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2 TYPES OF STABLE STRUCTURES
Statically Determinate
Statically Indeterminate
The equilibrium equations provide both the necessary and sufficient conditions for equilibrium
DETERMINACY
When all the forces in a structure can be determined strictly from these equations, the structure
STATICALLY DETERMINATE
Structures having more unknown forces than available equilibrium equations
STATICALLY INDETERMINATE
additional equations needed to solve for the unknown reaction
COMPATIBILITY EQUATIONS
fewer reactive forces than equations of equilibrium that must be satisfied.
PARTIAL CONSTRAINTS
support reactions are concurrent or when the reactive forces are all parallel
IMPROPER CONSTRAINTS
A structure (or truss) is externally unstable if all of its reactions are concurrent or parallel.
EXTERNAL STABILITY
A truss can often be checked by careful inspection of the arrangement of its members. If it can be determined that each joint is held fixed so that it cannot move in a “rigid body” sense with respect to the other joints, then the truss will be stable.
INTERNAL STABILITY