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

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. Ausführliche Beschreibung