Lamina Properties:

$E_1=140$GPa,$E_2=10$GPa,$G_{12}=7$GPa,$v_{12}=0\mathrm{.}3,=65$

$(10$ pts$)$ Sketch a complete FBD for this problem, including all relevant coordinate systems & loads from part $6.$

$(20$ pts$)$ Calculate the reduced stiffness matrix for this lamina. Use your Excel $($or Matlab$)$ tool to calculate the

answer and no setup is required.

$(40$ pts $)$ Calculate the transformed reduced stiffness and transformed reduced compliance matrices using your

Excel $($or Matlab$)$ tool? You do not have to write out these equations.

$(15$ pts$)$ If the lamina is loaded with the state of stress $\{{}_1,{}_2,{}_{12}\}=\{75,15,-25\}MPa,$ what are these stresses

in the X$-$Y coordinate system? Use your Excel $($or Matlab$)$ tool, but write the equation you will use.

$(15$ pts$)$ If the lamina is loaded with the state of stress $\{{}_x,{}_y,{}_{xy}\}=\{-50,25,-15\}MPa,$ what are the lamina

strains in the X$-$Y coordinate system? Show the equation you will use, but use your Excel $($or Matlab$)$ tool to do

the numerical calculation.