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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 :: Analysis Methods Why to Provide Redundant Members? • To maintain alignment of two members during construction • To increase stability during construction
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