Concrete is the most used building material. Its main component, cement, however, accounts production- related for up to 10 % of global CO2 emissions and is therefore a major contributor to human-induced climate change. Due to its low tensile strength, concrete must be further enhanced in tension with adequate reinforcement, such as steel. Producing the latter therefore additionally impacts the environment. Consequently, reducing the material amount for design and construction of structures, thus lowering material- and transport-induced emissions, represents a key element to climate protection. In this context, meeting the essential requirements ? sustainability, serviceability, durability ? is yet indispensable.
The book presents innovative optimization aided design methods for concrete structures. Mathematical optimization is applied to practical problems of structural concrete at each level: from external, through internal structure identification to cross-section design. It is shown how to design resource-efficient structures following the flux of forces, how to optimally adapt reinforcement layouts to the internal force flow, and how to efficiently cope with demanding cross-sectional design tasks such as biaxial bending.
The optimization aided design methods are discussed in detail and described vividly. They are independent of standards, concrete material (normal to ultra-high performance) and reinforcement type (steel fibers to carbon bars), thus universally applicable. The book illustrates the different approaches with numerous figures and calculation examples. Existing applications in structural engineering are presented to demonstrate the potential of optimization aided design concepts, including ultra-lightweight hybrid beams, thin concrete solar collectors, and improved reinforcement layouts for tunnel lining segments.
The book presents innovative optimization aided design methods for concrete structures. Mathematical optimization is applied to practical problems of structural concrete at each level: from external, through internal structure identification to cross-section design. It is shown how to design resource-efficient structures following the flux of forces, how to optimally adapt reinforcement layouts to the internal force flow, and how to efficiently cope with demanding cross-sectional design tasks such as biaxial bending.
The optimization aided design methods are discussed in detail and described vividly. They are independent of standards, concrete material (normal to ultra-high performance) and reinforcement type (steel fibers to carbon bars), thus universally applicable. The book illustrates the different approaches with numerous figures and calculation examples. Existing applications in structural engineering are presented to demonstrate the potential of optimization aided design concepts, including ultra-lightweight hybrid beams, thin concrete solar collectors, and improved reinforcement layouts for tunnel lining segments.
Table of Contents
ForewordPreface
Acknowledgments
Acronyms
List of Examples
1 INTRODUCTION
2 FUNDAMENTALS OF REINFORCED CONCRETE DESIGN
2.1 Basic Principles
2.2. Verification Concept
2.3 Safety Concept
2.4 Materials
2.5 Load-bearing Behavior
3 FUNDAMENTALS OF STRUCTURAL OPTIMIZATION
3.1 Structural Optimization Approaches
3.2 Problem Statement
3.3 Lagrange Function
3.4 Sensitivity Analysis
3.5 Solution Methods
4 IDENTIFICATION OF STRUCTURES
4.1 One-material Structures
4.2 One-material Stress-biased Structures
4.3 Bi-material Structures
4.4 Examples
4.5 Applications
5 INTERNAL FORCE FLOW
5.1 Preliminaries
5.2 Continuum Topology Optimization (CTO) Approach
5.3 Truss Topology Optimization (TTO) Approach
5.4 Continuum-Truss Topology Optimization (CTTO) Approach
5.5 Examples
5.6 Applications
6 DESIGN OF CROSS-SECTIONS
6.1 Problem Statement
6.2 Equilibrium Iteration
6.3 Sectional Optimization
6.4 Solving
6.5 Parameterization
6.6 Examples
BIBLIOGRAPHY
