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Applying overall equilibrium to this case it is noted that the resultant vertical force over any semi-circle, of radius r, must equal the applied force P:

7T r

This can be transformed into x and y coordinates:

See also §8.3.3 for further transformation of these equations.

This type of solution can be extended to consider the wedge problem, again subject to a line load as shown in Figs. 8.40(a) and (b).

î J. Boussinesq, Application de potentiels a létude de l'équilibré] Paris, 1885; also Comptes Rendus Acad Sci., 114 (1892), 1510-1516.

(b) The wedge subject to an axial load - Figure 8.40(a)

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