McShane, who is on loan from the Rhinos to Widnes, was charged with use of the forearm in a tackle on Bradford full-back Brett Kearney during the Vikings' 38-26 Super League defeat at Bradford on Sunday.
He made an early-guilty plea to the grade B offence and was given a one-match ban, which rules him out of Friday's game against Leeds at Headingley.
McShane has played in Widnes' last eight matches, three of which brought victories to lift them off the foot of the table.
Wakefield centre Dean Collis and Hull back-row forward Joe Westerman will also miss this weekend's games after admitting grade B offences.
Collis was given a one-match ban for a dangerous throw on forward Stuart Jones in Sunday's derby defeat at Castleford while Westerman was suspended for one game for a reckless high tackle on Wigan prop Epalahame Lauaki in last Friday's 48-10 defeat at the DW Stadium.