Volumetric Strain_S16

Shear modulus is the ratio of

• linear stress to linear strain

• linear stress to lateral strain

• volumetric strain to linear strain

• shear stress to shear strain

Ratio of longitudinal strain to lateral strain is ____

• Bulk Modulus

• Youngs Modulus

• Poision's Ratio

• 1 / Poisson's ratio

Ratio of hydro static pressure to volumetric strain is called

• Bulk Modulus

• Shear Modulus

• Modulus of Rigidity

• None of the choice

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

•  $E=3K\left(1-2v\right)$  

•  $E=2G\left(1+v\right)$  

•  $E=\frac{9KG}{3K+G}$  

• None of these

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

• $e_x\ =\ \frac{1}{E}\ \left(σ_x-v\left(σ_y\ +\ σ_z\right)\right)$

•  $e_y\ =\ \frac{1}{E}\ \left(σ_y+v\left(σ_x\ -\ σ_z\right)\right)$ 

• $e_z\ =\ \frac{1}{E}\ \left(σ_z-v\left(σ_x\ +\ σ_y\right)\right)$

• None of these

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)

• $\frac{e_y}{e_x}$

• $\frac{σ_x}{e_y}$

• $\frac{σ_x}{σ_y}$

• None of this

Choose the right formula for the figure shown.

• $e_V=\frac{\left(\sigma_x+\sigma_y+\sigma_z\right)}{E}\left(1-2\mu\right)$

• $e_V=\frac{\left(\sigma_x-\sigma_y-\sigma_z\right)}{E}\left(1-2\mu\right)$

• $e_V=\frac{\left(-\sigma_y-\sigma_z\right)}{E}\left(1-2\mu\right)$

• None of the choices

Choose the right formula for the figure shown.

• $e_V=\frac{\left(\sigma_x+\sigma_y+\sigma_z\right)}{E}\left(1-2\mu\right)$

• $e_V=\frac{\left(\sigma_x-\sigma_y-\sigma_z\right)}{E}\left(1-2\mu\right)$

• $e_V=\frac{\left(-\sigma_y-\sigma_z\right)}{E}\left(1-2\mu\right)$

• None of the choices

The formula for Bulk Modulus is

• $\frac{\sigma}{e_V}$

• $\frac{\tau}{e_V}$

• $\frac{\tau}{\phi}$

• $\frac{Volumetric\ Stress}{Volumetric\ strain}$

The formula for Shear Modulus is

• $\frac{\sigma}{e_V}$

• $\frac{\tau}{e_V}$

• $\frac{\tau}{\phi}$

• $\frac{Volumetric\ Stress}{Volumetric\ strain}$