Statically Indeterminate Structure

: More unknowns than equations: Statically IndeterminateStatically Indeterminate Structure1ME101 -Division IIIK austubh 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 IIIK austubh DasguptaPlane Truss :: Determinacy3ME101 -Division IIIK austubh 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 IIIK austubh DasguptaPlane Truss :: DeterminacyInternal Redundancy or Degree of Internal Static IndeterminacyExtra Members than required Internal RedundancyEquilibrium of each joint can be specified by two scalar force equations 2j equ

Plane Truss :: Determinacy When more number of members/supports are present than are needed to prevent collapse/stability Statically Indeterminate Truss

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