Chelsea are now unbeaten in 14 games in all competitions under Tuchel and go into the semi-final draw with Southampton and Manchester City.
They'll find out later today who they'll be playing at Wembley. As for United, their Cup run comes to an end and their attention now turns back to the Premier League when they face Leeds United after the international break.
Chelsea are through to the FA Cup semi-final with a 2-0 win over Sheffield United. It was an own goal that broke the deadlock in the first half when Norwood deflected Chilwell's cross past Ramsdale.
In the second half, United had some great chances to equalise with McGoldrick and Brewster both sending shots just wide of the target before Ziyech picked out the bottom corner after a quick break to seal the win in stoppage time.