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General Description
Section 1
1-32
Theoretical Basis
The solid element used in STAAD is of eight noded isoparametric
type. These elements have three translational degrees-of-freedom
per node.
Figure 1.27
By collapsing various nodes together, an eight noded solid element
can be degenerated to the following forms with four to seven
nodes. Joints 1, 2, and 3 must be retained as a triangle.
Figure 1.28
The stiffness matrix of the solid element is evaluated by numerical
integration with eight Gauss-Legendre points. To facilitate the
numerical integration, the geometry of the element is expressed by
interpolating functions using natural coordinate system, (r,s,t) of
the element with its origin at the center of gravity. The
interpolating functions are shown below: