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MECHANICAL METALLURGY $2$B

Question $3$: $10$ Marks

A steel alloy that was subjected to tensile loading was found to follow Ludwik behaviour according to the following expression: ${}_t=230\mathrm{.}82+640{}^{0\mathrm{.}15}(MPa).$ If the initial gage length is $50$ mm $,$ calculate the $\%$ uniform elongation at the point of instability. You may need to apply the Newton$-$Raphson method and assume the following:

$\backslash$table$[[{}_0,{}_1,{}_2$