1
GATE ME 2016 Set 2
Numerical
+2
-0
A circular metallic rod of length 250 mm is placed between two rigid immovable walls as shown in the figure. The rod is in perfect contact with the wall on the left side and there is a gap of 0.2 mm between the rod and the wall on the right side. If the temperature of the rod is increased by 200oC, the axial stress developed in the rod is __________ MPa. GATE ME 2016 Set 2 Strength of Materials - Simple Stress and Strain Question 5 English

Young’s modulus of the material of the rod is 200 GPa and the coefficient of thermal expansion is 10−5 per oC.

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2
GATE ME 2016 Set 2
MCQ (Single Correct Answer)
+1
-0.3
A shaft with a circular cross-section is subjected to pure twisting moment. The ratio of the maximum shear stress to the largest principal stress is
A
$$2.0$$
B
$$1.0$$
C
$$0.5$$
D
$$0$$
3
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
$$4P{L^3}/\left( {\pi {R^4}G} \right)$$
4
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
$$ML/(12EI)$$
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