GATE PI topic:applied-mechanics PYQs & Answers — Page 4

Questions 31–38 of 38. Imported answers require independent review unless marked reviewed.

A spherical pressure vessel (made of mild steel) of internal diameter 500 mm and thickness 10 mm is subjected to an internal gauge pressure of 400 kPa. If the yield stress of mild steel is 200 MPa, the factor of safety (up to one decimal place) is _____

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A square cross-section wooden column of length 3140 mm is pinned at both ends. For the wood, Young’s modulus of elasticity is 12 GPa and allowable compressive stress is 12 MPa. The column needs to support an axial compressive load of 200 kN. Using a factor of safety of 2.0 in the computation of Euler’s buckling load, the minimum cross-sectional area (in mm

) of the column is _____

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Length, width and thickness of a plate are 400 mm, 400 mm and 30 mm, respectively. For the material of the plate, Young’s modulus of elasticity is 70 GPa, yield stress is 80 MPa and Poisson’s ratio is 0.3. When the plate is subjected to a longitudinal tensile stress of 70 MPa, the increase in the volume (in mm

) of the plate is _____

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For a two dimensional state-of-stress defined as

, the Mohr’s circle of stress has

Your answerChoose one option.

center at

and radius

center at

and radius

center at

and radius

center at

and radius

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A specimen of steel has yield strength of 700 MPa. The specimen is subjected to a state of plane-stress with

MPa. The factor of safety according to the von-Mises theory of failure is ________.

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The inside and outside radii of a thick-walled cylindrical pressure vessel are denoted by

and

, respectively. If the vessel is subjected to an internal pressure

, then the magnitude of the radial stress

Your answerChoose one option.

zero at

and maximum at $r = b

maximum at

and zero at $r = b

constant over the entire thickness

zero at both

and $r = b

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The simply-supported beam shown in the Figure is loaded symmetrically using two equal point loads

. The radius of curvature of the deflection-curve is 15 m for the portion of the beam that is subjected to pure bending. The vertical deflection (in mm) at point M, equidistant from both the supports, is __________ (up to two decimal places).

Diagram for Production and Industrial Engineering question 30

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A solid circular shaft is subjected to a bending moment

and torque

simultaneously. Neglecting the effects of stress concentration, the equivalent bending moment is expressed as

Your answerChoose one option.

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GATE PI topic:applied-mechanics PYQs

Question 39

Question 40

Question 41

Question 6

Question 7

Question 8

Question 30

Question 31