$[25$p$]$ An original rectangular plate ABCD is deformed by application of loads as shown in Fig.

below:

Orig Dimensions

$AB$ and $CD$:$100mm$

$AD$ and $BC$:$120mm$

All dimensions are in mm

Calculate:

a$)$ Strains ${}_x,{}_y,{}_{xy}$ at point $A$

b$)$ Principal strains at point $A$

c$)$ Max shear strain $($in$-$plane$)$ at point A