1
GATE ME 2016 Set 2
MCQ (Single Correct Answer)
+2
-0.6
A rigid horizontal rod of length $$2L$$ is fixed to a circular cylinder of radius $$R$$ as shown in the figure. Vertical forces of magnitude $$P$$ are applied at the two ends as shown in the figure. The shear modulus for the cylinder is $$G$$ and the Young’s modulus is $$E.$$ GATE ME 2016 Set 2 Strength of Materials - Torsion Question 6 English

The vertical deflection at point $$A$$ is

A
$$P{L^3}/\left( {\pi {R^4}G} \right)$$
B
$$P{L^3}/\left( {\pi {R^4}E} \right)$$
C
$$2P{L^3}/\left( {\pi {R^4}E} \right)$$
D
$$4P{L^3}/\left( {\pi {R^4}G} \right)$$
2
GATE ME 2016 Set 2
MCQ (Single Correct Answer)
+2
-0.6
A simply supported beam of length $$2L$$ is subjected to a moment $$M$$ at the mid-point $$x = 0$$ as shown in the figure. The deflection in the domain $$0 \le x \le L$$ is given by $$$W = {{ - Mx} \over {12EIL}}\left( {L - x} \right)\left( {x + c} \right)$$$

Where $$E$$ is the Young’s modulus, $$I$$ is the area moment of inertia and $$c$$ is a constant (to be determined).

GATE ME 2016 Set 2 Strength of Materials - Deflection of Beams Question 5 English

The slope at the center $$X=0$$ is

A
$$ML/(2EI)$$
B
$$ML/(3EI)$$
C
$$ML/(6EI)$$
D
$$ML/(12EI)$$
3
GATE ME 2016 Set 2
MCQ (Single Correct Answer)
+1
-0.3
A thin cylindrical pressure vessel with closed-ends is subjected to internal pressure. The ratio of circumferential (hoop) stress to the longitudinal stress is
A
0.25
B
0.50
C
1.0
D
2.0
4
GATE ME 2016 Set 2
MCQ (Single Correct Answer)
+1
-0.3
A single degree of freedom mass-spring - viscous damper system with mass $$m,$$ spring constant $$k$$ and viscous damping coefficient $$q$$ is critically damped. The correct relation among $$m, k$$ and $$q$$ is
A
$$q = \sqrt {2km} $$
B
$$q = 2\sqrt {km} $$
C
$$\,q = \sqrt {{{2k} \over m}} $$
D
$$q = 2\sqrt {{k \over m}} $$
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