In structural engineering, the flexibility method is the classical consistent deformation method for computing member forces and displacements in structural systems. Its modern version formulated in terms of the members' flexibility matrices also has the name the matrix force method due to its use of member forces as the primary unknowns.
Read more about Flexibility Method: Member Flexibility, Nodal Equilibrium Equations, The Primary System, Compatibility Equation and Solution, Advantages and Disadvantages
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