Solved Problems

Problem: A cylindrical steel water tank has an internal diameter of 4 m and a wall thickness of 12 mm. If the tank is pressurized to 1.5 MPa, determine the tangential and longitudinal stresses.

Problem: A spherical gas tank is to be designed to hold gas at a pressure of 3 MPa. The tank will have an inner diameter of 3 m. If the allowable tensile stress of the material is 120 MPa and the joint efficiency is 80%, determine the required wall thickness.

Problem: A cylindrical tank with a diameter of 1.5 m is subjected to an internal pressure of 2 MPa. The material has an allowable stress of 140 MPa. The longitudinal joint efficiency is 75% ($\eta_l$) and the circumferential joint efficiency is 85% ($\eta_c$). Determine the required wall thickness.

Problem: A closed cylindrical tank is $2 \text{ m}$ in diameter and has walls $10 \text{ mm}$ thick. If the internal pressure is $1.2 \text{ MPa}$, calculate the total longitudinal force acting on the end caps.

Problem: A thick-walled steel pipe has an inner radius of $200 \text{ mm}$ and an outer radius of $300 \text{ mm}$. It is subjected to an internal fluid pressure of $40 \text{ MPa}$ and zero external pressure. Determine the maximum tangential (hoop) stress and the maximum radial stress in the pipe wall.