Unified Theory of Concrete Structures

by Thomas T. C. Hsu (University of Houston); Yi-Lung Mo (University of Houston, USA)

• ISBN13: 9780470688885
• ISBN10: 0470688882
• Format: eBook
• Copyright: 2010-03-01
• Publisher: Wiley

Summary

Unified Theory of Concrete Structures develops an integrated theory that encompasses the various stress states experienced by both RC & PC structures under the various loading conditions of bending, axial load, shear and torsion. Upon synthesis, the new rational theories replace the many empirical formulas currently in use for shear, torsion and membrane stress.

The unified theory is divided into six model components: a) the struts-and-ties model, b) the equilibrium (plasticity) truss model, c) the Bernoulli compatibility truss model, d) the Mohr compatibility truss model, e) the softened truss model, and f) the softened membrane model. Hsu presents the six models as rational tools for the solution of the four basic types of stress, focusing on the significance of their intrinsic consistencies and their inter-relationships. Because of its inherent rationality, this unified theory of reinforced concrete can serve as the basis for the formulation of a universal and international design code.

*Includes an appendix and accompanying website hosting the authors’ finite element program SCS along with instructions and examples
*Offers comprehensive coverage of content ranging from fundamentals of flexure, shear and torsion all the way to non-linear finite element analysis and design of wall-type structures under earthquake loading.
*Authored by world-leading experts on torsion and shear

Table of Contents

About the Authors

Preface

Instructors' Guide

Introduction

Overview

Structural Engineering

Six Component Models of the Unified Theory

Struts-and-ties Model

Equilibrium (Plasticity) Truss Model

Basic Equilibrium Equations

Interaction Relationships

ACI Shear and Torsion Provisions

Comments on the Equilibrium (Plasticity) Truss Model

Bending and Axial Loads

Linear Bending Theory

Nonlinear Bending Theory

Combined Bending and Axial Load

Fundamentals of Shear

Stresses in 2-D Elements

Strains in 2-D Elements

Reinforced Concrete 2-D Elements

Rotating Angle Shear Theories

Stress Equilibrium of RC 2-D Elements

Strain Compatibility of RC 2-D Elements

Mohr Compatibility Truss Model (MCTM)

Rotating Angle Softened Truss Model (RA-STM)

Concluding Remarks

Fixed Angle Shear Theories

Softened Membrane Model (SMM)

Fixed Angle Softened Truss Model (FA-STM)

Cyclic Softened Membrane Model (CSMM)

Torsion

Analysis of Torsion

Design for Torsion

Beams in Shear

Plasticity Truss Model for Beam Analysis

Compatibility Truss Model for Beam Analysis

Shear Design of Prestressed Concrete I-beams

Finite Element Modeling of Frames and Walls

Overview

Material Models for Concrete Structures

1-D Fiber Model for Frames

2-D CSMM Model for Walls

Equation of Motion for Earthquake Loading

Nonlinear Analysis Algorithm

Nonlinear Finite Element Program SCS

Application of Program SCS toWall-type Structures

RC Panels Under Static Load

Prestresed Concrete Beams Under Static Load

Framed Shear Walls under Reversed Cyclic Load

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

Appendix

References

Index

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