A machine part is made of annealed steel after 20\% cold-work operation. Before the cold
working, the steel has a tensile yield strength of 32 ksi and an ultimate tensile strength of 50 ksi
with strain hardening exponent 0.25, strength coefficient 90 ksi and fracture strain 1.05. Please
determine: (a) the new yield strength and ultimate strength after the cold-work operation, (b)
the ratios of ultimate strength to yield strength before and after the cold working, and (c) the
change in the steel ductility after the cold work operation.