A cylindrical rod of copper (E = 110 GPa) having a yield strength of 442 MPa is to subjected to a load of 5,941 N.  If the length of the rod is 137 mm, what must be the diameter to allow an elongation of 0.16 mm?  Assume elastic loading.  Give your answer for diameter in mm with 2 decimal precision.  Use 3.14 for pi.

A wine of length L = 4 ft and diameter d = 0.125 in. is stretched by tensile forces P = 600 lb. The wire is made of a copper alloy having a stress-strain relationship that may be described mathematically by =18,0001+30000.03(=ksi) in which is nondimensional and has units of kips per square inch (ksi). (a) Construct a stress-strain diagram for the material. (bj Determine the elongation, of the wire due to the Forces P. (c) IF the forces are removed, what is the permanent set of the bar? (d) If the forces are applied again, what is the proportional limit?

You are given a square rod of 6061-T6 aluminum (cross-section = 4mm X 4mm, length = 2.3m).  The material has a Young’s modulus of 72 GPa.  If a tensile load of 3 kN is applied parallel to the 2.3m dimension, what is the change in length of the rod?

Question Two A steel flat of thickness 10 mm tapers uniformly from 60 mm at one end to 40 mm at other end in a length of 600 mm. If the bar is subjected to a load of 80 kN, find its extension. Take E = 2 x 10 MPa. What is the percentage error if average area is used for calculating extension?