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 9 | Introduction - Review of Structures | 1.1-1.2 |  |
| 2 | Jan 11 | Degrees of Freedom & Coordinate Systems, Matrix Condensation, Matrix Condensation Example, PDF Right-click on the Mathcad link, save the Mathcad file to your computer, then open it with Mathcad. (Internet Explorer will offer to change the file type to ".XML" instead of ".xmcd". Insist on the ".xmcd" file type.) | 2.1-2.3, 13.1 | |
| 3 | Jan 14 | Axial Force Elements | 2.4 | 2.5, 6 |
| 4 | Jan 16 | Axial Force Elements - Global Equations | 2.5-2.6 | |
| 5 | Jan 18 | Direct Stiffness Method | 3.1 | 2.12, 14 |
| Jan 21 | Human Rights Day | |||
| 6 | Jan 23 | 3.2-3.4 | ||
| 7 | Jan 25 | Stress & Strain - Work & Energy | 4.1-4.4 | |
| 8 | Jan 28 | Axial Force & Torsional Elements | 4.5.1-4.5.2 | 3.3, (you can use MASTAN, RISA, SAP, etc. to analyze the truss) 4*, 7* (*Provide "manual" solution, w/o Mastan2, RISA, etc.) |
| 9 | Jan 30 | Beam Elements | 4.5.3-4.5.5 | |
| 10 | Feb 1 | Frame-Truss Example (PDF) | ||
| 11 | Feb 4 | 3D Coordinate Transformations | 4.6, 5.1.1 | 3.15 (the "computer program" may be MASTAN, RISA, SAP, etc.), [4.1a-e]*, 6* (*Provide a "manual" solution) |
| 12 | Feb 6 | Coord. Transformation (PDF) Space Truss (PDF) | 5.1.2-5.1.4 | |
| 13 | Feb 8 | Non-nodal Loads | 5.2 | |
| 14 | Feb 11 | Non Nodal Loads Example, PDF,Addtional Fixed-End Actions | 5.3 | |
| 15 | Feb 13 | Member End Releases - Hinge Example, PDF | ||
| 16 | Feb 15 | Virtual Displacements | 6.1-6.5 | 4. 10*, 14, 16*, 5.3* (*Provide a "manual" solution) |
| Feb 18 | Presidents' Day | |||
| 17 | Feb 20 | EXAM #1 | old exam | |
| 18 | Feb 22 | Displaced State of Elements | 7.1 | |
| 19 | Feb 25 | Element Stiffness from Virtual Displacements | 7.2 | 5.8a, b, f* (include axial deformations), 10a, b*, 13* (*Provide a "manual" solution) |
| 20 | Feb 27 | Stiffness Matrices from Virtual Work | ||
| 21 | Feb 29 | Nonuniform Elements, Tapered Element Example, PDF, Tapered Element/Log Shape Function, PDF | 7.3 | |
| 22 | Mar 3 | Nonuniform Torsion | 7.4 |
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| 23 | Mar 5 | Nonuniform Torsion (PDF) Uniform Torsion (PDF) 8-Element Nonuniform Torsion (PDF) | 7.1, 6 | |
| 24 | Mar 7 | Non-nodal Forces from Virtual Displacements, Background (PDF) | 7.5 | Project Assignment |
| Mar 10-14 | Spring Break | |||
| 25 | Mar 17 | Thermal & Prestrain Loads by Virtual Work | 7.6 | |
| 26 | Mar 19 | Shear Deformations Shear Deformation Example (PDF) | 8.1.1-8.1.2 | 7.12, 13, 19 |
| 27 | Mar 21 | Nonlinear Analysis | 8.1.3 | |
| 28 | Mar 24 | Nonlinear Examples | 8.1.4 | Presentation Topic Proposal |
| 29 | Mar 26 | Plastic Hinge Example (PDF with figures) | 8.2-8.3 | |
| 30 | Mar 28 | EXAM #2 - Old Exam | ||
| 31 | Mar 31 | Matrix Non-linear Analysis | 9.1 | 8.1, 4 |
| 32 | Apr 2 | Geometric Stiffness Matrices for 2D | 9.2 | |
| 33 | Apr 4 | Geometric Stiffness Matrix Example 1 (PDF - long) | 9.3 | Presentation Outline |
| 34 | Apr 7 | Example 2 (PDF - long) | 9.4 | 8.6, 8 |
| 35 | Apr 9 | Nonlinear Material Behavior | 10.1 | |
| 36 | Apr 11 | Nonlinear Material Example (PDF) Postscript | 10.2 | |
| 37 | Apr 14 | Eigenvalue Buckling Analysis | 10.3 | 9.5, 9.10 (both can be done with MASTAN2) |
| 38 | Apr 16 | Eigenvalue Buckling Examples (PDF) | 10.4 | Presentation Progress Report |
| 39 | Apr 18 | Partially Restrained Joints | 13.1-13.2 | |
| 40 | Apr 21 | Member End Offsets | 13.3 | 10.12, 9.2 (both can be done with MASTAN2) |
| 41 | Apr 23 | Restraint/Offset Example (PDF) | 13.5 | |
| 42 | Apr 25 | Structural Optimization | ||
| 43 | Apr 28 | Structural Optimization | 13.20, 23 | |
| 44 | Apr 30 | Presentations | ||
| 45 | May 2 | Presentations | ||
| 45 | May 7 | 12:30 P.M. -EXAM #3 |
The reading assignments should be completed before each lecture.
The homework problems are due on the dates shown.