Kyliemax,
Welding fittings are defined by the ASME B16.9 - Standard for Forged Welding Fittings (and other Standards that are used outside North America). The ASME B16.9 welding elbow is manufactured in long radius (1.5 times the NOMINAL diameter) or short radius 1.0 times the NOMINAL diameter). The B16.9 Standard really does NOT "standardize" ALL the dimensions - just end-to-end, center to end and some "squareness" tolerances (NOTE - wall thickness, per se, is not defined). B16.9 fittings are pressure rated. That is to say they must pass, or be shown to be able to pass, a "pressure test". If you were to weld a B16.9 Standard elbow between two pieces of straight pipe and weld two B16.9 Standard welding pipe caps to the ends of the straight pipe (as closures with all fitting schedules being the same as the straight pipe schedule) and pressure test the weldment to destruction, the straight pipe would fail first. It is NOT UNCOMMON for the fitting manufacturer to make the elbows of greater wall thickness in order to assure that the extrados (outside of the the elbow radius) will be thick enough to pass a pressure test. When the elbows are of a thickness that is greater than the matching straight pipe wall thickness (for a given schedule) the elbows must be "end bored" so that the elbow wall thicknesses match the straight pipe nominal thickness at the weld lines. This facilitates the welding process.
Bends are not necessarily "standardized" and are made from straight pipe that is hot or cold formed into a bend. This usually means that the extrados will be thinner than the nominal wall thickness as a result of bending the pipe. It is common practice to buy pipe bends to a "minimum wall thickness" specification where the required "as bent minimum wall thickness" will be NO LESS than is specified at any point on the bend. As stated above, bends are usually of longer radius than elbows (they are specified when a longer that LR bend radius is needed by the design) and the required radius is specified as a function of the nominal pipe diameter - e.g., 3.0 times the nominal pipe diameter or 5.0 times the nominal pipe diameter. The B31 Code for Pressure Piping, B31.3, Process Piping includes equations for calculating the required wall thickness for formed pipe bends (note, these equations do not apply to ASME B16.9 forged welding elbows elbows).
Regards, John.