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Description of Individual Course Units| Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | | İM131 | Matrix Methods in the Solution of Building Systems | Elective | 1 | 1 | 6 |
| | Level of Course Unit | | Second Cycle | | Objectives of the Course | | It is to obtain the structural behavior of structures with different carrier systems under various external effects by using Matrix Methods. | | Name of Lecturer(s) | | Dr. Öğr. Üyesi Mustafa ERGÜN | | Learning Outcomes | | 1 | Students gain awareness of application steps and basic concepts of matrix methods. | | 2 | Students will be able to analyze various two-dimensional structural systems using matrix methods. | | 3 | Students will be able to analyze various three-dimensional structural systems using matrix methods. | | 4 | Students can construct stiffness matrices of finite elements in different geometries and analyze various systems using them. |
| | Mode of Delivery | | Normal Education | | Prerequisites and co-requisities | | None | | Recommended Optional Programme Components | | None | | Course Contents | | Introduction to Matrix Methods. Fundamentals of structural idealization, axes, end forces, end displacements, stiffness, and transformation matrices.
Obtaining the structural behavior of structures with different carrier systems under various external effects by Matrix Methods. Creating stiffness matrices of finite elements in different geometries and analyzing various systems using them. | | Weekly Detailed Course Contents | |
| 1 | Introduction, General Information, Structural Idealization | | | | 2 | Axis Sets, End Forces, End Displacements, Stiffness, and Transformation Matrices | | | | 3 | Analysis of Elastic Spring Systems by Matrix Method | | | | 4 | Analysis of Planar Truss Systems by Matrix Method | | | | 5 | Analysis of Planar Frame Systems by Matrix Method | | | | 6 | Analysis of Spatial Truss Systems by Matrix Method | | | | 7 | Analysis of Grid Systems by Matrix Method | | | | 8 | Mid-Term Exam | | | | 9 | Analysis of Systems with Inclined Roller Support and Hinges by Matrix Method | | | | 10 | Analysis of Spatial Frame Systems by Matrix Method | | | | 11 | Analysis of Symmetrical Systems by Matrix Method | | | | 12 | Analysis of Systems Subjected to Support Movement by Matrix Method | | | | 13 | Analysis of Systems Exposed to Uniform and Different Temperature Changes by Matrix Method | | | | 14 | Analysis of Continuums by Matrix Method (Triangular Finite Elements) | | | | 15 | Analysis of Continuums by Matrix Method (Quadrilateral Finite Elements) | | | | 16 | Final exam | | |
| | Recommended or Required Reading | | 1- McGuire, W., Richard Gallagher, R.H. and Ziemian, R.D. (2015), Matrix Structural Analysis, 2nd Edition, CreateSpace Independent Publishing Platform, Boston, Massachusetts, ABD.
2- Aslam Kassimali, A. (2021), Matrix Analysis of Structures, 3rd Edition, Cengage Learning, Boston, Massachusetts, ABD.
3- Przemieniecki, J.S. (2012), Theory of Matrix Structural Analysis (Dover Civil and Mechanical Engineering), Revised Edition, Dover Publications, Mineola, New York, ABD.
4- Paz, M. (2009), Matrix Structural Analysis and Dynamics: Theory and Computation, Computers and Structures Inc., Walnut Creek, California, ABD. | | Planned Learning Activities and Teaching Methods | | | Assessment Methods and Criteria | |
| Midterm Examination | 1 | 100 | | SUM | 100 | |
| Project Design/Management | 5 | 100 | | SUM | 100 | | Term (or Year) Learning Activities | 30 | | End Of Term (or Year) Learning Activities | 70 | | SUM | 100 |
| | Language of Instruction | | Turkish | | Work Placement(s) | | None |
| | Workload Calculation | |
| Midterm Examination | 1 | 1 | 1 | | Final Examination | 1 | 2 | 2 | | Attending Lectures | 14 | 3 | 42 | | Self Study | 11 | 1 | 11 | | Individual Study for Homework Problems | 8 | 1 | 8 | | Individual Study for Mid term Examination | 7 | 4 | 28 | | Individual Study for Final Examination | 14 | 4 | 56 | | Homework | 8 | 4 | 32 | |
| Contribution of Learning Outcomes to Programme Outcomes | | LO1 | 5 | 4 | 3 | 5 | 1 | 3 | 3 | 5 | 5 | 5 | 3 | 2 | | LO2 | 5 | 4 | 3 | 5 | 1 | 3 | 3 | 5 | 5 | 5 | 3 | 2 | | LO3 | 5 | 4 | 3 | 5 | 1 | 3 | 3 | 5 | 5 | 5 | 3 | 2 | | LO4 | 5 | 4 | 3 | 5 | 1 | 3 | 3 | 5 | 5 | 5 | 3 | 2 |
| | * Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
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