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 3
MCQ (Single Correct Answer)
+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 GATE ME 2014 Set 3 Strength of Materials - Simple Stress and Strain Question 25 English 1 GATE ME 2014 Set 3 Strength of Materials - Simple Stress and Strain Question 25 English 2
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 2013
MCQ (Single Correct Answer)
+1
-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
A
$${P \over A}$$
B
$${{P\left( {{E_1} - {E_2}} \right)} \over {A\left( {{E_1} + {E_2}} \right)}}$$
C
$${{P{E_2}} \over {A{E_1}}}$$
D
$${{P{E_1}} \over {A{E_2}}}$$
4
GATE ME 2007
MCQ (Single Correct Answer)
+1
-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
A
$$0$$
B
$$\alpha \Delta \,T$$
C
$$E\alpha \Delta \,T$$
D
$$E\alpha \Delta \,TL$$
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