In the analysis of strength of materials, stress ? is defined as the applied load P over the area of application A according to ? = P/A while the strain ? is defined as the elongation or stretching ? divided by the original length L?. The material property “modulus of elasticity,” E, is like a spring constant in Hooke’s Law and is defined according to ? = E?. A supporting steel beam originally of length L? = 4.0 ft has a load of P = 140 thousand pound-force applied to it axially over a cross-sectional area A of 12.37 square-inches which results in an elongation of 0.018 inches. Determine the following: (a) The stress, in ksi (thousand-pound-force per square-inch) and in MPa. (b) The strain ? as a percentage. What are the units for strain? How do you know? (c) The modulus of elasticity, E, in ksi and MPa.
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