Aesthetically pleasing strain-relief members for cables and methods for making the same are disclosed. The strain-relief members are constructed to have one or more tuning members that provide selective strain relief for the cable. Each tuning member can vary the wall thickness of the strain relief member, and depending on several factors such as how many tuning members are present, their shape, and their positions within the strain-relief member, the strain-relief member can be specifically tailored to meet desired strain relief characteristics.