Abstract: A support arm with a holder for a bearing element such as a nose pad for fastening the holder to a respective frame of eyeglasses. The support arm is constituted, along at least a portion of its length, by a core of hard material and inner and an outer layer of wires wound spirally as a jacket around the core. Because of this combination of materials, the support arm has both adequate stability in the normal position when the glasses are worn by the glasses wearer and also flexible resiliency and ensuing restoration of the normal position in the event of an external strain such as an impact, without permanent deformation of the support arm.