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1、APPENDIX AADDITIONAL EXERCISESAPPENDIX A ADDITIONAL EXERCISESThe following exercises are provided for the advanced user who would like to practice on more practical engineering problems. The descriptions are intentionally brief without the step-by-step description provided in the first set of exerci
2、ses. For the problems in this appendix, the user is expected to run the complete analysis and verify the results provided. Some of the problems have theoretical and text book results provided, and others the results are obtained from making a Patran model and running an analysis. (Hint: dont be surp
3、rised if you cant get the textbook answers). Either way, a description as to the source of the solution is provided. Users should not attempt these exercises unless they can construct geometry, create a finite element mesh, apply loads, materials and element properties, run the analysis and post-pro
4、cess the results, or if they are willing to make a few mistakes and take a few wrong turns while trying. Patran is intended to be self-explanatory, so it is okay to explore and try different techniques to complete each exercise, especially with a qualified instructor present to help. An experienced
5、Patran modeler should take no longer than 15 minutes to complete each problem, including the analysis.APPENDIX A ADDITIONAL EXERCISESPlate with Circular Hole: This exercise will illustrate the effects of a stress concentration factor. The model is a flat plate with a circular hole in the middle.Thin
6、gs to learn:Model constraintsDiscretization errorModel: Thickness = 0.125 in.E = 30,000,000 psiPoisson Ratio = 0.3 Answer:(Theory of Elasticity, Timoshenko & Goodier, 3rd edition, page 95):The answer given is the maximum at two points on the plate (Where?).APPENDIX A ADDITIONAL EXERCISESCantilever B
7、eam: The classic cantilever beam is the model most studied in “Strength of Materials” in college. A seemingly simple problem, it is rich in underlying theory and surprisingly hard to model with the finite element method.Model: E = 10,000,000 psi Poisson Ratio = 0.3Hints: Compare results for beam and
8、 solid elements.APPENDIX A ADDITIONAL EXERCISESAnswer:APPENDIX A ADDITIONAL EXERCISESAPPENDIX A ADDITIONAL EXERCISESCoffee Cup: The coffee cup is a “real-life” problem which requires using a field to define the fluid pressure load.Cup:t = 1/8 in.E = 470,000 psiPoisson Ratio = 0.333Coffee: Density =
9、0.0362Answer:APPENDIX A ADDITIONAL EXERCISESMailbox: The geometry and corresponding finite element model is to be created. The loading, i.e. wind (pressure), earthquake, is to be specified by the user. An analysis is to be performed, and the solution results processed in Patran.APPENDIX A ADDITIONAL EXERCISES0.25 typical40.5854311.520219.5Closed endOpen end6 fastener locations(3 per side)AView AE = 30E6 psin = 0.3t = 0.0625 inAll dimensions are inc
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