Book contents
- Frontmatter
- Contents
- Preface
- Acknowledgements
- Author’s Note
- Part I Simple Structures
- Part II Truss Frameworks
- 4 Statical (In)determinacy in Trusses
- 5 Virtual Work for Trusses
- 6 Why Does the Lower Bound Theorem Work?
- Part III Beams and Frames: Character
- Part IV Beams and Frames: Analysis
- Part V Design Choices
- Part VI Deliberately Deformed
- Further Reading
- Index
6 - Why Does the Lower Bound Theorem Work?
from Part II - Truss Frameworks
Published online by Cambridge University Press: 06 January 2022
Book contents
- Frontmatter
- Contents
- Preface
- Acknowledgements
- Author’s Note
- Part I Simple Structures
- Part II Truss Frameworks
- 4 Statical (In)determinacy in Trusses
- 5 Virtual Work for Trusses
- 6 Why Does the Lower Bound Theorem Work?
- Part III Beams and Frames: Character
- Part IV Beams and Frames: Analysis
- Part V Design Choices
- Part VI Deliberately Deformed
- Further Reading
- Index
Summary
The method of Lower Bound analysis is often taught as a curious equilibrium response or with strict adherence to mathematical formalism. The exact behaviour of a truss loaded to failure is presented first so that the character of a Lower Bound approach may be compared later; in particular, why ductility is vital for valid equilibrium solutions and for redistributing bar forces under increasing load.
- Type
- Chapter
- Information
- Solving Problems of Simple Structural Mechanics , pp. 46 - 52Publisher: Cambridge University PressPrint publication year: 2022