Unified theory of concrete structures

Author

• Hsu, Thomas T. C.

Additional Author(s)

• Mo, Yi-Lung

Publisher

West Sussex: John Wiley & Sons, Ltd, 2010

Language

English

ISBN

9780470688748

Series

Subject(s)

• REINFORCED CONCRETE CONSTRUCTION

Notes

. Bibliography: p. 481-487. Index: p. 489-500

Abstract

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

Physical Dimension

Number of Page(s)

xviii, 500 p.

Dimension

25 cm.

Other Desc.

ill.

Summary / Review / Table of Content

About the Authors
xi Preface
xv Instructors Guide
xvii 1 Introduction
1 1.1 Overview
1 1.2 Structural Engineering
2 1.2.1 Structural Analysis
2 1.2.2 Main Regions vs Local Regions
3 1.2.3 Member and Joint Design
5 1.3 Six Component Models of the Unified Theory
6 1.3.1 Principles and Applications of the Six Models
6 1.3.2 Historical Development of Theories for Reinforced Concrete
7 1.4 Struts-and-ties Model
13 1.4.1 General Description
13 1.4.2 Struts-and-ties Model for Beams
14 1.4.3 Struts-and-ties Model for Knee Joints
15 1.4.4 Comments 20 2 Equilibrium (Plasticity) Truss Model
23 2.1 Basic Equilibrium Equations
23 2.1.1 Equilibrium in Bending
23 2.1.2 Equilibrium in Element Shear
24 2.1.3 Equilibrium in Beam Shear
33 2.1.4 Equilibrium in Torsion
34 2.1.5 Summary of Basic Equilibrium Equations
37 2.2 Interaction Relationships
38 2.2.1 Shear Bending Interaction
38 2.2.2 Torsion Bending Interaction
41 2.2.3 Shear Torsion Bending Interaction
44 2.2.4 Axial Tension Shear Bending Interaction
51 2.3 ACI Shear and Torsion Provisions
51 2.3.1 Torsional Steel Design
52 2.3.2 Shear Steel Design
55 2.3.3 Maximum Shear and Torsional Strengths
56 2.3.4 Other Design Considerations
58 2.3.5 Design Example
60 2.4 Comments on the Equilibrium (Plasticity) Truss Model
67 3 Bending and Axial Loads
71 3.1 Linear Bending Theory
71 3.1.1 Bernoulli Compatibility Truss Model
71 3.1.2 Transformed Area for Reinforcing Bars
77 3.1.3 Bending Rigidities of Cracked Sections
78 3.1.4 Bending Rigidities of Uncracked Sections
82 3.1.5 Bending Deflections of Reinforced Concrete Members
84 3.2 Nonlinear Bending Theory
88 3.2.1 Bernoulli Compatibility Truss Model
88 3.2.2 Singly Reinforced Rectangular Beams
93 3.2.3 Doubly Reinforced Rectangular Beams
101 3.2.4 Flanged Beams
105 3.2.5 Moment Curvature (M ) Relationships
108 3.3 Combined Bending and Axial Load
112 3.3.1 Plastic Centroid and Eccentric Loading
112 3.3.2 Balanced Condition
115 3.3.3 Tension Failure
116 3.3.4 Compression Failure
118 3.3.5 Bending Axial Load Interaction
121 3.3.6 Moment Axial Load Curvature (M N ) Relationship
122 4 Fundamentals of Shear
125 4.1 Stresses in 2-D Elements
125 4.1.1 Stress Transformation
125 4.1.2 Mohr Stress Circle
127 4.1.3 Principal Stresses
131 4.2 Strains in 2-D Elements
132 4.2.1 Strain Transformation
132 4.2.2 Geometric Relationships
134 4.2.3 Mohr Strain Circle
136 4.2.4 Principle Strains
137 4.3 Reinforced Concrete 2-D Elements
138 4.3.1 Stress Condition and Crack Pattern in RC 2-D Elements
138 4.3.2 Fixed Angle Theory
140 4.3.3 Rotating Angle Theory
142 4.3.4 Contribution of Concrete (Vc)
143 4.3.5 Mohr Stress Circles for RC Shear Elements
145 5 Rotating Angle Shear Theories
149 5.1 Stress Equilibrium of RC 2-D Elements
149 5.1.1 Transformation Type of Equilibrium Equations
149 5.1.2 First Type of Equilibrium Equations
150 5.1.3 Second Type of Equilibrium Equations
152 5.1.4 Equilibrium Equations in Terms of Double Angle
153 5.1.5 Example Problem 5.1 Using Equilibrium (Plasticity) Truss Model
154 5.2 Strain Compatibility of RC 2-D Elements
158 5.2.1 Transformation Type of Compatibility Equations
158 5.2.2 First Type of Compatibility Equations
159 5.2.3 Second Type of Compatibility Equations
160 5.2.4 Crack Control
161 5.3 Mohr Compatibility Truss Model (MCTM)
165 5.3.1 Basic Principles of MCTM
165 5.3.2 Summary of Equations
166 5.3.3 Solution Algorithm
167 5.3.4 Example Problem 5.2 using MCTM
168 5.3.5 Allowable Stress Design of RC 2-D Elements
172 5.4 Rotating Angle Softened Truss Model (RA-STM)
173 5.4.1 Basic Principles of RA-STM
173 5.4.2 Summary of Equations
174 5.4.3 Solution Algorithm
178 5.4.4 Example Problem 5.3 for Sequential Loading
181 5.4.5 2-D Elements under Proportional Loading
188 5.4.6 Example Problem 5.4 for Proportional Loading
194 5.4.7 Failure Modes of RC 2-D Elements
202 5.5 Concluding Remarks 209 6 Fixed Angle Shear Theories
211 6.1 Softened Membrane Model (SMM)
211 6.1.1 Basic Principles of SMM
211 6.1.2 Research in RC 2-D Elements
213 6.1.3 Poisson Effect in Reinforced Concrete
216 6.1.4 Hsu/Zhu Ratios 12 and 21
219 6.1.5 Experimental Stress Strain Curves
225 6.1.6 Softened Stress Strain Relationship of Concrete in Compression
227 6.1.7 Softening Coefficient
228 6.1.8 Smeared Stress Strain Relationship of Concrete in Tension
232 6.1.9 Smeared Stress Strain Relationship of Mild Steel Bars in Concrete
236 6.1.10 Smeared Stress Strain Relationship of Concrete in Shear
245 6.1.11 Solution Algorithm
246 6.1.12 Example Problem 6.1
248 6.2 Fixed Angle Softened Truss Model (FA-STM)
255 6.2.1 Basic Principles of FA-STM
255 6.2.2 Solution Algorithm
257 6.2.3 Example Problem 6.2
259 6.3 Cyclic Softened Membrane Model (CSMM)
266 6.3.1 Basic Principles of CSMM
266 6.3.2 Cyclic Stress Strain Curves of Concrete
267 6.3.3 Cyclic Stress Strain Curves of Mild Steel
272 6.3.4 Hsu/Zhu Ratios TC and CT
274 6.3.5 Solution Procedure
274 6.3.6 Hysteretic Loops
276 6.3.7 Mechanism of Pinching and Failure under Cyclic Shear
281 6.3.8 Eight Demonstration Panels
284 6.3.9 Shear Stiffness
287 6.3.10 Shear Ductility
288 6.3.11 Shear Energy Dissipation
289 7 Torsion
295 7.1 Analysis of Torsion
295 7.1.1 Equilibrium Equations
295 7.1.2 Compatibility Equations
297 7.1.3 Constitutive Relationships of Concrete
302 7.1.4 Governing Equations for Torsion
307 7.1.5 Method of Solution
309 7.1.6 Example Problem 7.1
314 7.2 Design for Torsion
320 7.2.1 Analogy between Torsion and Bending
320 7.2.2 Various Definitions of Lever Arm Area, Ao
322 7.2.3 Thickness td of Shear Flow Zone for Design
323 7.2.4 Simplified Design Formula for td
326 7.2.5 Compatibility Torsion in Spandrel Beams
328 7.2.6 Minimum Longitudinal Torsional Steel
337 7.2.7 Design Examples 7.2
338 8 Beams in Shear
343 8.1 Plasticity Truss Model for Beam Analysis
343 8.1.1 Beams Subjected to Midspan Concentrated Load
343 8.1.2 Beams Subjected to Uniformly Distributed Load
346 8.2 Compatibility Truss Model for Beam Analysis
350 8.2.1 Analysis of Beams Subjected to Uniformly Distributed Load
350 8.2.2 Stirrup Forces and Triangular Shear Diagram
351 8.2.3 Longitudinal Web Steel Forces
354 8.2.4 Steel Stresses along a Diagonal Crack
355 8.3 Shear Design of Prestressed Concrete I-beams
356 8.3.1 Background Information
356 8.3.2 Prestressed Concrete I-Beam Tests at University of Houston
357 8.3.3 UH Shear Strength Equation
364 8.3.4 Maximum Shear Strength
368 8.3.5 Minimum Stirrup Requirement
371 8.3.6 Comparisons of Shear Design Methods with Tests
372 8.3.7 Shear Design Example
375 8.3.8 Three Shear Design Examples
379 9 Finite Element Modeling of Frames and Walls
381 9.1 Overview
381 9.1.1 Finite Element Analysis (FEA)
381 9.1.2 OpenSees an Object-oriented FEA Framework
383 9.1.3 Material Models
384 9.1.4 FEA Formulations of 1-D and 2-D Models 384 9.2 Material Models for Concrete Structures 385 9.2.1 Material Models in OpenSees
385 9.2.2 Material Models Developed at UH
388 9.3 1-D Fiber Model for Frames
392 9.4 2-D CSMM Model for Walls
393 9.4.1 Coordinate Systems for Concrete Structures
393 9.4.2 Implementation
394 9.4.3 Analysis Procedures
396 9.5 Equation of Motion for Earthquake Loading
396 9.5.1 Single Degree of Freedom versus Multiple Degrees of Freedom
396 9.5.2 A Three-degrees-of-freedom Building
399 9.5.3 Damping
400 9.6 Nonlinear Analysis Algorithm
402 9.6.1 Load Control Iteration Scheme
402 9.6.2 Displacement Control Iteration Scheme
403 9.6.3 Dynamic Analysis Iteration Scheme
403 9.7 Nonlinear Finite Element Program SCS
406 10 Application of Program SCS toWall-type Structures
411 10.1 RC Panels Under Static Load
411 10.2 Prestresed Concrete Beams Under Static Load
413 10.3 Framed Shear Walls under Reversed Cyclic Load
414 10.3.1Framed Shear Wall Units at UH
414 10.3.2Low-rise Framed Shear Walls at NCREE
417 10.3.3Mid-rise Framed Shear Walls at NCREE
420 10.4 Post-tensioned Precast Bridge Columns under Reversed Cyclic Load
422 10.5 Framed Shear Walls under Shake Table Excitations
425 10.6 A Seven-story Wall Building under Shake Table Excitations 428 Appendix
433 References
481 Index
489

Exemplar(s)

#	Accession No.	Call Number	Location	Status
1.	03006/18	624.18341 Hsu U	Library - 7th Floor	Available