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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!

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: Strengthening of Joints …

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