![]() The compatibility requirement will be satisfied by writing one or more equations (i.e., compatibility equations) 'which state either that no gaps exist internally or that deflections are consistent with the geometry imposed by the supports.Īs a key step in the flexibility method, the analysis of an indeterminate structure is replaced by the analysis of astable determinate structure. Using the equations of static eqUilibrium in each step of the analysis. In the flexibility method, we will satisfy the equilibrium requirement by ![]() By compatibility we mean that the structure must fit together-no gaps can exist-and the deflected shape must be consistent with the constraints imposed by the supports. structures with aloW' degree ofindeterminancy "Īll methods of indeterminate analysis require that the solution satisfy equilibrium and compatibility requirements. ![]() Therefore, the method is most attractive when applied to. Although the method can be applied to almost any type of structure (beams, trusses, frames, shells, and so forth), the computational effort increases exponentially with the degree of indeterminancy. The flexibility method, also called the method ofconsistent deformations or the method ofsuperposition,is a procedure for analyzing linear elastic indeterminate structures.
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