Book contents
- Frontmatter
- Contents
- Preface
- Acknowledgements
- Author’s Note
- Part I Simple Structures
- Part II Truss Frameworks
- Part III Beams and Frames: Character
- Part IV Beams and Frames: Analysis
- Part V Design Choices
- 13 Bending vs Stretching
- 14 Cross-Sectional Stiffness
- 15 Cross-Sectional Strength
- 16 Back of the Envelope: Beam Design by Lower Bound
- 17 The Third Dimension
- Part VI Deliberately Deformed
- Further Reading
- Index
15 - Cross-Sectional Strength
from Part V - Design Choices
Published online by Cambridge University Press: 06 January 2022
- Frontmatter
- Contents
- Preface
- Acknowledgements
- Author’s Note
- Part I Simple Structures
- Part II Truss Frameworks
- Part III Beams and Frames: Character
- Part IV Beams and Frames: Analysis
- Part V Design Choices
- 13 Bending vs Stretching
- 14 Cross-Sectional Stiffness
- 15 Cross-Sectional Strength
- 16 Back of the Envelope: Beam Design by Lower Bound
- 17 The Third Dimension
- Part VI Deliberately Deformed
- Further Reading
- Index
Summary
Calculating the fully plastic response of a cross-section is often couched in exact terms, which may prove cumbersome for non-standard cross-sections. This approach is manifestly the method of Lower Bound and may be re-interpreted by searching for simpler but valid equilibrium solutions for the stress-resultants on the critical cross-section; the case of plastic biaxial bending provides an example. Simple joint design according to Lower Bound then follows.
- Type
- Chapter
- Information
- Solving Problems of Simple Structural Mechanics , pp. 123 - 132Publisher: Cambridge University PressPrint publication year: 2022