Introduction to Structural Analysis: Displacement and Force Methods, 1st Edition (Hardback) book cover

Introduction to Structural Analysis

Displacement and Force Methods, 1st Edition

By S. T. Mau

CRC Press

328 pages | 522 B/W Illus.

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Bridging the gap between what is traditionally taught in textbooks and what is actually practiced in engineering firms, Introduction to Structural Analysis: Displacement and Force Methods clearly explains the two fundamental methods of structural analysis: the displacement method and the force method. It also shows how these methods are applied, particularly to trusses, beams, and rigid frames.

Acknowledging the fact that virtually all computer structural analysis programs are based on the matrix displacement method of analysis, the text begins with the displacement method. A matrix operations tutorial is also included for review and self-learning. To minimize any conceptual difficulty readers may have, the displacement method is introduced with the plane truss analysis and the concept of nodal displacement.

The book then presents the force method of analysis for plane trusses to illustrate force equilibrium, deflection, statistical indeterminacy, and other concepts that help readers to better understand the behavior of a structure. It also extends the force method to beam and rigid frame analysis. Toward the end of the book, the displacement method reappears along with the moment distribution and slope-deflection methods in the context of beam and rigid frame analysis. Other topics covered include influence lines, non-prismatic members, composite structures, secondary stress analysis, and limits of linear and static structural analysis.

Integrating classical and modern methodologies, this book explains complicated analysis using simplified methods and numerous examples. It provides readers with an understanding of the underlying methodologies of finite element analysis and the practices used by professional structural engineers.


"This book covers most important materials of a first course on structural analysis. It is organized logically, presented concisely and written well. Classical analysis methods and modern matrix stiffness methods are of good balance. … a very readable textbook."

—Liang-Jenq Leu, Department of Civil Engineering, National Taiwan University, Taiwan

"This book has two important features that make it unique - Both the force and displacement methods of analysis are given equal emphasis, and the matrix method is introduced at a very early stage. While the force method is important for students to learn how structures behave, the displacement method on which the matrix method is based has indubitable practical significance. Dr. Mau has done a superb job in espousing both theory and practice in his textbook."

—Eric Lui, Syracuse University, New York, USA

Table of Contents

Truss Analysis: Matrix Displacement Method

What Is a Truss?

A Truss Member

Member Stiffness Equation in Global Coordinates

Unconstrained Global Stiffness Equation

Constrained Global Stiffness Equation and Its Solution

Procedures of Truss Analysis

Kinematic Stability


Truss Analysis: Force Method—Part I


Statically Determinate Plane Truss Types

Method of Joints and Method of Sections

Matrix Method of Joints

Truss Analysis: Force Method—Part II

Truss Deflection

Indeterminate Truss Problems: Method of Consistent Deformations

Laws of Reciprocity

Concluding Remarks

Beam and Frame Analysis: Force Method—Part I

What Are Beams and Frames?

Statical Determinacy and Kinematic Stability

Shear and Moment Diagrams

Statically Determinate Beams and Frames

Beam and Frame Analysis: Force Method—Part II

Deflection of Beams and Frames

Integration Methods

Energy Methods

Frame Deflection

Beam and Frame Analysis: Force Method—Part III

Statically Indeterminate Beams and Frames

Indeterminate Beam Analysis

Indeterminate Frame Analysis

Beam and Frame Analysis: Displacement Method—Part I


Moment Distribution Method

Beam and Frame Analysis: Displacement Method—Part II

Slope-Deflection Method

Matrix Stiffness Analysis of Frames

Influence Lines

What Is an Influence Line?

Beam Influence Lines

Truss Influence Lines

Other Topics


Non-Prismatic Beam and Frame Members

Effects of Support Movement, Temperature, and Construction Error

Secondary Stresses in Trusses

Composite Structures

Materials Nonlinearity

Geometric Nonlinearity

Structural Stability

Dynamic Effects

Finite Element Method

Appendix A: Matrix Algebra Review

Appendix B: Supplementary Review Notes

About the Author

S.T. Mau, PhD, PE, is a professor in the Department of Civil Engineering and Applied Mechanics at California State University, Northridge. He was formerly Dean of Engineering at New Jersey Institute of Technology and California State University, Northridge, and department chair at National Taiwan University and University of Houston. He is also the co-author of a previous textbook, Elementary Theory of Structures, Fourth Edition (1995), and a recipient of the Moisseiff Award of the American Society of Civil Engineers.

Subject Categories

BISAC Subject Codes/Headings:
TECHNOLOGY & ENGINEERING / Construction / General