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Test: Properties of Metals, Simple Stress Strain & Elastic Constants - 3 - Question 1

The unit of elastic modulus is the same as those of

Test: Properties of Metals, Simple Stress Strain & Elastic Constants - 3 - Question 2

For a linearly elastic, isotropic and homogeneous material, the number of elastic constants required to relate stress and strain is

Test: Properties of Metals, Simple Stress Strain & Elastic Constants - 3 - Question 3

If the cross-section of a member is subjected to a uniform shear stress of intensity ‘q’, then the strain energy stored per unit volume is equal to (G = modulus of rigidity)

Detailed Solution for Test: Properties of Metals, Simple Stress Strain & Elastic Constants - 3 - Question 3

Test: Properties of Metals, Simple Stress Strain & Elastic Constants - 3 - Question 4

In the case of an engineering material under unidirectional stress in the x-axis, the Poisson’s ratio is equal to (symbols have their usual meanings)

Test: Properties of Metals, Simple Stress Strain & Elastic Constants - 3 - Question 5

A 100 mm long and 50 mm diameter steel rod fits snugly between two rigid walls 100 mm apart at room temperature. Young's modulus of elasticity and coefficient of linear expansion of steel are 2 x 10^{5} N/mm^{2} and 12 x 10^{-6}/°C respectively. The stress developed in the rod due to a 100°C rise in temperature will be

Detailed Solution for Test: Properties of Metals, Simple Stress Strain & Elastic Constants - 3 - Question 5

Test: Properties of Metals, Simple Stress Strain & Elastic Constants - 3 - Question 6

During tensile testing of a specimen using a Universal Testing Machine, the parameters actually measured include

Test: Properties of Metals, Simple Stress Strain & Elastic Constants - 3 - Question 7

If the value of Poisson’s ratio is zero, then it means that

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Test: Properties of Metals, Simple Stress Strain & Elastic Constants - 3 - Question 8

The stretch in a steel rod of circular section, having a length ℓ subjected to a tensile load P and tapering uniformly from a diameter d_{1}, at one end to a 'diameter d_{2} at the other end, is given by

Test: Properties of Metals, Simple Stress Strain & Elastic Constants - 3 - Question 9

If Poisson’s ratio for a material is 0.5, then the elastic modulus for the material is

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Test: Properties of Metals, Simple Stress Strain & Elastic Constants - 3 - Question 10

The Poisson’s ratio of a material which has Young’s modulus of 120 GPa, and shear modulus of 50 GPa, is

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Test: Properties of Metals, Simple Stress Strain & Elastic Constants - 3 - Question 11

A rod of material E = 200 x 10^{3 }MPa and α = 10^{-3} mm/mm/°C is fixed at both the ends. It is uniformly heated such that the increase in temperature is 30°C. The stress developed in the rod is

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Test: Properties of Metals, Simple Stress Strain & Elastic Constants - 3 - Question 12

The deformation of a bar under its own weight as compared to that when subjected to a direct axial load equal to its own weight will be

Test: Properties of Metals, Simple Stress Strain & Elastic Constants - 3 - Question 13

The number of independent elastic constants required to express the stress-strain relationship for linearly elastic isotropic materia! is

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Test: Properties of Metals, Simple Stress Strain & Elastic Constants - 3 - Question 14

A tapering bar (diameters of end sections being d_{1} and d_{2}) and a bar of uniform cross-section ‘d' have the same length and are subjected to the same axial pull. Both the bars will have the same extension if ‘ d ’ is equal to

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Test: Properties of Metals, Simple Stress Strain & Elastic Constants - 3 - Question 15

The number of elastic constants for a completely anisotropic elastic material which follows Hooke’s law is

Test: Properties of Metals, Simple Stress Strain & Elastic Constants - 3 - Question 16

For a given material, the modulus of rigidity is 100 GPa and Poisson’s ratio is 0.25. The value of modulus of elasticity in GPa is

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Test: Properties of Metals, Simple Stress Strain & Elastic Constants - 3 - Question 17

A cube having each side of length ‘a’ is constrained in all directions and is heated uniformly so that the temperature is raised to T°C. If α is the thermal coefficient of expansion of the cube material and E is the modulus of elasticity, the stress developed in the cube is

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Test: Properties of Metals, Simple Stress Strain & Elastic Constants - 3 - Question 18

Toughness for mild steel under uniaxial tensile loading is given by the shaded portion of the stress-strain diagram as shown in

Detailed Solution for Test: Properties of Metals, Simple Stress Strain & Elastic Constants - 3 - Question 18

Test: Properties of Metals, Simple Stress Strain & Elastic Constants - 3 - Question 19

Which one of the following is correct in respect of Poisson’s ratio (v) limits for an isotropic elastic solid?

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Test: Properties of Metals, Simple Stress Strain & Elastic Constants - 3 - Question 20

A bar of copper and steel form a composite system. They are heated to a temperature of 40°C. What type of stress is induced in the copper bar?

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