There are many terms that differ from area to area but to keep it simple a joist is a type of beam but a beam is not a joist. A beam is a generic term that covers many structural elements. If you double up some joists you can call that a beam. Beams generally hold up several joists or other beams or point loads.
A joist, in architecture and engineering, is one of the horizontal supporting members that run from wall to wall, wall to beam or beam to beam, to support a ceiling, roof (or floor).
It may be made of wood, steel or concrete. Typically a beam is bigger than a joist and thus is distinguished from a joist.
Joists will often be supported by beams. Joists support the sub-floor (floor deck) directly.
The wider the span between the supporting structures the deeper the joist will need to be if it is not to deflect under load.
Lateral support also increases its strength .
There are approved formulas for calculating the depth required, however, a rule of thumb for calculating the depth of a floor joist for a residential property is; half the span in feet plus two inches.
For example the joist depth required for a 14 foot span is 9 inches.
Engineered wood products like an I-Joist gain strength from depth of the floor or the height of each joist.
A common saying in this industry is deeper is cheaper referring to the lower quality cost effective joist 14 inches and above.
Also; A horizontal member in the framing of a floor, roof, or ceiling plane.
Beam;
Horizontal or inclined structural member spanning a distance between one or more supports, and carrying vertical loads across (transverse to) its longitudinal axis, as a girder, joist, purlin, or rafter.
Three basic types of beams are: (1) Simple span, supported at both ends, (2) Continuous, supported at more than two points, and (3) Cantilever, supported at one end with the other end overhanging and free.
Also, A horizontal, weight-supporting member of a structural frame.
Girder=usually refered to as a beam that supports floor joists or rafter joists.
Joist=framing members such as cieling, roof, and floor joists. There are usually more than one.
Beam=A framing or structural member that is oversized. Is typically bigger than a joist. Is used in “bearing” or “carrying” a load.