  We present a fully consistent implementation of electroweak and strong
radiative corrections to single W hadroproduction in the POWHEG BOX framework,
treating soft and collinear photon emissions on the same ground as coloured
parton emissions. This framework can be easily extended to more complex
electroweak processes. We describe how next-to-leading order (NLO) electroweak
corrections are combined with the NLO QCD calculation, and show how they are
interfaced to QCD and QED shower Monte Carlo. The resulting tool fills a gap in
the literature and allows to study comprehensively the interplay of QCD and
electroweak effects to W production using a single computational framework.
Numerical comparisons with the predictions of the electroweak generator HORACE,
as well as with existing results on the combination of electroweak and QCD
corrections to W production, are shown for the LHC energies, to validate the
reliability and accuracy of the approach
