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. Concept and Steps of Flexibility Method Video Lecture from Chapter Analysis of Indeterminate Structures by Flexibility Method of Structural Analysis 2 for Ci. Matrix method of analysis: flexibility and stiffness method, Application to simple trusses and beam. To introduce the basic methods of matrix structural analysis. Pick a sufficient number of redundants corresponding to the degree of indeterminacy 2. Using the equations of static eqUilibrium in each step of the analysis. how these definitions can be used to find flexibility and stiffness influence coefficients. Lecture 6: The Flexibility Method - Beams The fundamental concepts that underpin the flexibility method will be illustrated by the study of a two span beam. 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. EV302 - Structural Analysis FLEXIBILITY METHOD 8 General Procedure of Analysis Maxwell’s Theorem of Reciprocal Displacement: Betti’s Law Very useful when solving for structure with degree of indeterminacy of two or more The theorem says that: The displacement at a point, say B, on a structure due to a unit load acting on another point, say A, is equal to the displacement of Point A. Flexibility matrix method: This method is also called the force method. structures with aloW' degree ofindeterminancy "Īll methods of indeterminate analysis require that the solution satisfy equilibrium and compatibility requirements. Briefly mention the two types of matrix methods of analysis of indeterminate structures. 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.
Analysis of Indeterminate Structures by the Flexibility Method "'~:!~ 1~ t'i~t~~d~cti~~'"'''HH'''''''''''''''''''''''''''''''. The method is validated with simulation examples of damaged isostatic and hyperstatic beams, and experiments involving a reinforced concrete free-free beam and.