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Structure Analysis I

Explore the concepts of statically determinate and indeterminate structures, idealized structure analysis, equilibrium equations, determinacy, and stability. Learn about support connections, types of supports, and classify structures based on stability.

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Structure Analysis I

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  1. Structure Analysis I

  2. Lecture 3 Analysis of Statically Determinate Structures

  3. Idealized Structure In real sense exact analysis of a structure can never be carried out.

  4. Support connection Pin support and pin connection

  5. Fixed support & fixed connection

  6. Roller support

  7. Support for coplanar structures

  8. Idealized Structure

  9. Equation of Equilibrium In x-y plane Internal loading

  10. Determinacy & Stability Determinacy: when all the forces in structure can be determined from equilibrium equation , the structure is referred to as statically determinate. Structure having more unknown forces than available equilibrium equations called statically indeterminate If n is number of structure parts & r is number of unknown forces: r = 3n, statically determinate r > 3n, statically indeterminate

  11. Classify determinate & indeterminate structure

  12. Stability Partial Constraints

  13. Improper Constraints This can occur if all the support reactions are concurrent at a point.

  14. This can occur also when the reactive forces are all parallel In General r < 3n, Then the structure is Unstable r >= 3n, Also, Unstable if member reactions are concurrent or parallel or some of the components form a collapsible mechanism

  15. Classify The structure Stable or Unstable

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