Phys-Base Computation Method Nonlnr Frame Structur & Plates eBook

This book is an updated, accessible approach to nonlinear structural analysis, focusing on the physical interpretation of nonlinear behaviors in framed structures. Unlike its predecessor, which was mathematically oriented, this revised edition simplifies the analysis by using the universally valid 'rigid body rule,' emphasizing physical understanding over intricate mathematical formulations.

Covering key structural forms — plane and space trusses, plane and space frames — the book addresses nonlinearities that occur in structures due to large deformations under loads. By employing the finite element method (FEM), specifically the stiffness-based formulation, the work offers practical insights into nonlinear behaviors, including buckling, geometric stiffness, and the unique 3D rotational behavior of moments. Throughout, clear examples and closed-form solutions enhance understanding, and guidance on path-tracing methods addresses challenges like postbuckling and critical points.

This book is ideal for researchers, practicing engineers, and students aiming for a practical, physically grounded perspective on nonlinear structural analysis, particularly for complex framed structures where traditional FEM approaches fall short.

Contents:

• Introduction
• Linear Analysis as a Prerequisite
• Rigid Body Rule and Plane Frame Element
• Fundamentals of Nonlinear Theory of Space Frames
• Stiffness Matrices of Space Frame Element
• Incremental-Iterative Nonlinear Analysis
• Rigid Triangular Plate Element for Geometric Nonlinear Analysis of Frames, Plates, and Shells
• Analytical Solutions for Buckling of Some Simple Plane Frames
• Appendices:
  • List of Integral Matrices
  • Geometry Updating of Space Frame Element Involving Finite Rotations and Calculation of Element Forces
  • Geometric Stiffness Matrix for the Rigid TPE

Readership: Senior undergraduate and graduate students, researchers and practitioners in the fields of structural engineering, mechanics, and civil engineering.