CE445/545 - Matrix Analysis of Structures
Syllabus for CE445/545
Text: Matrix Structural Analysis, 2nd ed. by McGuire, Gallagher & Ziemian
Details of class organization and Engineering Outreach and Contact Information (Dr. Nielsen's Homepage)
| Class | Date | Topic | Reading | Assignment |
| 1 | Jan 11 | Introduction - Review of Structures Links for the class notes are available through Blackboard |
1.1-1.2 |  |
| 2 | Jan 13 | Degrees of Freedom & Coordinate Systems | 2.1-2.3, 13.1 | |
| Jan 16 | Human Rights Day | |||
| 3 | Jan 18 | Axial Force Elements, Matrix Condensation, Matrix Condensation Example | 2.4 | 2.5 (Submit assignments through Blackboard) |
| 4 | Jan 20 | Axial Force Elements - Global Equations | 2.5-2.6 | 2.6 |
| 5 | Jan 23 | Direct Stiffness Method | 3.1 | 2.12, 14 - These problems don't require matrix
methods, but they do illustrate flexibility and stiffness
concepts. Think about which approach is best for each problem. |
| 6 | Jan 25 |
Mathcad Background - 2 member truss |
3.2-3.4 | |
| 7 | Jan 27 | Stress & Strain - Work & Energy | 4.1-4.4 | |
| 8 | Jan 30 | Axial Force & Torsional Elements | 4.5.1-4.5.2 | 3.3, (you can use MASTAN2, RISA, SAP, etc. to analyze the truss) 4*, 7* (*Provide "manual" solution, w/o Mastan2, RISA, etc.) |
| 9 | Feb 1 | Beam Elements | 4.5.3-4.5.5 | |
| 10 | Feb 3 | Frame-Truss Example | ||
| 11 | Feb 6 | 3D Coordinate Transformations | 4.6, 5.1.1 | 3.15 (the "computer program" may be MASTAN, RISA, SAP, etc.), [4.1b-e]*, 6* (*Provide a "manual" solution) |
| 12 | Feb 8 | Coord. Transformation, Space Truss | 5.1.2-5.1.4 | |
| 13 | Feb 10 | Non-nodal Loads | 5.2 | |
| 14 | Feb 13 | Non Nodal Loads Example, Addtional Fixed-End Actions | 5.3 | |
| 15 | Feb 15 | Member End Releases - Hinge Example | ||
| 16 | Feb 17 | Virtual Displacements | 6.1-6.5 | 4. 10*, 14, 16*, 5.3* (*Provide a "manual" solution) |
| Feb 20 | Presidents' Day | |||
| 17 | Feb 22 | EXAM #1 | ||
| 18 | Feb 24 | Displaced State of Elements - Shape Functions | 7.1 | |
| 19 | Feb 27 | Element Stiffness from Virtual Displacements | 7.2 | 5.8a, b, f* (include axial deformations), 10a, b*, 13* (*Provide a "manual" solution) |
| 20 | Feb 29 | Stiffness Matrices from Virtual Work | ||
| 21 | Mar 2 | Nonuniform Elements, Tapered Element Example, Tapered Element/Log Shape Function | 7.3 | |
| 22 | Mar 5 | Non-nodal Forces from Virtual Displacements, Background | 7.5 |
|
| 23 | Mar 7 | Thermal & Prestrain Loads by Virtual Work | 7.6 | 7.1, 6 |
| 24 | Mar 9 | Shear Deformations, Shear Deformation Example | 8.1.1-8.1.2 | Project Assignment |
| Mar 12-16 | Spring Break | |||
| 25 | Mar 19 | Nonlinear Analysis | 8.1.3 | 7.12, 19 |
| 26 | Mar 21 | Nonlinear Examples | 8.1.4 | |
| 27 | Mar 23 | Plastic Hinge Example | 8.2-8.3 | |
| 28 | Mar 26 | EXAM #2 | Presentation Topic Proposal | |
| 29 | Mar 28 | Matrix Non-linear Analysis | 9.1 | 8.1, 4 |
| 30 | Mar 30 | Geometric Stiffness Matrices for 2D | 9.2 | |
| 31 | Apr 2 | Geometric Stiffness Matrix Example 1 | 9.3 | 8.6, 8 |
| 32 | Apr 4 | Example 2 | 9.4 | |
| 33 | Apr 6 | Nonlinear Material Behavior | 10.1 | Presentation Outline |
| 34 | Apr 9 | Nonlinear Material Example, Postscript | 10.2 | 9.5, 9.10 (both can be done with MASTAN2) |
| 35 | Apr 11 | Eigenvalue Buckling Analysis | 10.3 | |
| 36 | Apr 13 | Eigenvalue Buckling Examples | 10.4 | |
| 37 | Apr 16 | Partially Restrained Joints | 13.1-13.2 | |
| 38 | Apr 18 | Member End Offsets | 13.3 | Presentation Progress Report |
| 39 | Apr 20 | Restraint/Offset Example | 13.5 | 10.12, 9.2 (both can be done with MASTAN2) |
| 40 | Apr 23 | Structural Optimization | ||
| 41 | Apr 25 | Structural Optimization | ||
| 42 | Apr 27 | Nonuniform Torsion | 7.4 | |
| 43 | Apr 30 | Nonuniform Torsion | 13.20, 23 | |
| 44 | May 2 | Uniform Torsion, 8-Element Nonuniform Torsion | ||
| 45 | May 4 | Presentations | ||
| 49 | May 10 | EXAM #3 |
The reading assignments should be completed before each lecture.
The homework problems are due on the dates shown.