A uniform bar of length L, cross-sectional area A, and weight W is suspended ver

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A uniform bar of length L, cross-sectional area A, and weight W is suspended vertically from one end. Show that its total elongation is given by the expression W1/2AE. If is weight per unit volume is w, show also that its total elongation is wL2/2E. A steel rod having a cross-sectional area of 1/2 in 2 and a length of 600 feet is suspended vertically. It supports a load of 5000 pounds at the lower end. If steel weighs 490 lb/ft3 and E = 30,000,000 psi. find the total elongation of the rod. A tension specimen of 2014-T6 aluminum alloy has a gage length of 8 inches and a diameter of 0 5050 inches. A load of 9580 pounds was found to develop a stress in the specimen equal to the proportional limit of the material. (Assume for this problem that the proportional limit and yield strength are the same. ) At this load, the specimen has a deformed length of 8. 036 in and a diameter of 0. 5043 in. Determine the following material properties: modulus of elasticity (E), proportional limit (sigma c), and estimate Poisson's ratio (v). (Note that accurate measurements cannot be made for changes in diameter because of the short length; therefore. Poisson's ratio cannot be accurately determined using this specimen )

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