The plane elastostatic problem for a half-space which contains an arbitrarily oriented flat inclusion is considered. The medium is loaded from its surface by an inclined concentrated force. It is assumed that the inclusion may be rigid or elastic with negligible bending rigidity. Fourier integral transforms are applied and the problem is formulated in terms of the unknown interface stresses using concentrated force solutions as Green's functions. The unknowns are then solved from a system of simultaneous singular integral equations. Stress intensity factors are presented for various inclusion and load geometries.