Statically Indeterminate Structure

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: More unknowns than equations: Statically IndeterminateStatically Indeterminate Structure1ME101 -Division IIIKaustubh DasguptaPlane Truss :: DeterminacyNo. of unknown reactions = 3No. of equilibrium equations = 3: Statically Determinate(External)No. of members (m) = 9No. of joints (j) = 6No. of unknown reactions (R) = 3 m + R = 2j: Statically Determinate( internal )2ME101 -Division IIIKaustubh DasguptaPlane Truss :: Determinacy3ME101 -Division IIIKaustubh DasguptaPresence of internal members: Additional sharing for forces: Additional StabilityFCFurther addition of internal members: Strengtheningof Joints C and F: Additional Stability and force sharing: m + R >2j: Statically Indeterminate ( internal )Plane Truss :: DeterminacyWhen more number of members/supports are present than are needed to prevent collapse/stability Statically Indeterminate Truss cannot be analysed using equations of equilibrium alone! additional members or supports which are not necessary for maintaining the equilibrium configuration RedundantExternaland internal RedundancyExtra Supportsthan required External Redundancy Degree of indeterminacy from available equilibrium equationsExtra Membersthan required internal Redundancy4ME101 -Division IIIKaustubh DasguptaPlane Truss :: DeterminacyInternal Redundancy or Degree of internal Static IndeterminacyExtra Members than required internal R

Plane Truss :: Determinacy ME101 - Division III Kaustubh Dasgupta 3 Presence of internal members: Additional sharing for forces: Additional Stability F C Further addition of internal members

  Internal, Force, Statically, Indeterminate, Statically indeterminate