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E-raamat: Matrix Methods for Advanced Structural Analysis

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(Institute of Structural Analysis and Seismic Research, National Technical University of Athens, Greece), (National Technical University of Athens, Greece)
  • Formaat: PDF+DRM
  • Ilmumisaeg: 13-Nov-2017
  • Kirjastus: Butterworth-Heinemann Inc
  • Keel: eng
  • ISBN-13: 9780128118825
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Matrix Methods for Advanced Structural AnalysisSuurem pilt
  • Formaat: PDF+DRM
  • Ilmumisaeg: 13-Nov-2017
  • Kirjastus: Butterworth-Heinemann Inc
  • Keel: eng
  • ISBN-13: 9780128118825
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Matrix Methods for Advanced Structural Analysis covers in detail the theoretical concepts related to rockbursts, and introduces the current computational modeling techniques and laboratory tests available. The second part is devoted to case studies in mining (coal and metal) and tunneling environments worldwide. The third part covers the most recent advances in measurement and monitoring.

Special focus is given to the interpretation of signals and reliability of systems. The following part addresses warning and risk mitigation through the proposition of a single risk assessment index and a comprehensive warning index to portray the stress status of the rock and a successful case study. The final part of the book discusses mitigation including best practices for distressing and efficiently supporting rock.

  • Provides a brief historical overview of methods of static analysis, programming principles and suggestions for the rational use of computer programs
  • Provides MATLAB® oriented software for the analysis of beam-like structures
  • Covers the principal steps of the Direct Stiffness Method presented for plane trusses, plane framed structures, space trusses and space framed structures

Muu info

This pragmatic guide uses case studies to provide a systematic approach for analyzing determinate and indeterminate rock structures
Foreword ix
1 Introduction to Matrix Methods of Structural Analysis
1(16)
1.1 Overview of Matrix Structural Analysis and Design
1(1)
1.2 Matrix Structural Analysis and Design Procedure
2(2)
1.3 Primary Structural Members and their Modeling---Matrix Structural Analysis Steps
4(3)
1.4 Brief Historical Overview of Matrix Structural Analysis
7(1)
1.5 Flexibility-Stiffness Methods
8(6)
1.6 Basic Steps of Programming the Direct Stiffness Method
14(3)
2 Plane Trusses
17(60)
2.1 Introduction
17(5)
2.2 Overview of the Plane Truss
22(1)
2.3 Vectors of End-Actions of Plane Truss Element
23(2)
2.4 End-Translation Vectors of Plane Truss Element
25(1)
2.5 Transformation Matrix of Plane Truss Element
26(5)
2.6 Total Local Stiffness Matrix of Plane Truss Element
31(3)
2.7 Total Global Stiffness Matrix of Plane Truss Element
34(4)
2.8 Vectors of Nodal-Forces and Nodal-Translations of Plane Truss
38(2)
2.9 Global Stiffness Matrix of Plane Trusses
40(7)
2.10 Modification of Global Stiffness Matrix Due to Support Conditions---Reordering Matrix
47(7)
2.11 Modification of Global Stiffness Matrix of a Plane Truss Due to Inclined and Elastic Supports
54(11)
2.12 Plane Truss Subjected to Member Loading
65(9)
2.13 Stress Resultants of Plane Truss Members
74(3)
3 Plane Frames
77(62)
3.1 Introduction
77(3)
3.2 Overview of the Plane Frame
80(2)
3.3 Vectors of End-Actions of Plane Frame Element
82(2)
3.4 End-Displacement Vector of Plane Frame Element
84(2)
3.5 Transformation Matrix of Plane Frame Element
86(4)
3.6 Total Local Stiffness Matrix of Plane Frame Element
90(4)
3.7 Total Global Stiffness Matrix of Plane Frame Element
94(3)
3.8 Vectors of Nodal-Forces and Nodal-Displacements of Plane Frame
97(3)
3.9 Global Stiffness Matrix of Plane Frames
100(6)
3.10 Modification of Global Stiffness Matrix Due to Support Conditions---Reordering Matrix
106(7)
3.11 Modification of Global Stiffness Matrix of a Plane Frame Due to Inclined And Elastic Supports
113(13)
3.12 Plane Frame Subjected to Member Loading
126(10)
3.13 Stress Resultants of Plane Frame Members
136(3)
4 Spatial Trusses
139(28)
4.1 Introduction
139(1)
4.2 Overview of Spatial Truss
140(2)
4.3 Vectors of End-Actions of Spatial Truss Element
142(2)
4.4 End-Translation Vectors of Spatial Truss Element
144(1)
4.5 Transformation Matrix of Spatial Truss Element
145(5)
4.6 Total Local Stiffness Matrix of Spatial Truss Element
150(2)
4.7 Total Global Stiffness Matrix of Spatial Truss Element
152(4)
4.8 Vectors of Nodal-Forces and Nodal-Translations of Spatial Truss
156(2)
4.9 Global Stiffness Matrix of Spatial Trusses
158(3)
4.10 Modification of Global Stiffness Matrix Due to Support Conditions---Reordering Matrix
161(4)
4.11 Internal Forces of Spatial Truss Members
165(2)
5 Spatial Frames
167(60)
5.1 Introduction
167(1)
5.2 Overview of Spatial Frames
167(3)
5.3 Vectors of End-Actions and End-Displacements of Spatial Frame Element
170(4)
5.4 Transformation Matrix of Spatial Frame Element
174(15)
5.5 Local Stiffness Matrix of Spatial Frame Element
189(8)
5.6 Global Stiffness Matrix of Spatial Frame Element
197(2)
5.7 Vectors of Nodal-Actions and Nodal-Displacements of Spatial Frame
199(2)
5.8 Global Stiffness Matrix of Spatial Frame
201(4)
5.9 Modification of Global Stiffness Matrix of Spatial Frame Due to Support Conditions---Reordering Matrix
205(5)
5.10 Internal Actions of Spatial Frame Members
210(1)
5.11 Application---Analysis of Grid Structure
211(16)
6 Rigid Joints
227(30)
6.1 Introduction
227(2)
6.2 Kinematic Relations and Equivalent Actions Betweeen two Points of a Rigid Body Plane
229(2)
6.3 Rigid Joints in Plane Framed Structure
231(3)
6.4 Analysis of Plane Frame With Rigid Joints
234(14)
6.5 Kinematic Relations and Equivalent Actions Between two Points of Space Rigid Structure
248(4)
6.6 Rigid Joints in Space Frame Element
252(5)
7 Internal Releases---Method of Combined Nodes
257(24)
7.1 Introduction
257(3)
7.2 Degrees of Freedom of Combined Nodes
260(1)
7.3 Assembly of Total Global Stiffness Matrix With Combined Nodes
261(4)
7.4 Computation of Nodal Actions of Restrained and Equivalent Structures With Combined Nodes
265(1)
7.5 Elastic Hinge
266(3)
7.6 Application---Analysis of Plane Frame With Combined Nodes
269(12)
8 Internal Hinges---Modified Stiffness Matrix Method
281(18)
8.1 Introduction
281(1)
8.2 Modified Stiffness Matrices
281(4)
8.3 Modified Matrices and Internal Releases
285(1)
8.4 Restrained Actions---Equivalent Actions
286(4)
8.5 Application---Analysis of Plane Frame With the Modified Stiffness Matrix Method
290(9)
9 Static Condensation Method
299(34)
9.1 Introduction
299(1)
9.2 Physical Interpretation of Static Condensation
299(4)
9.3 Qualitative Examination of the Stiffness Coefficients of a Hyperelement
303(1)
9.4 Stiffness Matrix and Restrained Actions With Elastic Hinge
304(2)
9.5 Application---Different Modeling Considerations of a Plane Frame Structure
306(27)
10 Elements of Variable Cross Section
333(26)
10.1 Introduction
333(1)
10.2 Stiffness Matrix---Analytic Evaluation
334(2)
10.3 Stiffness Matrix---Approximate Computation
336(1)
10.4 Restrained Actions---Analytic Computation
337(5)
10.5 Restrained Actions---Approximate Computation
342(1)
10.6 Application---Analysis of An Element of Variable Cross Section
343(16)
11 The Method of Substructures
359(42)
11.1 Introduction
359(1)
11.2 Presentation of Method of Substructures: A Plane Frame Test Case
360(7)
11.3 The Method of Substructures: A Plane Truss Test Case
367(7)
11.4 The Method of Substructures: A Plane Truss Numerical Application
374(5)
11.5 The Method of Substructures: Numerical Application on a Hybrid Structure
379(22)
12 Programming of Direct Stiffness Method---PFrameMatlab Program
401(24)
12.1 Basic Steps of Programming
401(1)
12.2 Main Program
401(3)
12.3 Individual Program Files
404(9)
12.4 Application---Plane Frame Analysis
413(4)
12.5 Application---Hybrid Plane Frame Analysis
417(8)
Appendix A Tensor Calculus 425(18)
References 443(2)
Index 445
National Technical University of Athens, Institute of Structural Analysis and Seismic Research, Athens, Greece Dr.,M.Sc.,DIC,Eng., Professor of Structural Analysis, Institute of Structural Analysis and Antiseismic Research School of Civil Engineering, National Technical University of Athens
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