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1
Solving Complex Problems for
Structures and Bridges
using ABAQUS Finite Element Package
Farzad Hejazi
Hojjat Mohammadi Esfahani
2
Table of Contents
Chapter 1: Introduction about Finite Element Method ............................................................. 22
1.1. Introduction .................................................................................................................... 22
1.2. Main Process for Finite Element Modeling and Analysis ............................................. 23
1.2.1. Step 1: Idealization ................................................................................................. 23
1.2.2. Step 2: Discretization .............................................................................................. 23
1.2.3. Step 3: Element Characteristics .............................................................................. 25
1.2.4. Step 4: Assembly of Finite Element Equations ...................................................... 26
1.2.5. Step 5: Apply Boundary Condition......................................................................... 26
1.2.6. Step 6: Solving the Finite Element Equations ........................................................ 28
1.2.7. Step 7: Additional Calculations .............................................................................. 28
1.3. Summary ........................................................................................................................ 29
Chapter 2: Abaqus Scripting for Mesh Convergence ............................................................... 31
2.1. Introduction .................................................................................................................... 31
2.2. Problem description........................................................................................................ 32
2.3. Objectives ....................................................................................................................... 32
2.4. Modeling ........................................................................................................................ 33
2.4.1. Parts Module ........................................................................................................... 33
2.4.2. Assembly Module ................................................................................................... 37
2.4.3. Step Module ............................................................................................................ 38
2.4.4. Boundary Conditions (Load Module) ..................................................................... 39
3
2.4.5. Load Module ........................................................................................................... 40
2.4.6. Mesh Module .......................................................................................................... 41
2.5. Analysis: Job Module ..................................................................................................... 46
Chapter 3: Analysis of Steel Rectangular Plate with Circular Hole ......................................... 65
3.1. Introduction .................................................................................................................... 65
3.2. Problem Description ....................................................................................................... 65
3.3. Objectives ....................................................................................................................... 66
3.4. Modeling ........................................................................................................................ 66
3.4.2. Property Module ..................................................................................................... 72
3.4.3. Mesh Module .......................................................................................................... 77
3.4.4. Assembly Module ................................................................................................... 82
3.4.5. Step Module ............................................................................................................ 83
3.4.6. Load/Boundary Condition Module ......................................................................... 86
3.5. Analysis: Job Module ..................................................................................................... 93
3.5.1. Create an analysis job:"Job-1" ................................................................................ 93
3.5.2. Monitor solution in progress ................................................................................... 96
3.6. Visualization Module ..................................................................................................... 96
3.6.1. View the results of the analysis .............................................................................. 96
3.6.2. Visualization/Results Module ................................................................................. 97
Chapter 4: Evaluate the Capacity of the Steel Beam-Column Connection through Pushover
Analysis 105
4.1. Introduction .................................................................................................................. 105
4
4.2. Problem Description ..................................................................................................... 105
4.2.1. Geometric Properties ............................................................................................ 106
4.2.2. Material Properties ................................................................................................ 107
4.3. Objectives ..................................................................................................................... 107
4.4. Modeling ...................................................................................................................... 108
4.4.1. Part Module ........................................................................................................... 108
4.4.2. Property Module ................................................................................................... 116
4.4.3. Assembly Module ................................................................................................. 123
4.4.4. Step Module .......................................................................................................... 126
4.4.5. Interactions Module .............................................................................................. 133
4.4.6. Boundary Condition .............................................................................................. 138
4.4.7. Loading Module .................................................................................................... 142
4.4.8. Mesh Module ........................................................................................................ 148
4.5. Analysis: Job Module ................................................................................................... 155
4.5.1. Create an analysis job: "Job-1" ............................................................................. 155
4.5.2. Monitor solution in progress ................................................................................. 158
4.6. Visualization Module ................................................................................................... 159
4.6.1. View the results of the analysis ............................................................................ 159
4.7. Results and Discussion ................................................................................................. 161
4.7.1. Case 1 .................................................................................................................... 161
5
4.7.2. Case 2 .................................................................................................................... 165
4.8. Conclusion .................................................................................................................... 168
Chapter 5: Strengthening of the R.C Beam using CFRP Rods and Concrete Jacketing ... Error!
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5.4.3. Assembly Module .................................................... Error! Bookmark not defined.
5.4.4. Step Module ............................................................. Error! Bookmark not defined.
5.4.5. Interaction Module ................................................... Error! Bookmark not defined.
5.4.6. Load/Boundary Condition Module .......................... Error! Bookmark not defined.
5.4.7. Mesh Module ........................................................... Error! Bookmark not defined.
5.5. Optimization Module ...................................................... Error! Bookmark not defined.
5.6. Analysis: Job Module ...................................................... Error! Bookmark not defined.
5.7. Visualization Module ...................................................... Error! Bookmark not defined.
5.8. Analysis Result ................................................................ Error! Bookmark not defined.
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