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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)

(iv) Strain -displacement relations (v) Boundary Conditions Structural Analysis requires that the equations governing the following physical relationships be satisfied: Primarily two types of methods of analysis: (Ref: Chapter 10) Displacement (Stiffness) Method Express local (member) force -displacement relationships in terms of unknown member

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