MECHENG 242 : Mechanics of Materials 1

Engineering

2024 Semester One (1243) (15 POINTS)

Course Prescription

Principles of elastic material behaviour in the design of load carrying elements. Statically determinate stress systems; stress–strain relations. Bending of beams: stress–moment and moment–curvature relations; beam deflections; buckling of struts. Shear in joints, couplings, beams and circular shafts. General analysis of plane stress. Introduction to failure criteria by yield and fracture.

Course Overview

The purpose of the course is to provide a foundation to the principles involved in the design of load carrying devices where the design criterion is either yielding or stiffness. The topics to be covered are as follows:

Introductory Concepts - Mechanics of single and multiple body devices. Internal loads and moments, stress and strain due to normal and shear forces.

Elastic Deformation, Single Stress States - Material properties from a tensile test: modulus of elasticity, Poisson’s ratio, shear modulus, and yield stress. Concepts of material failure.

Axial Loading of Bars -Determination of normal stress and strain under axial loading. Statically determinate and indeterminate problems.

Bending of Beams - Normal stress in beams due to pure bending. Beam deflection analyses. 

Simple Shear - Determination of shear stress due to simple loading.

Torsion of Circular Shafts - Shear stress and deformation in shafts under torsion. Basic assumptions of the shaft action under elastic deformations.

Shear in Beams - Analysis of shear stresses in bars and beams carrying transverse forces.

Combined Axial Stress States - Determination of axial and biaxial stress states due to simple combined loadings. Buckling of simple struts.

Elastic Deformation, Multiple Stress States - General Hookes Law. Analysis of 2D stress states, and failure under these conditions.

Analysis of Multiple Loading Situations - Consideration of multiple stress states arising from combined loading. Material failure under complex loading.

Course Requirements

Prerequisite: ENGGEN 121 or 150

Capabilities Developed in this Course

Capability 1: People and Place
Capability 2: Sustainability
Capability 3: Knowledge and Practice
Capability 4: Critical Thinking

Learning Outcomes

By the end of this course, students will be able to:
  1. Analyse external and internal forces on an object and calculate stress and strain due to simple axial and shear loading. (Capability 3.1, 3.2 and 4.1)
  2. Describe the basic behaviour of ductile and brittle materials, and the material properties that define this behaviour. (Capability 3.1 and 4.1)
  3. Analyse resulting stresses and deformation caused by uniaxial loading of objects in both statically determinate and indeterminate situations (Capability 3.1 and 4.1)
  4. Analyse resulting normal stress distributions, and deformation caused by bending of bars and beams and the buckling of simple struts. (Capability 3.1 and 4.1)
  5. Analyse resulting shear stress distributions caused by bending and torsion of bars and beams (Capability 3.1 and 4.1)
  6. Understand and apply the origins of safety factors when designing load bearing structures and what influences the choice of safety factor. Appreciate the importance of standardisation in testing of material properties in the context of quality assurance. (Capability 1.1 and 3.2)
  7. Analyse biaxial stresses occurring in thin-walled pressure vessels. (Capability 3.1 and 4.1)
  8. Analyse elastic behavior of material under multi-axial loading, and will be able to analyse situations using the generalized Hookes Law. (Capability 3.1 and 4.1)
  9. Analyse simple structures undergoing combinations of simple loading types. They will be able to calculate stresses and determine deformation and material failure. (Capability 3.1 and 4.1)
  10. Use the principles of materials selection when analysing structures and loads to make informed choices when deciding on materials used in the context of cost, performance and embedded energy. (Capability 2.1, 3.1 and 4.1)

Assessments

Assessment Type Percentage Classification
Laboratories 15% Individual Coursework
Final Exam 50% Individual Examination
Test 20% Individual Test
Quizzes 15% Individual Coursework
Assessment Type Learning Outcome Addressed
1 2 3 4 5 6 7 8 9 10
Laboratories
Final Exam
Test
Quizzes

Students must sit the exam to pass the course. Otherwise, a DNS (did not sit) fail grade will be returned.

Workload Expectations

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 each week in this course, you can expect 3 hours of lectures, a 1 hour tutorial, 3 hours of reading and thinking about the content and 3 hours of work on assignments and/or test preparation per week.

Delivery Mode

Campus Experience

Attendance is required at scheduled activities including labs to receive credit for components of the course.
Lectures will be available as recordings. Other learning activities including tutorials and labs will not be available as recordings.
Attendance on campus is required for tests.
The activities for the course are scheduled as a standard weekly timetable.

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

Attendance of laboratories requires an online induction into the laboratory space beforehand. The laboratories are supervised and a risk assessment is provided.  All instruction given with regards to safe operation of equipment and general laboratory practice should be followed.

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.

Based upon generally favourable feedback from the student SET survey of the 2023 course, further refinements will be made to the course laboratory activities and assignments.

Academic Integrity

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 for potential plagiarism or other forms of academic misconduct, using computerised detection mechanisms.

Class Representatives

Class representatives are students tasked with representing student issues to departments, faculties, and the wider university. If you have a complaint about this course, please contact your class rep who will know how to raise it in the right channels. See your departmental noticeboard for contact details for your class reps.

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 http://disability.auckland.ac.nz

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 https://www.auckland.ac.nz/en/students/academic-information/exams-and-final-results/during-exams/aegrotat-and-compassionate-consideration.html.

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 https://www.auckland.ac.nz/en/students/forms-policies-and-guidelines/student-policies-and-guidelines/student-charter.html.

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.