| |
6.3 Example on Calculations of Element Stiffness Matrix and Force Vector.
Consider a typical element  . The nodes, the coordinates, the degrees of freedom and the shape functions of the element (in the local notation) are shown in Fig. 6.3
Figure 6.3 A typical element k
Assume that
 , a constant, |
|
 , a constant. |
(6.29) |
Using equation (6.1), the expressions for  ,  = 1,2 become:
 ,
 ,
|
(6.30) |
where
 |
(6.31) |
Substituting equations (6.29-6.30) into the expression (6.25) for  , we get
 |
(6.32) |
Similarly, substituting equations (6.29-6.30) into the expression (6.26) for  , we get
 |
(6.33) |
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