A curved extrusion includes a body that has indefinite length and a cross-section, and that is formed to contour and at least one channel cut into the cross-section that is filled with deposited material such that said cross-section of said body is restored. By cutting the channels into the cross-section of the extrusion, the extrusion may be easily formed onto a contoured tool to be curved with lower forming and residual stresses and distortion. By filling the channels with deposited material, the original cross-section and strength of the extrusion can be restored. By adding a transverse stiffener, the strength of the original extrusion may not only be restored but also further improved. By depositing material to create structural features the cross-section of the extrusion may be locally changed. The method for forming curved extrusions of the present invention may be used, for example, to produce T-chords of an aircraft.