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To determine the unknowns A , B , C and D , we use the
boundary conditions when x  (Figure 8.6)
0
y   0  y ;   0   ;   0M  M ;   0Q  Q . (8.29)
0
0
0
0
According to formulas (8.26) and (8.27) when x  we
0
obtain
0
1
0
K   0  ; K   0  ; K   0  ; K   0  ;   0y *  0.
0
1 2 3 4
Satisfying the boundary conditions (8.29), we obtain
integrating constants
 A  y 0 ;
 
 B  0 ;
 

 M 0 (8.30)
 C   2 EJ ;
 z
 Q 0
Figure 8.6  D  3 .
  EJ z

Taking into account the expressions (8.30) the correlations
(8.25), (8.28) take the form
 M Q
y   x  y K  0 K  0 K  0 K  y * ( )x ;
4
0
3
1
2
  2 EJ  3 EJ
z z
M Q dy *   x
   x   4y  K   0 K  0 K  0 K  ;
3
0
1
2
4
 EJ z  2 EJ z dx
M   x   4y  2 K EJ  4  K EJ  M K 
0 3 z 0 4 z 0 1
2
Q d y *   x
 0 K  ;
 2 dx 2

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