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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)
Correct Answer:
E = 2G (1 + v)
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
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
What will be the ratio of Youngs modulus to the modulus of rigidity of a material having Poissons ratio 0.25?
A
3.75
B
3.00
C
1.5
D
2.5
The Youngs modulus of elasticity of a material is 2.5 times its modulus of rigidity. Then what will be its Poissons ratio?
A
0.25
B
0.33
C
0.50
D
0.60
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)
The Poissons ratio of a material is 0.3. what will be the ratio of Youngs modulus to bulk modulus?
A
1.4
B
1.2
C
0.8
D
0.6
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
For a material, Youngs modulus is given as 1.2 x 105 and Poissons ratio 1/4. Calculate the bulk modulus.
A
0.7 x 105
B
0.8 x 105
C
1.2 x 105
D
1.2 x 105
In a material of pure shear stress τthe strain energy stored per unit volume in the elastic, homogeneous isotropic material having elastic constants E and v will be:
A
τ2/E x (1+ v)
B
τ2/E x (1+ v)
C
τ2/2E x (1+ v)
D
τ2/E x (2+ v)
The modulus of rigidity and the modulus of elasticity of a material are 80 GPa and 200 GPa. What will be the Poissons ratio of the material?
A
0.25
B
0.30
C
0.40
D
0.50