Applied Mechanics and Design [GATE (Graduate Aptitude Test in Engineering) Mechanical Engineering]: Questions 20 - 23 of 82

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Question 20

Applied Mechanics and Design
Deflection of Beams

Appeared in Year: 2016

Question

MCQ▾

A cantilever beam having square cross-section of side a is subjected to an end load. If a is increased by , the tip deflection decreases approximately by

Choices

Choice (4)Response

a.

b.

c.

d.

Question 21

Applied Mechanics and Design
Gear Trains and Flywheels

Appeared in Year: 2016

Question

MCQ▾

In the gear train shown, gear 3 is carried on arm 5. Gear 3 meshes with gear 2 and gear 4. The number of teeth on gear 2,3, and 4 are 60,20, and 100, respectively. If gear 2 is fixed and gear 4rotates with an angular velocity of 100 rpm in the counterclockwise direction, the angular speed of arm 5 (in rpm) is

Choices

Choice (4)Response

a.

62.5 counterclockwise

b.

62.5 clockwise

c.

166.7 clockwise

d.

166.7 counterclockwise

Question 22

Applied Mechanics and Design
Torsion of Circular Shafts

Appeared in Year: 2016

Question

MCQ▾

The cross sections of two hollow bars made of the same material are concentric circles as shown in the figure. It is given that and , and that the areas of the cross-sections are the same. and are the torsional rigidities of the bars on the left and right, respectively. The ratio is

Choices

Choice (4)Response

a.

between

b.

c.

d.

Question 23

Applied Mechanics and Design
Stress and Strain

Appeared in Year: 2016

Question

MCQ▾

The principal stresses at a point inside a solid object are MPa and . The yield strength of the material is 200 . The factor of safety calculated using Tresca (maximum shear stress) theory is and the factor of safety calculated using von Mises (maximum distortional energy) theory is . Which one of the following relations is TRUE?

Choices

Choice (4)Response

a.

b.

c.

d.

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