Question

6.41 Using the data in Problem 6.28 and Equations 6.15, 6.16, and 6.18a, generate a true stress-tru strain plot for aluminum. Equation 6.18 a becomes invalid past the point at which necking begins; therefor measured diameters. are given below for the last four data points, which should be used in true stress computations. \begin{tabular}{cccccc} & \multicolumn{4}{c}{ Load } & \multicolumn{1}{c}{ Length } \\ \multicolumn{2}{c}{ Diameter } \\ \( \boldsymbol{N} \) & \( \boldsymbol{l b}_{\boldsymbol{r}} \) & mm & \( \boldsymbol{i n} \). & \( \boldsymbol{m m} \) & \( \boldsymbol{i n .} \) \\ \hline 46,100 & 10,400 & 56.896 & 2.240 & 11.71 & 0.461 \\ 42,400 & 10,100 & 57.658 & 2.270 & 10.95 & 0.431 \\ 42,600 & 9,600 & 58.420 & 2.300 & 10.62 & 0.418 \\ 36,400 & 8,200 & 59.182 & 2.330 & 9.40 & 0.370 \\ \hline \end{tabular} Solution These true stress-strain data are plotted below.

          6.41 Using the data in Problem 6.28 and Equations 6.15, 6.16, and 6.18a, generate a true stress-tru strain plot for aluminum. Equation 6.18 a becomes invalid past the point at which necking begins; therefor measured diameters. are given below for the last four data points, which should be used in true stress computations.
\begin{tabular}{cccccc} 
& \multicolumn{4}{c}{ Load } & \multicolumn{1}{c}{ Length } \\
\multicolumn{2}{c}{ Diameter } \\
\( \boldsymbol{N} \) & \( \boldsymbol{l b}_{\boldsymbol{r}} \) & mm & \( \boldsymbol{i n} \). & \( \boldsymbol{m m} \) & \( \boldsymbol{i n .} \) \\
\hline 46,100 & 10,400 & 56.896 & 2.240 & 11.71 & 0.461 \\
42,400 & 10,100 & 57.658 & 2.270 & 10.95 & 0.431 \\
42,600 & 9,600 & 58.420 & 2.300 & 10.62 & 0.418 \\
36,400 & 8,200 & 59.182 & 2.330 & 9.40 & 0.370 \\
\hline
\end{tabular}

Solution

These true stress-strain data are plotted below.

6.41 Using the data in Problem 6.28 and Equations 6.15, 6.16, and 6.18a, generate a true stress-tru strain plot for aluminum. Equation 6.18 a becomes invalid past the point at which necking begins; therefor measured diameters. are given below for the last four data points, which should be used in true stress computations.

4c Load 1c Length

2c Diameter

N l br mm i n. m m i n .

46,100 10,400 56.896 2.240 11.71 0.461

42,400 10,100 57.658 2.270 10.95 0.431

42,600 9,600 58.420 2.300 10.62 0.418

36,400 8,200 59.182 2.330 9.40 0.370

Solution

These true stress-strain data are plotted below.

Added by Mary A.

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