Final answer:
The maximum normal stress in the tank is calculated using the hoop stress formula, while the maximum shearing stress is found from the applied torque using the related stress formula.
Step-by-step explanation:
The question asks to determine the maximum normal stress and the maximum shearing stress in a tank subjected to a torque of magnitude t = 12 kN·m and an internal pressure of 8 MPa. The tank has a 180-mm inner diameter and a 12-mm wall thickness.
To find the maximum normal stress (σmax), we consider the hoop stress caused by the internal pressure. The hoop stress is given by σhoop = Pd / 2t, where P is the internal pressure, d is the inner diameter, and t is the wall thickness. The maximum shearing stress (τmax), on the other hand, can be found from the applied torque using the formula τmax = T / (2π * ro3 * t), where T is the applied torque, and ro is the outer radius of the tank. The fluid pressure inside the tank is exerted perpendicularly to the surfaces and doesn't cause shearing stress directly.