## 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
Last modified: 2018-11-07 12:52:06
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