The relation between Young's modulus (E), shear modulus (C) and bulk modulus (K) is given by

A $${\text{E}} = \frac{{3{\text{KC}}}}{{3{\text{K}} + {\text{C}}}}$$
B $${\text{E}} = \frac{{6{\text{KC}}}}{{3{\text{K}} + {\text{C}}}}$$
C $${\text{E}} = \frac{{9{\text{KC}}}}{{3{\text{K}} + {\text{C}}}}$$
D $${\text{E}} = \frac{{12{\text{KC}}}}{{3{\text{K}} + {\text{C}}}}$$

Correct Answer: $${\text{E}} = \frac{{9{\text{KC}}}}{{3{\text{K}} + {\text{C}}}}$$

Bissoy MCQ
#Mechanical Engineering #Strength Of Materials In ME

Related Questions

The relation between Young's modulus (E) and bulk modulus (K) is given by
A $${\text{K}} = \frac{{3{\text{m}} - 2}}{{{\text{mE}}}}$$
B $${\text{K}} = \frac{{{\text{mE}}}}{{3{\text{m}} - 2}}$$
C $${\text{K}} = \frac{{3\left( {{\text{m}} - 2} \right)}}{{{\text{mE}}}}$$
D $${\text{K}} = \frac{{{\text{mE}}}}{{3\left( {{\text{m}} - 2} \right)}}$$
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 $$\frac{{3{\text{C}}}}{2}$$
The strain energy stored in a body due to shear stress, is (where $$\tau $$ = Shear stress, C = Shear modulus and V = Volume of the body)
A $$\frac{{\tau {\text{V}}}}{{2{\text{C}}}}$$
B $$\frac{{2{\text{C}}}}{{\tau {\text{V}}}}$$
C $$\frac{{{\tau ^2}{\text{V}}}}{{2{\text{C}}}}$$
D $$\frac{{2{\text{C}}}}{{{\tau ^2}{\text{V}}}}$$
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)
The ratio of shear modulus to the modulus of elasticity for a poisson's ratio of 0.4 will be
A 14/5
B 7/5
C 5/14
D 5/7
The shear modulus of most materials with respect to the modulus of elasticity is
A Equal to half
B Less than half
C More than half
D None of these
The bulk modulus of elasticity of a liquid
A Is zero for incompressible liquid
B Decreases with pressure
C Is independent of temperature & pressure
D Increases with pressure
For an incompressible fluid, the bulk modulus of elasticity is
A 5 kg/m3
B $$\infty $$ N/m2
C 1 N
D 0 N/m
Bulk modulus of a fluid is the ratio of
A Shear stress to shear strain
B Increase in volume to the viscosity of fluid
C Increase in pressure to the volumetric strain
D Critical velocity to the viscosity of fluid
Bulk modulus of a fluid __________ as the pressure increases.
A Remain same
B Decreases
C Increases
D None of these

Next steps