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Thermal stresses and poisson's QUIZ Achievers Quiz 3

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Question 1

A cube of size 40 mm is rigidly fixed at all points except at the top. If the temperature of the cube rises by 35˚C, the elongation of cube in vertical direction will be

Consider Modulus of elasticity of cube is 2 × 105 N/mm2, Poisson ratio of material is 0.28 and coefficient of thermal expansion is 2 × 10-4 /˚C.

Question 2

A composite bar made up of copper and steel of length 400 mm is heated to a temperature of 80˚C. The stresses generated in copper and steel if area of cross section of each bar is 250mm2. The modulus of elasticity of copper and steel is 1.1 × 105 N/mm2 and 2 × 105 N/mm2 respectively and coefficient of thermal expansion of copper and steel is 1.7 × 10-5/˚C and 1.3 × 10-5/˚C respectively.

Question 3

A bar of diameter 20 mm is subjected to a tensile load such that the measured extension on a gauge length of 150 mm is 0.08 mm and the change in diameter is 0.0032 mm. The Poisson’s ratio will be ________.

Question 4

The stepped beam as shown in the figure given below is subjected to temperature increment of 35˚C. The reaction at support D is____kN.

The properties of material are given in the following table

Question 5Multiple Correct Options

A 800 mm long and 60 mm diameter steel rod  fixed between unyielding supports. There is no stress in rod at 20oC . When temperature of rod manually changed from – 30oC to 45oC, what will be the range of axial stress change in the rod?

Question 6

A rigid wheel 1.25 m in diameter is to be provided with a thin steel tyre. If the stress in the steel type is not to exceed 140 MN/m2, the minimum temperature to which the type is to be raised so that it can be fitted over the wheel is _____°C. Take E = 200 GN/m2; ∝ = 12 × 10–6/°C.

Question 7

A 850 mm long and 40mm diameter rod of steel is attached at the ends to unyielding supports. When the temperature is 27oC, there is no stress in rod. After temperature of rod drops by 40oC . The axial stress in the rod (in MPa) will be_________.

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Sep 16ESE & GATE CE