(Solved): A cylindrical rod \( 150 \mathrm{~mm} \) long and having a diameter of \( 15 \mathrm{~mm} \) is to ...

A cylindrical rod \( 150 \mathrm{~mm} \) long and having a diameter of \( 15 \mathrm{~mm} \) is to be deformed using a tensile load of \( 28,500 \mathrm{~N} \). It must not experience either plastic deformation or a diameter reduction of more than \( 7.5 \times 10^{-3} \mathrm{~mm} \). Of the following materials listed, which are possible candidates? Justify your choice in 2 sentences. (4 points) 2. A cylindrical specimen of some metal alloy \( 10 \mathrm{~mm} \) in diameter and \( 150 \mathrm{~mm} \) long has a modulus of elasticity of \( 100 \mathrm{GPa} \). Does it seem reasonable to expect a tensile stress of \( 200 \mathrm{MPa} \) to produce a reduction in specimen diameter of \( 0.08 \mathrm{~mm} \) ? Assume that the deformation is totally elastic. Support your answer with calculations. (4 points) 3. What is the Brinell hardness (in HB) for a typical steel that has a tensile strength of \( 610 \mathrm{MPa} \) ? (2) points) 4. Each of the rods depicted below were machined from same stock metal. If the same force is applied axially to each rod, which one will experience the highest stress? Write 1 to 2 sentences to explain. (2 points) produce a reduction in specimen diameter of U.U8 \( \mathrm{mm} \) ? Assume that the derormation is totally elastic. Support your answer with calculations. (4 points) 3. What is the Brinell hardness (in HB) for a typical steel that has a tensile strength of \( 610 \mathrm{MPa} \) ? (2 points) 4. Each of the rods depicted below were machined from same stock metal. If the same force is applied axially to each rod, which one will experience the highest stress? Write 1 to 2 sentences to explain. (2 points)