Problem Set 1

# Problem Set 1 - modulus of elasticity is 103 GPa(a What is...

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MECH 210 – Materials Science and Engineering Problem Set 01, Fall Semester 2008 Due Friday (9/5) 1. A cylindrical specimen of hot rolled C11000 copper alloy having a diameter of 19 mm and a length of 1.00 m is pulled in tension with 44,500 N force, producing only elastic deformation. Calculate (a) the resulting strain, (b) the true stress, (c) the true strain, (d) the amount of elongation, and (e) the change in cross sectional area when the force is applied. Properties of the copper alloy are tabulated in Appendix B of the textbook. 2. Calculate (a) the engineering normal stress and (b) the engineering shear stress for a plane at an angle of 30 ° with the applied tensile load for the specimen in Problem 1 . 3. For a brass alloy, the stress at which plastic (permanent) deformation begins is 345 MPa and the
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Unformatted text preview: modulus of elasticity is 103 GPa. (a) What is the maximum load (force) that may be applied to a rod specimen 12 mm in diameter without plastic deformation? (b) If the original specimen length is 76 mm, what is the maximum length to which it may be stretched without causing plastic deformation? 4. Given the tensile stress-strain curve in the elastic region of a gray cast iron, determine (a) the tangent modulus at 25 MPa, and (b) the secant modulus taken to 35 MPa. 5. Given the stress-strain curve of an alloy steel, determine (a) modulus of elasticity, (b) 0.2% offset yield strength, (c) tensile strength, (d) modulus of resilience, and (e) ductility in percent elongation. (f) What is the permanent strain when a tensile stress of 1800 MPa is applied and completely removed? 6. Determine the strain hardening exponent of the steel in Problem 5....
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