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.)
For determinate structures, the force method allows us to find internal forces (using equilibrium i.e. based on Statics) irrespective of the material information. Material (stress -strain) relationships are needed only to calculate deflections. However, for indeterminate structures , Statics (equilibrium) alone is not sufficient to conduct
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