# CIVIL 719 : Matrix Structural Analysis

## Engineering

### Course Prescription

Direct stiffness method applied to linear, nonlinear and stability analyses. Introduction to variational principles and finite element method. Projects in practical modelling of major structures such as bridges and multi-storey buildings. Use of commercial software.

### Course Overview

This course covers the theoretical and mathematical foundation for current computer-based structural analysis. It is designed to assist future structural engineers and structural engineering researchers in understanding the limitations of their computer models, as well as pitfalls of using computer-based tools for structural analysis.

This course aims to provide:
1. An understanding of the principles of the Direct Stiffness Method for structural analysis, the basis of most structural and finite element analysis programs.
2. Experience in the application of a commercial structural analysis program (SAP2000) that implements the direct stiffness method, to a range of practical structures. An introduction to modelling techniques – overcoming some of the problems and pitfalls.
3. An introduction to the matrix formulation and solution of linear, nonlinear, stability and dynamic problems.

### Course Requirements

Restriction: CIVIL 416

### Capabilities Developed in this Course

 Capability 1: Disciplinary Knowledge and Practice Capability 2: Critical Thinking Capability 3: Solution Seeking Capability 4: Communication and Engagement Capability 5: Independence and Integrity

### Learning Outcomes

By the end of this course, students will be able to:
1. Demonstrate an understanding of and appraise discrete methods of analysis versus the classical continuum approach. (Capability 1.1, 2.1, 2.2, 3.1, 3.2 and 4.2)
2. Develop, apply and deconstruct the use of direct stiffness method as it is applied to the linear analysis of skeletal structures such as trusses and frames. (Capability 1.1, 2.1, 2.2, 3.1, 3.2 and 4.2)
3. Demonstrate and understand how to apply stationary principles to finite element analysis, including the general development of 2D elements and iso-parametric formulations. (Capability 1.1, 2.1, 2.2, 3.1, 3.2, 4.2 and 5.2)
4. Justify, plan and conduct Nonlinear and stability analysis, with consideration of sources of nonlinearity in structures and typical solution techniques in overcoming common nonlinear structural problems, such as, plastic collapse, calculation of critical loads and post-buckling behaviour. (Capability 1.1, 2.1, 2.2, 3.1, 3.2, 4.1, 4.2 and 5.2)
5. Demonstrate ability to conduct dynamic analysis of large structural systems using matrix methods. (Capability 1.1, 2.1, 2.2, 3.1, 3.2, 4.1, 4.2 and 5.2)

### Assessments

Assessment Type Percentage Classification
Final Exam 40% Individual Examination
Test 20% Individual Test
Assignments 20% Individual Coursework
Project 20% Individual Coursework
1 2 3 4 5
Final Exam
Test
Assignments
Project
Students must sit the exam to pass the course. Otherwise, a DNS (did not sit) result will be returned.

This course is a standard 15 point course and students are expected to spend 10 hours per week involved in each 15 point course that they are enrolled in.

For this course, you can expect 2 hours of lectures, an 1 hour tutorial, 3 hours of reading and thinking about the content and 4 hours of work on assignments and/or test preparation, on average per week.

### Delivery Mode

#### Campus Experience

This course is intended to be a Campus Experience course but allowances have been made for those unable to attend on campus due to the impact of COVID 19.

For those attending on campus:

Attendance is expected at scheduled activities including labs/tutorials to complete components of the course.

Lectures will be available as recordings. Other learning activities including tutorials will not be available as recordings.

The course may include live online events including group discussions.

The activities for the course are scheduled as a standard weekly timetable.

For those approved to study remotely due to the impact of COVID 19:

Attendance is expected at scheduled online activities including labs/tutorials to complete components of the course.

The course may include live online events including group discussions/tutorials/lectures and these will be recorded.

Where possible, study material will be released progressively throughout the course.

This course runs to the University semester timetable and all the associated completion dates and deadlines will apply.

### Learning Resources

Course materials are made available in a learning and collaboration tool called Canvas which also includes reading lists and lecture recordings (where available).

Please remember that the recording of any class on a personal device requires the permission of the instructor.

### Health & Safety

The course is based on desktop activities and no specific health and safety risks beyond this are expected.

Students are expected to adhere to the guidelines outlined in the Health and Safety section of the Engineering Undergraduate Handbook.

### Student Feedback

At the end of every semester students will be invited to give feedback on the course and teaching through a tool called SET or Qualtrics. The lecturers and course co-ordinators will consider all feedback and respond with summaries and actions.

Your feedback helps teachers to improve the course and its delivery for future students.

Class Representatives in each class can take feedback to the department and faculty staff-student consultative committees.

SET response rate not met in 2022. Informal communications with students had not highlighted any issues requiring course revision.

The University of Auckland will not tolerate cheating, or assisting others to cheat, and views cheating in coursework as a serious academic offence. The work that a student submits for grading must be the student's own work, reflecting their learning. Where work from other sources is used, it must be properly acknowledged and referenced. This requirement also applies to sources on the internet. A student's assessed work may be reviewed against online source material using computerised detection mechanisms.

### Inclusive Learning

All students are asked to discuss any impairment related requirements privately, face to face and/or in written form with the course coordinator, lecturer or tutor.

Student Disability Services also provides support for students with a wide range of impairments, both visible and invisible, to succeed and excel at the University. For more information and contact details, please visit the Student Disability Services’ website

### Special Circumstances

If your ability to complete assessed coursework is affected by illness or other personal circumstances outside of your control, contact a member of teaching staff as soon as possible before the assessment is due.

If your personal circumstances significantly affect your performance, or preparation, for an exam or eligible written test, refer to the University’s aegrotat or compassionate consideration page .

This should be done as soon as possible and no later than seven days after the affected test or exam date.

### Learning Continuity

In the event of an unexpected disruption, we undertake to maintain the continuity and standard of teaching and learning in all your courses throughout the year. If there are unexpected disruptions the University has contingency plans to ensure that access to your course continues and course assessment continues to meet the principles of the University’s assessment policy. Some adjustments may need to be made in emergencies. You will be kept fully informed by your course co-ordinator/director, and if disruption occurs you should refer to the university website for information about how to proceed.

### Student Charter and Responsibilities

The Student Charter assumes and acknowledges that students are active participants in the learning process and that they have responsibilities to the institution and the international community of scholars. The University expects that students will act at all times in a way that demonstrates respect for the rights of other students and staff so that the learning environment is both safe and productive. For further information visit Student Charter .

### Disclaimer

Elements of this outline may be subject to change. The latest information about the course will be available for enrolled students in Canvas.

In this course students may be asked to submit coursework assessments digitally. The University reserves the right to conduct scheduled tests and examinations for this course online or through the use of computers or other electronic devices. Where tests or examinations are conducted online remote invigilation arrangements may be used. In exceptional circumstances changes to elements of this course may be necessary at short notice. Students enrolled in this course will be informed of any such changes and the reasons for them, as soon as possible, through Canvas.

Published on 10/11/2022 08:07 p.m.