{"product_id":"unified-theory-of-concrete-structures-9780470688748","title":"Unified Theory of Concrete Structures","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eUnified Theory of Concrete Structures develops an integrated theory that encompasses the various stress states experienced by both RC \u0026amp; PC structures under the various loading conditions of bending, axial load, shear and torsion.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eAbout the Authors xi\u003c\/p\u003e \u003cp\u003ePreface xv\u003c\/p\u003e \u003cp\u003eInstructors’ Guide xvii\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Introduction 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Overview 1\u003c\/p\u003e \u003cp\u003e1.2 Structural Engineering 2\u003c\/p\u003e \u003cp\u003e1.2.1 Structural Analysis 2\u003c\/p\u003e \u003cp\u003e1.2.2 Main Regions vs Local Regions 3\u003c\/p\u003e \u003cp\u003e1.2.3 Member and Joint Design 5\u003c\/p\u003e \u003cp\u003e1.3 Six Component Models of the Unified Theory 6\u003c\/p\u003e \u003cp\u003e1.3.1 Principles and Applications of the Six Models 6\u003c\/p\u003e \u003cp\u003e1.3.2 Historical Development of Theories for Reinforced Concrete 7\u003c\/p\u003e \u003cp\u003e1.4 Struts-and-ties Model 13\u003c\/p\u003e \u003cp\u003e1.4.1 General Description 13\u003c\/p\u003e \u003cp\u003e1.4.2 Struts-and-ties Model for Beams 14\u003c\/p\u003e \u003cp\u003e1.4.3 Struts-and-ties Model for Knee Joints 15\u003c\/p\u003e \u003cp\u003e1.4.4 Comments 20\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Equilibrium (Plasticity) Truss Model 23\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Basic Equilibrium Equations 23\u003c\/p\u003e \u003cp\u003e2.1.1 Equilibrium in Bending 23\u003c\/p\u003e \u003cp\u003e2.1.2 Equilibrium in Element Shear 24\u003c\/p\u003e \u003cp\u003e2.1.3 Equilibrium in Beam Shear 33\u003c\/p\u003e \u003cp\u003e2.1.4 Equilibrium in Torsion 34\u003c\/p\u003e \u003cp\u003e2.1.5 Summary of Basic Equilibrium Equations 37\u003c\/p\u003e \u003cp\u003e2.2 Interaction Relationships 38\u003c\/p\u003e \u003cp\u003e2.2.1 Shear–Bending Interaction 38\u003c\/p\u003e \u003cp\u003e2.2.2 Torsion–Bending Interaction 41\u003c\/p\u003e \u003cp\u003e2.2.3 Shear–Torsion–Bending Interaction 44\u003c\/p\u003e \u003cp\u003e2.2.4 Axial Tension–Shear–Bending Interaction 51\u003c\/p\u003e \u003cp\u003e2.3 ACI Shear and Torsion Provisions 51\u003c\/p\u003e \u003cp\u003e2.3.1 Torsional Steel Design 52\u003c\/p\u003e \u003cp\u003e2.3.2 Shear Steel Design 55\u003c\/p\u003e \u003cp\u003e2.3.3 Maximum Shear and Torsional Strengths 56\u003c\/p\u003e \u003cp\u003e2.3.4 Other Design Considerations 58\u003c\/p\u003e \u003cp\u003e2.3.5 Design Example 60\u003c\/p\u003e \u003cp\u003e2.4 Comments on the Equilibrium (Plasticity) Truss Model 67\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Bending and Axial Loads 71\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Linear Bending Theory 71\u003c\/p\u003e \u003cp\u003e3.1.1 Bernoulli Compatibility Truss Model 71\u003c\/p\u003e \u003cp\u003e3.1.2 Transformed Area for Reinforcing Bars 77\u003c\/p\u003e \u003cp\u003e3.1.3 Bending Rigidities of Cracked Sections 78\u003c\/p\u003e \u003cp\u003e3.1.4 Bending Rigidities of Uncracked Sections 82\u003c\/p\u003e \u003cp\u003e3.1.5 Bending Deflections of Reinforced Concrete Members 84\u003c\/p\u003e \u003cp\u003e3.2 Nonlinear Bending Theory 88\u003c\/p\u003e \u003cp\u003e3.2.1 Bernoulli Compatibility Truss Model 88\u003c\/p\u003e \u003cp\u003e3.2.2 Singly Reinforced Rectangular Beams 93\u003c\/p\u003e \u003cp\u003e3.2.3 Doubly Reinforced Rectangular Beams 101\u003c\/p\u003e \u003cp\u003e3.2.4 Flanged Beams 105\u003c\/p\u003e \u003cp\u003e3.2.5 Moment–Curvature (M–φ) Relationships 108\u003c\/p\u003e \u003cp\u003e3.3 Combined Bending and Axial Load 112\u003c\/p\u003e \u003cp\u003e3.3.1 Plastic Centroid and Eccentric Loading 112\u003c\/p\u003e \u003cp\u003e3.3.2 Balanced Condition 115\u003c\/p\u003e \u003cp\u003e3.3.3 Tension Failure 116\u003c\/p\u003e \u003cp\u003e3.3.4 Compression Failure 118\u003c\/p\u003e \u003cp\u003e3.3.5 Bending–Axial Load Interaction 121\u003c\/p\u003e \u003cp\u003e3.3.6 Moment–Axial Load–Curvature (M−N− φ) Relationship 122\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Fundamentals of Shear 125\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Stresses in 2-D Elements 125\u003c\/p\u003e \u003cp\u003e4.1.1 Stress Transformation 125\u003c\/p\u003e \u003cp\u003e4.1.2 Mohr Stress Circle 127\u003c\/p\u003e \u003cp\u003e4.1.3 Principal Stresses 131\u003c\/p\u003e \u003cp\u003e4.2 Strains in 2-D Elements 132\u003c\/p\u003e \u003cp\u003e4.2.1 Strain Transformation 132\u003c\/p\u003e \u003cp\u003e4.2.2 Geometric Relationships 134\u003c\/p\u003e \u003cp\u003e4.2.3 Mohr Strain Circle 136\u003c\/p\u003e \u003cp\u003e4.2.4 Principle Strains 137\u003c\/p\u003e \u003cp\u003e4.3 Reinforced Concrete 2-D Elements 138\u003c\/p\u003e \u003cp\u003e4.3.1 Stress Condition and Crack Pattern in RC 2-D Elements 138\u003c\/p\u003e \u003cp\u003e4.3.2 Fixed Angle Theory 140\u003c\/p\u003e \u003cp\u003e4.3.3 Rotating Angle Theory 142\u003c\/p\u003e \u003cp\u003e4.3.4 ‘Contribution of Concrete’ (Vc) 143\u003c\/p\u003e \u003cp\u003e4.3.5 Mohr Stress Circles for RC Shear Elements 145\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Rotating Angle Shear Theories 149\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Stress Equilibrium of RC 2-D Elements 149\u003c\/p\u003e \u003cp\u003e5.1.1 Transformation Type of Equilibrium Equations 149\u003c\/p\u003e \u003cp\u003e5.1.2 First Type of Equilibrium Equations 150\u003c\/p\u003e \u003cp\u003e5.1.3 Second Type of Equilibrium Equations 152\u003c\/p\u003e \u003cp\u003e5.1.4 Equilibrium Equations in Terms of Double Angle 153\u003c\/p\u003e \u003cp\u003e5.1.5 Example Problem 5.1 Using Equilibrium (Plasticity) Truss Model 154\u003c\/p\u003e \u003cp\u003e5.2 Strain Compatibility of RC 2-D Elements 158\u003c\/p\u003e \u003cp\u003e5.2.1 Transformation Type of Compatibility Equations 158\u003c\/p\u003e \u003cp\u003e5.2.2 First Type of Compatibility Equations 159\u003c\/p\u003e \u003cp\u003e5.2.3 Second Type of Compatibility Equations 160\u003c\/p\u003e \u003cp\u003e5.2.4 Crack Control 161\u003c\/p\u003e \u003cp\u003e5.3 Mohr Compatibility Truss Model (MCTM) 165\u003c\/p\u003e \u003cp\u003e5.3.1 Basic Principles of MCTM 165\u003c\/p\u003e \u003cp\u003e5.3.2 Summary of Equations 166\u003c\/p\u003e \u003cp\u003e5.3.3 Solution Algorithm 167\u003c\/p\u003e \u003cp\u003e5.3.4 Example Problem 5.2 using MCTM 168\u003c\/p\u003e \u003cp\u003e5.3.5 Allowable Stress Design of RC 2-D Elements 172\u003c\/p\u003e \u003cp\u003e5.4 Rotating Angle Softened Truss Model (RA-STM) 173\u003c\/p\u003e \u003cp\u003e5.4.1 Basic Principles of RA-STM 173\u003c\/p\u003e \u003cp\u003e5.4.2 Summary of Equations 174\u003c\/p\u003e \u003cp\u003e5.4.3 Solution Algorithm 178\u003c\/p\u003e \u003cp\u003e5.4.4 Example Problem 5.3 for Sequential Loading 181\u003c\/p\u003e \u003cp\u003e5.4.5 2-D Elements under Proportional Loading 188\u003c\/p\u003e \u003cp\u003e5.4.6 Example Problem 5.4 for Proportional Loading 194\u003c\/p\u003e \u003cp\u003e5.4.7 Failure Modes of RC 2-D Elements 202\u003c\/p\u003e \u003cp\u003e5.5 Concluding Remarks 209\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Fixed Angle Shear Theories 211\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Softened Membrane Model (SMM) 211\u003c\/p\u003e \u003cp\u003e6.1.1 Basic Principles of SMM 211\u003c\/p\u003e \u003cp\u003e6.1.2 Research in RC 2-D Elements 213\u003c\/p\u003e \u003cp\u003e6.1.3 Poisson Effect in Reinforced Concrete 216\u003c\/p\u003e \u003cp\u003e6.1.4 Hsu\/Zhu Ratios ν12 and ν21 219\u003c\/p\u003e \u003cp\u003e6.1.5 Experimental Stress–Strain Curves 225\u003c\/p\u003e \u003cp\u003e6.1.6 Softened Stress–Strain Relationship of Concrete in Compression 227\u003c\/p\u003e \u003cp\u003e6.1.7 Softening Coefficient ζ 228\u003c\/p\u003e \u003cp\u003e6.1.8 Smeared Stress–Strain Relationship of Concrete in Tension 232\u003c\/p\u003e \u003cp\u003e6.1.9 Smeared Stress–Strain Relationship of Mild Steel Bars in Concrete 236\u003c\/p\u003e \u003cp\u003e6.1.10 Smeared Stress–Strain Relationship of Concrete in Shear 245\u003c\/p\u003e \u003cp\u003e6.1.11 Solution Algorithm 246\u003c\/p\u003e \u003cp\u003e6.1.12 Example Problem 6.1 248\u003c\/p\u003e \u003cp\u003e6.2 Fixed Angle Softened Truss Model (FA-STM) 255\u003c\/p\u003e \u003cp\u003e6.2.1 Basic Principles of FA-STM 255\u003c\/p\u003e \u003cp\u003e6.2.2 Solution Algorithm 257\u003c\/p\u003e \u003cp\u003e6.2.3 Example Problem 6.2 259\u003c\/p\u003e \u003cp\u003e6.3 Cyclic Softened Membrane Model (CSMM) 266\u003c\/p\u003e \u003cp\u003e6.3.1 Basic Principles of CSMM 266\u003c\/p\u003e \u003cp\u003e6.3.2 Cyclic Stress–Strain Curves of Concrete 267\u003c\/p\u003e \u003cp\u003e6.3.3 Cyclic Stress–Strain Curves of Mild Steel 272\u003c\/p\u003e \u003cp\u003e6.3.4 Hsu\/Zhu Ratios υTC and υCT 274\u003c\/p\u003e \u003cp\u003e6.3.5 Solution Procedure 274\u003c\/p\u003e \u003cp\u003e6.3.6 Hysteretic Loops 276\u003c\/p\u003e \u003cp\u003e6.3.7 Mechanism of Pinching and Failure under Cyclic Shear 281\u003c\/p\u003e \u003cp\u003e6.3.8 Eight Demonstration Panels 284\u003c\/p\u003e \u003cp\u003e6.3.9 Shear Stiffness 287\u003c\/p\u003e \u003cp\u003e6.3.10 Shear Ductility 288\u003c\/p\u003e \u003cp\u003e6.3.11 Shear Energy Dissipation 289\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Torsion 295\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Analysis of Torsion 295\u003c\/p\u003e \u003cp\u003e7.1.1 Equilibrium Equations 295\u003c\/p\u003e \u003cp\u003e7.1.2 Compatibility Equations 297\u003c\/p\u003e \u003cp\u003e7.1.3 Constitutive Relationships of Concrete 302\u003c\/p\u003e \u003cp\u003e7.1.4 Governing Equations for Torsion 307\u003c\/p\u003e \u003cp\u003e7.1.5 Method of Solution 309\u003c\/p\u003e \u003cp\u003e7.1.6 Example Problem 7.1 314\u003c\/p\u003e \u003cp\u003e7.2 Design for Torsion 320\u003c\/p\u003e \u003cp\u003e7.2.1 Analogy between Torsion and Bending 320\u003c\/p\u003e \u003cp\u003e7.2.2 Various Definitions of Lever Arm Area, Ao 322\u003c\/p\u003e \u003cp\u003e7.2.3 Thickness td of Shear Flow Zone for Design 323\u003c\/p\u003e \u003cp\u003e7.2.4 Simplified Design Formula for td 326\u003c\/p\u003e \u003cp\u003e7.2.5 Compatibility Torsion in Spandrel Beams 328\u003c\/p\u003e \u003cp\u003e7.2.6 Minimum Longitudinal Torsional Steel 337\u003c\/p\u003e \u003cp\u003e7.2.7 Design Examples 7.2 338\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Beams in Shear 343\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Plasticity Truss Model for Beam Analysis 343\u003c\/p\u003e \u003cp\u003e8.1.1 Beams Subjected to Midspan Concentrated Load 343\u003c\/p\u003e \u003cp\u003e8.1.2 Beams Subjected to Uniformly Distributed Load 346\u003c\/p\u003e \u003cp\u003e8.2 Compatibility Truss Model for Beam Analysis 350\u003c\/p\u003e \u003cp\u003e8.2.1 Analysis of Beams Subjected to Uniformly Distributed Load 350\u003c\/p\u003e \u003cp\u003e8.2.2 Stirrup Forces and Triangular Shear Diagram 351\u003c\/p\u003e \u003cp\u003e8.2.3 Longitudinal Web Steel Forces 354\u003c\/p\u003e \u003cp\u003e8.2.4 Steel Stresses along a Diagonal Crack 355\u003c\/p\u003e \u003cp\u003e8.3 Shear Design of Prestressed Concrete I-beams 356\u003c\/p\u003e \u003cp\u003e8.3.1 Background Information 356\u003c\/p\u003e \u003cp\u003e8.3.2 Prestressed Concrete I-Beam Tests at University of Houston 357\u003c\/p\u003e \u003cp\u003e8.3.3 UH Shear Strength Equation 364\u003c\/p\u003e \u003cp\u003e8.3.4 Maximum Shear Strength 368\u003c\/p\u003e \u003cp\u003e8.3.5 Minimum Stirrup Requirement 371\u003c\/p\u003e \u003cp\u003e8.3.6 Comparisons of Shear Design Methods with Tests 372\u003c\/p\u003e \u003cp\u003e8.3.7 Shear Design Example 375\u003c\/p\u003e \u003cp\u003e8.3.8 Three Shear Design Examples 379\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Finite Element Modeling of Frames and Walls 381\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Overview 381\u003c\/p\u003e \u003cp\u003e9.1.1 Finite Element Analysis (FEA) 381\u003c\/p\u003e \u003cp\u003e9.1.2 OpenSees–an Object-oriented FEA Framework 383\u003c\/p\u003e \u003cp\u003e9.1.3 Material Models 384\u003c\/p\u003e \u003cp\u003e9.1.4 FEA Formulations of 1-D and 2-D Models 384\u003c\/p\u003e \u003cp\u003e9.2 Material Models for Concrete Structures 385\u003c\/p\u003e \u003cp\u003e9.2.1 Material Models in OpenSees 385\u003c\/p\u003e \u003cp\u003e9.2.2 Material Models Developed at UH 388\u003c\/p\u003e \u003cp\u003e9.3 1-D Fiber Model for Frames 392\u003c\/p\u003e \u003cp\u003e9.4 2-D CSMM Model for Walls 393\u003c\/p\u003e \u003cp\u003e9.4.1 Coordinate Systems for Concrete Structures 393\u003c\/p\u003e \u003cp\u003e9.4.2 Implementation 394\u003c\/p\u003e \u003cp\u003e9.4.3 Analysis Procedures 396\u003c\/p\u003e \u003cp\u003e9.5 Equation of Motion for Earthquake Loading 396\u003c\/p\u003e \u003cp\u003e9.5.1 Single Degree of Freedom versus Multiple Degrees of Freedom 396\u003c\/p\u003e \u003cp\u003e9.5.2 A Three-degrees-of-freedom Building 399\u003c\/p\u003e \u003cp\u003e9.5.3 Damping 400\u003c\/p\u003e \u003cp\u003e9.6 Nonlinear Analysis Algorithm 402\u003c\/p\u003e \u003cp\u003e9.6.1 Load Control Iteration Scheme 402\u003c\/p\u003e \u003cp\u003e9.6.2 Displacement Control Iteration Scheme 403\u003c\/p\u003e \u003cp\u003e9.6.3 Dynamic Analysis Iteration Scheme 403\u003c\/p\u003e \u003cp\u003e9.7 Nonlinear Finite Element Program SCS 406\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Application of Program SCS toWall-type Structures 411\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 RC Panels Under Static Load 411\u003c\/p\u003e \u003cp\u003e10.2 Prestresed Concrete Beams Under Static Load 413\u003c\/p\u003e \u003cp\u003e10.3 Framed Shear Walls under Reversed Cyclic Load 414\u003c\/p\u003e \u003cp\u003e10.3.1Framed Shear Wall Units at UH 414\u003c\/p\u003e \u003cp\u003e10.3.2Low-rise Framed Shear Walls at NCREE 417\u003c\/p\u003e \u003cp\u003e10.3.3Mid-rise Framed Shear Walls at NCREE 420\u003c\/p\u003e \u003cp\u003e10.4 Post-tensioned Precast Bridge Columns under Reversed Cyclic Load 422\u003c\/p\u003e \u003cp\u003e10.5 Framed Shear Walls under Shake Table Excitations 425\u003c\/p\u003e \u003cp\u003e10.6 A Seven-story Wall Building under Shake Table Excitations 428\u003c\/p\u003e \u003cp\u003eAppendix 433\u003c\/p\u003e \u003cp\u003eReferences 481\u003c\/p\u003e \u003cp\u003eIndex 489\u003c\/p\u003e","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49402411942231,"sku":"9780470688748","price":117.85,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780470688748.jpg?v=1730480319","url":"https:\/\/bookcurl.com\/products\/unified-theory-of-concrete-structures-9780470688748","provider":"Book Curl","version":"1.0","type":"link"}