Assignment_3 - MAE157 Lightweight structures(Winter 09...

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1 MAE157 – Lightweight structures (Winter 09) Homework Assignment #3 Due in the drop box by 1pm on Friday, February 6, 2009 Solve the four following problems. For each problem, provide a detailed explanation of all the steps involved. Problem 1 An Aluminum cantilever beam with a T cross section is loaded as shown in the sketch below. What is the minimum thickness t (assumed constant along z – i.e. the beam is not tapered) that ensures that the beam doesn’t fail? Assume that failure occurs when the maximum stress reaches the yield strength of the material (300 MPa). L = 1 m ; P = 1000 N ; Q = 2000 N ; a = 5 cm Problem 2 Verify the accuracy of your answer in problem 1 using ABAQUS. (a) Set up the problem in ABAQUS using the value of t you obtained from problem 1 and assuming that Aluminum is an elastic material, with E=70GPa and ! = 0.3 (b) Run the analysis (c) Locate the maximum stress and verify that is close to the yield strength of the material Turn in the input file that is generated when you submit the analysis (filename.inp) as well as a plot of the stress on the top and bottom fibers along the length of the beam (you can use excel or any other program to generate the plot).
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