Civil Engineering Reference
In-Depth Information
(9.32)
The stiffness matric will be given as before by
(9.33)
or in terms of the stiffness sub-matrices
(9.34)
in which each of the stiffness sub-matrix is given by
(9.35)
An explicit solution of [
J
]-
1
and the subsequent integrals are generally not
obtainable and numerical integration technique has to be resorted to. Gaussian
integration is one of the processes commonly used for this purpose.
(9.36)
Where
H
j
and
H
i
are the weight coefficients corresponding to the specified
Gauss points (
x
j
,
h
i
) and n is the number of Gauss points in each direction.
Table 9.1
Gaussian point natural co-ordinates and weight coefficients
