Matrix analysis of structures is a vital subject to every structural analyst, whether working in aero-astro, civil, or mechanical engineering. It provides a comprehensive approach to the analysis of a wide variety of structural types, and therefore offers a major advantage over traditional metho~ which often differ for each type of structure. The matrix approach also provides an efficient means of describing various steps in the analysis and is easily programmed for digital computers. Use of matrices is natural when performing calculations with a digital computer, because matrices permit large groups of numbers to be manipulated in a simple and effective manner. This book, now in its third edition, was written for both college students and engineers in industry. It serves as a textbook for courses at either the senior or first-year graduate level, and it also provides a permanent reference for practicing engineers. The book explains both the theory and the practical implementation of matrix methods of structural analysis. Emphasis is placed on developing a physical understanding of the theory and the ability to use computer programs for performing structural calculations.

Uses state-of-the-art computer technology to formulate displacement method with matrix algebra. Facilitates analysis of structural dynamics and applications to earthquake engineering and UBC and IBC seismic building codes.

Practical Programming of Finite Element Procedures for Solids and Structures with MATLAB: From Elasticity to Plasticity provides readers with step-by-step programming processes and applications of the finite element method (FEM) in MATLAB®, as well as the underlying theory. The hands-on approach covers a number of structural problems such as linear analysis of solids and structural elements, as well as nonlinear subjects including elastoplasticity and hyperelasticity. Each chapter begins with foundational topics to provide a solid understanding of the subject, then progresses to more complicated problems with supporting examples for constructing the appropriate program. This book focuses on topics commonly encountered in civil, mechanical, and aerospace engineering. Special situations in structural analysis, 2D and 3D solids with various mesh elements, surface and body loading, incremental solution process, elastoplasticity, and finite deformation hyperelastic analysis are covered. Code that can be implemented and further extended is also provided. - Covers both theory and practice of the finite element method (FEM) - Hands-on approach that provides a variety of both simple and complex problems for readers - Includes MATLAB® codes that can be immediately implemented as well as extended by readers to improve their own FEM skills - Provides special cases of structural analysis, elastoplasticity and hyperelasticity problems

Steel Framed Structures contains ten chapters on rigid frames, sway frames, multi-storey frames, interbraced columns and beams, elastic stability, moment-resisting connections, flexibly connected frames, portal frames, and braced arches.

A thorough guide to the fundamentals--and how to use them--of finite element analysis for elastic structures For elastic structures, the finite element method is an invaluable tool which is used most effectively only when one understands completely each of its facets. A Primer for Finite Elements in Elastic Structures disassembles the entire finite element method for civil engineering students and professionals, detailing its supportive theory and its mathematical and structural underpinnings, in the context of elastic structures and the principle of virtual work. The book opens with a discussion of matrix algebra and algebraic equation systems to foster the basic skills required to successfully understand and use the finite element method. Key mathematical concepts outlined here are joined to pertinent concepts from mechanics and structural theory, with the method constructed in terms of one-dimensional truss and framework finite elements. The use of these one-dimensional elements in the early chapters promotes better understanding of the fundamentals. Subsequent chapters describe many two-dimensional structural finite elements in depth, including the geometry, mechanics, transformations, and mapping needed for them. Most chapters end with questions and problems which review the text material. Answers for many of these are at the end of the book. An appendix describes how to use MATLAB(r), a popular matrix-manipulation software platform necessary to perform the many matrix operations required for the finite element method, such as matrix addition, multiplication, inversion, partitioning, rearrangement, and assembly. As an added extra, the m-files discussed can be downloaded from the Wiley FTP server.

This classic text begins with an overview of matrix methods and their application to the structural design of modern aircraft and aerospace vehicles. Subsequent chapters cover basic equations of elasticity, energy theorems, structural idealization, a comparison of force and displacement methods, analysis of substructures, structural synthesis, nonlinear structural analysis, and other topics. 1968 edition.

Beams and Framed Structures, Second Edition deals with the material strength and stiffness of beams and plane frames. The theory of structures, as applied to frames, is examined, with emphasis on bending moments throughout the frame and the resulting deformations. Linear elastic structures and plastic collapse and elastic-plastic structures are considered. Comprised of three chapters, this book begins with an introduction to the basic equations on equilibrium, deformation, virtual work, and the relationship between bending moment and curvature. The next chapter is devoted to elastic beams and frames, with particular reference to the principle of superposition; energy methods for elastic frames; moment distribution; and thermal effects. The final chapter focuses on plastic beams and frames and covers topics such as theorems of plastic collapse; elastic-plastic analysis; deflexions at collapse; and interaction diagrams. Throughout the text, it is assumed that all members of a frame remain stable, so that instability phenomena do not occur. This monograph will be of interest to structural and mechanical engineers.

- Work and energy - Kinematics and equilibrium of systems of rigid bodies - Deformation of bodies and material properties - Theory of elastic deformation of beams - General principles in the analysis of linear elastic structures - Total potential energy - The method of trial functions - Matrix analysis of pin-jointed trussed structures - Matrix analysis of rigid-jointed framed structures - Analysis of thin plates - The theory of finite elements - Stability of equilibrium and non-linear deformations of beam-columns

Building structures are unique in the field of engineering, as they pose challenges in the development and conceptualization of their design. As more innovative structural forms are envisioned, detailed analyses using computer tools are inevitable. This book enables readers to gain an overall understanding of computer-aided analysis of various types of structural forms using advanced tools such as MATLAB®. Detailed descriptions of the fundamentals are explained in a "classroom" style, which will make the content more user-friendly and easier to understand. Basic concepts are emphasized through simple illustrative examples and exercises, and analysis methodologies and guidelines are explained through numerous example problems.