### 2022　Matrix Methods of Structural Analysis

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Academic unit or major
Undergraduate major in Civil and Environmental Engineering
Instructor(s)
Wijeyewickrema Anil
Class Format
Lecture    (Face-to-face)
Media-enhanced courses
Day/Period(Room No.)
Thr7-8(M112)
Group
-
Course number
CVE.A311
Credits
1
Academic year
2022
Offered quarter
3Q
Syllabus updated
2022/5/11
Lecture notes updated
-
Language used
English
Access Index

### Course description and aims

The course is designed for students to advance from the analysis of statically determinate structures, elastic deflection of structures and analysis of statically indeterminate structures studied in Structural Mechanics I and Structural Mechanics II, to Matrix Methods of Structural Analysis.

Students learn the basics of matrix structural analysis and will also learn how to use a structural analysis software program.

### Student learning outcomes

By completing this course, students will be able to:
1) Understand flexibility-stiffness transformations.
2) Understand the framework element stiffness matrix.
3) Understand coordinate transformations.
4) Solve problems with loads between nodal points.

### Keywords

coordinate transformations, equivalent nodal loads, flexibility, stiffness,

### Competencies that will be developed

 ✔ Specialist skills Intercultural skills Communication skills ✔ Critical thinking skills ✔ Practical and/or problem-solving skills

### Class flow

A part of a class is devoted to fundamentals and the rest to applications. To allow students to have a good understanding of the course contents and practical applications, problems related to the contents of this course are given as homework assignments. Solutions to homework assignments are reviewed in the class.

### Course schedule/Required learning

Course schedule Required learning
Class 1 Stiffness analysis of frames – I – stress-strain relationships, work and energy, reciprocity Review sections 4.1-4.3 of textbook.
Class 2 Stiffness analysis of frames – I - Flexibility-stiffness transformations Review section 4.4 of textbook.
Class 3 Stiffness analysis of frames – I - Framework element stiffness matrix Review section 4.5 of textbook. Computer Assignment 01: Statically determinate truss.
Class 4 Stiffness analysis of frames – I - Framework element stiffness matrix Review section 4.5 of textbook.
Class 5 Stiffness analysis of frames – II - Coordinate transformations Review section 5.1 of textbook. Computer Assignment 02: Statically indeterminate truss.
Class 6 Stiffness analysis of frames – II - Coordinate transformations Review section 5.1 of textbook.
Class 7 Stiffness analysis of frames – II - Loads between nodal points Review section 5.2 of textbook. Computer Assignment 03: Statically indeterminate frame.
Class 8 Final Exam

### Out-of-Class Study Time (Preparation and Review)

To enhance effective learning, students are encouraged to spend approximately 100 minutes preparing for class and another 100 minutes reviewing class content afterwards (including assignments) for each class.
They should do so by referring to textbooks and other course material.

### Textbook(s)

McGuire, W., Gallagher, R. H. and Ziemian, 2000, Matrix Structural Analysis, 2nd edition, John Wiley, New York, USA.

### Reference books, course materials, etc.

Class notes are available in the Instructor’s HP.

Kassimali, A., 2012, Matrix Analysis of Structures, 2nd edition, Cengage Learning, Connecticut, USA.

### Assessment criteria and methods

Students' knowledge of matrix structural analysis and their ability to apply them to problems will be assessed.
Midterm exam 30%, Final exam 50%, exercise problems 20%.

### Related courses

• CVE.A202 ： Structural Mechanics I
• CVE.A301 ： Structural Mechanics II

### Prerequisites (i.e., required knowledge, skills, courses, etc.)

Structural Mechanics I, Structural Mechanics II