Problem $1$:

Consider the balanced, rectangular laminate below. Each layer is made of graphite$-$epoxy and is $1\mathrm{.}5$ mm thick. Use the table of stiffness properties in the notes for this lamina.

$($a$)$ Before doing any calculations, do you expect $[B]=0?$ What about $\frac{A_{16}}{A_{26}}$ and $\frac{D_{16}}{D_{26}}?$

$($b$)$ Calculate the $[$A$],[$B$],$ and $[$D$]$ matrices for this laminate.

$($c$)$ Do your results agree with your observations in part $($a$)?$

$($d$)$ If the following strains$/$curvatures are measured for this laminate, what are the edge loads$/$moments that would cause them? $\frac{1}{m},-\frac{0\mathrm{.}0051}{m},\frac{0\mathrm{.}0251}{m}.$ Hints: Use the $66$ stress$-$strain equation for a laminate and do be careful with units throughout the problem.

$($e$)$ How could you change the laminate to make $[B]=0?$