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Cover image for Introduction to structural analysis : displacement and force methods
Title:
Introduction to structural analysis : displacement and force methods
Personal Author:
Publication Information:
Boca Raton, Fla. : CRC Press, c2012
Physical Description:
ix, 318 p. : ill. (some col.) ; 24 cm.
ISBN:
9781466504165

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Material Type
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30000010306222 TA645 M384 2012 Open Access Book Book
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Summary

Summary

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.


Author Notes

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.


Table of Contents

Prefacep. vii
Acknowledgmentsp. ix
1 Truss Analysis: Matrix Displacement Methodp. 1
1.1 What Is a Truss?p. 1
1.2 A Truss Memberp. 2
1.3 Member Stiffness Equation in Global Coordinatesp. 4
1.4 Unconstrained Global Stiffness Equationp. 11
1.5 Constrained Global Stiffness Equations and Its Solutionp. 17
1.6 Procedures of Truss Analysisp. 19
1.7 Kinematic Stabilityp. 26
1.8 Summaryp. 28
2 Truss Analysis: Force Method-Part Ip. 31
2.1 Introductionp. 31
2.2 Statically Determinate Plane Truss Typesp. 32
2.3 Method of Joints and Method of Sectionsp. 34
2.4 Matrix Method of Jointsp. 55
3 Truss Analysis: Force Method-Part IIp. 67
3.1 Truss Deflectionp. 67
3.2 Indeterminate Truss Problems: Method of Consistent Deformationsp. 81
3.3 Laws of Reciprocityp. 87
3.4 Concluding Remarksp. 89
4 Beam and Frame Analysis: Force Method-Part Ip. 91
4.1 What Are Beams and Frames?p. 91
4.2 Statical Determinacy and Kinematic Stabilityp. 92
4.3 Shear and Moment Diagramsp. 98
4.4 Statically Determinate Beams and Framesp. 105
5 Beam and Frame Analysis: Force Method-Part IIp. 117
5.1 Deflection of Beams and Framesp. 117
5.2 Integration Methodsp. 118
5.3 Energy Methodsp. 127
5.4 Frame Deflectionp. 138
6 Beam and Frame Analysis: Force Method-Part IIIp. 145
6.1 Statically Indeterminate Beams and Framesp. 145
6.2 Indeterminate Beam Analysisp. 145
6.3 Indeterminate Frame Analysisp. 154
7 Beam and Frame Analysis: Displacement Method-Part Ip. 165
7.1 Introductionp. 165
7.2 Moment Distribution Methodp. 165
8 Beam and Frame Analysis: Displacement Method-Part IIp. 197
8.1 Slope-Deflection Methodp. 197
8.2 Matrix Stiffness Analysis of Framesp. 218
9 Influence Linesp. 233
9.1 What Is an Influence Line?p. 233
9.2 Beam Influence Linesp. 234
9.3 Truss Influence Linesp. 244
10 Other Topicsp. 253
10.1 Introductionp. 253
10.2 Non-Prismatic Beam and Frame Membersp. 253
10.3 Effects of Support Movement, Temperature, and Construction Errorp. 257
10.4 Secondary Stresses in Trussesp. 263
10.5 Composite Structuresp. 265
10.6 Materials Nonlinearityp. 267
10.7 Geometric Nonlinearityp. 268
10.8 Structural Stabilityp. 271
10.9 Dynamic Effectsp. 273
10.10 Finite Element Methodp. 276
Appendix A Matrix Algebra Reviewp. 279
Appendix B Supplementary Review Notesp. 289
Indexp. 315
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