Design of Reinforced Concrete Silo Groups (eBook)

Preface 6
Contents 8
List of Figures 10
List of Tables 12
1 Characterization and Brief Literature Review 13
References 15
2 Geometry and Loading 16
2.1 Geometry 16
2.2 Loading 16
2.2.1 Janssen’s Theory 18
2.2.2 Calculation of Overpressures 20
References 21
3 Two-Dimensional Linear Elastic Analyses—Slice Method 23
3.1 Modelling Using 2D Frame Elements 24
3.2 Applying Nodal Loads 25
3.3 Constraint Equations 26
3.4 Lagrange Multiplier Method 27
3.5 Modelling with Plane Strain Finite Element 30
3.6 Additional Shape Functions 31
3.7 Calculation of Stress Resultants 33
3.8 Results and Discussion 34
3.8.1 Deformed Geometry 34
3.8.2 Horizontal Normal Forces 35
3.8.3 Bending Moments 36
3.8.4 Bending Moments Envelope 42
References 43
4 Three-Dimensional Analysis 44
4.1 Introduction 44
4.2 Boundary Conditions 46
4.3 Modelling with Linear Finite Element 46
4.3.1 Loading in the Cell 47
4.3.2 Loading in the Interstice 50
4.4 Modelling with Shell Elements 51
4.5 Modelling with Solid and Shell Elements 53
4.6 Results and Discussion 56
References 61
5 Structural Behaviour and Simplified Model Proposition 62
5.1 Load Bearing Mechanism 62
5.2 Proposed Simplified Model 63
5.3 Fitting with the Least Square Method 68
5.4 Parametric Study 72
5.5 Procedure Proposed 80
5.6 Results and Discussion 82
5.6.1 Bending Moments 82
5.6.2 Horizontal Normal Forces 85
References 91
6 Conclusions and Recommendations 92