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Homework 6-solutions - MAT 33 Fall 2007 Due 1 Homework#6...

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MAT 33 – Fall 2007 Homework #6 - Solutions Due: 10/22/07 1). A cylindrical rod 380mm long and having a diameter of 10mm is to be subjected to a tensile load. The rod is expected to experience neither plastic deformation nor an elongation of more than 0.9 mm when the applied load is 24,500N. Of the materials listed below, which are possible candidates? Justify your choice(s). Material Modulus of Elasticity (GPa) Yield Strength (MPa) Tensile Strength (MPa) Aluminum alloy 70 255 420 Brass alloy 100 345 420 Copper 110 250 290 Steel alloy 207 450 550
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2.) A cylindrical specimen of some metal alloy 10mm in diameter is stressed elastically in tension. A force of 15,000N produces a reduction in specimen diameter of 7 x 10 -3 mm. Calculate Poisson’s ratio for this material if its Modulus of Elasticity is 100GPa. Explain your reasoning.
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3.) A cylindrical specimen of some hypothetical alloy is stressed in compression. If its original and final diameters are 30.00 and 30.04mm respectively, and its final length is 105.20 mm, calculate its original length if the deformation is totally elastic. The elastic and shear moduli for this material are 65.5 and 25.4 GPa respectively.
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4.)
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