High entropy alloys are a class of multicomponent metallic alloys in (near) equal atomic percent that, strikingly, crystalize as single-phase solid solutions. Due to the presence of different atom types, with various atomic size differences, it has been postulated that the underlying lattice in these alloys becomes severely distorted. We compute the nearest neighbor bond lengths in the single-phase bcc HfNbTaTiZr alloy using first principles calculations with special quasirandom structures. We find a distribution of nearest neighbor bond lengths at each lattice point, as well as varying average bond lengths from atom to atom, confirming the “lattice-distortion effect” in this alloy. Furthermore, we compute the full elastic constant tensor of this alloy, providing quantitative data that can be used in further studies of mechanical properties.