  The ATLAS detector data on di-lepton production is used in order to impose
constraints on $Z^\prime$ boson masses associated with a variety of 3-3-1 and
$E_6$ motivated $Z'$ models. Lower mass bounds for the different models are
established at $95\%$ confidence level. Our numerical analysis is extrapolated
up to 14~TeV, and further to 30~TeV and 100~TeV, for a broad range of
luminosities. Some of our results can be compared with the ATLAS published
bounds, being, for those cases, in fairly good agreement. We also report the
vector and axial charges for all the 3-3-1-motivated $Z'$ models without exotic
electric charges for leptons, known in the literature. To the best of our
knowledge most of this charges were not reported before.
