Abeam supported on the ends which are free to rotate and have no moment of resistance(MOR).The beams are said to be simply supported if their supports creates only the translational constraints.
Abeam supported on both ends and restrained from rotation.
A simple beam extending beyond its support on one end.
Double overhanging beam :-
A simple beam with both ends extending beyond its support on both ends.
Continuous beam :-
A beam extending over more than 2 supports.