Assignment_6 - Attach an image of the deformed shape with...

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1 MAE157 – Lightweight structures (Winter 09) Homework Assignment #6 Due in the drop box by 1pm on Friday, March 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 non-symmetric T cross section is loaded with a distributed line load as shown in the sketch below. Model the problem using ABAQUS as we did in class, and plot the following: (a) normal stress distribution ! z on the top face (at the intersection of flange and web) as a function of z (b) shear stress distribution along the flange and the web at the cross-section z=0.5m. Compare the numerical answer with the analytical results we have derived in class.
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Unformatted text preview: Attach an image of the deformed shape with the Mises stress contour. L = 1 m ; w = 1000 N / m ; h = 10 cm ; t = 3 mm ; E = 70 GPa ; G = 27 GPa ; = 0.3 Problem 2 An Aluminum cantilever beam with a square box cross section is loaded with a concentrated load as shown in the sketch below. Model the problem using ABAQUS, and plot the following: (c) normal stress distribution z on the center-point of the top face as a function of z 2 (d) shear stress distribution along the two flanges and the two webs at the cross-section z=0.5m. Compare the numerical answer with the analytical results we have derived in class. Attach an image of the deformed shape with the Mises stress contour. E = 70 GPa ; G = 27 GPa ; ! = 0.3...
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