Structural Engineering - Vol 1 | 12. KINEMATIC INDETERMINANCY; STIFFNESS METHOD by Abraham | Learn Smarter
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12. KINEMATIC INDETERMINANCY; STIFFNESS METHOD

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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Sections

  • 12

    Kinematic Indeterminancy; Stiffness Method

    This section introduces the concepts of kinematic indeterminacy and the stiffness method in structural analysis, contrasting it with the flexibility method.

  • 12.1

    Introduction

    This section introduces the concepts of stiffness and flexibility in structural analysis, highlighting the fundamental differences between the two methodologies.

  • 12.1.1

    Stiffness Vs Flexibility

    This section outlines the key differences between stiffness and flexibility methods in structural analysis, focusing on their definitions, applications, and roles in understanding structural behavior.

  • 12.2

    Degrees Of Freedom

    This section discusses the concept of Degrees of Freedom (DOF) in structural analysis, detailing how independent displacements influence structural behavior.

  • 12.2.1

    Methods Of Analysis

    This section describes three primary methods of stiffness-based analysis for structural engineering: Slope Deflection, Moment Distribution, and Direct Stiffness.

  • 12.3

    Kinematic Relations

    This section introduces kinematic relations in the context of the stiffness method of structural analysis, focusing on the development of force-displacement relationships.

  • 12.3.1

    Force-Displacement Relations

    This section introduces the foundational concept of force-displacement relations in the stiffness method of structural analysis.

  • 12.5

    Moment Distribution; Indirect Solution

    This section describes the moment distribution method for analyzing indeterminate structures, focusing on the iterative process for calculating internal moments and ensuring equilibrium.

References

12.pdf

Class Notes

Memorization

What we have learnt

  • The stiffness method focuse...
  • Static indeterminancy arise...
  • Different structural analys...

Final Test

Revision Tests