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GATE ME 2022: Strength of Material

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Question 1

The state of stress at a point under plane stress condition is  σxx = 40 MPa, σyy = 100 MPa and τxy = 40 MPa. The radius of the Mohr's circle representing the given state of stress (in MPa) is ________.

Question 2

With the usual sign convention for bending moment, i.e., a positive bending moment causes compression in top fiber, what is sign, magnitude and location of numerically largest bending moment in the beam shown in the figure?

Question 3

The state of stress at a point is and . The maximum normal stress (in MPa) at that point is ___.

Question 4

A spherical vessel 1 m in diameter and 8 mm thick is filled with water under a pressure of 10 bar. The change in volume of the sphere in cubic centimeters is_____ .
(μ=0.25,E=200 GN/m2 and assume material remains elastic)

Question 5

For a loaded cantilever beam of uniform cross-section, the bending moment (in N.mm) along the length is M(x)=5x2+10x, where x is the distance (in mm) measured from the free end of the beam. The magnitude of shear force (in N) in the cross-section at x=10 mm is ___.

Question 6

A circular solid bar of diameter 40mm and length 1.3m is subjected to a twisting moment of 340 N-m. If the modulus of rigidity of the bar is 80 GPa, then the angle of twist is(in degree)
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Jul 22ESE & GATE ME