352Hw6 - AAE 352 Homework #6 Due: October 24, 2011 Problem...

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Unformatted text preview: AAE 352 Homework #6 Due: October 24, 2011 Problem 1 (a) A panel has a fixed width, b , and length, L . The thickness is h . The moment of inertia for calculating the bending stress is I = bh 3 /12 . The maximum bending moment applied to the beam is M max . If the beam stress cannot exceed the yield stress, derive the material index to help us choose the lightest weight material. (b) The beam has a rectangular cross-section with the width b always being 3 times the height, h . For the same conditions as part (a), find the material index that helps us choose the minimum weight beam. Problem 2 The cantilever beams shown in Figure 1 have square cross-sections and are loaded by a single concentrated load at the tip or by its own weight. The end deflection for the cantilever beam in the top figure under its own weight is given as (a) Show that the material index for the lightest cantilever beam of length L with a square cross section (the area is a free variable) that will not deflect by more than...
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352Hw6 - AAE 352 Homework #6 Due: October 24, 2011 Problem...

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