Statically indeterminate means that the beam has more unknown forces then there are statics equations to solve for those unknowns. Typically, a beam can have a possible 3 equations to describe it statically if it is treated as a 2 dimensional problem. These equations would be one for the x direction, one for the y direction, and one moment equation.
There are few ways that a statically indeterminate beam can be solved. It can be solved by using methods of integration. The superposition method can also be used to solve the problem.
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