GATE ME 2014 Set 1 | Simple Stress and Strain Question 21 | Strength of Materials

GATE ME 2014 Set 1

MCQ (Single Correct Answer)

-0.3

A circular rod of length $$‘L’$$ and area of cross-section $$‘A’$$ has a modulus of elasticity $$‘E’$$ and coefficient of thermal expansion $$‘α’.$$ One end of the rod is fixed and other end is free. If the temperature of the rod is increased by $$\Delta T.$$ then

stress developed in the rod is $$E\alpha \Delta T$$ and strain developed in the rod is $$\alpha \Delta T$$

both stress and strain developed in the rod are zero

stress developed in the rod is zero and strain developed in the rod is $$\alpha \Delta T$$

stress developed in the rod is $$E\alpha \Delta T$$ and strain developed in the rod is zero

GATE ME 2013

MCQ (Single Correct Answer)

-0.3

A rod of length $$L$$ having uniform cross-sectional area $$A$$ is subjected to a tensile force $$P$$ as shown in the figure below. If the Young’s modulus of the material varies linearly from $${E_1}$$ to $${E_2}$$ along the length of the rod, the normal stress developed at the section $$-$$ $$SS$$ is GATE ME 2013 Strength of Materials - Simple Stress and Strain Question 30 English

GATE ME 2013 Strength of Materials - Simple Stress and Strain Question 30 English

$${P \over A}$$

$${{P\left( {{E_1} - {E_2}} \right)} \over {A\left( {{E_1} + {E_2}} \right)}}$$

$${{P{E_2}} \over {A{E_1}}}$$

$${{P{E_1}} \over {A{E_2}}}$$

GATE ME 2007

MCQ (Single Correct Answer)

-0.3

A steel rod of length $$L$$ and diameter $$D$$, fixed at both ends, is uniformly heated to a temperature rise of $$\Delta T.$$ The Young's modulus is $$E$$ and the coefficient of linear expansion is $$'\alpha '\,.$$ The thermal stress in the rod is

$$0$$

$$\alpha \Delta \,T$$

$$E\alpha \Delta \,T$$

$$E\alpha \Delta \,TL$$

GATE ME 2004

MCQ (Single Correct Answer)

-0.3

In terms of Poisson's ratio $$\left( \mu \right)$$ the ratio of Young's Modulus $$(E)$$ to Shear Modulus $$(G)$$ of elastic materials is

$$2\left( {1 + \mu } \right)$$

$$2\left( {1 - \mu } \right)$$

$${1 \over 2}\left( {1 + \mu } \right)$$

$${1 \over 2}\left( {1 - \mu } \right)$$