1 Stability of Engineering Structures Spring 2013 Project 4 Subjects: Stability of cylindrical shells; design of beam-columns. In this project we consider two very different problems. First, we design cylindrical shells subjected to hydrostatic pressure. We consider two possible modes of failure, i.e. the loss of stability and failure due to the loss of strength. The second part of the project deals with design of beam-columns. These structures subject to a combination of transverse and compressive loads do not become unstable in the classical sense, but they fail due to excessive deformations and stresses (i.e., the loss of strength). Part 1 Design a submersible vehicle capable of operating at the maximum depth prescribed in the project. The vehicle represents a cylindrical shell with spheroidal ends caps (you do not have to design the caps). When subject to hydrostatic pressure, the caps transmit the axial force to the shell that is also loaded by lateral pressure. Given: Design depth (it varies from 100m to 2,500m), length and outer radius of shell. Your task: Choose the material (it has to be a metal), prescribe the required thickness of the shell. Present the result in the form of the required thickness as a function of the design depth (vary the depth in 100 meter intervals from 100m to 2,500m). You must show the check for strength and stability and conclude which of these failure modes is critical for your design at various depths. Modes of failure: Buckling, loss of strength. Comments: Compare several metals as candidates for the vehicle and justify your choice. As is the case in real life, you have to find the material properties from published data or on the web. The weight of the vehicle is an important consideration. Thus, try to reduce it be able to increase the useful weight of equipment and cargo. Use the factor of safety equal to 1.0 for all failure modes (the design depth specified in your variant would be reduced by a certain factor to arrive at…