$(20pts)$ A rectangular piece of copper has the following dimensions $8$ cm length, $1$ cm width and $2$ cm

height :

a$)(12)$ A force of $50000$ N is applied along the length of the piece. What type of deformation results

from this? Calculate the final dimensions of the piece. If the deformation is not elastic, calculate it

at the maximum stress within the elastic region.

b$)(8)$ If the same force is applied in shear along the faces that are $8cm1cm,$ draw the final shape

of the copper piece, with the shear angle in degrees. Assume the deformation is elastic.