A $1-$ in. square was scribed on the side of a large steel pressure ves-
sel. After pressurization the biaxial stress condition at the square is as shown. Knowing that $E=29 \times 10^{6}$ psi and $\nu=0.30,$ determine the change in length of $(a)$ side $A B,(b)$ side $B C,(c)$ diagonal $A C$.