Euler-Bernoulli Beam Model¶

\[\begin{split}\begin{Bmatrix} F_1 \\ M_1 \\ M_2 \\ M_3 \end{Bmatrix} = \begin{bmatrix} C^b_{11} & C^b_{12} & C^b_{13} & C^b_{14} \\ C^b_{12} & C^b_{22} & C^b_{23} & C^b_{24} \\ C^b_{13} & C^b_{23} & C^b_{33} & C^b_{34} \\ C^b_{14} & C^b_{24} & C^b_{34} & C^b_{44} \end{bmatrix} \begin{Bmatrix} \gamma_{11} \\ \kappa_{11} \\ \kappa_{12} \\ \kappa_{13} \end{Bmatrix}\end{split}\]

\[\begin{split}\begin{Bmatrix} \gamma_{11} \\ \kappa_{11} \\ \kappa_{12} \\ \kappa_{13} \end{Bmatrix} = \begin{bmatrix} S^b_{11} & S^b_{12} & S^b_{13} & S^b_{14} \\ S^b_{12} & S^b_{22} & S^b_{23} & S^b_{24} \\ S^b_{13} & S^b_{23} & S^b_{33} & S^b_{34} \\ S^b_{14} & S^b_{24} & S^b_{34} & S^b_{44} \end{bmatrix} \begin{Bmatrix} F_1 \\ M_1 \\ M_2 \\ M_3 \end{Bmatrix}\end{split}\]