The Redskins also released quarterback Colt Brennan on Monday.
Beck was a backup with the Ravens last year and previously played two seasons with Miami. He was a second-round pick by the Dolphins from BYU in 2007. His only NFL action came as a rookie, when he started four games.
Brennan was a sixth-round pick in 2008 but never played for Washington. He sat out last year after having hip surgery.
Dutch was undrafted out of Michigan a year ago and spent time on the Redskins' practice squad. The Ravens need depth at the position after they placed cornerback Domonique Foxworth on injured reserve with a right knee injury.