Define strain and explain the types of strain.

Explanation

Strain : Strain is defined as deformation pro-
duced per unit dimension. It is a ratio. So no
units.
`"Strain (e) "=("Elongation")/("Original length")=(DeltaL)/(L).`
Types of strain : Strain is of three types.
They are : 1) Longitudinal strain 2) Tangential
strain or Shear strain 3) Volumetric strain.
Longitudinal strain : The ratio of elongation
to original length along length wise direction
is defined as longitudinal strain.
Longitudinal strain
`e=("elongation in length")/("original length")=(Deltal)/(V)`
Bulk strain =Change in volume per unit
`"volume"=("Change in volume")/("Original volume")=(DeltaV)/(V)`
Shearing strain : If the force applied on a
body produces a change in shape only it is
called shearing force. The angle through
which a plane originally perpendicular to
the fexed surface shifts due to the applica -
tion of shearing stress is called shearing
strain or simply shear `(theta).`

`"Shear strain"=theta=((Deltal)/(l))=tantheta=theta,`
(sincer`theta` is very small. `tantheta=theta`