(Solved): use EXCEL for PART B please! Consider a single lamina of unidirectional graphite-epoxy with a fiber ...
use EXCEL for PART B please!
Consider a single lamina of unidirectional graphite-epoxy with a fiber orientation angle of \( 30^{\circ} \). You may use a computer or do the calculations by hand but must show your work. Use the lamina properties provided in Lesson 3, Slide 19 in English units. a. Sketch a complete and useful figure for this problem, including all relevant coordinate systems. b. Calculate the transformed reduced stiffness matrix for this lamina. c. Comment on the terms in this matrix and what they mean in terms of the stress-strain behavior. In other words, tell me what type/direction of stress and strain are being related by each for each \( Q \) _bar entry. d. Is this lamina orthotropic or anisotropic? Is the behavior orthotropic or anisotropic? Why or why not?
\begin{tabular}{|c|c|c|c|c|} \hline \multirow{2}{*}{ Property } & \multicolumn{3}{|c|}{ Unidirectionally Reinforced Composite Material } \\ \cline { 2 - 5 } & Glass-Epoxy & Boron-Epoxy & Graphite-Epoxy & Kevlar(?-Epoxy \\ \hline \( \mathrm{E}_{1} \) & \( 7.8 \times 10^{6} \mathrm{psi} \) & \( 30 \times 10^{6} \mathrm{psi} \) & \( 30 \times 10^{6} \mathrm{psi} \) & \( 11 \times 10^{6} \mathrm{psi} \) \\ \( \mathrm{E}_{2} \) & \( 2.6 \times 10^{6} \mathrm{psi} \) & \( 3 \times 10^{6} \mathrm{psi} \) & \( .75 \times 10^{6} \mathrm{psi} \) & \( .8 \times 10^{6} \mathrm{psi} \) \\ \( \mathrm{v}_{12} \) & \( .25 \) & \( .3 \) & \( .25 \) & \( .34 \) \\ \( \mathrm{G}_{12} \) & \( 1.3 \times 10^{6} \mathrm{psi} \) & \( 1 \times 10^{6} \mathrm{psi} \) & \( .375 \times 10^{6} \mathrm{psi} \) & \( .3 \times 10^{6} \mathrm{psi} \) \\ \hline \end{tabular}