ME 212 Lecture Notes - Lecture 3: Free Body Diagram, Pressure Vessel, Stress (Mechanics)
Document Summary
A tank or pipe carrying a fluid or gas under a pressure is subjected to tensile forces, which resist bursting, developed across longitudinal and transverse sections. Consider the tank shown being subjected to an internal pressure p. the length of the tank is l and the wall thickness is t. isolating the right half of the tank: Consider the free body diagram in the transverse section of the tank: The total force acting at the rear of the tank f must equal to the total longitudinal stress on the wall pt = (cid:305)l awall. Since t is so small compared to d, the area of the wall is close to (cid:652)dt. If there exist an external pressure po and an internal pressure pi, the formula may be expressed as: It can be observed that the tangential stress is twice that of the longitudinal stress.
