A cantilever beam is a beam which is fixed at one end ( no translation or rotation).
A propped cantilever beam is a beam which is fixed at one end ( no translation or rotation) and simply supported ( no translation) at the other end.
A cantilever beam is a beam which is fixed at one end ( no translation or rotation).
A simply supported beam is a beam which is simply supported at both ends.
A propped simply supported beam is a beam which is simply supported at both ends and simply supported at some other point such as at the center, to reduce deflection under load.
Propped beams are statically indeterminate.
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