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GATE 2020: Strength of Material Quiz 6

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Question 1

A bar of copper and steel from a composition system which is heated through a temperature of 40˚C. The stress induced in copper bar is

Question 2

If a material expands freely due to heating it will develop __________.

Question 3

A steel specimen 150 mm2 in cross-section stretches by 0.05 mm over a 50 mm gauge length under an axial load of 30 kN. What is the strain energy stored in the specimen?
(Take E = 200 GPa)

Question 4

An initially stress-free massless elastic beam of length L and circular cross-section with diameter d (d << L) is held fixed between two walls as shown. The beam material has Young‟s modulus E and coefficient of thermal expansion

If the beam is slowly and uniformly heated, the temperature rise required to cause the beam to buckle is proportional to

Question 5

A circular metallic rod of length 250 mm is placed between two rigid immovable walls as shown in the figure. The rod is in perfect contact with the wall on the left side and there is a gap of 0.2 mm between the rod and the wall on the right side. If the temperature of the rod is increased by 200 ° C, the magnitude of axial stress developed in the rod is MPa.
Young’s modulus of the material of the rod is 200 GPa and the coefficient of thermal expansion is 10-5 per °C.

Question 6

A circular bar rigidly fixed at its both ends uniformly taper from 150 mm at one end to 100 mm at the other end. If its temperature is raised through 30K, what will be maximum stress developed in the bar.
[Take Eas 200 GPa and Description: Description: E:\Gate\SSC JE Mechanical Part 1\Made Easy Questions\04_SOM_BLok_files\image086.png as Description: Description: E:\Gate\SSC JE Mechanical Part 1\Made Easy Questions\04_SOM_BLok_files\image087.pngfor the bar materials]
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