$****$ only part D and E only. dont calculate other parts.$****$

Consider a rectangular composite lamina with $\backslash$theta $=45\backslash$deg and the following orthotropic material properties: E$\_(1)=140$GPa,

E$\_(2)=10$GPa,G$\_(12)=7$GPa, and v$\_(12)=0\mathrm{.}3.$ The lamina is subjected to $\backslash$sigma $\_($x$)=10$MPa,$\backslash$sigma $\_($y$)=0$MPa, and $\backslash$tau $\_($xy$)=\backslash$tau $.$

a$\backslash$tau is zero, sketch what the undeformed AND deformed lamina $($with fibers$)$ will look like with

applied stresses. ALSO, state what unusual composite behavior is being exhibited. $(3$ pts $)$

c$\backslash$tau is zero, calculate the strains in the X$-$Y coordinate system. Show your equation set$-$up but

you may use your Exce$($l$)/($M$)$atlab tool to do the matrix calculation. $(5$ points$)$

e$\backslash$tau that will keep the deformed shape a

rectangle. Hint: think about which strain component must be zero for a shape to remain rectangular $($i$.$e$.$ not

turn into a diamond$).$ You must show the matrix equation you will use, any part from that matrix equation

you use to solve this problem, and your work to solve for $\backslash$tau $.(10$ pts $)$