Cover image for Seismic design aids for nonlinear analysis of reinforced concrete structures
Title:
Seismic design aids for nonlinear analysis of reinforced concrete structures
Publication Information:
Boca Raton, FL : CRC Pr., 2010
Physical Description:
xxii, 227 p. : ill. (some col.) ; 25 cm.
ISBN:
9781439809143

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30000010222171 TA658.44 S38 2010 Open Access Book Book
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Summary

Summary

Nonlinear analysis methods such as static pushover or limit analysis until collapse are globally considered reliable tools for seismic and structural assessment. But the accuracy of seismic capacity estimates--which can prevent catastrophic loss of life and astronomical damage repair costs--depends on the use of the correct basic input parameters.

Tools to Safeguard New Buildings and Assess Existing Ones


Seismic Design Aids for Nonlinear Analysis of Reinforced Concrete Structures simplifies the estimation of base structural parameters and enables accurate evaluation of proper bounds for the safety factor. Many design engineers make the relatively common mistake of using default properties of materials as input to nonlinear analyses without realizing that any minor variation in the nonlinear characteristics of constitutive materials, such as concrete and steel, could result in a solution error that leads to a disastrously incorrect assessment or interpretation. To achieve a more accurate pushover analysis and improve general performance-based design, this book:

Reviews relevant literature to help engineers conduct structural seismic assessment Includes design curves, alleviating the need for complex mathematics Offers supplementary online tools to aid in computing any parameter Provides complete computer coding used to obtain building collapse multipliers

Reassessing key inputs, this book analyzes boundaries using a detailed mathematical model based on international codes. It proposes design curves and tables derived from the authors' studies, detailing modeling numerical procedures step by step. The authors include analytical bounds of the structural safety factor for some typical frames, making this work a sound and valuable tool for assessment or desi


Author Notes

Chandrasekaran, Srinivasan; Nunziante, Luciano; Serino, Giorgio; Carannante, Federico


Table of Contents

Series Prefacep. ix
Series Editorp. xi
Prefacep. xiii
About the Authorsp. xvii
Disclaimerp. xix
Notationsp. xxi
Chapter 1 Axial Force-Bending Moment Yield Interactionp. 1
1.1 Summaryp. 1
1.2 Introductionp. 1
1.3 Mathematical Developmentp. 3
1.4 Identification of Subdomainsp. 5
1.4.1 Subdomains 1 and 2: Collapose Caused by Yielding of Steelp. 5
1.4.2 Subdomains 3 to 6: Collapse Caused by Crushing of Concretep. 12
1.5 Numerical Studies and Discussionsp. 13
1.6 Conclusionsp. 41
1.7 Numerical Procedure in Spreadsheet Formatp. 41
Chapter 2 Moment-Curvature Relationship for RC Sectionsp. 43
2.1 Summaryp. 43
2.2 Introductionp. 43
2.3 Mathematical Developmentp. 45
2.4 Moment-Curvature in Elastic Rangep. 45
2.4.1 Tensile Axial Forcep. 46
2.4.2 No Axial Forcep. 48
2.4.3 Compressive Axial Forcep. 48
2.5 Elastic Limit Bending Moment and Curvaturep. 50
2.5.1 Case 1: Strain in Tension Steel Reaches Yield Limit and Stress in Concrete Vanishesp. 50
2.5.2 Case 2: Strain in Tension Steel Reaches Yield Limit and Stress in Concrete Does Not Equal Zerop. 50
2.5.3 Case 3: Strain in Compression Steel Reaches Elastic Limit Valuep. 52
2.5.4 Case 4: Strain in Extreme Compression Fiber in Concrete Reaches Elastic Limit Valuep. 53
2.6 Percentage of Steel for Balanced Sectionp. 54
2.7 Ultimate Bending Moment-Curvature Relationshipp. 56
2.7.1 Neutral Axis Position Assuming Negative Valuesp. 56
2.7.2 Neutral Axis Position Assuming Positive Valuesp. 56
2.8 Numerical Studies and Discussionsp. 62
2.9 Conclusionsp. 85
2.10 Spreadsheet Programp. 86
2.10.1 Step-by-Step Procedure to Use the Spreadsheet Program Given on the Web Sitep. 86
Chapter 3 Moment-Rotation Relationship for RC Beamsp. 89
3.1 Summaryp. 89
3.2 Introductionp. 89
3.3 Mathematical Developmentp. 90
3.4 Analytical Moment-Rotation Relationshipsp. 92
3.4.1 Fixed Beam under Central Concentrated Loadp. 93
3.4.2 Simply Supported Beam under Central Concentrated Loadp. 98
3.4.3 Fixed Beam under Uniformly Distributed Loadp. 101
3.5 Numerical Studies and Discussionsp. 106
3.6 Conclusionsp. 114
3.7 Spreadsheet Programp. 115
3.7.1 Step-by-Step Procedure to Use the Numerical Method on the Web Sitep. 115
Chapter 4 Bounds for Collapse Loads of Building Frames Subjected to Seismic Loads: A Comparison with Nonlinear Static Pushoverp. 117
4.1 Summaryp. 117
4.2 Introductionp. 118
4.3 Collapse Multipliersp. 118
4.3.1 Kinematic Multiplier, Kkp. 120
4.3.2 Static Multiplier, Ksp. 122
4.3.3 Step-by-Step Analysis for a Simple Frame with P-M Interactionp. 124
4.4 Numerical Studies and Discussionsp. 131
4.5 Conclusionsp. 137
Chapter 5 Flow Rule Verification for P-M Interaction Domainsp. 139
5.1 Summaryp. 139
5.2 Introductionp. 139
5.3 Mathematical Developmentp. 140
5.3.1 Subdomains 1 to 2b(2): Collapse Caused by Yielding of Steelp. 144
5.3.2 Subdomains 3 to 6b: Collapse Caused by Crushing of Concretep. 150
5.4 Plastic Strain Increment in Different Subdomainsp. 150
5.5 Verification of Flow Rulep. 156
5.6 Conclusionsp. 157
Appendix Summary of P-M Relationships for Different Subdomainsp. 159
Chapter 6 Computer Coding for Collapse Multipliersp. 165
6.1 Introductionp. 165
6.2 Computer Coding for Collapse Multipliersp. 165
6.2.1 Single Bay-Single Story Regular Framep. 165
6.2.2 Single Bay-Two Story Regular Framep. 171
6.2.3 Single Bay-Single Story Frame with Unequal Column Lengthp. 172
6.2.4 Four Bay-Two Story Regular Framep. 174
6.2.5 Six Bay-Three Story Irregular Framep. 175
6.2.6 Six Bay-Three Story Regular Framep. 177
6.2.7 Five Bay-Ten Story Regular Framep. 179
6.2.8 General Procedure for Regular Frames with M Bays-N Storiesp. 182
6.2.9 Computer Coding to Compute Static Collapse Multipliers (LINGO)p. 189
6.3 Procedure to Perform Pushover Analysisp. 190
6.3.1 Step-by-Step Approach Using SAP2000p. 192
Referencesp. 215
Indexp. 219