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GATE 2019: Strength of Material Quiz 6
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Question 1
A 200 mm long stress free rod at room temperature is held between two immovable rigid walls. The temperature of the rod is uniformly raised by 250 °C. if the young’s modulus and coefficient of thermal expansion are 100 GPa and 2*10-5 / °C respectively the magnitude of the longitudinal stress (in MPA. developed in the rod is
Question 2
A 100 mm × 50 mm × 50 mm steel bar free to expand is heated from 15 °C to 40 °C. What kind of stress shall be developed?
Question 3
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.
Young’s modulus of the material of the rod is 200 GPa and the coefficient of thermal expansion is 10-5 per °C.
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
If the beam is slowly and uniformly heated, the temperature rise required to cause the beam to buckle is proportional to
Question 5
A solid steel cube constrained on all six faces is heated so that the temperature rises uniformly by
. If the thermal coefficient of the material is 
Young's modulus is E and the Poisson's ratio is
, the thermal stress developed in the cube due to heating is
. If the thermal coefficient of the material is Young's modulus is E and the Poisson's ratio is, the thermal stress developed in the cube due to heating is Question 6
The cross section of a compound bar 1 m long is as shown in figure. If the temperature is raised by 80 °C determine the stresses (in 
) in each metal.
αc= 17*10-6 m/oC, αs = 12*10-6 m/oC
, 
) in each metal.αc= 17*10-6 m/oC, αs = 12*10-6 m/oC
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