1
GATE ME 2014 Set 2
MCQ (Single Correct Answer)
+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 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 _______ .
Your input ____
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 _______ .
Your input ____
4
GATE ME 2014 Set 1
MCQ (Single Correct Answer)
+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
Turbo Machinery
EXAM MAP