The plastic analysis method has been used extensively by engineers for designing steel structures. Simpler structures can be analyzed using the basic virtual work formulation, but more complex frames are evaluated with specialist computer software. This new book sets out a method for carrying out plastic analysis of complex structures without the need for specialist tools. The book provides an introduction to the use of linear programming techniques for plastic analysis. This powerful and advanced method for plastic analysis is important in an automated computational environment, in particular for non-linear structural analysis. A detailed comparison between the design codes for the United States and Australia and the emerging European Eurocodes enables practising engineers to understand the issues involved in plastic design procedures and the limitations imposed by this design method. * Covers latest research in plastic analysis and analytical tools * Introduces new successive approximation method for calculating collapse loads * Programming guide for using spreadsheet tools for plastic analysis
Author(s): M. Bill Wong
Publisher: Butterworth-Heinemann
Year: 2008
Language: English
Commentary: 72896
Pages: 257
Plastic Analysis and Design of Steel Structures......Page 4
Copyright Page......Page 5
Contents......Page 6
Preface......Page 10
1.1. Introduction......Page 12
1.2. Degrees of Freedom and Indeterminacy......Page 14
1.3. Statically Indeterminate Structures-Direct Stiffness Method......Page 17
1.4. Member Stiffness Matrix......Page 20
1.5. Coordinates Transformation......Page 22
1.6. Member Stiffness Matrix in Global Coordinate System......Page 24
1.7. Assembly of Structure Stiffness Matrix......Page 25
1.8. Load Vector......Page 29
1.9. Methods of Solution......Page 30
1.10. Calculation of Member Forces......Page 31
1.11. Treatment of Internal Loads......Page 38
1.12. Treatment of Pins......Page 43
1.13. Temperature Effects......Page 56
Problems......Page 61
Bibliography......Page 64
2.2. Elastic and Plastic Behavior of Steel......Page 66
2.3. Moment-Curvature Relationship in an Elastic-Plastic Range......Page 70
2.4. Plastic Hinge......Page 83
2.6. Comparison of Linear Elastic and Plastic Designs......Page 84
2.7. Limit States Design......Page 85
2.8. Overview of Design Codes for Plastic Design......Page 86
2.9. Limitations of Plastic Design Method......Page 87
Problems......Page 89
Bibliography......Page 91
3.1. General Elastoplastic Analysis of Structures......Page 92
3.2. Reduced Plastic Moment Capacity Due to Force Interaction......Page 94
3.3. Concept of Yield Surface......Page 98
3.4. Yield Surface and Plastic Flow Rule......Page 100
3.5. Derivation of General Elastoplastic Stiffness Matrices......Page 103
3.6. Elastoplastic Stiffness Matrices for Sections......Page 106
3.7. Stiffness Matrix and Elastoplastic Analysis......Page 110
3.8. Modified End Actions......Page 112
3.9. Linearized Yield Surface......Page 115
Problems......Page 116
Bibliography......Page 117
4.1. Introduction......Page 118
4.2. Use of Computers for Elastoplastic Analysis......Page 119
4.3. Use of Spreadsheet for Automated Analysis......Page 123
4.4. Calculation of Design Actions and Deflections......Page 127
4.5. Effect of Force Interaction on Plastic Collapse......Page 130
4.6. Plastic Hinge Unloading......Page 135
4.7. Distributed Loads in Elastoplastic Analysis......Page 137
Problems......Page 141
Bibliography......Page 148
5.2. Theorems of Plasticity......Page 150
5.3. Mechanism Method......Page 152
5.4. Statical Method......Page 153
5.5. Uniformly Distributed Loads (UDL)......Page 155
5.6. Continuous Beams and Frames......Page 158
5.7. Calculation of Member Forces at Collapse......Page 166
5.8. Effect of Axial Force on Plastic Collapse Load......Page 168
Problems......Page 170
Bibliography......Page 173
6.1. Introduction......Page 174
6.2. Limit Analysis Theorems as Constrained Optimization Problems......Page 175
6.3. Spreadsheet Solution of Simple Limit Analysis Problems......Page 177
6.4. General Description of the Discrete Plane Frame Problem......Page 186
6.5. A Simple MATLAB Implementation for Static Limit Analysis......Page 194
6.6. A Note on Optimal Plastic Design of Frames......Page 200
Bibliography......Page 204
7.2. Plastic Rotation Capacity......Page 206
7.3. Effect of Settlement......Page 211
7.4. Effect of High Temperature......Page 217
7.5. Second-Order Effects......Page 224
Problems......Page 226
Bibliography......Page 227
8.2. Serviceability Limit State Requirements......Page 230
8.3. Ultimate Limit State Requirements......Page 234
Bibliography......Page 242
Answers......Page 244
Index......Page 248
