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Volumetric Strain_S16

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

Shear modulus is the ratio of

a)

linear stress to linear strain

b)

linear stress to lateral strain

c)

volumetric strain to linear strain

d)

shear stress to shear strain

2.

Ratio of longitudinal strain to lateral strain is ____

a)

Bulk Modulus

b)

Youngs Modulus

c)

Poision's Ratio

d)

1 / Poisson's ratio

3.

Ratio of hydro static pressure to volumetric strain is called

a)

Bulk Modulus

b)

Shear Modulus

c)

Modulus of Rigidity

d)

None of the choice

4.

Which of the expression(s) for Relation between elastic constants are true? (Note: More than one choice could be true)

a)

 E=3K(12v)E=3K\left(1-2v\right)  

b)

 E=2G(1+v)E=2G\left(1+v\right)  

c)

 E=9KG3K+GE=\frac{9KG}{3K+G}  

d)

None of these

5.

Generalized Hooke's law for multi dimensional loading. Choose the correct experssion(s)

a)

ex = 1E (σxv(σy + σz))e_x\ =\ \frac{1}{E}\ \left(σ_x-v\left(σ_y\ +\ σ_z\right)\right)

b)

 ey = 1E (σy+v(σx  σz))e_y\ =\ \frac{1}{E}\ \left(σ_y+v\left(σ_x\ -\ σ_z\right)\right) 

c)

ez = 1E (σzv(σx + σy))e_z\ =\ \frac{1}{E}\ \left(σ_z-v\left(σ_x\ +\ σ_y\right)\right)

d)

None of these

6.

In the case of an engineering material under unidirectional stress in the x- direction,the Poisson's ratio is equal to (symbols have the usual meanings)

a)

eyex\frac{e_y}{e_x}

b)

σxey\frac{σ_x}{e_y}

c)

σxσy\frac{σ_x}{σ_y}

d)

None of this

7.

Choose the right formula for the figure shown.

a)

eV=(σx+σy+σz)E(12μ)e_V=\frac{\left(\sigma_x+\sigma_y+\sigma_z\right)}{E}\left(1-2\mu\right)

b)

eV=(σxσyσz)E(12μ)e_V=\frac{\left(\sigma_x-\sigma_y-\sigma_z\right)}{E}\left(1-2\mu\right)

c)

eV=(σyσz)E(12μ)e_V=\frac{\left(-\sigma_y-\sigma_z\right)}{E}\left(1-2\mu\right)

d)

None of the choices

8.

Choose the right formula for the figure shown.

a)

eV=(σx+σy+σz)E(12μ)e_V=\frac{\left(\sigma_x+\sigma_y+\sigma_z\right)}{E}\left(1-2\mu\right)

b)

eV=(σxσyσz)E(12μ)e_V=\frac{\left(\sigma_x-\sigma_y-\sigma_z\right)}{E}\left(1-2\mu\right)

c)

eV=(σyσz)E(12μ)e_V=\frac{\left(-\sigma_y-\sigma_z\right)}{E}\left(1-2\mu\right)

d)

None of the choices

9.

The formula for Bulk Modulus is

a)

σeV\frac{\sigma}{e_V}

b)

τeV\frac{\tau}{e_V}

c)

τϕ\frac{\tau}{\phi}

d)

Volumetric StressVolumetric strain\frac{Volumetric\ Stress}{Volumetric\ strain}

10.

The formula for Shear Modulus is

a)

σeV\frac{\sigma}{e_V}

b)

τeV\frac{\tau}{e_V}

c)

τϕ\frac{\tau}{\phi}

d)

Volumetric StressVolumetric strain\frac{Volumetric\ Stress}{Volumetric\ strain}