Methods and apparatus for forming a multi-layered tire component, the steps of the method including providing a mechanical system, the system including a plurality of cutting members; translating a sheet of material along a translation path through the mechanical system; cutting a first strip from the sheet with one or more of the plurality of cutting members, this step occurring during the step of translating; mechanically applying the first strip to a building surface, this step occurring during the step of translating; cutting a second strip from the sheet subsequent to the step of cutting the first strip, this step occurring during the step of translating; mechanically applying the second strip to a building surface, this step occurring during the step of translating.