6-2. The inner diameter and thickness of an open water pipe are 6 in and 0.3 in, respectively. If the pipe carries flowing water at a pressure of , determine the distribution of the Hoop stress and Longitudinal stress in the walls of the pipe.

Solution:

Hoop Stress:

Since ,  also follows a normal distribution, and

Thus,  follows a normal distribution .                                                   Ans.

Longitudinal stress:   Since the pipe has open ends, there is no longitudinal stress.               Ans.