The analysis of the pre-tensioned twisted cables when subjected to axial loading pose a challenge and this is because the analysis has been done by various investigators and yielded different responses. Investigators proposed different hypotheses to report the predictions. There is no unique methodology or mathematical model to predict the response of a strand under a load, as accurately as desired. The theoretical predictions also differ by small margin from the experimental findings. There are several significant factors but they have not been considered together in most of the works. The test results show that all the theoretical predictions underestimate strand extension under fixed end conditions and free end conditions. The fixed end conditions and free end conditions are two degrees of fixity. The aim of the present work is to devise a finite element model that would narrow down the gap between the predicted and experimentally found responses. The emphasis was placed on the linear elastic global behaviour of a simple isotropic straight steel strand under small strain.