The figure shows a section of a prismatic bar. The stresses labeled sigma on a section labeled a a are directed rightwards. The load on the left end of the bar is directed leftwards
 

Consider a bar subjected to an axial force P. Force P is applied at the centroid of the bar. The cross-sectional area of the bar is A.

To investigate the stresses that are acting internally in the material, we will cut through the bar at a-a.

The free-body diagram at section a-a exposes the internal forces that are distributed over the cut section of the bar.