User:Eas4200c.f08.vqcrew.a

Relating $$q_{43}$$ and $$q_{41}$$
In class it was illustrated that in the asymmetric thin-walled cross-section after the Euler cuts were made that $$q_{24}$$ could be related as


 * $$q_{24} = \tilde{q}_{24} + q_2$$

It was further required that the values of $$q_{43}$$ and $$q_{41}$$ were needed to be found as well. It can be shown that


 * $$q_{43} = \tilde{q}_{43} + q_4$$
 * $$q_{41} = \tilde{q}_{41} + q_4$$

Shear Buckling
Expressing $$\begin{Bmatrix} C_{22}, C_{13}, C_{31}, C_{33}\end{Bmatrix}$$ in terms of $$C_{11}$$ and for $$\vartheta = 1.5$$ we can accomplish:


 * 1) Finding $$\lambda$$ for $$\vartheta = 1.5$$
 * 2) Evaluate numerically for $$k_{sys}$$ in equation 30
 * 3) Find $$[k_{ij}]$$


 * $$\begin{bmatrix} k_{12} & k_{23} & \cdots & k_{25} \\ \vdots & \ddots & & \vdots \\ \vdots & & \ddots & \vdots \\k_{32} & \cdots & \cdots & k_{55}\end{bmatrix} \begin{bmatrix} C_{22} \\ \vdots \\ \vdots \\ C_{33}\end{bmatrix} = \begin{bmatrix} -\frac{u_z}{a}C_{11} \\ 0 \\ 0 \\ 0\end{bmatrix}$$

Then solve $$\begin{Bmatrix} C_{22}, C_{13}, C_{31}, C_{33}\end{Bmatrix}$$ intersect with $$C_{11}$$. If the $$K$$ matrix is expressed as $$\underline{\overline{K}}$$ then the inverse of said matrix is $$\underline{\overline{K}}^{-1}$$. The values for $$\begin{Bmatrix} C_{22}, C_{13}, C_{31}, C_{33}\end{Bmatrix}$$ can be related as


 * $$\begin{Bmatrix} C_{22}, C_{13}, C_{31}, C_{33}\end{Bmatrix} = \underline{\overline{K}}^{-1}\ \begin{bmatrix} -\frac{u_z}{a}C_{11} \\ 0 \\ 0 \\ 0\end{bmatrix}$$

Resulting in


 * $$u_z = C_{11}sin(\frac{\pi x}{a})sin(\frac{\pi y}{b}) + C_{22}sin(\frac{2\pi x}{a})sin(\frac{2\pi y}{b}) + C_{13}sin(\frac{\pi x}{a}) sin(\frac{3\pi y}{b}) + C_{31}sin(\frac{3\pi x}{a})sin(\frac{\pi y}{b}) + C_{33}sin(\frac{3\pi x}{a})sin(\frac{3\pi y}{b})$$

Adam's Opinion on Mediawiki vs. E-learning
Prior to this class, I didn't have much experience working with media-wiki nor with E-learning. I always used E-learning as a means to check grades, take quizzes and download necessary coarse information. As for media-wiki, I have only used it to look up information on wikipedia articles.

Things I like about media-wiki is that it saves everything that has been saved. It has also taught me how to program on media-wiki type codes which I have found useful in the research lab I work in which has its own wiki page.

As for the E-learning, I feel that the lack of use of its features analogous to the features found on media-wiki because they may not be on par of media wiki. E-learning has the advantage of having the full coursework and announcements page all on one area rather than having to check the course wiki page. Private grades are able to be distributed as well, which helps with the confidentiality of grades between individuals. Grades with the media wiki system were sent out to team leaders then further distributed, which is less confidential than some may prefer. I don't feel that email is the best way to communicate grades. With E-learning, the grades section alleviates this issue.

Overall, both sections have their pros and cons. The use of media-wiki was a change of pace and useful for learning.