Problem $2$

The strain at point A on the bracket has components $x=300({10}^{-6}),y=550({10}^{-6}),{}_{xy}=-650({10}^{-6}),{}_z=0.$ Determine

$($a$)$ The principal strains at A in the $x-y$ plane,

$($b$)$ The maximum shear strain in the $x-y$ plane

$($c$)$ The absolute maximum shear strain

$($d$)$ The state of stress if the $E=75$GPa and Poisson's ratio is $0\mathrm{.}28$