For the beam shown below, the stiffness coefficient $${K_{22}}$$ can be written as

A guided support as shown in the figure below is represented by three springs (horizontal, vertical and rotational) with stiffness $${k_x},\,\,{k_y}$$ and $${k_\theta }$$ respectively. The limiting values of $${k_x},\,\,{k_y}$$ and $${k_\theta }$$ are :

The stiffness coefficient $${k_{ij}}$$ indicates

For linear elastic frame, if stiffness matrix is doubled with respect to the existing stiffness matrix, the deflection of the resulting frame will be

In a linear elastic structural element

The stiffness matrix of a beam element is given as $${{2EI} \over L}\left[ {\matrix{ 2 & { + 1} \cr { + 1} & 2 \cr } } \right].$$ Then the flexibility matrix is

The order for the flexibility matrix for a structure is,

Horizontal stiffness coefficient, $${K_{11}}$$ of bar $$ab$$ is given by,