A spool with enhanced capacity for narrow strip components of tires for use in building tires is provided by winding such strip together with a cloth strip in successive alternating helical layers. A method for preparing such spool and a method for dispensing strip therefrom to a tire building machine are also disclosed.The foregoing abstract is not to be taken as limiting the invention of this application, and in order to understand the full nature and extent of the technical disclosure of this application, reference must be made to the accompanying drawing and the following detailed description.