In the context of machine design, explain what is meant by the terms failure and failure mode. List out the factors involved in arriving at factor of safety (FOS). A tension test on a 0.505-inch diameter specimen of circular cross section was performed, and the data shown were recorded during the test. a. Plot the engineering stress-strain curve for the material. b. Determine the nominal yield strength. c. Determine the nominal ultimate strength. d. Determine the approximate modulus of elasticity. e. Using the available data and the stress-strain curve, make your best guess as to what type of material the specimen was manufactured form. f. Estimate the axially applied tensile load that would correspond to yielding of a 2-inch diameter bar of the same material. g. Estimate the axially applied load that would be required to produce ductile rupture of the 2-inch bar. h. Estimate the axial spring rate of the 2-inch bar if it is 2 feet long.