The win is the lucky 13th of the season for SU (13-5), breaking the school record of 12 set last spring.
SU scored the first four goals of the game, with freshman Liz Bereit getting things started with a free position goal at 27:46, before taking an 8-2 lead into the halftime lockerroom.
Bridgewater briefly made things interesting midway through the second as Taylor Chamberlain had a natural hat trick (all on free position shots) from the 21:58 to 15:14 marks.
Bereit finally stopped this run with an unassisted goal of her own at 13:37 and SU scored four of the final five goals of the game to coast home to the victory.
Eight different women placed their names in the scorebook, with Samantha Sisson leading the way with three goals and three assists.
Ashley Cross made 13 saves.
Shenandoah outshot its visitors 32-28, had a 21-16 advantage in groundballs and won 12 of 22 draws.
The 2013 schedule will be announced in July.