Derive the flexibility matrix for the simply supported beam of span L and flexural rigidity EI and carries two moments as shown in the figure:
1
\(\frac{L}{EI}\begin{bmatrix} \frac{1}{3} &\frac{-1}{6} \\ \frac{-1}{6}&\frac{1}{3} \end{bmatrix}\)
2
\(\frac{L}{EI}\begin{bmatrix} \frac{1}{3} &\frac{1}{6} \\ \frac{1}{6}&\frac{1}{3} \end{bmatrix}\)
3
\(\frac{L}{EI}\begin{bmatrix} \frac{1}{3} &\frac{1}{3} \\ \frac{1}{3}&\frac{1}{6} \end{bmatrix}\)
4
\(\frac{L}{EI}\begin{bmatrix} \frac{1}{6} &\frac{-1}{3} \\ \frac{-1}{3}&\frac{1}{6} \end{bmatrix}\)