Transcription of Force Method for Analysis of Indeterminate Structures
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Force Method for Analysis of Indeterminate Structures
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.
Influence lines for Indeterminate structures For statically determinate structures, influence lines are straight. For statically indeterminate structures, influence lines are usually curved. The Müller -Breslau principle also holds for indeterminate structures. Examples : Reaction Ay Shear at a point: Moment at a point ForceMethod Page 20
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