Unified Theory of Concrete Structures by Thomas T. C. Hsu, and Y. L. Mo

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Unified Theory of Concrete Structures

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Contents of Unified Theory of Concrete Structures eBook

  • Instructors’ Guide
  • Introduction
  • Overview
  • Structural Engineering
  • Structural Analysis
  • Main Regions vs Local Regions
  • Member and Joint Design
  • Six Component Models of the Unified Theory
  • Principles and Applications of the Six Models
  • Historical Development of Theories for Reinforced Concrete
  • Struts-and-ties Model
  • General Description
  • Struts-and-ties Model for Beams
  • Struts-and-ties Model for Knee Joints
  • Comments
  • Equilibrium (Plasticity) Truss Model
  • Basic Equilibrium Equations
  • Equilibrium in Bending
  • Equilibrium in Element Shear
  • Equilibrium in Beam Shear
  • Equilibrium in Torsion
  • Summary of Basic Equilibrium Equations
  • Interaction Relationships
  • Shear–Bending Interaction
  • Torsion–Bending Interaction
  • Shear–Torsion–Bending Interaction
  • Axial Tension–Shear–Bending Interaction
  • ACI Shear and Torsion Provisions
  • Torsional Steel Design
  • Shear Steel Design
  • Maximum Shear and Torsional Strengths
  • Other Design Considerations
  • Design Example
  • Comments on the Equilibrium (Plasticity) Truss Model
  • Bending and Axial Loads
  • Linear Bending Theory
  • Bernoulli Compatibility Truss Model
  • Transformed Area for Reinforcing Bars
  • Bending Rigidities of Cracked Sections
  • Bending Rigidities of Uncracked Sections
  • Bending Deflections of Reinforced Concrete Members
  • Nonlinear Bending Theory
  • Bernoulli Compatibility Truss Model
  • Singly Reinforced Rectangular Beams
  • Doubly Reinforced Rectangular Beams
  • Flanged Beams
  • Moment–Curvature (M–φ) Relationships
  • Combined Bending and Axial Load
  • Plastic Centroid and Eccentric Loading
  • Balanced Condition
  • Tension Failure
  • Compression Failure
  • Bending–Axial Load Interaction
  • Moment–Axial Load–Curvature (M −N − φ) Relationship
  • Fundamentals of Shear
  • Stresses in -D Elements
  • Stress Transformation
  • Mohr Stress Circle
  • Principal Stresses
  • Strains in -D Elements
  • Strain Transformation
  • Geometric Relationships
  • Mohr Strain Circle
  • Principle Strains
  • Reinforced Concrete -D Elements
  • Stress Condition and Crack Pattern in RC -D Elements
  • Fixed Angle Theory
  • Rotating Angle Theory
  • Contribution of Concrete (Vc)
  • Mohr Stress Circles for RC Shear Elements
  • Rotating Angle Shear Theories
  • Stress Equilibrium of RC -D Elements
  • Transformation Type of Equilibrium Equations
  • First Type of Equilibrium Equations
  • Second Type of Equilibrium Equations
  • Equilibrium Equations in Terms of Double Angle
  • Example Problem Using Equilibrium (Plasticity) Truss Model
  • Strain Compatibility of RC -D Elements
  • Transformation Type of Compatibility Equations
  • First Type of Compatibility Equations
  • Second Type of Compatibility Equations
  • Crack Control
  • Mohr Compatibility Truss Model (MCTM)
  • Basic Principles of MCTM
  • Summary of Equations
  • Solution Algorithm
  • Example Problem using MCTM
  • Allowable Stress Design of RC -D Elements
  • Rotating Angle Softened Truss Model (RA-STM)
  • Basic Principles of RA-STM
  • Summary of Equations
  • Solution Algorithm
  • Example Problem for Sequential Loading
  • Elements under Proportional Loading
  • Example Problem for Proportional Loading
  • Failure Modes of RC -D Elements
  • Concluding Remarks
  • Fixed Angle Shear Theories
  • Softened Membrane Model (SMM)
  • Basic Principles of SMM
  • Research in RC -D Elements
  • Poisson Effect in Reinforced Concrete
  • Hsu/Zhu Ratios ν and ν
  • Experimental Stress–Strain Curves
  • Softened Stress–Strain Relationship of Concrete in Compression
  • Softening Coefficient ζ
  • Smeared Stress–Strain Relationship of Concrete in Tension
  • Smeared Stress–Strain Relationship of Mild Steel Bars in Concrete
  • Smeared Stress–Strain Relationship of Concrete in Shear
  • Solution Algorithm
  • Example Problem
  • Fixed Angle Softened Truss Model (FA-STM)
  • Basic Principles of FA-STM
  • Solution Algorithm
  • Example Problem
  • Cyclic Softened Membrane Model (CSMM)
  • Basic Principles of CSMM
  • Cyclic Stress–Strain Curves of Concrete
  • Cyclic Stress–Strain Curves of Mild Steel
  • Hsu/Zhu Ratios υTC and υCT
  • Solution Procedure
  • Hysteretic Loops
  • Mechanism of Pinching and Failure under Cyclic Shear
  • Eight Demonstration Panels
  • Shear Stiffness
  • Shear Ductility
  • Shear Energy Dissipation
  • Torsion
  • Analysis of Torsion
  • Equilibrium Equations
  • Compatibility Equations
  • Constitutive Relationships of Concrete
  • Governing Equations for Torsion
  • Method of Solution
  • Example Problem
  • Design for Torsion
  • Analogy between Torsion and Bending
  • Various Definitions of Lever Arm Area, Ao
  • Thickness td of Shear Flow Zone for Design
  • Simplified Design Formula for td
  • Compatibility Torsion in Spandrel Beams
  • Minimum Longitudinal Torsional Steel
  • Design Examples
  • Beams in Shear
  • Plasticity Truss Model for Beam Analysis
  • Beams Subjected to Midspan Concentrated Load
  • Beams Subjected to Uniformly Distributed Load
  • Compatibility Truss Model for Beam Analysis
  • Analysis of Beams Subjected to Uniformly Distributed Load
  • Stirrup Forces and Triangular Shear Diagram
  • Longitudinal Web Steel Forces
  • Steel Stresses along a Diagonal Crack
  • Shear Design of Prestressed Concrete I-beams
  • Background Information
  • Prestressed Concrete I-Beam Tests at University of Houston
  • UH Shear Strength Equation
  • Maximum Shear Strength
  • Minimum Stirrup Requirement
  • Comparisons of Shear Design Methods with Tests
  • Shear Design Example
  • Three Shear Design Examples
  • Finite Element Modeling of Frames and Walls
  • Overview
  • Finite Element Analysis (FEA)
  • OpenSees–an Object-oriented FEA Framework
  • Material Models
  • FEA Formulations of -D and -D Models
  • Material Models for Concrete Structures
  • Material Models in OpenSees
  • Material Models Developed at UH
  • Coordinate Systems for Concrete Structures
  • Implementation
  • Analysis Procedures
  • Equation of Motion for Earthquake Loading
  • Single Degree of Freedom versus Multiple Degrees of Freedom
  • A Three-degrees-of-freedom Building
  • Damping
  • Nonlinear Analysis Algorithm
  • Load Control Iteration Scheme
  • Displacement Control Iteration Scheme
  • Dynamic Analysis Iteration Scheme
  • Nonlinear Finite Element Program SCS
  • Application of Program SCS to Wall-type Structures
  • RC Panels Under Static Load
  • Prestresed Concrete Beams Under Static Load
  • Framed Shear Walls under Reversed Cyclic Load
  • Framed Shear Wall Units at UH
  • Low-rise Framed Shear Walls at NCREE
  • Mid-rise Framed Shear Walls at NCREE
  • Post-tensioned Precast Bridge Columns under Reversed Cyclic Load
  • Framed Shear Walls under Shake Table Excitations
  • A Seven-story Wall Building under Shake Table Excitations

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