1
GATE ME 2016 Set 3
MCQ (Single Correct Answer)
+1
-0.3
The cross-sections of two solid bars made of the same material are shown in the figure. The square cross-section has flexural (bending) rigidity $${{\rm I}_1}$$ while the circular cross-section has flexural rigidity $${{\rm I}_2}$$. Both sections have the same cross-sectional area. The ratio $${{\rm I}_1}$$/$${{\rm I}_2}$$ is GATE ME 2016 Set 3 Strength of Materials - Pure Bending Question 11 English
A
$$1/\pi $$
B
$$2/\pi $$
C
$$\pi /3$$
D
$$\pi /6$$
2
GATE ME 2016 Set 3
MCQ (Single Correct Answer)
+2
-0.6
Two circular shafts made of same material, one solid $$(S)$$ and one hollow $$(H)$$, have the same length and polar moment of inertia. Both are subjected to same torque. Here. $${\theta _S}$$ is the twist and $${\tau _S}$$ is the maximum shear stress in the solid shaft, whereas $${\theta _H}$$ is the twist and $${\tau _H}$$ is the maximum shear stress in the hollow shaft. Which one of the following is TRUE?
A
$${\theta _S} = {\theta _H}$$ and $${\tau _S} = {\tau _H}$$
B
$${\theta _S} > {\theta _H}$$ and $${\tau _S} > {\tau _H}$$
C
$${\theta _S} < {\theta _H}$$ and $${\tau _S} < {\tau _H}$$
D
$${\theta _S} = {\theta _H}$$ and $${\tau _S} < {\tau _H}$$
3
GATE ME 2016 Set 3
MCQ (Single Correct Answer)
+2
-0.6
A beam of length $$L$$ is carrying a uniformly distributed load $$w$$ per unit length. The flexural rigidity of the beam is $$EI$$. The reaction at the simple support at the right end is GATE ME 2016 Set 3 Strength of Materials - Deflection of Beams Question 4 English
A
$${{wL} \over 2}$$
B
$${{3wL} \over 8}$$
C
$${{wL} \over 4}$$
D
$${{wL} \over 8}$$
4
GATE ME 2016 Set 3
MCQ (Single Correct Answer)
+1
-0.3
A rigid link $$PQ$$ is undergoing plane motion as shown in the figure ($${V_P}$$ and $${V_Q}$$ are non-zero). $${V_{QP}}$$ is the relative velocity of point $$Q$$ with respect to point $$P$$. GATE ME 2016 Set 3 Theory of Machines - Analysis of Plane Mechanisms Question 33 English

Which one of the following is TRUE?

A
$${V_{QP}}$$ has components along and perpendicular to $$PQ$$
B
$${V_{QP}}$$ has only one component directed from $$P$$ to $$Q$$
C
$${V_{QP}}$$ has only one component directed from $$Q$$ to $$P$$
D
$${V_{QP}}$$ has only one component perpendicular to $$PQ$$
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