Analysis of Thin-Walled Beams

by Yoon Young Kim, Gang-Won Jang, Soomin Choi

Overview

This book presents a comprehensive introduction to an advanced beam theory applicable to thin-walled beams of rectangular and arbitrarily-shaped cross-sections. Furthermore, it describes a unique beam-based approach to handling joint structures consisting of thin-walled beams, compiled here for the first time.

This higher-order beam theory (HoBT), developed by the authors over the past two decades, uses more than six degrees of freedom (DOFs) in contrast to the classical theories, which use only six DOFs. The additional degrees of freedom describe sectional deformations such as warping and distortion. This book presents a novel systematic procedure to derive the sectional deformations analytically for rectangular cross-sections and numerically for arbitrarily-shaped cross-sections.

This book is a must for structural/mechanical engineers who wish to understand and design structures involving thin-walled beams.

Product Details

ISBN-13:	9789811977718
Publisher:	Springer Nature Singapore
Publication date:	05/20/2023
Series:	Solid Mechanics and Its Applications , #257
Edition description:	1st ed. 2023
Pages:	373
Product dimensions:	6.10(w) x 9.25(h) x (d)

About the Author

Dist. Prof. Yoon Young Kim obtained his BS and MS degrees in Mechanical Design and Production Engineering from SNU (Seoul National University) in 1981 and 1983. He earned his Ph.D. degree from Stanford University in 1989. He joined SNU in 1991 as a faculty member and is now a distinguished professor at SNU.

Prof. Gang Won Jang is a professor of Mechanical Engineering at Sejong University. He obtained his BS and MS degrees in the Department of Mechanical and Aerospace Engineering at SNU. He continued his Ph.D. at the same university and earned the degree in 2004. He started his academic career by joining Kunsan National University as an assistant professor in 2004. He was a postdoctoral researcher at the Technical University of Delft in 2008.

Prof. Soomin Choi is an assistant professor of Mechanical Engineering at Kyungpook National University. He received his Ph.D. in Mechanical and Aerospace Engineering at SNU in 2016.

Table of Contents

Preface.

1 Introduction.

1.1. Overview. 1.2. Vlasov Beam Theory. 1.3. Higher-Order Beam Theory (HoBT). 1.4. Other Beam Theories (GBT, VABS, CUF, GE). 1.5. Analysis of Beams of Arbitrary Sections.

Part I Thin-walled Beams of Rectangular Cross Section.

2 Higher-Order Beam Theory for Straight Box Beams.

2.1. Introduction. 2.2. Basic Concept and Field Equation. 2.3. Sectional Shape Functions. 2.4. Analysis of Stress and Displacement. 2.5. MATLAB Code for Higher-Order Beam Analysis of Straight Box Beams. 2.6. Summary.

3 Joint Matching Matrix Approach.

3.1. Why Joint Matching Matrix? 3.2. Derivation of Joint Matching Matrix. 3.3. Applications of Joint Matching Matrix. 3.4. MATLAB Code for Analysis of Angled/Curved/Tapered Box Beam Structures. 3.5. Summary.

4 Multiply-Connected Box Beam Systems under Out-of-Plane Loads.

4.1. Introduction. 4.2. Edge Re

sultants. 4.3. Three Box Beam Systems. 4.4. More-Than-Three Box Beam Systems. 4.5. MATLAB Code for Analysis of Multiply-Connected Box Beam Systems Under Out-of-Plane Loads. 4.6. Summary.

5 Multiply-Connected Box Beam Systems under In-Plane Loads.

5.1. Introduction. 5.2. Derivation of Edge Resultants. 5.3. Three Box Beam Systems. 5.4. More-Than-Three Box Beam Systems. 5.5. More-Than-Three Box Beam Systems Under Both In-Plane and Out-of-Plane Loads. 5.6. MATLAB Code for Analysis of Multiply-Connected Box Beam Systems Under Both In-Plane and Out-of-Plane Loads. 5.7. Summary.

Part II Analysis of Arbitrarily Sectioned Beams.

6 Straight Beams of Arbitrarily Shaped Sections.

6.1. Sectional shape functions for quadrilateral cross-sections. 6.2. Sectional shape functions for arbitrary cross-sections. 6.3. MATLAB code for section analysis. 6.4 Summary.

7 Arbitrarily Sectioned Beams o

f Varying Profiles.

7.1. Interpolating displacements at an arbitrary point. 7.2. Finite element formulation. 7.3. Examples. 7.4. Summary.

8 Analysis for Arbitrarily-Connected Beam Joints and Beam-Panel Structures.

8.1 Arbitrarily-Connected Beam Joints – Modeling with Beam and Shell Joint. 8.2 Beam-Panel Structures. 8.3 Examples. 8.4 Summary.

Appendix.

References.

Index.