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E-grāmata: Structural Mechanics: Analytical and Numerical Approaches for Structural Analysis [Taylor & Francis e-book]

, , (University of Michigan, USA)
  • Formāts: 250 pages, 15 Tables, black and white; 320 Line drawings, black and white; 320 Illustrations, black and white
  • Izdošanas datums: 16-Jun-2022
  • Izdevniecība: CRC Press
  • ISBN-13: 9781003095699
Citas grāmatas par šo tēmu:
  • Taylor & Francis e-book
  • Cena: 164,53 €*
  • * this price gives unlimited concurrent access for unlimited time
  • Standarta cena: 235,05 €
  • Ietaupiet 30%
  • Formāts: 250 pages, 15 Tables, black and white; 320 Line drawings, black and white; 320 Illustrations, black and white
  • Izdošanas datums: 16-Jun-2022
  • Izdevniecība: CRC Press
  • ISBN-13: 9781003095699
Citas grāmatas par šo tēmu:

This book comprises both basic and advanced topics in structural mechanics. Basic topics include geometric stability, internal forces and deflections of statically determinate structures, force and displacement method, and influence lines. 



This book covers both standard and advanced topics of structural mechanics. Standard subjects covered include geometric stability, forces and displacements of statically determinate structures, force and displacement method, and influence lines. Advanced topics include matrix displacement method, dynamics of structures, and limit loading. The book serves both as a classroom textbook and as a permanent engineering reference. It is written in such a way that it can be followed by anyone with a basic knowledge of classical and material mechanics.

Preface iv
1 Geometric Stability and Types of Structures
1(21)
1.1 Classifications of Structural Members and Connections
1(4)
1.2 Introduction to Geometrically Stable and Unstable Systems
5(1)
1.3 Rigid Degrees of Freedom and Constraints
6(3)
1.4 Rules for Constructing Geometrically Stable Systems
9(7)
1.4.1 Two-Body Rule
9(2)
1.4.2 Three-Body Rule
11(1)
1.4.3 The Dual-Link Rule
12(2)
1.4.4 The Simply-Supported Rule
14(2)
1.5 Examples of Geometric-Stability Analysis
16(6)
2 Internal Forces in Statically Determinate Structures
22(23)
2.1 Analysis of Beams and Frames
22(14)
2.1.1 Properties of Moment Diagrams
22(2)
2.1.2 Constructions of Moment Diagrams by the Superposition Method in Segments
24(5)
2.1.3 Calculations of Internal Forces through Moment Diagrams
29(1)
2.1.4 Analysis of Frames
30(6)
2.2 Analysis of Trusses and Composite Structures
36(4)
2.2.1 Introduction
36(1)
2.2.2 Analysis of Statically Determinate Trusses
36(3)
2.2.3 Analysis of Statically Composite Structures
39(1)
2.3 Analysis of Statically Determinate Arches
40(5)
2.3.1 Comparison of Internal Forces in Arches and the Corresponding Beams
40(2)
2.3.2 The Ideal Axis of Parabolic Arch
42(3)
3 Deflections of Statically Determinate Structures
45(17)
3.1 Virtual-Work Principle for Rigid Bodies and Its Applications
45(6)
3.1.1 Work and Virtual Work
45(1)
3.1.2 Principle of Virtual Displacements for Rigid Bodies
46(3)
3.1.3 Principle of Virtual Forces for Rigid Bodies
49(2)
3.2 Principle of Virtual Forces for Elastic Structures
51(2)
3.3 Deflections Caused by External Loads
53(9)
3.3.1 Calculation of Structural Displacements to Loads by the Unit-Load Method
53(3)
3.3.2 Graphic Multiplication and Its Applications
56(6)
4 Force Method
62(23)
4.1 Statically Indeterminate Structures
62(1)
4.2 General Procedure of the Force Method
63(3)
4.3 Analysis of Statically Indeterminate Structures under Loads
66(2)
4.4 Symmetric Structures and Their Half-Structures
68(10)
4.4.1 Symmetry of Structures, Loads and Responses
68(3)
4.4.2 Half-Structures of Symmetric Structures
71(7)
4.5 Analysis of Statically Indeterminate Structures Having Thermal Changes, Fabrication Errors and Support Settlements
78(2)
4.6 Deflections of Statically Indeterminate Structures
80(5)
5 Displacement Method
85(27)
5.1 Beams with Support Displacements and Slope-Deflection Equations
85(2)
5.2 Displacement Method for Analyzing Frames under Nodal Loads
87(6)
5.2.1 The Procedure Using Slope-Deflection Equations
87(1)
5.2.2 The Procedure Directly Using Primary Systems
88(1)
5.2.3 Unknown Degrees of Freedom of the Displacement Method
89(4)
5.3 The Analysis of Frames Under In-Span Loading
93(5)
5.3.1 Fixed-End Forces
93(2)
5.3.2 Processing of In-Span Loads and Nodal Equivalent Loads
95(3)
5.4 Examples of Frames with In-Span Loads
98(5)
5.5 Moment Distribution Approach
103(9)
5.5.1 Moment Distribution Approach for SDOF Structures
103(2)
5.5.2 Moment Distribution Approach for MDOF Beams
105(7)
6 Influence Lines for Statically Determinate Structures
112(12)
6.1 Introduction
112(1)
6.2 Influence Lines for Beams
112(3)
6.2.1 Constructing Influence Lines by the Principle of Virtual Displacements
113(2)
6.3 Influence Lines for Trusses
115(1)
6.4 Maximum Response at a Specific Point
116(3)
6.4.1 Maximum Response at a Point under Live Loads
116(1)
6.4.2 Maximum Response at a Point under a Set of Concentrated Moving Loads
117(2)
6.5 Moment Envelopes and Absolute Maximum Moments of Members
119(5)
6.5.1 Definition of Moment Envelope
119(1)
6.5.2 Moment Envelopes of Beams under Moving Loads
120(4)
7 Matrix Displacement Analysis
124(35)
7.1 An Introductory Example
124(5)
7.1.1 A Beam Element Type with Two Degree-of-Freedoms (DOFs) -- Beam 1
124(1)
7.1.2 Pre-processing -- Discretizing and Digitizing of the Continuous Beam
125(1)
7.1.3 Calculate the Element Stiffness Matrices of the Continuous Beam
126(1)
7.1.4 Assembling Stiffness Equation of the Structure by the Direct Stiffness Method
126(2)
7.1.5 Solving and Post-processing
128(1)
7.1.6 MATLAB Codes -- Beam 1 Package
129(1)
7.2 Boundary Conditions and the Beam Element with Six DOFs
129(13)
7.2.1 Analyzing an Unrestrained Continuous Beam by Beam2 Element
129(5)
7.2.2 Post-Imposing of Boundary Conditions and Support Settlements
134(8)
7.3 Frames Subjected to Nodal Loading -- Change of Coordinates
142(10)
7.3.1 Introduction
142(1)
7.3.2 Change of Coordinates
142(2)
7.3.3 Element Stiffness Matrices in Global Coordinates and the Assembling Rules
144(1)
7.3.4 Analysis of the Frames Subjected to Nodal Loads
145(7)
7.4 Frames Subjected to In-span Loads and Equivalent Nodal Loads
152(7)
7.4.1 The Equivalent Nodal Loads
152(4)
7.4.2 The Stiffness Equation of the Structure
156(1)
7.4.3 The End Displacement and Forces of the Structure
157(2)
8 Dynamics of Structures
159(72)
8.1 Introduction to Structural Dynamics
159(8)
8.1.1 What is Structural Dynamics?
159(1)
8.1.2 Models for Dynamic Analysis
160(2)
8.1.3 Equations of Motion and Initial Conditions
162(2)
8.1.4 Free Vibrations and Dynamic Properties
164(1)
8.1.5 Dynamic Responses to External Excitations
165(2)
8.1.6 Summary
167(1)
8.2 Equations of Motion
167(24)
8.2.1 Stiffness Method: The Dynamic-Equilibrium Procedure
167(3)
8.2.2 Stiffness Method: The Virtual Constraint Approach
170(6)
8.2.3 Flexibility Method to Formulate Equations of Motion
176(3)
8.2.4 Stiffness Method: The Matrix Displacement Approach and Static Condensation
179(9)
8.2.5 Damping in Structures
188(3)
8.3 Dynamic Properties of Structures
191(16)
8.3.1 Vibrations of SDOF Systems: Natural Frequency and Damping Ratio
191(7)
8.3.2 Undamped Free Vibrations of MDOF Systems: Normal Modes
198(4)
8.3.3 Properties of Modes
202(3)
8.3.4 Rayleigh Damping Matrix
205(2)
8.4 Analysis of Dynamic Responses Using the Mode Superposition Method
207(14)
8.4.1 Transient Responses of Uncoupled MDOF Systems to Combined Excitations
207(5)
8.4.2 Steady-State Responses of Uncoupled MDOF Systems to Combined Excitations
212(3)
8.4.3 Responses of Coupled MDOF Systems: Mode Superposition Method
215(6)
8.5 Analysis of the Dynamic Response Using the MATLAB ODE Solver: "ode45"
221(1)
8.6 Steady-State Responses to Separable Excitations
222(5)
8.6.1 Response Spectra
224(1)
8.6.2 Peak Responses to Separable Excitations and Modal Combination Rules
225(2)
8.7 Appendix for Structural Dynamics
227(4)
8.7.1 Steady-State Responses to Space-time Coupled Excitations
227(4)
9 Limit Loads of Structures
231(14)
9.1 Introduction
231(4)
9.2 Theorems of Plasticity
235(1)
9.3 Applications of the Upper Bound Theorem
236(4)
9.4 Limit Analysis by Linear Programing
240(5)
Appendix 245(2)
Index 247
Lingyi Lu (1963 - 2019) was a Professor in the School of Civil Engineering at Southeast University Nanjing, Jiangsu, China, which he joined in 1994 after obtaining his PhD from the Department of Modern Mechanics at University of Science and Technology of China. His research interests included Nonlinear Dynamics, Random Vibration Theory and their application in Wind Engineering and Seismic Engineering. Professor Lus research covers a wide range of projects sponsored by the National Natural Science Foundation of China, the National Program on Key Basic Research Projects of China (973 Programs), and the Science Foundation of Ministry of Education of China. The results of his research have also been applied in the design standard of the first AP1000 nuclear power plant in the world, the analysis of the largest crane project in Asia 1200-ton Hadi Power Harbor Base, and the construction of the highest special-shaped concrete chimney in China.

Junbo Jia is an engineering expert at Aker Solutions, Norway. He has been extensively involved in engineering projects for offshore and energy industries, associated with different types of offshore and onshore infrastructures. He is a committee member of ISO TC67/SC7 Offshore Structures and an invited expert group member of Eurocode 3. He currently serves as the general secretary of the International Seismic Safety Organization (ISSO) and advisory committee members of several international scientific organizations. He is the sole author of 3 scientific monographs by Springer and also has an edited volume with CRC Press. He is listed in several global versions of the Whos Who publications. Dr. Jia is an elected member of the Norwegian Academy of Technological Sciences (2019).

Zhuo Tang is currently a Research Scientist in the National Wind Institute at Texas Tech University. Before working at Texas Tech University, Dr. Tang was a researcher at Zhengzhou University, Henan, China, after obtaining his Ph.D. from Southeast University, Nanjing, China. His main research interests are wind effects on engineering structures. He is particularly interested in the research of non-synoptic extreme winds, such as tornadoes and downbursts, and their loading on structures. These interests stem from his time as a Ph.D. student, when he worked on his dissertation on tornado loading of major structures in a nuclear power plant, which is the first AP1000 nuclear power plant in the world, designed by Westinghouse Electric Corporation.