01-01ChapGere.0017

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SECTION 1.4 Elasticity, Plasticity, and Creep 17 Solution 1.4-2 Steel bar in tension s s Y AB 0 e R e B e e E L 5 2.0 m 5 2000 mm Yield stress s Y 5 250 MPa Slope 5 200 GPa d 5 6.5 mm E LASTIC RECOVERY e E R ESIDUAL STRAIN e R e R 5 e B 2 e E 5 0.00325 2 0.00125 5 0.00200 Permanent set 5 e R L 5 (0.00200)(2000 mm) 5 4.0 mm Final length of bar is 4.0 mm greater than its original length. e E 5 s B Slope 5 250 MPa 200 GPa 5 0.00125 Problem 1.4-3 An aluminum bar has length L 5 4 ft and diameter d 5 1.0 in. The stress-strain curve for the alu- minum is shown in Fig. 1-13 of Section 1.3. The initial straight-line part of the curve has a slope (modulus of elas- ticity) of 10 3 10 6 psi. The bar is loaded by tensile forces P 5 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 and 1-19.) Solution 1.4-3
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