If E, N, K and $$\frac{1}{{\text{m}}}$$ are modulus of elasticity, modulus of rigidity. Bulk modulus and Poisson ratio of the material, the following relationship holds good

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

1/7

B

2/7

C

3/7

D

4/7

If E, G and K denote Young’s modulus of elasticity, Modulus of rigidity and Bulk modulus, respectively, for an elastic material then which one of the following can be possibly true?

A

G = 2K

B

G = E

C

K = E

D

G = K = E

If the modulus of elasticity for a given material is twice its modulus of rigidity, then bulk modulus is equal to

A

2C

B

3C

C

$$\frac{{2{\text{C}}}}{3}$$

D

$$\frac{{3{\text{C}}}}{2}$$

Which of the following equations give the relation between material properties like modulus of elasticity (E), modulus of rigidity (G), and Poisson’s ratio (u)?

A

E = 2*G*(1+u)

B

E = 3*G*(1+u)

C

E = 2*G*(1-u)

D

E = 3*G*(1-u)

Which of the following relationships is correct for relating the three elastic constants of an isotropic elastic material (where, E = Young's modulus, G = Modulus of rigidity or shear modulus v = Poisson's ratio)?

A

E = 2G (1 + v)

B

E = G (1 + v)

C

$${\text{E}} = \frac{{{\text{G}}\left( {1 + {\text{v}}} \right)}}{2}$$

D

E = 2G (1 + 2v)

If the modulus of elasticity is 130 GPa and Poisson’s ratio is 0.3 of steel then what will be the approximate value of modulus of rigidity of steel in MPa?

A

110000

B

50

C

50000

D

110

Determine the Poissons ratio and bulk modulus of a material, for which Youngs modulus is 1.2 and modulus of rigidity is 4.8.

A

7

B

8

C

9

D

10

The Young's modulus of a material is 125 GPa and Poisson’s ratio is 0.25. The modulus of rigidity of me material is

A

30 GPa

B

50 GPa

C

80 GPa

D

100 GPa

E, G, K and μ elastic modulus, shear modulus, bulk modulus and Poisson’s ratio respectively. To express the stress strain relations completely for this material, at least __________

A

E, G and μmust be known

B

E, K and μmust be known

C

Any two of the four must be known

D

All the four must be known

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)

If E, N, K and $$\frac{1}{{\text{m}}}$$ are modulus of elasticity, modulus of rigidity. Bulk modulus and Poisson ratio of the material, the following relationship holds good

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