Structural Engineering - Vol 1 | 10. STATIC INDETERMINANCY; FLEXIBILITY METHOD by Abraham | Learn Smarter
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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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Sections

  • 10

    Static Indeterminancy; Flexibility Method

    This section introduces statically indeterminate structures, highlighting their advantages and complexities, while emphasizing the flexibility method for analysis.

    Learning Practice

  • 10.1

    Introduction

    This section introduces statically indeterminate structures, emphasizing their benefits and disadvantages, and outlines the analysis methods for these structures.

    Learning Practice

  • 10.3

    Short-Cut For Displacement Evaluation

    This section introduces a shortcut method for evaluating displacements in statically indeterminate structures using the flexibility method.

    Learning Practice

  • 10.4

    Examples

    This section presents various examples demonstrating the analysis of statically indeterminate structures.

    Learning Practice

  • 10.1.1

    Analysis Methods Of Statically Indeterminate Structures

    This section covers the analysis methods for statically indeterminate structures, outlining their advantages, disadvantages, and requirements for equilibrium, compatibility, and force-displacement relations.

    Learning Practice

  • 10.1.1.1

    Equilibrium

    This section introduces statically indeterminate structures and the concepts of equilibrium in structural analysis.

    Learning Practice

  • 10.1.1.2

    Force-Displacement (Or Stress-Strain) Relations

    This section outlines the importance of force-displacement and stress-strain relations in statically indeterminate structures, which are critical for understanding internal force distribution.

    Learning Practice

  • 10.1.1.3

    Compatibility Of Displacements

    This section discusses the importance of compatibility of displacements in statically indeterminate structures, emphasizing its role in structural analysis.

    Learning Practice

  • 10.1.2

    Classes Of Solution

    This section introduces the classes of solution in the analysis of statically indeterminate structures, focusing on the flexibility and stiffness methods.

    Learning Practice

References

10.pdf

Class Notes

Memorization

What we have learnt

  • Statically indeterminate st...
  • The analysis methods must c...
  • The flexibility method is a...

Final Test

Revision Tests