Strength Of Materials MCQ Questions & Answers | Mechanical Engineering Page-4 section-4

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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

A. OC

B. OP

C. OQ

D. PQ

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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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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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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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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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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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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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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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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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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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Strength Of Materials MCQ Questions & Answers | Mechanical Engineering

31. The given figure shows the Mohr's circle of stress for two unequal and like principal stresses (σx and σy) 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

Answer & Solution

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

Answer & Solution

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

Answer & Solution

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

Answer & Solution

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

Answer & Solution

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

Answer & Solution

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

Answer & Solution

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

Answer & Solution

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

Answer & Solution

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.

Answer & Solution

Read More Section(Strength of Materials in ME)

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

32.
The stress induced in a body, when suddenly loaded, is _________ the stress induced when the same load is applied gradually.

33.
The strain energy stored in a body, when suddenly loaded, is __________ the strain energy stored when same load is applied gradually.

34.
In the above question, the ratio of stiffness of spring 'B' to spring 'A' will be

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

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

37.
The polar moment of inertia of a hollow shaft of outer diameter (D) and inner diameter (d) is

38.
The torque transmitted by a hollow shaft of outer diameter (D) and inner diameter (d) is

39.
The polar modulus for a hollow shaft of outer diameter (D) and inner diameter (d) is

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.