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The chapter explores the stiffness vs flexibility methods in structural analysis, highlighting their distinctions in terms of primary variables and governing relations. It introduces methods for analyzing structures with kinematic relations, emphasizing the development of equations for force-displacement relationships and discussing traditional methodologies like slope deflection and moment distribution. The chapter concludes with practical applications of these methods in solving real-world engineering problems.
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References
12.pdfClass Notes
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Term: Static Indeterminancy
Definition: A condition in structural analysis where the number of unknown reactions exceeds the number of available equilibrium equations.
Term: Kinematic Indeterminancy
Definition: Refers to the number of independent displacements or rotations that can occur in a structure.
Term: Slope Deflection Method
Definition: An analysis technique that results in linear equations involving displacements and internal forces based on beam deflection.
Term: Moment Distribution Method
Definition: An iterative approach used to evaluate displacements and internal moments in continuous beams.
Term: Direct Stiffness Method
Definition: A matrix-based formulation of the stiffness method, facilitating powerful computational structural analysis.