Explain the difference between true stress and engineering stress. Be specific and use diagrams to support.

A new highly ductile, plastic material has been created that can change its width by a factor of $5\%$ per inch that it is stretched along it's axis. If a $1$ ft cylinder of this specimen is loaded with a radius of $2$ inches and undergoes $5$ inches of deformation within its elastic region, what is the ductility of this material in $\%$ Reduc.? What about $\%$ Elong.? Based on what we have talked about in this class and your intuition, attempt to draw a graph of what you think the Stress V Strain graph of this material looks like. $($Use $\%$ Elongation to narrow in on a material type$)$

Name: $q,$

Date: $q,$

Date Due: $11/12/24$

$3.$ A material undergoes a loading test that gives the material a peak engineering stress in the lateral and longitudinal directions of $q,$ Mpa and

Mpa $,$ respectively. It is calculated to have a true stress in the lateral and longitudinal of and Mpa, respectively. Find the poissons ratio of this material. $($Hint: you need $2$ equations$)$