresses on Mohr's Circle.

90.
A simply supported beam carries varying load from zero at one end and w at the other end. If the length of the beam is a, the maximum bending moment will be

A. $$\frac{{{\text{wa}}}}{{27}}$$

B. $$\frac{{{\text{w}}{{\text{a}}^2}}}{{27}}$$

C. $$\frac{{{{\text{w}}^2}{\text{a}}}}{{\sqrt {27} }}$$

D. $$\frac{{{\text{w}}{{\text{a}}^2}}}{{9\sqrt 3 }}$$

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Theory Of Structures MCQ Questions & Answers | Civil Engineering

81. The ratio of the stresses produced by a suddenly applied load and by a gradually applied load on a bar, is

Answer & Solution

82. The ratio of circumferential stress to the longitudinal stress in the walls of a cylindrical shell, due to flowing liquid, is

Answer & Solution

83. Stress may be defined as

Answer & Solution

84. A steel bar 5 m × 50 mm is loaded with 2,50,000 N. If the modulus of elasticity of the material is 0.2 MN/mm2 and Poisson’s ratio is 0.25, the change in the volume of the bar is:

Answer & Solution

85. For the close coil helical spring of the maximum deflection is

Answer & Solution

86. The vertical reaction for the arch is

Answer & Solution

87. Pick up the correct statement from the following:

Answer & Solution

88. If Q is load factor, S is shape factor and F is factor of safety in elastic design, the following:

Answer & Solution

89. The locus of the end point of the resultant of the normal and tangential components of the stress on an inclined plane, is

Answer & Solution

90. A simply supported beam carries varying load from zero at one end and w at the other end. If the length of the beam is a, the maximum bending moment will be

Answer & Solution

Read More Section(Theory of Structures)

81.
The ratio of the stresses produced by a suddenly applied load and by a gradually applied load on a bar, is

82.
The ratio of circumferential stress to the longitudinal stress in the walls of a cylindrical shell, due to flowing liquid, is

83.
Stress may be defined as

84.
A steel bar 5 m × 50 mm is loaded with 2,50,000 N. If the modulus of elasticity of the material is 0.2 MN/mm² and Poisson’s ratio is 0.25, the change in the volume of the bar is:

85.
For the close coil helical spring of the maximum deflection is

86.
The vertical reaction for the arch is

87.
Pick up the correct statement from the following:

88.
If Q is load factor, S is shape factor and F is factor of safety in elastic design, the following:

89.
The locus of the end point of the resultant of the normal and tangential components of the stress on an inclined plane, is

90.
A simply supported beam carries varying load from zero at one end and w at the other end. If the length of the beam is a, the maximum bending moment will be