Module 1 : Brief Introduction
  Lecture 2: Stress
 

The stress equations of motion and equilibrium:

Consider equation 2.5 and 2.7, the stress equilibrium relation can be obtained as

Using Gauss's transformation, the surface integral can be transformed into a volume integral as

The integration can be taken through any volume within the body and it can not be satisfied, if the integrand is not zero at every point, so that

(2.10)

If the body is held in equilibrium, then the equations of equilibrium are

(2.11)

If, the body has not yet reached equilibrium, then the acceleration at any point

(2.12)