COMPATIBILITY CONDITION
-In addition to the static equilibriunm conditions, it is necessary in any structural analysis that all conditions ot compatibility be satisfied.
-Compatibility codntions means requirement of continuity, such as in joints where two or more members meet.
-These conditions refer to continuity of the displacements throughout the structure and are sometimes referred to as conditions of geometry.
-The members meeting at a joint will'continue to meet at the same joint even after deformation
takes placCe.
-At rigid joints or connections between two members the displacement (translations and rotations) of both members must be same.
formulating additional equations.
- The compatibility conditions will help in
displacement. These equations are related to
Note: Compatibility equations deal with
balancing of deformations.
DEGREE OF FREEDOM (DOF)
Equilibrium condition at joints are expressed as a set of simultaneous in terms of the joint displacements.
the number of simultaneous
equations will be the same as the
The number component joint
displacements involved and is known as DOF
