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(a) Consider a bar of constant cross-sectional area A, length L and mass density

ID: 1856010 • Letter: #

Question

(a) Consider a bar of constant cross-sectional area A, length L and mass density ?. The bar is supported at the top end while the bottom end is free. As discussed in the class, the normal stress in the bar (along the length of the bar) varies from cross-section to cross-section with the maximum being at the very top. Determine the minimum length of the bar that causes the stress in the bar to reach the yield stress ?Y . (b) Next, rank the materials given in the following table according to the lengths determined from part (a). Note that the properties of these materials are given in the appendix of the textbook. Material Rank Aluminum Alloy 2014 Red Brass C23000 Malleable Cast Iron Structural Steel AISI 1020 CR Titanium

Explanation / Answer

Y=P/A P=rho*L*A L=AY/(rho*A)