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Champion Plan | "Thermal Stresses " (App update required to attempt this test)

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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 200 GPa and $Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE-ME-2014-Set-1_files\image133.png$ , respectively, the magnitude of the longitudinal stress (in MPa) developed in the rod

is _______

Question 2

A steel rod 10 m long is at temperature of 20℃ and is heated to 60℃. What is the stress induced if the allowable expansion in the rod is 4mm. Young’s Modulus of steel is 200 GPa and coefficient of linear expansion is 12×10^-6/℃.

Question 3

Given blocks are acted by ∆T = 50ºC
For steels, E_s = 200GPa , D_s = 75mm , α = 11.7 x 10^-6 / ºC
For copper , E_c = 70GPa , D_s = 50 mm , α = 21.6 x 10^-6 / ºC

Find thermal stress on copper ___________?

Question 4

Two plates are parallel placed over one another and welded . Both plates are of equal area. and one have(upper one) E=200GPa and another(lower one) E=100GPa. The temperature of both is raised by the 50 ⁰C and the upper and lower plate have coefficient of linear thermal expansivity is

/C and

/C respectively . What will be stress in upper plate.

Question 5

A square plate of side 5mm is constrained in three directions and allowed to move in one direction. The temperature of the plate is now raised by 75 K and the coefficient of expansion is 2 X

. The increase in length in free direction is ________ mm (up to 3 decimals).
Take Poisson's ratio = 0.3

Question 6

A circular bar is tapering from diameter of 100 mm to diameter of 50 mm at the other end. The bar is fixed at its ends and is initially in stress free condition. The temperature is now raised by 50K. What will be the absolute maximum stress developed in the bar if the modulus of elasticity is 200 GPa and the coefficient of expansion is

. _____ GPa.

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Tags :

ESE & GATE ME Strength of Materials

Dec 9ESE & GATE ME