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 2
MCQ (Single Correct Answer)
+1
-0.3
A thin plate of uniform thickness is subject to pressure as shown in the figure below GATE ME 2014 Set 2 Strength of Materials - Complex Stresses Question 21 English

Under the assumption of plane stress, which one of the following is correct?

A
Normal stress is zero in the z-direction
B
Normal stress is tensile in the z-direction
C
Normal stress is compressive in the z-direction
D
Normal stress varies in the z-direction
3
GATE ME 2014 Set 2
MCQ (Single Correct Answer)
+2
-0.6
The flexural rigidity $$(EI)$$ of a cantilever beam is assumed to be constant over the length of the beam as shown in figure. If a load $$P$$ and bending moment $$PL/2$$ are applied at the free end of the beam then the value of the slope at the free end is GATE ME 2014 Set 2 Strength of Materials - Deflection of Beams Question 13 English
A
$${1 \over 2}$$ $${{P{L^2}} \over {EI}}$$
B
$${{P{L^2}} \over {EI}}$$
C
$${3 \over 2}$$ $${{P{L^2}} \over {EI}}$$
D
$${5 \over 2}$$ $${{P{L^2}} \over {EI}}$$
4
GATE ME 2014 Set 2
MCQ (Single Correct Answer)
+2
-0.6
A cantilever beam of length, $$L,$$ with uniform cross-section and flexural rigidity $$ EI,$$ is loaded uniformly by a vertical load, $$w$$ per unit length. The maximum vertical deflection of the beam is given by
A
$${{w{L^4}} \over {8EI}}$$
B
$${{w{L^4}} \over {16EI}}$$
C
$${{w{L^4}} \over {4EI}}$$
D
$${{w{L^4}} \over {24EI}}$$
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