| Preface | |
1 | Introduction | |
1.1 | Structural Analysis in Perspective | 1 |
1.2 | The Computer Revolution | 3 |
2 | Fundamentals of Structural Behaviour | 6 |
2.1 | Introduction | 6 |
2.2 | Definition of a Structure | 6 |
2.3 | Stable and Unstable Structures | 6 |
2.4 | The Need to Idealise | 7 |
2.5 | Idealisation of the Structural Loading | 8 |
2.6 | Idealisation Within the Structure | 10 |
2.7 | Idealisation at the Structural Boundaries | 12 |
2.8 | Equilibrium | 14 |
2.9 | Deformation of Structures | 22 |
2.10 | Statically Indeterminate Structures | 24 |
2.11 | Superposition | 28 |
2.12 | Simple Beam Behaviour | 29 |
2.13 | Virtual Work | 34 |
3 | Introduction to the Stiffness Method | 38 |
3.1 | Classification of Framed Structures | 38 |
3.2 | Degree of Freedom | 39 |
3.3 | Matrix Methods of Structural Analysis | 43 |
3.4 | Stiffness Coefficients | 45 |
3.5 | Direct Application of the Stiffness Method | 49 |
3.6 | Axes Systems | 56 |
3.7 | Properties of the Structure Stiffness Matrix | 58 |
3.8 | Transformation of Force and Displacement | 62 |
4 | Simultaneous Linear Equations | 67 |
4.1 | Introduction | 67 |
4.2 | Gauss-Jordan Elimination - Program GAUSSJ.BAS | 68 |
4.3 | Multiple Right-hand Sides | 72 |
4.4 | Gauss Elimination - Program GAUSS.BAS | 74 |
4.5 | Triangular Decomposition - Program UDU.BAS | 80 |
4.6 | Matrix Inversion Using Gauss-Jordan Elimination | 88 |
4.7 | Ill-conditioned Equations - Program INVERT. BAS | 91 |
5 | Plane Trusses | 101 |
5.1 | Introduction | 101 |
5.2 | The Element Stiffness Matrix in Element Axes | 102 |
5.3 | Transformation of Force and Displacement | 103 |
5.4 | The Element Stiffness Matrix in Global Axes | 106 |
5.5 | Nodal Equilibrium | 108 |
5.6 | The Initial Structure Stiffness Matrix | 110 |
5.7 | Application of the Boundary Conditions | 122 |
5.8 | The Final Structure Stiffness Matrix | 126 |
5.9 | Element End Forces and Reactions | 134 |
5.10 | Putting it All Together - Program PTRUSS.BAS | 139 |
5.11 | A Data Preprocessor - Program PRE.BAS | 152 |
5.12 | A data checking program - DCHECK.BAS | 181 |
6 | Space Trusses | 197 |
6.1 | Introduction | 197 |
6.2 | The Element Stiffness Matrix in Element Axes | 197 |
6.3 | Transformation of Force and Displacement | 198 |
6.4 | The Element Stiffness Matrix in Global Axes | 199 |
6.5 | The Structure Stiffness Matrix | 201 |
6.6 | Element End Forces and Reactions | 204 |
6.7 | Space Truss Program - STRUSS.BAS | 205 |
7 | Plane Frames | 218 |
7.1 | Introduction | 218 |
7.2 | The Element Stiffness Matrix in Element Axes | 218 |
7.3 | Transformation of Force and Displacement | 220 |
7.4 | The Element Stiffness Matrix in Global Axes | 223 |
7.5 | Nodal Equilibrium | 225 |
7.6 | The Initial Structure Stiffness Matrix | 227 |
7.7 | Application of the Boundary Conditions | 238 |
7.8 | The Final Structure Stiffness Matrix | 240 |
7.9 | Element End Forces and Reactions | 247 |
8 | Plane Frames - Further Topics | 254 |
8.1 | Introduction | 254 |
8.2 | Element Loads, Temperature, Settlement, and Lack of Fit | 254 |
8.3 | Local Axes | 277 |
8.4 | Elastic Supports | 285 |
8.5 | Elements with Pins | 290 |
8.6 | Non-prismatic Elements | 306 |
8.7 | Putting Some of it Together - Program PFRAME.BAS | 308 |
9 | Grillages | 326 |
9.1 | Introduction | 326 |
9.2 | The Element Stiffness Matrix in Element Axes | 327 |
9.3 | Transformation of Force and Displacement | 328 |
9.4 | The Solution Algorithm | 330 |
9.5 | Element End Forces and Reactions | 335 |
9.6 | Grillage Program - GRID.BAS | 336 |
10 | Space Frames | 352 |
10.1 | Introduction | 352 |
10.2 | The Element Stiffness Matrix in Element Axes | 352 |
10.3 | Transformation of Force and Displacement | 354 |
10.4 | The Element Stiffness Matrix in Global Axes System | 358 |
10.5 |
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Computer analysis of structural frameworks, Structural analysis is conducted during the preliminary design of civil structures, such as bridges airplanes, to ensure their feasibility. Once the outline design is complete, the structure is analyzed in detail to assess its strength and stiffness. This, Computer analysis of structural frameworks to the inventory that you are selling on WonderClub
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Computer analysis of structural frameworks, Structural analysis is conducted during the preliminary design of civil structures, such as bridges airplanes, to ensure their feasibility. Once the outline design is complete, the structure is analyzed in detail to assess its strength and stiffness. This, Computer analysis of structural frameworks to your collection on WonderClub
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