1
GATE ME 2014 Set 2
+1
-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
A
$$0$$
B
$${{\alpha \left( {\Delta T} \right)E} \over {1 - 2v}}$$
C
$$- {{\alpha \left( {\Delta T} \right)E} \over {1 - 2v}}$$
D
$${{\alpha \left( {\Delta T} \right)E} \over {3\left( {1 - 2v} \right)}}$$
2
GATE ME 2014 Set 3
+1
-0.3
The stress-strain curve for mild steel is shown in the figure given below. Choose the correct option referring to both figure and table  A
$$P - 1,\,Q - 2,\,R - 3,\,S - 4,\,T - 5,\,U - 6$$
B
$$P - 3,\,Q - 1,\,R - 4,\,S - 2,\,T - 6,\,U - 5$$
C
$$P - 3,\,Q - 4,\,R - 1,\,S - 5,\,T - 2,\,U - 6$$
D
$$P - 4,\,Q - 1,\,R - 5,\,S - 2,\,T - 3,\,U - 6$$
3
GATE ME 2014 Set 1
Numerical
+1
-0
A metallic rod of $$500$$mm length and $$50$$mm diameter, when subjected to a tensile force of $$100$$kN at the ends, experiences an increase in its length by $$0.5$$mm and a reduction in its diameter by $$0.015$$mm. The Poisson's ratio of the rod material is _______ .
4
GATE ME 2014 Set 1
+1
-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
A
stress developed in the rod is $$E\alpha \Delta T$$ and strain developed in the rod is $$\alpha \Delta T$$
B
both stress and strain developed in the rod are zero
C
stress developed in the rod is zero and strain developed in the rod is $$\alpha \Delta T$$
D
stress developed in the rod is $$E\alpha \Delta T$$ and strain developed in the rod is zero
GATE ME Subjects
Engineering Mechanics
Machine Design
Strength of Materials
Heat Transfer
Production Engineering
Industrial Engineering
Turbo Machinery
Theory of Machines
Engineering Mathematics
Fluid Mechanics
Thermodynamics
General Aptitude
EXAM MAP
Joint Entrance Examination