352Hw6

# 352Hw6 - AAE 352 Homework#6 Due Problem 1(a A panel has a...

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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 (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 Problem 1(a A panel has a...

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