Chapter
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
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
3.6.2. Minorant Game as a Tool for Obtaining the Lower Limit of Structural Bearing Capacity
3.6.3. Majorant Game as a Tool for Obtaining the Upper Limit of Structural Bearing Capacity
3.6.4. Commutative Problems
3.6.6. Continuity and Other Properties of the Structural Bearing Capacity Function
3.7. Relationship between Mini-Max Principle and Minimal-Maximal Property of Courant's Eigenvalues
3.8. Difference between Mini-Max Principle and Optimization Problems
Chapter 4: Using the Mini-Max Principle in Calculating the Bearing Capacity of RC Structures
4.1. Interaction between the Internal Forces in Thin-Walled Elasto-Plastic Shells
4.2. Calculating the Bearing Capacity of an RC Shell Using a Five Disks Failure Scheme
4.3. Calculating the Bearing Capacity of a Ribbed RC Shell Using a Five Disks Failure Scheme
4.4. Calculating the Bearing Capacity of a Ribbed RC Shell with Variable Ribs' Height Using a Five Disks Failure Scheme
4.5. Calculating Bearing Capacity of an RC Tube
4.6. Calculating the Bearing Capacity of a Polygonal RC Plate Under Concentrated Load
4.7. Calculating the Bearing Capacity of a Ferro-Cement Shell Panel
4.8. Calculating the Bearing Capacity of a Pre-Cast RC Shell Element
4.9. Critical Impulse on Statically Loaded Shell
4.10. Précising the Bearing Capacity of RC Dome under Concentrated Loading
4.11. Calculating Parameters of Drift Shapes in Statically Pre-Loaded RC Shells under Seismic Excitation
4.12. Using the Mini-Max Principle for Verifying Existing Design Approaches for RC Shells
4.13. Approximate Estimation of the Compressed Concrete Zone Depth in RC Shell Section
4.14. Maximization by Section Compressed Zone Depth As Additional Condition for Design of Compressed RC Elements with Double Reinforcement
Appendix 1. Variation Principles, Forming a Basis for the Mini-Max Principle
Appendix 2. The Only Possible Rigid Body Stress Condition As a Basis for the Mini-Max Principle
Authors’ Contact Information
Ultimate Equilibrium of RC Structures Using Mini-Max Principle
( Engineering Tools, Techniques and Tables )
Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.