Unified Theory of Concrete Structures

by Hsu, Thomas T. C.; Mo, Yi-Lung

• ISBN13: 9780470688892
• ISBN10: 0470688890
• Edition: 2nd
• Format: eBook
• Copyright: 2010-04-30
• Publisher: Wiley

Summary

This book develops an integrated theory that encompasses the various stress states experienced by concrete structures; bending, axial load, shear and torsion. Upon synthesis, the new rational theories should replace the many empirical formulas currently in use for shear, torsion and membrane stress. The unified theory is divided into six model components based on the fundamental principles employed and the degree of adherence to the rigorous principles of mechanics of materials. The six models are: the struts-and-ties model, the equilibrium (plasticity) truss model, the Bernoulli compatibility truss model, the Mohr compatibility truss model, the softened truss model, the softened membrane model.In this book the six models are presented as rational tools for the solution of the four basic types of stress: bending, axial load, and particularly, the 2-D shear and the 3-D torsion. Both the four basic actions and the six model components of unified theory are presented in a systematic manner, 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.

Table of Contents

About the Authors.

Preface.

Instructors’ Guide.

1 Introduction.

1.1 Overview.

1.2 Structural Engineering.

1.3 Six Component Models of the Unified Theory.

1.4 Struts-and-ties Model.

2 Equilibrium (Plasticity) Truss Model.

2.1 Basic Equilibrium Equations.

2.2 Interaction Relationships.

2.3 ACI Shear and Torsion Provisions.

2.4 Comments on the Equilibrium (Plasticity) Truss Model.

3 Bending and Axial Loads.

3.1 Linear Bending Theory.

3.2 Nonlinear Bending Theory.

3.3 Combined Bending and Axial Load.

4 Fundamentals of Shear.

4.1 Stresses in 2-D Elements.

4.2 Strains in 2-D Elements.

4.3 Reinforced Concrete 2-D Elements.

5 Rotating Angle Shear Theories.

5.1 Stress Equilibrium of RC 2-D Elements.

5.2 Strain Compatibility of RC 2-D Elements.

5.3 Mohr Compatibility Truss Model (MCTM).

5.4 Rotating Angle Softened Truss Model (RA-STM).

5.5 Concluding Remarks.

6 Fixed Angle Shear Theories.

6.1 Softened Membrane Model (SMM).

6.2 Fixed Angle Softened Truss Model (FA-STM).

6.3 Cyclic Softened Membrane Model (CSMM).

7 Torsion.

7.1 Analysis of Torsion.

7.2 Design for Torsion.

8 Beams in Shear.

8.1 Plasticity Truss Model for Beam Analysis.

8.2 Compatibility Truss Model for Beam Analysis.

8.3 Shear Design of Prestressed Concrete I-beams.

9 Finite Element Modeling of Frames and Walls.

9.1 Overview.

9.2 Material Models for Concrete Structures.

9.3 1-D Fiber Model for Frames.

9.4 2-D CSMM Model for Walls.

9.5 Equation of Motion for Earthquake Loading.

9.6 Nonlinear Analysis Algorithm.

9.7 Nonlinear Finite Element Program SCS.

10 Application of Program SCS to Wall-type Structures.

10.1 RC Panels Under Static Load.

10.2 Prestresed Concrete Beams Under Static Load.

10.3 Framed Shear Walls under Reversed Cyclic Load.

10.4 Post-tensioned Precast Bridge Columns under Reversed Cyclic Load.

10.5 Framed Shear Walls under Shake Table Excitations.

10.6 A Seven-story Wall Building under Shake Table Excitations.

Appendix.

References.

Index.