<p>Steel Tensile Testing Calculation Sheet UTK Governor’s School June 2013</p><p>The following calculations need to be performed on annealed and cold-rolled 1045 carbon steel tensile data:</p><p>. Calculate engineering stress, s, and engineering strain, e, for each data point of load, </p><p>P, and extension, x. is the initial gage length and is the initial cross-sectional area of the specimen.</p><p>. Identify the ultimate tensile strength (UTS) and failure strain from a plot of engineering strain versus engineering stress. Using the failure strain, compare the ductility of both steels.</p><p>. Calculate true stress, and true strain, for each data point of engineering stress and engineering strain up to the point of necking (i.e. the maximum load).</p><p>For the cold rolled steel tensile data: . Calculate the elastic modulus, E, from a linear fit to the data prior to the onset of plasticity.</p><p>. Calculate the 0.2% offset yield strength, . is the load that corresponds to the 0.2% offset. In other words, is the load necessary to plastically deform the specimen so that L is 0.2% longer than .</p><p>. Finally, calculate the work hardening exponent, n, from a power law fit to the data from the 0.2% offset yield strength to the point of necking (i.e. the maximum load). K is the strength coefficient. For the annealed steel tensile data:</p><p>. Calculate the elastic modulus, E, from a linear fit to the data prior to the onset of plasticity. </p><p>. Identify the yield strength as the point at which the stress drops. </p><p>. Calculate the work hardening exponent from a power law fit to the data from the point at which stress begins to increase after the yield drop to the point where necking begins (i.e., the maximum load). </p>