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GATE Prev Year : Mechanics of Materials Test-8

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Question 1

A gas is stored in a cylindrical tank of inner radius 7 inch and wall thickness 5 mm. The gauge pressure of the gas is 2 MPa. The maximum shear stress (in MPa) in the wall is

Question 2

Match the following criteria of material failure, under biaxial stresses ï1 and ï2 and yield stress ïy, with their corresponding graphic representations:
Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE EC-ME-17-Mar\GATE-ME-2011_files\image044.png

Question 3

A circular rod 50 mm in diameter and 200 mm long is welded to a plate by fillet welding all around the circumference as shown in figure. The size of the weld is 15mm. The section modulus of the weld is 22000 mm3. Determine the resultant stress in the weld.
Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE-EE-ME-19-Mar\GATE-ME-2000_files\image250.jpg

Question 4

The flexural rigidity (EI) of a cantilever beam is assumed to be constant over the length of the beam shown in figure. If a load P and bending moment PL/2 are applied at the free end of the beam then the value of the slope at the free end is  __________.

Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE-ME-2014-Set-2_files\image119.jpg

Question 5

A shaft subjected to torsion experiences a pure shear stress τ on the surface. The maximum principal stress on the surface, which is at 45 ° to the axis, will have a value

Question 6

A weighing machine consists of a 2 kg pan resting on a spring. In this condition, the pan resting on the spring, the length of the spring is 200 mm. When a mass of 20 kg is placed on the pan, the length of the spring becomes 100 mm. For the spring, the un-deformed length and the spring constant k (stiffness) are
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