$7\mathrm{.}128$ through $7\mathrm{.}131$ For the given state of plane strain, use the method of $$ Sec. $7\mathrm{.}7$A to determine the state of plane strain associated with axes $x^{\text{'}}$ and $y^{\text{'}}$ rotated through the given angle $.$

$\backslash$table$[[,{}_x,{}_y,{}_{xy},$

Find problem $7\mathrm{.}129$

Answer

$7\mathrm{.}128$: ${}_{x^{\text{'}}}=-653$;${}_{y^{\text{'}}}=303$;${}_{x^{\text{'}}{y}^{\text{'}}}=-829.$

$7\mathrm{.}129$: ${}_{x^{\text{'}}}=115\mathrm{.}0$;${}_{y^{\text{'}}}=285$;${}_{x^{\text{'}}{y}^{\text{'}}}=-5\mathrm{.}72.$

$7\mathrm{.}131$: ${}_{x^{\text{'}}}=36\mathrm{.}7$;${}_{y^{\text{'}}}=283$;${}_{x^{\text{'}}{y}^{\text{'}}}=227.$