Elastic Constants MCQ Questions & Answers

Elastic Constants MCQs : This section focuses on the "Elastic Constants". These Multiple Choice Questions (MCQs) should be practiced to improve the Elastic Constants skills required for various interviews (campus interview, walk-in interview, company interview), placement, entrance exam and other competitive examinations.

Question 1

A rod of length L and diameter D is subjected to a tensile load P. which of the following is sufficient to calculate the resulting change in diameter?

A. Youngs modulus

B. Poissons ratio

C. Shear modulus

D. Both Youngs modulus and shear modulus

Question 2

Calculate the modulus of resilience for a 2m long bar which extends 2mm under limiting axial stress of 200 N/mm2?

A. 0.01

B. 0.2

C. 0.1

D. 0.02

Question 3

How can be the Poissons ratio be expressed in terms of bulk modulus(K) and modulus of rigidity(G)?

A. (3K - 4G) / (6K + 4G)

B. (3K + 4G) /( 6K - 4G)

C. (3K - 2G) / (6K + 2G)

D. (3K + 2G) / (6K - 2G)

Question 4

How many elastic constants of a linear, elastic, isotropic material will be?

A. 2

B. 3

C. 1

D. 4

Question 5

How many elastic constants of a non homogeneous, non isotropic material will be?

A. 9

B. 15

C. 20

D. 21

Question 6

If a material had a modulus of elasticity of 2.1 kgf/cm2 and a modulus of rigidity of 0.8 kgf/cm2 then what will be the approximate value of the Poissons ratio?

A. 0.26

B. 0.31

C. 0.47

D. 0.43

Question 7

If E,G and K have their usual meanings, for an elastic material, then which one of the following be possibly true?

A. G = 2K

B. G = K

C. K = E

D. G = E = K

Question 8

In an experiment, the bulk modulus of elasticity of a material is twice its modulus of rigidity. The Poissons ratio of the material is ___________

A. 07-Jan

B. 07-Feb

C. 07-Mar

D. 07-Apr

Question 9

The relationship between Youngs modulus E, bulk modulus K if the value of Poissons ratio is unity will be __________

A. E = -3K

B. K = -3E

C. E = 0

D. K = 0

Question 10

What is the expression for modulus of rigidity in terms of modulus of elasticity and the Poissons ratio?

A. G = 3E / 2(1 + Î¼)

B. G = 5E / (1 + Î¼)

C. G = E / 2(1 + Î¼)

D. G = E/ (1 + 2Î¼)

Question 11

What is the limiting values of Poisson's ratio?

A. -1 and 0.5

B. -1 and -0.5

C. -1 and -0.5

D. 0 and 0.5

Question 12

What is the ratio of Youngs modulus E to shear modulus G in terms of Poissons ratio?

A. 2(1 + Î¼)

B. 2(1 - Î¼)

C. 1/2 (1 - Î¼)

D. 1/2 (1 + Î¼)

Question 13

What is the relationship between modulus of elasticity and modulus of rigidity?

A. C = E / 2(1 + Î¼)

B. C = E / (1 + Î¼)

C. C = 2E / (1 + Î¼)

D. C = 2E / 2(1 + Î¼)

Question 14

What is the relationship between the linear elastic properties Youngs modulus, bulk modulus and rigidity modulus?

A. 1/E = 9/k + 3/G

B. 9/E = 3/K + 1/G

C. 3/E = 9/K + 1/G

D. 9/E = 1/K + 3/G

Question 15

What is the relationship between Youngs modulus E, modulus of rigidity C, and bulk modulus K?

A. E = 9KC / (3K + C)

B. E = 9KC / (9K + C)

C. E = 3KC / (3K + C)

D. E = 3KC / (9K + C)

Question 16

Which of the relationship between E, G and K is true, where E, G and K have their usual meanings?

A. E = 9KC / (3K + C)

B. E = 9KC / (9K + C)

C. E = 3KC / (9K + C)

D. E = 3KC / (3K + C)

Question 17

Youngs modulus of elasticity and Poissons ratio of a material are 1.25 x 102 MPa and 0.34 respectively. The modulus of rigidity of the material is __________

A. 0.9469 MPa

B. 0.8375 MPa

C. 0.4664 MPa

D. 0.4025 MPa

Question 18

How can be the Poissons ratio be expressed in terms of bulk modulus(K) and modulus of rigidity(G)?

A. (3K – 4G) / (6K + 4G)

B. (3K + 4G) /( 6K – 4G)

C. (3K – 2G) / (6K + 2G)

D. (3K + 2G) / (6K – 2G)

Question 19

In an experiment, the bulk modulus of elasticity of a material is twice its modulus of rigidity. The Poissons ratio of the material is ___________

A. 01-Jul

B. 02-Jul

C. 03-Jul

D. 04-Jul

Question 20

What is the expression for modulus of rigidity in terms of modulus of elasticity and the Poissons ratio?

A. G = 3E / 2(1 + μ)

B. G = 5E / (1 + μ)

C. G = E / 2(1 + μ)

D. G = E/ (1 + 2μ)

Question 21

What is the limiting values of Poisson’s ratio?

A. -1 and 0.5

B. -1 and -0.5

C. -1 and -0.5

D. 0 and 0.5

Question 22

What is the ratio of Youngs modulus E to shear modulus G in terms of Poissons ratio?

A. 2(1 + μ)

B. 2(1 – μ)

C. 1/2 (1 – μ)

D. 1/2 (1 + μ)

Question 23

What is the relationship between modulus of elasticity and modulus of rigidity?

A. C = E / 2(1 + μ)

B. C = E / (1 + μ)

C. C = 2E / (1 + μ)

D. C = 2E / 2(1 + μ)