Ultimate Equilibrium of RC Structures Using Mini-Max Principle
Intro -- Title -- Library of Congress Cataloging-in-Publication Data -- Contents -- Preface -- Chapter 1: Introduction -- Chapter 2: Prerequisites of the Mini-Max Principle -- 2.1. History of the Principle -- 2.2. Combined Method -- 2.3. Bearing Capacity of Continuous Beam at Complicated Loading Con...
Ausführliche Beschreibung
Autor*in: |
Iskhakov, Iakov [verfasserIn] Ribakov, Yuri [mitwirkender] |
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Format: |
E-Book |
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Sprache: |
Englisch |
Erschienen: |
Hauppauge: Nova Science Publishers, Incorporated ; 2014 ©2014 |
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Schlagwörter: |
Reinforced concrete construction -- Mathemtics |
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Anmerkung: |
Description based on publisher supplied metadata and other sources |
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Umfang: |
1 online resource (137 pages) |
Links: | |
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ISBN: |
978-1-63321-340-1 |
Katalog-ID: |
1746159553 |
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9781633213401 978-1-63321-340-1 (DE-627)1746159553 (DE-599)KEP032374984 (EBC)EBC3024725 (EBP)032374984 (EBR)ebr10927517 (EBL)EBL3024725 DE-627 ger DE-627 rda eng 624.1/834101 Iskhakov, Iakov verfasserin aut Ultimate Equilibrium of RC Structures Using Mini-Max Principle Hauppauge Nova Science Publishers, Incorporated 2014 ©2014 1 online resource (137 pages) Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Description based on publisher supplied metadata and other sources Intro -- Title -- Library of Congress Cataloging-in-Publication Data -- Contents -- Preface -- Chapter 1: Introduction -- Chapter 2: Prerequisites of the Mini-Max Principle -- 2.1. History of the Principle -- 2.2. Combined Method -- 2.3. Bearing Capacity of Continuous Beam at Complicated Loading Configuration -- 2.4. Horn's Theorem and Its Review -- 2.5. Solving Certain Problems Using Ultimate Equilibrium Method -- 2.5.1. Calculating the Load-bearing Capacity of a Two-Slope Simple Supported Beam -- 2.5.2. Obtaining Projections of Inclined Cracks in the Calculation of RC Beams' Shear Bearing Capacity -- 2.5.3. Minimization of Longitudinal Reinforcement in Reinforced Concrete Bending Elements -- 2.5.4. Solving Limit Equilibrium Problems by Maximizing the RC Section Compression Zone Depth -- 2.5.5. Eccentrically Compressed RC Sections with Optimal Reinforcement -- 2.5.6. Common Case of Load-bearing Capacity for an Eccentrically Compressed RC Structure -- 2.6. Convexity of a Region, Defined by Plasticity Equations for Compressed Elements -- 2.7. Duality Theorems for Simple Plastic Failure -- 2.8. Consequence of the Ultimate Equilibrium theorems -- 2.9. Unity of Internal Forces' Fields at Realization of the Kinematic Failure Mechanism -- 2.10. Concluding Remarks -- Chapter 3: Mini-Max Principle as a Tool for Calculation of RC Structural Bearing Capacity -- 3.1. Two Groups of Parameters for Calculating the Structural Bearing Capacity -- 3.2. Mini-Max Principle and an Alternative Maxi-Min Principle -- 3.3. Presenting the Two-Parametric Structural Bearing Capacity Function As a Functional -- 3.4. Some Definitions from the Theory of Sets -- 3.5. The Basic Concepts in the Theory of Antagonistic Games with a Zero Sum -- 3.6. Two-Parametric Function of Structural Bearing Capacity in Games' Theory Terms -- 3.6.1. Basic Concepts. Reinforced concrete construction -- Mathemtics Structural engineering Maxima and minima Reinforced concrete construction ; Mathemtics.. Structural engineering.. Maxima and minima Electronic books Ribakov, Yuri mitwirkender ctb 9781633213340 Erscheint auch als Druck-Ausgabe 9781633213340 https://ebookcentral.proquest.com/lib/kxp/detail.action?docID=3024725 X:EBC Aggregator lizenzpflichtig ZDB-30-PQE GBV_ILN_370 ISIL_DE-1373 SYSFLAG_1 GBV_KXP GBV_ILN_2021 ISIL_DE-289 GBV_ILN_2148 ISIL_DE-950 BO 045F 624.1/834101 370 01 4370 3976617911 olr-dda ebc Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Keine Weitergabe an Dritte. Kein systematisches Downloaden durch Robots. i z 09-09-21 2021 01 DE-289 3845715782 00 --%%-- --%%-- --%%-- n l01 30-01-21 2148 01 DE-950 4078422454 00 --%%-- eBook ProQuest --%%-- n PDA-Angebot - nur für Hochschulangehörige der HfWU l01 03-03-22 370 01 4370 E-Book: Zugriff im HCU-Netz. Zugriff von auβerhalb nur für HCU-Angehörige möglich https://ebookcentral.proquest.com/lib/hcuhamburg-ebooks/detail.action?docID=3024725 2021 01 DE-289 https://ebookcentral.proquest.com/lib/kiz-uniulm/detail.action?docID=3024725 2148 01 DE-950 https://ebookcentral.proquest.com/lib/hfwu/detail.action?docID=3024725 370 01 4370 olr-dda ebc |
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9781633213401 978-1-63321-340-1 (DE-627)1746159553 (DE-599)KEP032374984 (EBC)EBC3024725 (EBP)032374984 (EBR)ebr10927517 (EBL)EBL3024725 DE-627 ger DE-627 rda eng 624.1/834101 Iskhakov, Iakov verfasserin aut Ultimate Equilibrium of RC Structures Using Mini-Max Principle Hauppauge Nova Science Publishers, Incorporated 2014 ©2014 1 online resource (137 pages) Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Description based on publisher supplied metadata and other sources Intro -- Title -- Library of Congress Cataloging-in-Publication Data -- Contents -- Preface -- Chapter 1: Introduction -- Chapter 2: Prerequisites of the Mini-Max Principle -- 2.1. History of the Principle -- 2.2. Combined Method -- 2.3. Bearing Capacity of Continuous Beam at Complicated Loading Configuration -- 2.4. Horn's Theorem and Its Review -- 2.5. Solving Certain Problems Using Ultimate Equilibrium Method -- 2.5.1. Calculating the Load-bearing Capacity of a Two-Slope Simple Supported Beam -- 2.5.2. Obtaining Projections of Inclined Cracks in the Calculation of RC Beams' Shear Bearing Capacity -- 2.5.3. Minimization of Longitudinal Reinforcement in Reinforced Concrete Bending Elements -- 2.5.4. Solving Limit Equilibrium Problems by Maximizing the RC Section Compression Zone Depth -- 2.5.5. Eccentrically Compressed RC Sections with Optimal Reinforcement -- 2.5.6. Common Case of Load-bearing Capacity for an Eccentrically Compressed RC Structure -- 2.6. Convexity of a Region, Defined by Plasticity Equations for Compressed Elements -- 2.7. Duality Theorems for Simple Plastic Failure -- 2.8. Consequence of the Ultimate Equilibrium theorems -- 2.9. Unity of Internal Forces' Fields at Realization of the Kinematic Failure Mechanism -- 2.10. Concluding Remarks -- Chapter 3: Mini-Max Principle as a Tool for Calculation of RC Structural Bearing Capacity -- 3.1. Two Groups of Parameters for Calculating the Structural Bearing Capacity -- 3.2. Mini-Max Principle and an Alternative Maxi-Min Principle -- 3.3. Presenting the Two-Parametric Structural Bearing Capacity Function As a Functional -- 3.4. Some Definitions from the Theory of Sets -- 3.5. The Basic Concepts in the Theory of Antagonistic Games with a Zero Sum -- 3.6. Two-Parametric Function of Structural Bearing Capacity in Games' Theory Terms -- 3.6.1. Basic Concepts. Reinforced concrete construction -- Mathemtics Structural engineering Maxima and minima Reinforced concrete construction ; Mathemtics.. Structural engineering.. Maxima and minima Electronic books Ribakov, Yuri mitwirkender ctb 9781633213340 Erscheint auch als Druck-Ausgabe 9781633213340 https://ebookcentral.proquest.com/lib/kxp/detail.action?docID=3024725 X:EBC Aggregator lizenzpflichtig ZDB-30-PQE GBV_ILN_370 ISIL_DE-1373 SYSFLAG_1 GBV_KXP GBV_ILN_2021 ISIL_DE-289 GBV_ILN_2148 ISIL_DE-950 BO 045F 624.1/834101 370 01 4370 3976617911 olr-dda ebc Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Keine Weitergabe an Dritte. Kein systematisches Downloaden durch Robots. i z 09-09-21 2021 01 DE-289 3845715782 00 --%%-- --%%-- --%%-- n l01 30-01-21 2148 01 DE-950 4078422454 00 --%%-- eBook ProQuest --%%-- n PDA-Angebot - nur für Hochschulangehörige der HfWU l01 03-03-22 370 01 4370 E-Book: Zugriff im HCU-Netz. Zugriff von auβerhalb nur für HCU-Angehörige möglich https://ebookcentral.proquest.com/lib/hcuhamburg-ebooks/detail.action?docID=3024725 2021 01 DE-289 https://ebookcentral.proquest.com/lib/kiz-uniulm/detail.action?docID=3024725 2148 01 DE-950 https://ebookcentral.proquest.com/lib/hfwu/detail.action?docID=3024725 370 01 4370 olr-dda ebc |
allfieldsGer |
9781633213401 978-1-63321-340-1 (DE-627)1746159553 (DE-599)KEP032374984 (EBC)EBC3024725 (EBP)032374984 (EBR)ebr10927517 (EBL)EBL3024725 DE-627 ger DE-627 rda eng 624.1/834101 Iskhakov, Iakov verfasserin aut Ultimate Equilibrium of RC Structures Using Mini-Max Principle Hauppauge Nova Science Publishers, Incorporated 2014 ©2014 1 online resource (137 pages) Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Description based on publisher supplied metadata and other sources Intro -- Title -- Library of Congress Cataloging-in-Publication Data -- Contents -- Preface -- Chapter 1: Introduction -- Chapter 2: Prerequisites of the Mini-Max Principle -- 2.1. History of the Principle -- 2.2. Combined Method -- 2.3. Bearing Capacity of Continuous Beam at Complicated Loading Configuration -- 2.4. Horn's Theorem and Its Review -- 2.5. Solving Certain Problems Using Ultimate Equilibrium Method -- 2.5.1. Calculating the Load-bearing Capacity of a Two-Slope Simple Supported Beam -- 2.5.2. Obtaining Projections of Inclined Cracks in the Calculation of RC Beams' Shear Bearing Capacity -- 2.5.3. Minimization of Longitudinal Reinforcement in Reinforced Concrete Bending Elements -- 2.5.4. Solving Limit Equilibrium Problems by Maximizing the RC Section Compression Zone Depth -- 2.5.5. Eccentrically Compressed RC Sections with Optimal Reinforcement -- 2.5.6. Common Case of Load-bearing Capacity for an Eccentrically Compressed RC Structure -- 2.6. Convexity of a Region, Defined by Plasticity Equations for Compressed Elements -- 2.7. Duality Theorems for Simple Plastic Failure -- 2.8. Consequence of the Ultimate Equilibrium theorems -- 2.9. Unity of Internal Forces' Fields at Realization of the Kinematic Failure Mechanism -- 2.10. Concluding Remarks -- Chapter 3: Mini-Max Principle as a Tool for Calculation of RC Structural Bearing Capacity -- 3.1. Two Groups of Parameters for Calculating the Structural Bearing Capacity -- 3.2. Mini-Max Principle and an Alternative Maxi-Min Principle -- 3.3. Presenting the Two-Parametric Structural Bearing Capacity Function As a Functional -- 3.4. Some Definitions from the Theory of Sets -- 3.5. The Basic Concepts in the Theory of Antagonistic Games with a Zero Sum -- 3.6. Two-Parametric Function of Structural Bearing Capacity in Games' Theory Terms -- 3.6.1. Basic Concepts. Reinforced concrete construction -- Mathemtics Structural engineering Maxima and minima Reinforced concrete construction ; Mathemtics.. Structural engineering.. Maxima and minima Electronic books Ribakov, Yuri mitwirkender ctb 9781633213340 Erscheint auch als Druck-Ausgabe 9781633213340 https://ebookcentral.proquest.com/lib/kxp/detail.action?docID=3024725 X:EBC Aggregator lizenzpflichtig ZDB-30-PQE GBV_ILN_370 ISIL_DE-1373 SYSFLAG_1 GBV_KXP GBV_ILN_2021 ISIL_DE-289 GBV_ILN_2148 ISIL_DE-950 BO 045F 624.1/834101 370 01 4370 3976617911 olr-dda ebc Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Keine Weitergabe an Dritte. Kein systematisches Downloaden durch Robots. i z 09-09-21 2021 01 DE-289 3845715782 00 --%%-- --%%-- --%%-- n l01 30-01-21 2148 01 DE-950 4078422454 00 --%%-- eBook ProQuest --%%-- n PDA-Angebot - nur für Hochschulangehörige der HfWU l01 03-03-22 370 01 4370 E-Book: Zugriff im HCU-Netz. Zugriff von auβerhalb nur für HCU-Angehörige möglich https://ebookcentral.proquest.com/lib/hcuhamburg-ebooks/detail.action?docID=3024725 2021 01 DE-289 https://ebookcentral.proquest.com/lib/kiz-uniulm/detail.action?docID=3024725 2148 01 DE-950 https://ebookcentral.proquest.com/lib/hfwu/detail.action?docID=3024725 370 01 4370 olr-dda ebc |
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9781633213401 978-1-63321-340-1 (DE-627)1746159553 (DE-599)KEP032374984 (EBC)EBC3024725 (EBP)032374984 (EBR)ebr10927517 (EBL)EBL3024725 DE-627 ger DE-627 rda eng 624.1/834101 Iskhakov, Iakov verfasserin aut Ultimate Equilibrium of RC Structures Using Mini-Max Principle Hauppauge Nova Science Publishers, Incorporated 2014 ©2014 1 online resource (137 pages) Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Description based on publisher supplied metadata and other sources Intro -- Title -- Library of Congress Cataloging-in-Publication Data -- Contents -- Preface -- Chapter 1: Introduction -- Chapter 2: Prerequisites of the Mini-Max Principle -- 2.1. History of the Principle -- 2.2. Combined Method -- 2.3. Bearing Capacity of Continuous Beam at Complicated Loading Configuration -- 2.4. Horn's Theorem and Its Review -- 2.5. Solving Certain Problems Using Ultimate Equilibrium Method -- 2.5.1. Calculating the Load-bearing Capacity of a Two-Slope Simple Supported Beam -- 2.5.2. Obtaining Projections of Inclined Cracks in the Calculation of RC Beams' Shear Bearing Capacity -- 2.5.3. Minimization of Longitudinal Reinforcement in Reinforced Concrete Bending Elements -- 2.5.4. Solving Limit Equilibrium Problems by Maximizing the RC Section Compression Zone Depth -- 2.5.5. Eccentrically Compressed RC Sections with Optimal Reinforcement -- 2.5.6. Common Case of Load-bearing Capacity for an Eccentrically Compressed RC Structure -- 2.6. Convexity of a Region, Defined by Plasticity Equations for Compressed Elements -- 2.7. Duality Theorems for Simple Plastic Failure -- 2.8. Consequence of the Ultimate Equilibrium theorems -- 2.9. Unity of Internal Forces' Fields at Realization of the Kinematic Failure Mechanism -- 2.10. Concluding Remarks -- Chapter 3: Mini-Max Principle as a Tool for Calculation of RC Structural Bearing Capacity -- 3.1. Two Groups of Parameters for Calculating the Structural Bearing Capacity -- 3.2. Mini-Max Principle and an Alternative Maxi-Min Principle -- 3.3. Presenting the Two-Parametric Structural Bearing Capacity Function As a Functional -- 3.4. Some Definitions from the Theory of Sets -- 3.5. The Basic Concepts in the Theory of Antagonistic Games with a Zero Sum -- 3.6. Two-Parametric Function of Structural Bearing Capacity in Games' Theory Terms -- 3.6.1. Basic Concepts. Reinforced concrete construction -- Mathemtics Structural engineering Maxima and minima Reinforced concrete construction ; Mathemtics.. Structural engineering.. Maxima and minima Electronic books Ribakov, Yuri mitwirkender ctb 9781633213340 Erscheint auch als Druck-Ausgabe 9781633213340 https://ebookcentral.proquest.com/lib/kxp/detail.action?docID=3024725 X:EBC Aggregator lizenzpflichtig ZDB-30-PQE GBV_ILN_370 ISIL_DE-1373 SYSFLAG_1 GBV_KXP GBV_ILN_2021 ISIL_DE-289 GBV_ILN_2148 ISIL_DE-950 BO 045F 624.1/834101 370 01 4370 3976617911 olr-dda ebc Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Keine Weitergabe an Dritte. Kein systematisches Downloaden durch Robots. i z 09-09-21 2021 01 DE-289 3845715782 00 --%%-- --%%-- --%%-- n l01 30-01-21 2148 01 DE-950 4078422454 00 --%%-- eBook ProQuest --%%-- n PDA-Angebot - nur für Hochschulangehörige der HfWU l01 03-03-22 370 01 4370 E-Book: Zugriff im HCU-Netz. Zugriff von auβerhalb nur für HCU-Angehörige möglich https://ebookcentral.proquest.com/lib/hcuhamburg-ebooks/detail.action?docID=3024725 2021 01 DE-289 https://ebookcentral.proquest.com/lib/kiz-uniulm/detail.action?docID=3024725 2148 01 DE-950 https://ebookcentral.proquest.com/lib/hfwu/detail.action?docID=3024725 370 01 4370 olr-dda ebc |
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Intro -- Title -- Library of Congress Cataloging-in-Publication Data -- Contents -- Preface -- Chapter 1: Introduction -- Chapter 2: Prerequisites of the Mini-Max Principle -- 2.1. History of the Principle -- 2.2. Combined Method -- 2.3. Bearing Capacity of Continuous Beam at Complicated Loading Configuration -- 2.4. Horn's Theorem and Its Review -- 2.5. Solving Certain Problems Using Ultimate Equilibrium Method -- 2.5.1. Calculating the Load-bearing Capacity of a Two-Slope Simple Supported Beam -- 2.5.2. Obtaining Projections of Inclined Cracks in the Calculation of RC Beams' Shear Bearing Capacity -- 2.5.3. Minimization of Longitudinal Reinforcement in Reinforced Concrete Bending Elements -- 2.5.4. Solving Limit Equilibrium Problems by Maximizing the RC Section Compression Zone Depth -- 2.5.5. Eccentrically Compressed RC Sections with Optimal Reinforcement -- 2.5.6. Common Case of Load-bearing Capacity for an Eccentrically Compressed RC Structure -- 2.6. Convexity of a Region, Defined by Plasticity Equations for Compressed Elements -- 2.7. Duality Theorems for Simple Plastic Failure -- 2.8. Consequence of the Ultimate Equilibrium theorems -- 2.9. Unity of Internal Forces' Fields at Realization of the Kinematic Failure Mechanism -- 2.10. Concluding Remarks -- Chapter 3: Mini-Max Principle as a Tool for Calculation of RC Structural Bearing Capacity -- 3.1. Two Groups of Parameters for Calculating the Structural Bearing Capacity -- 3.2. Mini-Max Principle and an Alternative Maxi-Min Principle -- 3.3. Presenting the Two-Parametric Structural Bearing Capacity Function As a Functional -- 3.4. Some Definitions from the Theory of Sets -- 3.5. The Basic Concepts in the Theory of Antagonistic Games with a Zero Sum -- 3.6. Two-Parametric Function of Structural Bearing Capacity in Games' Theory Terms -- 3.6.1. Basic Concepts. Description based on publisher supplied metadata and other sources |
abstractGer |
Intro -- Title -- Library of Congress Cataloging-in-Publication Data -- Contents -- Preface -- Chapter 1: Introduction -- Chapter 2: Prerequisites of the Mini-Max Principle -- 2.1. History of the Principle -- 2.2. Combined Method -- 2.3. Bearing Capacity of Continuous Beam at Complicated Loading Configuration -- 2.4. Horn's Theorem and Its Review -- 2.5. Solving Certain Problems Using Ultimate Equilibrium Method -- 2.5.1. Calculating the Load-bearing Capacity of a Two-Slope Simple Supported Beam -- 2.5.2. Obtaining Projections of Inclined Cracks in the Calculation of RC Beams' Shear Bearing Capacity -- 2.5.3. Minimization of Longitudinal Reinforcement in Reinforced Concrete Bending Elements -- 2.5.4. Solving Limit Equilibrium Problems by Maximizing the RC Section Compression Zone Depth -- 2.5.5. Eccentrically Compressed RC Sections with Optimal Reinforcement -- 2.5.6. Common Case of Load-bearing Capacity for an Eccentrically Compressed RC Structure -- 2.6. Convexity of a Region, Defined by Plasticity Equations for Compressed Elements -- 2.7. Duality Theorems for Simple Plastic Failure -- 2.8. Consequence of the Ultimate Equilibrium theorems -- 2.9. Unity of Internal Forces' Fields at Realization of the Kinematic Failure Mechanism -- 2.10. Concluding Remarks -- Chapter 3: Mini-Max Principle as a Tool for Calculation of RC Structural Bearing Capacity -- 3.1. Two Groups of Parameters for Calculating the Structural Bearing Capacity -- 3.2. Mini-Max Principle and an Alternative Maxi-Min Principle -- 3.3. Presenting the Two-Parametric Structural Bearing Capacity Function As a Functional -- 3.4. Some Definitions from the Theory of Sets -- 3.5. The Basic Concepts in the Theory of Antagonistic Games with a Zero Sum -- 3.6. Two-Parametric Function of Structural Bearing Capacity in Games' Theory Terms -- 3.6.1. Basic Concepts. Description based on publisher supplied metadata and other sources |
abstract_unstemmed |
Intro -- Title -- Library of Congress Cataloging-in-Publication Data -- Contents -- Preface -- Chapter 1: Introduction -- Chapter 2: Prerequisites of the Mini-Max Principle -- 2.1. History of the Principle -- 2.2. Combined Method -- 2.3. Bearing Capacity of Continuous Beam at Complicated Loading Configuration -- 2.4. Horn's Theorem and Its Review -- 2.5. Solving Certain Problems Using Ultimate Equilibrium Method -- 2.5.1. Calculating the Load-bearing Capacity of a Two-Slope Simple Supported Beam -- 2.5.2. Obtaining Projections of Inclined Cracks in the Calculation of RC Beams' Shear Bearing Capacity -- 2.5.3. Minimization of Longitudinal Reinforcement in Reinforced Concrete Bending Elements -- 2.5.4. Solving Limit Equilibrium Problems by Maximizing the RC Section Compression Zone Depth -- 2.5.5. Eccentrically Compressed RC Sections with Optimal Reinforcement -- 2.5.6. Common Case of Load-bearing Capacity for an Eccentrically Compressed RC Structure -- 2.6. Convexity of a Region, Defined by Plasticity Equations for Compressed Elements -- 2.7. Duality Theorems for Simple Plastic Failure -- 2.8. Consequence of the Ultimate Equilibrium theorems -- 2.9. Unity of Internal Forces' Fields at Realization of the Kinematic Failure Mechanism -- 2.10. Concluding Remarks -- Chapter 3: Mini-Max Principle as a Tool for Calculation of RC Structural Bearing Capacity -- 3.1. Two Groups of Parameters for Calculating the Structural Bearing Capacity -- 3.2. Mini-Max Principle and an Alternative Maxi-Min Principle -- 3.3. Presenting the Two-Parametric Structural Bearing Capacity Function As a Functional -- 3.4. Some Definitions from the Theory of Sets -- 3.5. The Basic Concepts in the Theory of Antagonistic Games with a Zero Sum -- 3.6. Two-Parametric Function of Structural Bearing Capacity in Games' Theory Terms -- 3.6.1. Basic Concepts. Description based on publisher supplied metadata and other sources |
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History of the Principle -- 2.2. Combined Method -- 2.3. Bearing Capacity of Continuous Beam at Complicated Loading Configuration -- 2.4. Horn's Theorem and Its Review -- 2.5. Solving Certain Problems Using Ultimate Equilibrium Method -- 2.5.1. Calculating the Load-bearing Capacity of a Two-Slope Simple Supported Beam -- 2.5.2. Obtaining Projections of Inclined Cracks in the Calculation of RC Beams' Shear Bearing Capacity -- 2.5.3. Minimization of Longitudinal Reinforcement in Reinforced Concrete Bending Elements -- 2.5.4. Solving Limit Equilibrium Problems by Maximizing the RC Section Compression Zone Depth -- 2.5.5. Eccentrically Compressed RC Sections with Optimal Reinforcement -- 2.5.6. Common Case of Load-bearing Capacity for an Eccentrically Compressed RC Structure -- 2.6. Convexity of a Region, Defined by Plasticity Equations for Compressed Elements -- 2.7. Duality Theorems for Simple Plastic Failure -- 2.8. Consequence of the Ultimate Equilibrium theorems -- 2.9. Unity of Internal Forces' Fields at Realization of the Kinematic Failure Mechanism -- 2.10. Concluding Remarks -- Chapter 3: Mini-Max Principle as a Tool for Calculation of RC Structural Bearing Capacity -- 3.1. Two Groups of Parameters for Calculating the Structural Bearing Capacity -- 3.2. Mini-Max Principle and an Alternative Maxi-Min Principle -- 3.3. Presenting the Two-Parametric Structural Bearing Capacity Function As a Functional -- 3.4. Some Definitions from the Theory of Sets -- 3.5. The Basic Concepts in the Theory of Antagonistic Games with a Zero Sum -- 3.6. Two-Parametric Function of Structural Bearing Capacity in Games' Theory Terms -- 3.6.1. 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