Strength Of Materials MCQ Questions & Answers

31

The given figure shows the Mohr's circle of stress for two unequal and like principal stresses (σ_x and σ_y) acting at a body across two mutually perpendicular planes. The normal stress on an oblique section making an angle θ with the minor principle plane is given by
Strength of Materials mcq question image

Strength of Materials mcq question image

A) OC B) OP C) OQ D) PQ

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Answer & Solution

Answer: Option C

Solution:

32

The stress induced in a body, when suddenly loaded, is _________ the stress induced when the same load is applied gradually.

A) Equal to B) One-half C) Twice D) Four times

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Answer & Solution

Answer: Option C

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33

The strain energy stored in a body, when suddenly loaded, is __________ the strain energy stored when same load is applied gradually.

A) Equal to B) One-half C) Twice D) Four times

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Answer & Solution

Answer: Option D

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34

In the above question, the ratio of stiffness of spring 'B' to spring 'A' will be

A) 2 B) 4 C) 6 D) 8

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Answer & Solution

Answer: Option D

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35

Two closely-coiled helical springs 'A' and 'B' of the same material, same number of turns and made from same wire are subjected to an axial load W. The mean diameter of spring 'A' is double the mean diameter of spring 'B'. The ratio of deflections in spring 'B' to spring 'A' will be

A) $$\frac{1}{8}$$ B) $$\frac{1}{4}$$ C) 2 D) 4

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Answer & Solution

Answer: Option A

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36

When a closely-coiled helical spring of mean diameter (D) is subjected to an axial load (W), the stiffness of the spring is given by

A) $$\frac{{{\text{C}}{{\text{d}}^4}}}{{{{\text{D}}^3}{\text{n}}}}$$ B) $$\frac{{{\text{C}}{{\text{d}}^4}}}{{2{{\text{D}}^3}{\text{n}}}}$$ C) $$\frac{{{\text{C}}{{\text{d}}^4}}}{{4{{\text{D}}^3}{\text{n}}}}$$ D) $$\frac{{{\text{C}}{{\text{d}}^4}}}{{8{{\text{D}}^3}{\text{n}}}}$$

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Answer & Solution

Answer: Option D

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37

The polar moment of inertia of a hollow shaft of outer diameter (D) and inner diameter (d) is

A) $$\frac{\pi }{{16}}\left( {{{\text{D}}^3} - {{\text{d}}^3}} \right)$$ B) $$\frac{\pi }{{16}}\left( {{{\text{D}}^4} - {{\text{d}}^4}} \right)$$ C) $$\frac{\pi }{{32}}\left( {{{\text{D}}^4} - {{\text{d}}^4}} \right)$$ D) $$\frac{\pi }{{64}}\left( {{{\text{D}}^4} - {{\text{d}}^4}} \right)$$

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Answer & Solution

Answer: Option C

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38

The torque transmitted by a hollow shaft of outer diameter (D) and inner diameter (d) is

A) $$\frac{\pi }{4} \times \tau \left( {\frac{{{{\text{D}}^2} - {{\text{d}}^2}}}{{\text{D}}}} \right)$$ B) $$\frac{\pi }{{16}} \times \tau \left( {\frac{{{{\text{D}}^3} - {{\text{d}}^3}}}{{\text{D}}}} \right)$$ C) $$\frac{\pi }{{16}} \times \tau \left( {\frac{{{{\text{D}}^4} - {{\text{d}}^4}}}{{\text{D}}}} \right)$$ D) $$\frac{\pi }{{32}} \times \tau \left( {\frac{{{{\text{D}}^4} - {{\text{d}}^4}}}{{\text{D}}}} \right)$$

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Answer & Solution

Answer: Option C

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39

The polar modulus for a hollow shaft of outer diameter (D) and inner diameter (d) is

A) $$\frac{\pi }{4}\left( {\frac{{{{\text{D}}^2} - {{\text{d}}^2}}}{{\text{D}}}} \right)$$ B) $$\frac{\pi }{{16}}\left( {\frac{{{{\text{D}}^3} - {{\text{d}}^3}}}{{\text{D}}}} \right)$$ C) $$\frac{\pi }{{16}}\left( {\frac{{{{\text{D}}^4} - {{\text{d}}^4}}}{{\text{D}}}} \right)$$ D) $$\frac{\pi }{{32}}\left( {\frac{{{{\text{D}}^4} - {{\text{d}}^4}}}{{\text{D}}}} \right)$$

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Answer & Solution

Answer: Option C

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40

A steel bar 2 m long, 20 mm wide and 10 mm thick is subjected to a pull of 2 kN. If the same bar is subjected to a push of 2 kN, the Poisson’s ratio of the bar in tension will be __________ the Poisson's ratio for the bar in compression.

A) Equal to B) Less than C) Greater than D) None of these

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Answer & Solution

Answer: Option A

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Strength Of Materials MCQ Questions &amp; Answers | Mechanical Engineering

Strength Of Materials MCQ Questions & Answers | Mechanical Engineering