Example problem 7.4: Reconsider the tension test in example problem 5.3. Let n= 0.226 and m=0.012 (typical values for low carbon steel) and let f=0.98 as in the previous problem. Calculate the strain, a, in the region with the larger diameter if the bar necks to a 25% reduction of area (b=ln(4/3)=0.288. SOLUTION: Substituting into Equation (7.12), 0aexp(a/m)an/mda=f1/mobexp(b/m)bn/mdb0aexp(83.33a)a18.83da=0.15870bexp(83.33b)b18.83db. Numerical integration of the right-hand side gives 0.02185 . The left-hand side has the same value when a=0.2625. The loss of elongation in the thicker section is much less than that in Example Problem 5.3, where it was found that a=0.195 with n=0.226 and m=0