A carbon fiber element comprising a carbon fiber to which a coating is applied that reduces its thermal coefficient of resistivity (TCR) can be included in a fiber reinforced structural component to improve sensing of strain therein by reducing errors arising from temperature variations. A method thereof includes providing, embedded within the structural component, at least one carbon fiber extending across a principle plane of the structural component, the carbon fiber being uniformly coated along its entire length with an electrically conductive material, the coating having a resistance that is equal to the carbon fiber and a TCR that is equal but opposite to the carbon fiber. The strain in the structural component is then determined by measuring changes in the electrical resistance of the carbon fiber element.