Association functions for a cross-section with two adjoining cells

The continuity requirement within each cell formulated for the general case in Eq. (7.50) takes the following form for the two cells  

Since all three branches meet at both of the junctions, identical relations for the warping resultant as of Eq. (7.51) are gained  

Besides the utilization of two independent relations out of these four relations, additional information is necessary to determine the three integration constants. Here the zero passage of the warping displacement in the maimer of Eq. (7.41) may be introduced for one of the branches. For the example at hand, this could be given for the center of the web as follows  

Consequently, they do not influence the axial equilibrium at the junctions and, hence, Eq. (7.53) reduces to 

As a matter of course, the continuity requirement for the warping displacement of the retained cell in Eq. (7.52a) remains valid, while Eq. (7.52b) has to be dropped. Instead, the continuity requirement at the junctions, given by Eqs. (7.54), is modified such that three of the four relations are independent  

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Table 7.1. Association functions for a cross-section with two adjoining cells.

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