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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!

Static Determinacy of Space Truss Six equilibrium equations available to find out support reactions if these are sufficient to determine all support reactions The space truss is Statically Determinate Externally Equilibrium of each joint can be specified by three scalar force equations 3j equations for a truss with “j” number of joints

  Determinacy

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