SECTION 1.4Elasticity, Plasticity, and Creep17Solution 1.4-2Steel bar in tensionssYAB0eReBeeEL52.0 m52000 mmYield stress sY5250 MPaSlope5200 GPad56.5 mmELASTIC RECOVERYeERESIDUAL STRAINeReR5eB2eE50.0032520.0012550.00200Permanent set5eRL5(0.00200)(2000 mm)54.0 mmFinal length of bar is 4.0 mm greater than its original length.eE5sBSlope5250MPa200GPa50.00125Problem 1.4-3An aluminum bar has length L5 4 ft anddiameter d 5 1.0 in. The stress-strain curve for the alu-minum is shown in Fig. 1-13 of Section 1.3. The initialstraight-line part of the curve has a slope (modulus of elas-ticity) of 10 3106psi. The bar is loaded by tensile forces P5 24 k and then unloaded. (a) What is the permanent set of the bar? (b) If the bar is reloaded, what is the proportional limit? (Hint: Use the concepts illustrated in Figs. 1-18b and1-19.)Solution 1.4-3
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Tensile strength, 4 ft, 6.5 mm, 4.0 mm, 0.00325