2101-611 Department of Civil Engineering
Matrix Analysis of Structures Faculty of Engineering
Second Semester of 2013 Chulalongkorn University
1
Course Syllabus
1. Course number: 2101-611
2. Credit: 3
3. Course name: Matrix Analysis of Structures 4. Faculty/Department: Faculty of Engineering
Department of Civil Engineering
5. Semester: Second semester 6. Academic year: 2013
7. Instructors: Asst. Prof. Dr. Chatpan Chintanapakdee 8. Prerequisite: 2101-601
9. Course Status: Approved elective
10. Program Name: Master of Engineering or Ph.D.
11. Level: Graduate
12. Hours per week: 3 hours of lecture
13. Course content:
Basic structure of computer programs for matrix analysis of structures; planar and space truss;
planar and space frames; sub-structure method; non-prismatic member; analysis of 2-d and 3-d multi-story buildings; initial strain problems; simplified analysis to account for torsion of buildings; nonlinear analysis including geometric and material nonlinearity; application of SAP2000 or ETABS to analyze elastic and inelastic structures and checking of results.
14. Course description 14.1 Objective
Upon completing the course, students should fully understand the important concepts,
implementation, and applications of structural analysis using matrix formulation. They should be able to
apply the methods to analyze and ultimately develop the skills to understand behaviors of large and
complex structures.
2101-611 Department of Civil Engineering
Matrix Analysis of Structures Faculty of Engineering
Second Semester of 2013 Chulalongkorn University
2
14.2 Course outline:
Topic Hours
Part 1 (Linear analysis)
1. Introduction, objectives, course outlines 0.5
2. Structural models 1.5
3. Analysis of determinate planar and space truss 3 4. Analysis of indeterminate structures by flexibility methods
• Planar truss
• Beam
3 3 5. Analysis of indeterminate structures by displacement methods (classical
and direct stiffness methods)
• Planar truss
• Beam and frame
3 6 6. Analysis of 2-d and 3-d multi-story buildings
• General concept of analysis
• Members with rigid zones
• Shear wall members
• Frame-shear wall interaction
• sub-structure method
3
7. Initial strain problems (temperature change, lack of fit, support settlement)
1.5
8. Non-prismatic members 1.5
Part 2 (Nonlinear analysis)
1. Introduction to nonlinear structural analysis 1.5 2. Geometric nonlinearity
• Large displacements vs second order analysis
• Review of finite element formulation
• P–delta effects in truss and frames
3 4.5 4.5 3. Material nonlinearity
• Nonlinear material models
• Fiber model
• Distributed- versus Lumped-plasticity model. Plastic hinge model
• Nonlinear static analysis (pushover analysis)
1.5 1.5 1.5 1.5 4. Application of SAP2000 or ETBS to solve problems, checking of results 1.5
14.3 Teaching mode: Lecture
14.4 Media: Power point slides + Board 14.5 Evaluation:
Assignments = 20%
Midterm exam = 40%
Final exam = 40%
Total = 100%
15. References:
• McGuire, Gallagher, Ziemian, “Matrix Structural Analysis,” 2nd Edition, Wiley.
• Ghali, A., Neville, A.M., Structural Analysis – a Unified Classical and Matrix Approach, Second edition, Chapman and Hall, London, 1978.
• Sack, R.L., “Matrix Structural Analysis,” PWS-KENT, Boston, 1989.
• McCormac, J.C., Nelson, J.K., “Structural Analysis-A Classical and Matrix Approach,”
Second Edition, Addison-Wesley, 1996.
