indrical body is subject to radial d circumferential stress. The radia ress varies with the radius by orr = Or with units of MPa. What is the rcumferential stress at a point wher = 1 meter?

ante y se IN.. is). Pressure vessels are very common in many industries. The purpose of this exercise is to examine how stresses evolve within the walls of a pressure vessel as a function of position within the wall and wall thickness. Recall the thick-walled cylinder solution developed in class. Re-write the solution to the case of a thick-walled cylinder with inner radius a, outer radius b, internal pressure p₁, and external pressure, p2. Orr σαθ a²p₁b²p2 (6² - a²) a²p₁-b²p2 (6²-a²) axis + 1 (a) Draw a diagram showing the evolution of orr and σ00 from a to b when a/b=0.5 and P2 = 0. (P2 - P₁)a²6² 1 (6²-a²) 2¹ (P2 - P₁)a²6² 1 (b²-a²) 2 (b) Make the assumption that p2 = 0, a + b 2r, bat, and abr to derive the expression for rr and 000 for a thin-walled pressure vessel. For a sanity check, your solution should be orr = 0 and 000 = pir/t. t (c) Now consider the classical strength of materials approach to pressure vessels. Imagine the pressure vessel shown in Fig. 2 (note, the radius of…

Consider a circular plate that has a uniform pressure along the top surface and a fixed support on the edge around the perimeter, as shown. What would be the most efficient model to use to analyze the stress in the plate? O 3D model O Shell model O Plane stress model O Axisymmetric model TTTTT 7777