Computer simulations of systems of soft repulsive spherocylinders (SRS) of aspect ratio (L/D) equal to 4 have been carried out using the parallel molecular dynamics program GBMOLDD. At sufficiently high densities the system forms stable nematic and smectic-A liquid crystalline phases. Results are presented for a series of seven isochores in the NVE ensemble, and for isobars at T* = kT/ε= 0.5, 1.0, 1.5 in the NpT ensemble.