Transcription of Force Method for Analysis of Indeterminate Structures
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Force Method for Analysis of Indeterminate StructuresNumber of unknown Reactions or Internal forces > Number of equilibrium equationsNote: Most Structures in the real world are statically deflections for similar members Redundancy in load carrying capacity (redistribution) Increased stability AdvantagesDisadvantagesMore material => More Cost Complex connections Initial / Residual / Settlement Stresses methods of Analysis (i) Equilibriumof forces and moments(ii) Compatibilityof deformation among members and at supports(iii) Materialbehavior relating stresses with strains(iv) Strain-displacement relations(v) Boundary ConditionsStructural Analysis requires that the equations governing the following physical relationships be satisfied:Primarily two types of methods of Analysis :(Ref: Chapter 10)Displacement ( stiffness ) MethodExpress local (member) Force -displacement relationships in terms of unknown member displacements.
Displacement (Stiffness) Method Express local (member) force -displacement relationships in terms of unknown member displacements. • Using equilibrium of assembled members, find unknown displacements. • • Unknowns are usually displacements Coefficients of the unknowns are "Stiffness" coefficients. • Convert the indeterminate structure to a
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