Constant pressure molecular-dynamics (MD) simulations of systems consisting of soft spherocylinders with both translational and orientational freedom are performed to study the behavior of liquid crystalline phases and its transitions. In order to investigate to what extent can the properties known to real liquid crystalline phases be explained by the anisotropy of the shape of the molecules alone, the MD simulation uses purely repulsive short-range pair potentials representing soft spherocylinders. Both the nematic and smectic phases are simulated and the properties of each phase are investigated.