Kim Y. Analysis of Thin-Walled Beams 2023

Textbook in PDF format

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.
Introduction
Torsional Warping and Torsional Distortion as Fundamental Deformable Section Modes
One-Dimensional Governing Equations and Finite Element Formulation
Sectional Shape Functions for a Box Beam Under Torsion: Membrane Field
Sectional Shape Functions for a Box Beam Under Torsion: Wall-Bending Field
Sectional Shape Functions for a Box Beam Under Extension
Sectional Shape Functions for a Box Beam Under Flexure
Bridging Between Rectangular Cross-Sections and Generally Shaped Cross-Sections
Sectional Shape Functions of Thin-Walled Beams with General Cross-Section Shapes
Joint Structures of Box Beams
Joint Structures of Thin-Walled Beams with General Section Shapes