## 1. Introduction (cont'd)

$\left(\begin{array}{ccc}{a}_{11}& {a}_{12}& {a}_{13}\\ {a}_{21}& {a}_{22}& {a}_{23}\\ {a}_{31}& {a}_{32}& {a}_{33}\end{array}\right)\left(\begin{array}{c}{w}_{1}\\ {w}_{2}\\ {w}_{3}\end{array}\right)=\left(\begin{array}{c}{f}_{1}\\ {f}_{2}\\ {f}_{3}\end{array}\right)$

The result of the analysis of a typical element type is a small matrix relating a vector of nodal displacements to a vector of applied nodal forces.

The components of the matrix can be expressed as functions of the shape and properties of the element, and the values of the components for a particular element can then be obtained by substituting the appropriate shape and property parameter values into the formulæ.

Once the element matrices have been calculated, they are all combined together into one large matrix representing the whole complex system, as discussed in Section 4.

R. Funnell