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
EXAM MAP
Medical
NEET