Table of Contents
Preface vii
About the Author xiii
Chapter 1 Soils and Soil Models 1
1.1 Introduction 1
1.2 Winkler Foundation 2
1.3 Modulus of Subgrade Reaction for Individual Foundations 4
1.4 Elastic Half-Space or Elastic Continuum 7
1.5 Elastic Layer 15
References 26
Chapter 2 Analytical Methods of Analysis of Finite Beams on Winkler Foundation 29
2.1 Introduction 29
2.2 Analysis of Infinite and Semi-Infinite Beams on Winkler Foundation 30
2.3 Method of Superposition 34
2.4 Method of Initial Parameters and its Application to Analysis of Regular Beams 38
2.5 Method of Initial Parameters 43
2.6 Analysis of Continuous Beams and Frames on Winkler Foundation: The Stiffness Method 53
2.7 Exact Analysis of Frames on Winkler Foundation 60
2.8 Exact Analysis of Interconnected Beams on Winkler Foundation 73
2.9 Analysis of Rigid Piles with Horizontal Loads 84
2.10 Analysis of Rigid Piles with Horizontal and Vertical Loads 86
2.11 flexible Piles. Variable Lateral Modulus of Subgrade Reaction 88
References 115
Chapter 3 Simplified Analysis of Beams and Frames on Winkler Foundation 117
3.1 Introduction 117
3.2 Analysis of Free Supported Beams 117
3.3 Analysis of Beams with Various Boundary Conditions 123
3.4 Analysis of Interconnected Beams 130
3.5 Analysis of Pin-connected Beams 133
3.6 Analysis of Continuous Beams 136
3.7 Analysis of Stepped Beams 137
3.8 Analysis of Complex Beams on Winkler Foundation 149
3.9 Combined Analysis of Frames and Individual Foundations 150
3.10 The Second Method of Modeling and the Iterative Method 154
References 178
Chapter 4 Analysis of Beams on Elastic Half-Space 179
4.1 Introduction 179
4.2 Analysis of Rigid Beams 180
4.3 Short Beam Analysis 187
4.4 Analysis of Short Beams with Uniformly Distributed Loads 192
4.5 Analysis of Long Beams 193
4.6 Analysis of Complex Beams 196
4.7 Analysis of Frames on Elastic Half-space 200
References 241
Chapter 5 Analysis of Beams on Elastic Half-Space, Plane Strain Analysis 243
5.1 Introduction 243
5.2 The Method of Analysis 244
5.3 Analysis of Beams with Uniformly Distributed Loads 252
5.4 Analysis of Beams with Concentrated Vertical Loads 256
5.5 Analysis of Beams Loaded with Concentrated Moments 258
5.6 Deflections of Beams with Uniformly Distributed Loads 261
5.7 Deflections of Beams with Vertical Concentrated Loads 263
5.8 Deflections of Beams Loaded with Concentrated Moments 264
5.9 Combined Analysis of 2D Frames and Continuous Foundations 265
References 365
Chapter 6 Numerical Analysis of Beams Supported on Elastic Half-Space and Elastic Layer 367
6.1 Introduction 367
6.2 Settlements of an Elastic Half-Plane, Plane Strain Analysis 368
6.3 Settlements of an Elastic Half-Space, 3D Analysis 370
6.4 Analysis of Beams Supported on Elastic Half-Plane 372
6.5 3D Analysis of Beams Supported on Elastic Half-Space 376
6.6 Analysis of Beams with Various Boundary Conditions 383
6.7 Analysis of Complex Continuous Beams 386
6.8 Analysis of 2D Frames with Continuous Foundations 388
6.9 Analysis of a Group of Foundations 389
6.10 Analysis of Interconnected Beams 393
6.11 Other Methods of Analysis 397
6.12 Analysis of 2D and 3D Frames with Individual Foundations Supported on Elastic Half-Space 400
6.13 Analysis of Beams Supported on Elastic Layer 403
References 414
Chapter 7 Simplified Analysis of Mat Foundations 415
7.1 Introduction 415
7.2 Rigid Analysis 416
7.3 Elastic Analysis 418
7.4 Analysis of Infinite Plates Supported on Elastic Half-Space with a Vertical Concentrated Load 420
7.5 Analysis of Infinite Plates Supported on Elastic Layer with a Vertical Concentrated Load 422
7.6 Approximate Analysis of Rectangular Mat Foundations Supported on Elastic Half-Space 427
7.7 Approximate Analysis of Semi-Infinite Rectangular Plates Supported on Elastic Half-Space 431
References 474
Chapter 8 Numerical Analysis of Mat Foundations 475
8.1 Introduction 475
8.2 Analysis of Mats Supported on Winkler Foundation 476
8.3 Analysis of Mat Foundations Supported on Elastic Half-Space: The First Method 477
8.4 The Second Method 480
8.5 The Iterative Method 482
8.6 Zhemochkin's Method 483
8.7 Mats with Various Boundary Conditions 486
8.8 Combined Analysis of Mat Foundations and Superstructures 489
8.9 Combined Analysis of Walls, Frames and Mat Foundations 492
8.10 Analysis of Mat Foundations Supported on Piles 497
References 502
Chapter 9 Analysis of Circular Plates on Elastic Foundation 503
9.1 Introduction 503
9.2 Simplified Analysis of Circular Plates on Elastic Foundation 503
9.3 Circular Plates on Elastic Half-space; Equations and Tables 507
9.4 Totally Rigid Circular Plates Supported on Elastic Half-Space 510
9.5 Elastic Circular Plates Supported on Elastic Half-Space 512
9.6 Numerical Analysis of Circular and Ring Plates Supported on Elastic Foundation 517
9.7 Analysis of Ring Foundations 521
9.8 Analysis of Narrow Ring Foundations 523
9.9 Analytic-Numerical Analysis of Circular Plates on Elastic Foundation 525
References 556
Chapter 10 Special Structures on Elastic Foundation 557
10.1 Introduction 557
10.2 Analysis Composite Beams on Elastic Foundation 557
10.3 Analysis of Composite Plates on Elastic Foundation 560
10.4 Analysis of Boxed Foundations 566
10.5 Combined Analysis of Boxed Foundation and a 3D Frame-Superstructure 568
10.6 Analysis of Walls on Elastic Foundation 570
10.7 Analysis of Walls with a Soft Storey Supported on Elastic Foundation 573
10.8 Analysis of Walls Supported on Frames with Individual Foundations 576
References 578
