10. STATIC INDETERMINANCY; FLEXIBILITY METHOD
Statically indeterminate structures exhibit more unknowns than the equations available to solve them, allowing for lower internal forces and increased safety due to redundancy. However, their analysis is more complex and requires satisfying conditions of equilibrium, force-displacement relationships, and compatibility of displacements. The chapter introduces the flexibility method for analyzing such structures through examples like a cable-supported plate and a propped cantilever beam.
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What we have learnt
- Statically indeterminate structures have advantages such as lower internal forces and safety in redundancy.
- The analysis methods must comply with equilibrium, compatibility, and force-displacement principles.
- The flexibility method is a primary technique used for analyzing indeterminate structures.
Key Concepts
- -- Statically Indeterminate Structure
- A structure with more unknown forces than available equations of equilibrium.
- -- Flexibility Method
- A method for analyzing statically indeterminate structures relying on compatibility of displacements and force-displacement relationships.
- -- Displacement Compatibility
- The requirement that displacements in a structure are continuous and free of discontinuities.
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