User:Eml4500.f08.ramrod.D/DO HW2

 WARNING: Please move your work to the user namespace, and request a deletion of all of your wiki page under the main namespace by inserting the delete or delete my page template at the top of the page so wikiversity custodian could delete them. Remember to log in when you perform these operations so you are not mistaken to be vandals. Failure to do the above immediately will result in a lower HW grade. Eml4500.f08 09:28, 25 September 2008 (UTC)

Lecture Notes 9/15/2008
$$\mathbf{K}= \begin{bmatrix} k_{11}^{(1)} & k_{12}^{(1)} & k_{13}^{(1)} & k_{14}^{(1)} & 0 & 0\\k_{21}^{(1)} & k_{22}^{(1)} & k_{23}^{(1)} & k_{24}^{(1)} & 0 & 0\\k_{31}^{(1)} & k_{32}^{(1)} & (k_{33}^{(1)}+k_{11}^{(2)}) & (k_{34}^{(1)}+k_{12}^{(2)}) & k_{13}^{(2)} & k_{14}^{(2)}\\k_{41}^{(1)} & k_{42}^{(1)} & (k_{43}^{(1)}+k_{21}^{(2)}) & (k_{44}^{(1)}+k_{22}^{(2)}) & k_{23}^{(2)} & k_{24}^{(2)}\\0 & 0 & k_{31}^{(2)} & k_{32}^{(2)} & k_{33}^{(2)} & k_{34}^{(2)}\\0 & 0 & k_{41}^{(2)} & k_{42}^{(2)} & k_{43}^{(2)} & k_{44}^{(2)}\end{bmatrix}$$

The appropriate numbers will be inputted into matrix K which is a 6x6 matrix.

$$\mathbf{K}= \begin{bmatrix} K_{11} & K_{12} & K_{13} & K_{14} & K_{15} & K_{16}\\K_{21} & K_{22} & K_{23} & K_{24} & K_{25} & K_{26}\\K_{31} & K_{32} & K_{33} & K_{34} & K_{35} & K_{36}\\K_{41} & K_{42} & K_{43} & K_{44} & K_{45} & K_{46}\\K_{51} & K_{52} & K_{53} & K_{54} & K_{55} & K_{56}\\K_{61} & K_{62} & K_{63} & K_{64} & K_{65} & K_{66}\end{bmatrix}$$

$$\mathbf{}= \begin{bmatrix} 0.5625 & 0.32475 & -0.5625 & -0.32475 & 0 & 0\\0.32475 & 0.1875 & -0.3247 & -0.1875 & 0 & 0\\-0.5625 & -0.32475 & (0.5625+2.5) & (0.32475-2.5) & -2.5 & 2.5\\-0.32475 & -0.1875 & (0.32475-2.5) & (0.1875+2.5) & 2.5 & -2.5\\0 & 0 & -2.5 & 2.5 & 2.5 & -2.5\\0 & 0 & 2.5 & -2.5 & -2.5 & 2.5\end{bmatrix}$$