Using your favorite CAE package, determine the maximum stress and the stress distribution in the bracket. Also determine the maximum displacement at the right end of the cantilever beam. Part B....

Using your favorite CAE package, determine the maximum stress and the stress distribution in the bracket. Also determine the maximum displacement at the right end of the cantilever beam. Part B. Justify the maximum displacement found in Part A with two simplified hand calculations: 1) ignoring the angled support leg, and 2) accounting for the angled support leg by only considering the deflection of the cantilever beam to the right of this support leg. Discuss the sensibility of your results. Part C. Using the techniques of E126 Mechanics of Solids, you are asked to analyze the top cantilever beam portion of the bracket. We will need to make the following simplifications: 1) ignore the vertical component of the bracket against the wall, 2) assume the diagonal element of the bracket is a two-force member, 3) treat the left end of the upper cantilever beam as a pinned boundary condition (i.e. cannot support a moment). Using these assumptions, draw the shear force and bending moment diagram. Calculate the maximum bending stress in the cantilever beam portion of the bracket, and compare to the values obtained in Part A. Be sure to clearly discuss which stresses from Part A you are using for the comparison. Are these results sensible? (Use an Appendix as appropriate to show your work here.) Part D. Assuming a Factor of Safety of 2.5, optimize the weight of the bracket with and without the bottom diagonal support leg. In both cases, the load q, the overall length of the beam (from the wall to the right end of the beam; i.e. c + d + e as shown in Figure 1), and the thickness (into the page) remain the same. Discuss which materials you would recommend to be considered for the bracket (i.e. at least one specific type of metal and plastic; same material to be used for the entire bracket) and why your results are sensible. Show the optimized geometry for each material and clearly show the optimal weight. Part E. Verify your analysis of Parts A and D using a different CAE software package. (You do not necessarily need to do an optimization in the new CAE software package.) Comment on any similarities and differences in your results for the different CAE packages