Optimization Aided Design: Reinforced Concrete – Georgios Gaganelis, Peter Mark, Patrick Forman – 1st Edition

Foreword by Manfred Curbach
Foreword by Werner Sobek
Preface
List of Examples
Acronyms
About the Authors
Acknowledgments
1 Introduction
1.1 Preliminaries
1.2 Outer and Inner Shaping
1.3 Environmental Demands
1.4 Optimization Aided Design (OAD)
1.5 Structure of the Book
References
2 Fundamentals of Reinforced Concrete (RC) Design
2.1 Basic Principles
2.2 Verification Concept
2.3 Safety Concept
2.4 Materials
2.4.1 Plain Concrete
2.4.2 Fiber-Reinforced Concrete (FRC)
2.4.3 Ultra-High Performance Concrete (UHPC)
2.4.4 Reinforcement
2.5 Load-Bearing Behavior pñ
2.5.1 Bending Design
2.5.1.1 Fundamentals
2.5.1.2 Equilibrium for Composite Sections
2.5.2 Strut-and-Tie Models (STMs)
References
3 Fundamentals of Structural Optimization
3.1 Structural Optimization Approaches
3.1.1 General Procedure
3.1.2 Classification of Methods
3.2 Problem Statement
3.3 Lagrange Function
3.4 Sensitivity Analysis
3.4.1 Numerical Approach
3.4.2 Analytical Approach
3.5 Solution Methods
3.5.1 Mathematical Programming
3.5.2 Optimality Conditions (OC)
References
4 Identification of Structures
4.1 One-material Structures
4.1.1 Problem Statement
4.1.2 Sensitivity Analysis
4.1.3 Filtering
4.1.4 Solving
4.1.5 Optimization Process
4.1.6 Multiple Load Cases
4.2 One-material Stress-biased Structures
4.2.1 Problem Statement
4.2.2 Sensitivity Analysis and Stress Bias
4.2.3 Solving
4.2.4 Optimization Process
4.3 Bi-material Structures
4.3.1 Problem Statement
4.3.2 Sensitivity Analysis and Stress Differentiation
4.3.3 Bi-material Filtering
4.3.4 Solving
4.3.5 Optimization Process
4.4 Examples
4.4.1 One-material Structures
4.4.2 One-material Stress-biased Structures
4.4.3 Bi-material Structures
4.5 Applications
4.5.1 Solar Thermal Collectors
4.5.1.1 Parabolic Trough Collectors
4.5.1.2 Heliostats
4.5.2 Ultra-light Beams
References
5 Internal Force Flow
5.1 Preliminaries
5.2 Continuum Topology Optimization (CTO) Approach
5.3 Truss Topology Optimization (TTO) Approach
5.3.1 Problem Statement
5.3.2 Sensitivity Analysis and Solving
5.3.3 Optimization Process
5.3.4 Recommendations for Practical Application
5.3.4.1 Setting Up the Optimization Problem
5.3.4.2 Procedure
5.4 Continuum-Truss Topology Optimization (CTTO) Approach
5.4.1 Problem Statement
5.4.2 Sensitivity Analysis and Solving
5.4.3 Post-Processing
5.4.4 Optimization Process
5.5 Examples
5.5.1 CTO Approach
5.5.2 TTO Approach
5.6 Applications
5.6.1 Joints in Tunnel Linings
5.6.2 Partial Area Loading in Tunnel Linings
References
6 Design of Cross-sections
6.1 Problem Statement
6.2 Equilibrium Iteration
6.3 Sectional Optimization
6.3.1 Reinforcement Amounts
6.3.2 Cross-sectional Layout
6.3.3 Material Weighting
6.4 Solving
6.4.1 Stress Integrals
6.4.2 Optimization Problem
6.5 Parameterization
6.5.1 Plane Case
6.5.2 Spatial Case
6.5.3 Parameterization with Intentional Steering
6.6 Examples
6.6.1 Equilibrium Iteration
6.6.2 Sectional Optimization
References