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GATE ME : Strength of Materials - Maestro Quiz

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Question 1

Consider a stepped shaft subjected to a twisting moment applied at B as shown in the figure. Assume shear modulus. G = 77 GPa. The angle of twist at C (in degrees) is ____________

Question 2

In a bi-axial stress problem, the stresses in x and y directions are Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE-EE-ME-19-Mar\GATE-ME-2000_files\image031.png and Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE-EE-ME-19-Mar\GATE-ME-2000_files\image032.png The maximum principal stress in MPa is

Question 3

A thin walled spherical shell is subjected to an internal pressure. If the radius of the shell is increased by 1% and the thickness is reduced by 1%, with the internal pressure remaining the same, the percentage change in the circumferential (hoop) stress is

Question 4

Maximum shear stress developed on the surface of a solid circular shaft under pure torsion is 240 MPa. If the shaft diameter is doubled then the maximum shear stress developed corresponding to the same torque will be

Question 5

Two identical circular rods of same diameter and same length are subjected to same magnitude of axial tensile force. One of the rods is made out of mild steel having the modulus of elasticity of 206 Gpa. The other rod is made out of cast iron having he modulus of elasticity of 100 Gpa. Assume both the materials to be homogeneous and isotropic and the axial force causes the same amount of uniform stress in both the rods. The stresses developed are within the proportional limit of the respective materials. Which of the following observations is correct?

Question 6

The figure below shows a steel rod of 25 mm2 cross sectional area. It is loaded at four points, K, L, M and N. Assume Esteel =200GPa.The total change in length of the rod due to loading is
Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE ME 18-Mar\GATE-ME-2004_files\image157.png

Question 7

A cantilever beam carries the anti-symmetric load shown, where wo is the peak intensity of the distributed load. Qualitatively, the correct bending moment diagram for this beam is
Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE ME 18-Mar\GATE-ME-2005_files\image132.jpg

Question 8

For the overhanging beam shown in figure, the magnitude or maximum bending moment (in kN-m) is________

Question 9

Use the area moment method to find the vertical deflection of the uniform beam AB at the following points:
(a) Middle of the beam (point O)
(b) Left end of the beam (point A)
The flexural rigidity of the beam is EI.

Question 10

A metal rod of initial length Lo is subjected to a drawing process. The length of the rod at any instant is given by the expression, L(t)= Lo (1+t2) , where t is the time in minutes. The true strain rate (in min-1) at the end of one minute is ________.
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