A rotor blade for a wind turbine includes at least one blade segment defining an airfoil surface and an internal support structure. The internal support structure is formed, at least in part, of a first portion constructed of a first composite material and a second portion constructed of a different, second composite material, the second composite material arranged in a plurality of layers. The first and second portions are connected together via a scarf joint. Each of the plurality of layers of the second composite material includes an end that terminates at the scarf joint. The scarf joint includes a different, third composite material arranged between the first and second composite materials. The third composite material includes a plurality of segments, each of which is arranged so as to completely wrap the ends of the plurality of layers of the second composite material.