Volume Strain

Show that the volume that the volume strain in any longitudinal wave is given by (-dy/dx), where y is the displacement at the plane x. Hence show that for a harmonic wave of amplitude A and wavelength lambda in a medium of elasticity E, the excess pressure is given by p=EA(2pi)/(lambda)sin2pi((t)/(T) - (x)/(lambda)) Deduce the pressure amplitude, if E=1.6xx10^(3)Nm^(-2), A=4xx10^(-7)m and lambda=0.5m .

Elasticity: Longitudinal Stress & strain | Shear stress & shear strain | Volumetric stress and strain

Assertion (A): In Griffith's experiment, the dead R strain bacteria was capable of causing the transformation of the live S-strain bacteria. Reason(R): The S-strain is non-virulent strain.

Shear Strain

Derive an expression for strain energy and show that the strain energy per unit volume of a stretched wire is proportional to the square of the strain.

The elastic energy per unit volume is terms of longitudinal strain sigma and Young's modulus Y is

A metallic rod undergoes a strain of 0.5% . The energy stroed per unit volume is

Assertion : Strain is a unitless quantity. Reason : Strain is equivalent to force