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# Unified Theory of Concrete Structures

• Published: April 2010
• 518 Pages
• John Wiley and Sons Ltd

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

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.

3.1 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.

9.6 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.

Thomas T. C. Hsu University of Houston.

Yi-Lung Mo University of Houston, USA.

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