Finite element analysis and design of metal structures

Traditionally, engineers have used laboratory testing to investigate the behavior of metal structures and systems. These numerical models must be carefully developed, calibrated and validated against the available physical test results. They are commonly complex and very expensive. From concept to assembly, Finite Element Analysis and Design of Metal Structures provides civil and structural engineers with the concepts and procedures needed to build accurate numerical models without using expensive laboratory testing methods. Professionals and researchers will find Finite Element Analysis and Design of Metal Structures a valuable guide to finite elements in terms of its applications.

1 Introduction	p. 1
1.1 General Remarks	p. 1
1.2 Types of Metal Structures	p. 3
1.3 Experimental Investigations and Its Role for Finite Element Modeling	p. 7
1.4 Finite Element Modeling of Metal Structures	p. 9
1.5 Current Design Codes	p. 11
References	p. 13
2 Review of the General Steps of Finite Element Analysis	p. 15
2.1 General Remarks	p. 15
2.2 Dividing and Selection of Element Types for Metal Structures	p. 17
2.3 Selection of a Displacement Function	p. 23
2.4 Definition of the Strain-Displacement and Stress-Strain Relationships	p. 23
2.5 Derivation of the Element Stiffness Matrix and Equations	p. 24
2.6 Assemblage of Element Equations	p. 24
2.7 Solving the Assembled Equations for the Unknowns	p. 25
References	p. 30
3 Finite Element Modeling	p. 31
3.1 General Remarks	p. 31
3.2 Choice of Element Type for Metal Structures	p. 32
3.3 Choice of Finite Element Mesh for Metal Structures	p. 40
3.4 Material Modeling	p. 43
3.5 Modeling of Initial Imperfections	p. 46
3.6 Modeling of Residual Stresses	p. 48
3.7 Load Application	p. 52
3.8 Boundary Conditions	p. 53
References	p. 54
4 Linear and Nonlinear Finite Element Analyses	p. 56
4.1 General Remarks	p. 56
4.2 Analysis Procedures	p. 58
4.3 Linear Eigenvalue Buckling Analysis	p. 62
4.4 Materially Nonlinear Analysis	p. 65
4.5 Geometrically Nonlinear Analysis	p. 67
4.6 Riks Method	p. 68
References	p. 71
5 Examples of Finite Element Models of Metal Columns	p. 72
5.1 General Remarks	p. 72
5.2 Previous Work	p. 73
5.3 Finite Element Modeling and Example 1	p. 80
5.4 Finite Element Modeling and Example 2	p. 86
5.5 Finite Element Modeling and Example 3	p. 90
5.6 Finite Element Modeling and Example 4	p. 100
References	p. 112
6 Examples of Finite Element Models of Metal Beams	p. 115
6.1 General Remarks	p. 115
6.2 Previous Work	p. 116
6.3 Finite Element Modeling and Results of Example 1	p. 126
6.4 Finite Element Modeling and Results of Example 2	p. 130
6.5 Finite Element Modeling and Results of Example 3	p. 135
References	p. 148
7 Examples of Finite Element Models of Metal Tubular Connections	p. 151
7.1 General Remarks	p. 151
7.2 Previous Work	p. 154
7.3 Experimental Investigations of Metal Tubular Connections	p. 160
7.4 Finite Element Modeling of Metal Tubular Connections	p. 171
7.5 Verification of Finite Element Models	p. 175
7.6 Summary	p. 179
References	p. 180
8 Design Examples of Metal Tubular Connections	p. 182
8.1 General Remarks	p. 182
8.2 Parametric Study of Metal Tubular Connections	p. 183
8.3 Design Rules of Metal Tubular Connections	p. 185
8.4 Comparison of Experimental and Numerical Results with Design Calculations	p. 189
8.5 Design Examples	p. 190
8.6 Summary	p. 204
References	p. 205
Index	p. 207

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