Strength Of Materials MCQ Questions & Answers

41

Within elastic limit, stress is

A) Inversely proportional to strain B) Directly proportional to strain C) Square root of strain D) Equal to strain

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Answer & Solution

Answer: Option B

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42

When a body is subjected to a direct tensile stress $$\left( {{\sigma _{\text{x}}}} \right)$$ in one plane accompanied by a simple shear stress $$\left( {{\tau _{{\text{xy}}}}} \right),$$ the maximum normal stress is

A) $$\frac{{{\sigma _{\text{x}}}}}{2} + \frac{1}{2} \times \sqrt {\sigma _{\text{x}}^2 + 4\tau _{{\text{xy}}}^2} $$ B) $$\frac{{{\sigma _{\text{x}}}}}{2} - \frac{1}{2} \times \sqrt {\sigma _{\text{x}}^2 + 4\tau _{{\text{xy}}}^2} $$ C) $$\frac{{{\sigma _{\text{x}}}}}{2} + \frac{1}{2} \times \sqrt {\sigma _{\text{x}}^2 - 4\tau _{{\text{xy}}}^2} $$ D) $$\frac{1}{2} \times \sqrt {\sigma _{\text{x}}^2 + 4\tau _{{\text{xy}}}^2} $$

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Answer: Option A

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43

When a body is subjected to a direct tensile stress $$\left( {{\sigma _{\text{x}}}} \right)$$ in one plane accompanied by a simple shear stress $$\left( {{\tau _{{\text{xy}}}}} \right),$$ the minimum normal stress is

A) $$\frac{{{\sigma _{\text{x}}}}}{2} + \frac{1}{2} \times \sqrt {\sigma _{\text{x}}^2 + 4\tau _{{\text{xy}}}^2} $$ B) $$\frac{{{\sigma _{\text{x}}}}}{2} - \frac{1}{2} \times \sqrt {\sigma _{\text{x}}^2 + 4\tau _{{\text{xy}}}^2} $$ C) $$\frac{{{\sigma _{\text{x}}}}}{2} + \frac{1}{2} \times \sqrt {\sigma _{\text{x}}^2 - 4\tau _{{\text{xy}}}^2} $$ D) $$\frac{1}{2} \times \sqrt {\sigma _{\text{x}}^2 + 4\tau _{{\text{xy}}}^2} $$

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Answer: Option B

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44

When a body is subjected to biaxial stress i.e. direct stresses $$\left( {{\sigma _{\text{x}}}} \right)$$ and $$\left( {{\sigma _{\text{y}}}} \right)$$ in two mutually perpendicular planes accompanied by a simple shear stress $$\left( {{\tau _{{\text{xy}}}}} \right),$$ then maximum normal stress is

A) $$\frac{{{\sigma _{\text{x}}} + {\sigma _{\text{y}}}}}{2} + \frac{1}{2}\sqrt {{{\left( {{\sigma _{\text{x}}} - {\sigma _{\text{y}}}} \right)}^2} + 4\tau _{{\text{xy}}}^2} $$ B) $$\frac{{{\sigma _{\text{x}}} + {\sigma _{\text{y}}}}}{2} - \frac{1}{2}\sqrt {{{\left( {{\sigma _{\text{x}}} - {\sigma _{\text{y}}}} \right)}^2} + 4\tau _{{\text{xy}}}^2} $$ C) $$\frac{{{\sigma _{\text{x}}} - {\sigma _{\text{y}}}}}{2} + \frac{1}{2}\sqrt {{{\left( {{\sigma _{\text{x}}} + {\sigma _{\text{y}}}} \right)}^2} + 4\tau _{{\text{xy}}}^2} $$ D) $$\frac{{{\sigma _{\text{x}}} - {\sigma _{\text{y}}}}}{2} - \frac{1}{2}\sqrt {{{\left( {{\sigma _{\text{x}}} + {\sigma _{\text{y}}}} \right)}^2} + 4\tau _{{\text{xy}}}^2} $$

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Answer & Solution

Answer: Option A

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45

When a body is subjected to biaxial stress i.e. direct stresses $$\left( {{\sigma _{\text{x}}}} \right)$$ and $$\left( {{\sigma _{\text{y}}}} \right)$$ in two mutually perpendicular planes accompanied by a simple shear stress $$\left( {{\tau _{{\text{xy}}}}} \right),$$ then minimum normal stress is

A) $$\frac{{{\sigma _{\text{x}}} + {\sigma _{\text{y}}}}}{2} + \frac{1}{2}\sqrt {{{\left( {{\sigma _{\text{x}}} - {\sigma _{\text{y}}}} \right)}^2} + 4\tau _{{\text{xy}}}^2} $$ B) $$\frac{{{\sigma _{\text{x}}} + {\sigma _{\text{y}}}}}{2} - \frac{1}{2}\sqrt {{{\left( {{\sigma _{\text{x}}} - {\sigma _{\text{y}}}} \right)}^2} + 4\tau _{{\text{xy}}}^2} $$ C) $$\frac{{{\sigma _{\text{x}}} - {\sigma _{\text{y}}}}}{2} + \frac{1}{2}\sqrt {{{\left( {{\sigma _{\text{x}}} + {\sigma _{\text{y}}}} \right)}^2} + 4\tau _{{\text{xy}}}^2} $$ D) $$\frac{{{\sigma _{\text{x}}} - {\sigma _{\text{y}}}}}{2} - \frac{1}{2}\sqrt {{{\left( {{\sigma _{\text{x}}} + {\sigma _{\text{y}}}} \right)}^2} + 4\tau _{{\text{xy}}}^2} $$

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Answer & Solution

Answer: Option B

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46

The maximum shear stress is __________ the algebraic difference of maximum and minimum normal stresses.

A) Equal to B) One-fourth C) One-half D) Twice

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Answer & Solution

Answer: Option C

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47

In a thick cylindrical shell subjected to an internal pressure (p), the tangential stress across the thickness of a cylinder is

A) Maximum at the outer surface and minimum at the inner surface B) Maximum at the inner surface and minimum at the outer surface C) Maximum at the outer surface and zero at the inner surface D) Maximum at the inner surface and zero at the outer surface

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Answer & Solution

Answer: Option B

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48

In a simply supported beam carrying a uniformly distributed load w per unit length, the point of contraflexure

A) Lies in the center of the beam B) Lies at the ends of the beam C) Depends upon the length of beam D) Does not exist

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Answer: Option D

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49

The shear modulus of most materials with respect to the modulus of elasticity is

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

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Answer: Option B

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50

The strain energy stored in a body, when the load is gradually applied, is (where $$\sigma $$ = Stress in the material of the body, V = Volume of the body and E = Modulus of elasticity of the material)

A) $$\frac{{\sigma {\text{E}}}}{{\text{V}}}$$ B) $$\frac{{\sigma {\text{V}}}}{{\text{E}}}$$ C) $$\frac{{{\sigma ^2}{\text{E}}}}{{2{\text{V}}}}$$ D) $$\frac{{{\sigma ^2}{\text{V}}}}{{2{\text{E}}}}$$

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Answer: Option D

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

Strength Of Materials MCQ Questions & Answers | Mechanical Engineering