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Mechanical Engineering Exam  >  Mechanical Engineering Tests  >  Strength of Materials (SOM)  >  Test: Stress-Strain Relations & Elastic Constants - 1 - Mechanical Engineering MCQ

Test: Stress-Strain Relations & Elastic Constants - 1 - Mechanical Engineering MCQ


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10 Questions MCQ Test Strength of Materials (SOM) - Test: Stress-Strain Relations & Elastic Constants - 1

Test: Stress-Strain Relations & Elastic Constants - 1 for Mechanical Engineering 2024 is part of Strength of Materials (SOM) preparation. The Test: Stress-Strain Relations & Elastic Constants - 1 questions and answers have been prepared according to the Mechanical Engineering exam syllabus.The Test: Stress-Strain Relations & Elastic Constants - 1 MCQs are made for Mechanical Engineering 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Stress-Strain Relations & Elastic Constants - 1 below.
Solutions of Test: Stress-Strain Relations & Elastic Constants - 1 questions in English are available as part of our Strength of Materials (SOM) for Mechanical Engineering & Test: Stress-Strain Relations & Elastic Constants - 1 solutions in Hindi for Strength of Materials (SOM) course. Download more important topics, notes, lectures and mock test series for Mechanical Engineering Exam by signing up for free. Attempt Test: Stress-Strain Relations & Elastic Constants - 1 | 10 questions in 30 minutes | Mock test for Mechanical Engineering preparation | Free important questions MCQ to study Strength of Materials (SOM) for Mechanical Engineering Exam | Download free PDF with solutions
Test: Stress-Strain Relations & Elastic Constants - 1 - Question 1
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The independent elastic constants for homogeneous and isotropic material are

Detailed Solution for Test: Stress-Strain Relations & Elastic Constants - 1 - Question 1

Only two independent elastic constant are required to express the stress-strain relation for a linearly elastic, isotropic material. We can find third elastic constant and Poisson’s ratio for the material.

Test: Stress-Strain Relations & Elastic Constants - 1 - Question 2
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For a linearly elastic, isotropic and homogeneous material, the number of elastic constants required to relate stress to strain is

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Test: Stress-Strain Relations & Elastic Constants - 1 - Question 3
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If the Young’s modulus E is equal to bulk modulus K, then the value of Poisson’s ratio is

Detailed Solution for Test: Stress-Strain Relations & Elastic Constants - 1 - Question 3

E = 3 K ( 1 - 2 v) 
 (∴ E = K)

Test: Stress-Strain Relations & Elastic Constants - 1 - Question 4
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What will be the value of the Poisson’s ratio if the Youngs modulus E is equal to the bulk modulus K? 
Detailed Solution for Test: Stress-Strain Relations & Elastic Constants - 1 - Question 4

K = E / 3(1 – 2μ) 
Since K = E 
So (1-2μ) = 1/3 
Therefore, μ = 1/3.

Test: Stress-Strain Relations & Elastic Constants - 1 - Question 5
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A 50 cm long x 20 cm diameter cylinder of brass was subjected to a tensile load of 0.1 MN. The resulting increase in length and decrease in diameter were noted 1 mm and 0.1 mm respectively. Then the brass has a Poisson’s ratio equal to
Detailed Solution for Test: Stress-Strain Relations & Elastic Constants - 1 - Question 5


Test: Stress-Strain Relations & Elastic Constants - 1 - Question 6
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Consider a bar of length L, breadth B and thickness t subjeced to an axial pull or tension P. The resulting volumetric strain will be equal to
Detailed Solution for Test: Stress-Strain Relations & Elastic Constants - 1 - Question 6


where v is the Poisson’s ratio and ∈ is the longitudinal strain.

Test: Stress-Strain Relations & Elastic Constants - 1 - Question 7
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If E, G and K denote the Young’s modulus, modulus of rigidity and bulk modulus for an elastic material, then which one of the following can be possibly true?
Detailed Solution for Test: Stress-Strain Relations & Elastic Constants - 1 - Question 7

Most of the elastic material, 
v = 0.25 to 0.33
so, for v = 0.25, E = K x 3(1 - 0.5 ) = 1.5 K
and v = 0.33,
 (Possible relation)

Test: Stress-Strain Relations & Elastic Constants - 1 - Question 8
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A spherical ball of 0.5 x 103 mm3 volume is subjected to a volumetric stress of 0.5 MPa. If bulk modulus of the bail material is 16 GPa, the change in volume of the ball would be approximately equal to
Detailed Solution for Test: Stress-Strain Relations & Elastic Constants - 1 - Question 8

Bulk modulus

Test: Stress-Strain Relations & Elastic Constants - 1 - Question 9
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For an isotropic, homogeneous and elastic material obeying Hooke’s law, number of independent elastic constants are
Test: Stress-Strain Relations & Elastic Constants - 1 - Question 10
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The number of elastic constants for a completely anisotropic elastic material are
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