GATE (CE) : STRENGTH OF MATERIAL #5

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Question 1

An axially loaded bar is subjected to a normal stress of 173 MPa. The maximum shear stress in the bar is

• A75MPa
• B86.5MPa
• C100MPa
• D122.3MPa

Question 2

A cantilever beam of length 1.5 m loaded by a concentrated force P at its end and is of circular cross-section with radius, R = 100 mm, having two symmetrically placed longitudinal holes as shown in figure. The allowable working stress in bending is 600 MPa. The maximum allowable value of the vertical force P is ______ kN.

• A235
• B236
• C237
• D238

Question 3

The maximum tensile stress at the section X–X shown in the figure below is

• A
• B
• C
• D

Question 4

Two hollow shafts of same material have same length and outside diameter. Shaft 1 has internal diameter equal to one-third of the outer diameter and shaft 2 has internal diameter equal to half of the outer diameter. If both the shafts are subjected to same torque, the ratio of their twist θ₁/θ₂ will be equal to ________.

• A0.95
• B0.87
• C0.88
• D0.92

Question 5

A solid shaft of diameter 100 mm, length 1000 mm is subjected to a twisting moment T. The maximum stress developed in the shaft is 60 N/mm². A concentric hole of 50 mm is now drilled throughout the length of the shaft. To develop a maximum shear stress of 60 N/mm² in the hollow shaft the torque T must be reduced by

• A
• B
• C
• D

Question 6

An elastic isotropic body is in a hydrostatic state of stress as shown in the figure. For no change in the volume to occur, what should be its Poisson's ratio?

• A0.00
• B0.25
• C0.50
• D1.00

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