Unified Theory of Reinforced Concrete 1st edition by Thomas Hsu – Ebook PDF Instant Download/Delivery: 1351406094, 9781351406093
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ISBN 10: 1351406094
ISBN 13: 9781351406093
Author: Thomas Hsu
Reinforced concrete structures are subjected to a complex variety of stresses and strains. The four basic actions are bending, axial load, shear, and torsion. Presently, there is no single comprehensive theory for reinforced concrete structural behavior that addresses all of these basic actions and their interactions. Furthermore, there is little consistency among countries around the world in their building codes, especially in the specifications for shear and torsion.Unified Theory of Reinforced Concrete addresses this serious problem by integrating available information with new research data, developing one unified theory of reinforced concrete behavior that embraces and accounts for all four basic actions and their combinations. The theory is presented in a systematic manner, elucidating its five component models from a pedagogical and historical perspective while emphasizing the fundamental principles of equilibrium, compatibility, and the constitutive laws of materials. The significance of relationships between models and their intrinsic consistencies are emphasized. This theory can serve as the foundation on which to build a universal design code that can be adopted internationally. In addition to frames, the book explains the fundamental concept of the design of wall-type and shell-type structures.Unified Theory of Reinforced Concrete will be an important reference for all engineers involved in the design of concrete structures. The book can also serve well as a text for a graduate course in structural engineering.
Unified Theory of Reinforced Concrete 1st Table of contents:
CHAPTER 1. INTRODUCTION
1.1 Overview
1.2 Structural Engineering
1.2.1 Structural Analysis
1.2.2 Main Regions Versus Local Regions
1.2.3 Member and Joint Design
1.3 Five Component Models of the Unified Theory
1.3.1 Principles and Applications of the Five Models
1.3.2 Historical Development of Truss Models
1.3.3 Future Developments
1.4 Organization of Book Content
1.5 Struts-and-Ties Model
1.5.1 General Description
1.5.2 Examples
1.5.3 Comments
CHAPTER 2. BERNOULLI COMPATIBILITY TRUSS MODEL
2.1 Bending of Reinforced Concrete Members
2.1.1 General Bending Theory
2.1.2 Fundamental Principles
2.2 Linear Bending Theory
2.2.1 Bending Theory Based on Hooke’s Law
2.2.2 Solutions for Analysis Problems
2.2.3 Transformed Area for Reinforcing Bars
2.2.4 Bending Rigidities of Cracked Sections
2.2.5 Bending Rigidities of Uncracked Sections
2.2.6 Bending Deflections of Reinforced Concrete Members
2.3 Nonlinear Bending Theory
2.3.1 Mild-Steel Reinforced Beams at Ultimate Load
2.3.2 Singly Reinforced Rectangular Beams
2.3.3 Doubly Reinforced Rectangular Beams
2.3.4 Flanged Beams
2.3.5 Moment-Curvature (M-ϕ) Relationships
2.4 Combined Bending and Axial Load
2.4.1 Plastic Centroid and Eccentric Loading
2.4.2 Balanced Condition
2.4.3 Tension Failure
2.4.4 Compression Failure
2.4.5 Bending–Axial-Load Interaction
2.4.6 Moment–Axial-Load-Curvature (M-N-ϕ) Relationship
CHAPTER 3. EQUILIBRIUM (PLASTICITY) TRUSS MODEL
3.1 Basic Equilibrium Equations
3.1.1 Equilibrium in Bending
3.1.2 Equilibrium in Element Shear
3.1.3 Equilibrium in Beam Shear
3.1.4 Equilibrium in Torsion
3.1.5 Summary of Basic Equilibrium Equations
3.2 Interaction Relationships
3.2.1 Shear-Bending Interaction
3.2.2 Torsion-Bending Interaction
3.2.3 Shear-Torsion-Bending Interaction
3.2.4 Axial-Tension-Shear-Bending Interaction
3.3 Analysis of Beams
3.3.1 Beams Subjected to Midspan Concentrated Load
3.3.2 Beams Subjected to Uniformly Distributed Load
3.4 Applications in CEB-FIP Model Code
3.4.1 Beam Shear with Inclined Web Reinforcement
3.4.2 Basic Principles of CEB Shear and Torsion Provisions
3.4.3 Modifications by Concrete Contribution
3.4.4 Combined Shear and Torsion
3.4.5 Practical Considerations
3.5 Comments on Equilibrium (Plasticity) Truss Model
CHAPTER 4. STRESSES IN MEMBRANE ELEMENTS
4.1 Stress Transformation
4.1.1 Principle of Transformation
4.1.2 Mohr Circle
4.1.3 Sign Convention for Shear in Reinforced Concrete
4.1.4 Principal Stresses
4.2 Stress Transformation in Terms of Principal Stresses
4.2.1 Transformation Equations
4.2.2 First Type of Expression
4.2.3 Second Type of Expression
4.3 Equilibrium of Reinforced Concrete Membrane Elements
4.3.1 Transformation Type of Equilibrium Equations
4.3.2 First Type of Equilibrium Equations
4.3.3 Second Type of Equilibrium Equations
4.3.4 Equilibrium Equations in Terms of Double Angle
4.4 Plasticity Truss Model for Membrane Elements
CHAPTER 5. STRAINS IN MEMBRANE ELEMENTS
5.1 Strain Transformation
5.1.1 Principle of Transformation
5.1.2 RC Sign Convention
5.1.3 Principal Strains
5.2 Strain Transformation in Terms of Principal Strains
5.2.1 Transformation Equations
5.2.2 First Type of Compatibility Equations
5.2.3 Second Type of Compatibility Equations
5.3 Design Based on Crack Control
5.3.1 Steel Strains in Crack Control
5.3.2 Design of Reinforcement
5.4 Cracking Condition at Yielding of Steel
5.4.1 Yielding of Longitudinal Steel
5.4.2 Yielding of Transverse Steel
CHAPTER 6. MOHR COMPATIBILITY TRUSS MODEL
6.1 Membrane Elements
6.1.1 Mohr’s Equilibrium and Compatibility Conditions
6.1.2 Hooke’s Constitutive Law
6.1.3 Analysis of Cracked Membrane Elements
6.1.4 Design of Reinforcement
6.1.5 Analysis of Uncracked Membrane Elements
6.2 Beams Under Uniformly Distributed Load
6.2.1 Analysis of Beam Elements
6.2.2 Stirrup Forces
6.2.3 Longitudinal Web Steel Forces
6.2.4 Solution by the Theory of Elasticity
6.2.5 Formulas for Stresses in Simple Truss Model
CHAPTER 7. SOFTENED TRUSS MODEL FOR MEMBRANE ELEMENTS
7.1 Basic Equations for Membrane Elements
7.2 Constitutive Laws in Membrane Elements
7.2.1 Softened Compression Stress-Strain Relationship of Concrete
7.2.2 Tensile Stress-Strain Relationship of Concrete
7.2.3 Stress-Strain Relationship of Mild Steel
7.2.4 Stress-Strain Relationship of Prestressing Steel
7.3 Solution of Equations for Membrane Elements
7.3.1 Summary of Equations
7.3.2 Method of Solution
7.3.3 Shear Ductility
7.4 Membrane Elements under Proportional Loadings
7.4.1 Proportional Membrane Loadings
7.4.2 Strength of Membrane Elements
7.4.3 Method of Solution
7.5 Failure Modes of Membrane Elements
7.5.1 Equal Strain Condition
7.5.2 Balanced Condition
7.5.3 Failure Regions and Boundaries
CHAPTER 8. SOFTENED TRUSS MODEL FOR TORSION
8.1 Equilibrium Equations
8.1.1 Shear Elements in Shear Flow Zone
8.1.2 Bredt’s Equilibrium Equation
8.2 Compatibility Equations
8.2.1 Shear Elements
8.2.2 Shear Strain Due to Twisting
8.2.3 Bending of Diagonal Concrete Struts
8.2.4 Strain Distribution in Concrete Struts
8.3 Constitutive Relationships for Concrete
8.3.1 Softened Compression Stress Block
8.3.2 Coefficient k1 for Average Compression Stress
8.3.3 Location of Center Line of Shear Flow
8.3.4 Formulas for A0 and p0
8.4 Governing Equations for Torsion
8.4.1 Summary of Equations
8.4.2 Method of Solution
8.5 Design for Torsion
8.5.1 Analogy Between Torsion and Bending
8.5.2 Various Definitions of Lever Arm Area A0
8.5.3 Thickness of Shear Flow Zone for Design
8.5.4 Simplified Design Formulas
8.5.5 Design Limitations
REFERENCES
INDEX
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