GATE ME 2014 Set 1 | Simple Stress and Strain Question 17 | 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 2014 Set 4

Numerical

-0

If the Poisson's ratio of an elastic material is $$0.4$$, the ratio of modulus of rigidity to Young's modulus is _____ .

Your input ____

GATE ME 2014 Set 4

Numerical

-0

The number of independent elastic constants required to define the stress-strain relationship for an isotropic elastic solid is ________

Your input ____

GATE ME 2014 Set 2

MCQ (Single Correct Answer)

-0.3

A steel cube, with all faces free to deform, has Young’s modulus, $$E,$$ Poisson’s ratio, $$ν,$$ and coefficient of thermal expansion, $$\alpha .$$ The pressure (hydrostatic stress) developed within the cube, when it is subjected to a uniform increase in temperature, $$\Delta T,$$ is given by

$$0$$

$${{\alpha \left( {\Delta T} \right)E} \over {1 - 2v}}$$

$$ - {{\alpha \left( {\Delta T} \right)E} \over {1 - 2v}}$$

$${{\alpha \left( {\Delta T} \right)E} \over {3\left( {1 - 2v} \right)}}$$

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