Mechanics of Materials 2
Semester 1, 2019
Staff
Teaching schedule
Three lectures held per week, and one clinic. At the clinic, the focus is on working through examples.
Lectures: Tuesdays, Wednesdays, Thursdays, 9am, Human Sciences North, 201N-352
Clinic: Fridays, 11am, Human Sciences North, 201N-352
Calendar notes
States of stress and strain at a point in a general three-dimensional stress system, failure theories for ductile materials, elementary plasticity. Generalised stress – strain relations for linearly elastic isotropic materials. Axisymmetric stress systems: thick walled pressure cylinders, spheres and rotating discs. Advanced topics in bending of beams. Failure theories for brittle materials. Fatigue in ductile materials.
Prerequisite: MECHENG 242Restriction: MECHENG 341
-Bending of Beams (6 lectures)
Beams made of dissimilar materials. Asymmetrical or skew bending. Thin-walled open sections and shear centre.
-Mechanics of Materials (9 lectures)
States of stress and strain at a point; analysis of stress under conditions of plane stress and plane strain; strain rosettes; generalised stress-strain relationships for linearly elastic and isotropic materials.
-Theories of Yield and Axisymmetric Systems (9 lectures)
Theories of yield. Characterisation of post yield properties for isotropic metals under uniaxial tension.
Stresses and strains in axisymmetric systems, including thick-walled pressure cylinders. Initial yield and plastic collapse in pressure vessels, Rotating discs.
-Fracture in Brittle Materials (6 lectures)
Failure mechanisms in brittle materials. Introduction to linear elastic fracture mechanics; fracture toughness. Crack growth under repeated or cyclic loading.
-Fatigue in Ductile Materials (6 lectures)
High cycle fatigue. Fatigue under multiaxial stress. Cumulative damage. Low cycle fatigue.
Intended learning outcomes |
Related graduate attributes |
Related assessments |
|---|---|---|
Mechanics of Materials: The student will be able to analyse three-dimensional states of stress and strain at a point, applying generalised stress-strain relationships for linearly elastic and isotropic materials. They will be able to analyse conditions of plane stress and plane strain for two-dimensional situations. They will be able to calculate principal stresses or principal strains for given loading conditions, and understand the application of strain rosettes for strain measurement. |
ENGA01: engineering knowledge (5) ENGA02: problem analysis (4) ENGA04: investigation (1) ENGK01: theory of natural sciences (5) ENGK02: mathematical modelling (3) ENGK03: abstraction and formulation (3) ENGK04: specialist knowledge (5) UOA_1: Disciplinary Knowledge and Practice (4) |
Test 1 Test 2 340 Exam |
Bending of Beams: The student will be able to apply the Euler beam theory for the stress analysis of beams following on from the identification of the type of beam and the type of loading - either after the transformation of the beam or after resolving the moments about axes of symmetry. Theory will be applied to composite beams, and asymmetric beams. They will be able to determine and describe the location of the shear centre for thin-walled beam sections, and calculate shear flow and stresses within a section. |
ENGA01: engineering knowledge (5) ENGA02: problem analysis (4) ENGK01: theory of natural sciences (5) ENGK02: mathematical modelling (3) ENGK04: specialist knowledge (5) ENGK05: engineering design (2) ENGP01: depth of knowledge required (2) UOA_1: Disciplinary Knowledge and Practice (4) |
Test 1 340 Exam Laboratory B Laboratory A |
Fatigue in Ductile Materials: The student will be able to describe cyclic stress and identify if a component is undergoing it, including uniaxial to multiaxial stress states. They will be able to apply the concept of S-N curve to determine the life of a component undergoing cyclic stress. They will understand environmental conditions and manufacturing methods that contribute to early fatigue failure, or can be applied to extend fatigue life. |
ENGA01: engineering knowledge (5) ENGA02: problem analysis (4) ENGK01: theory of natural sciences (5) ENGK02: mathematical modelling (3) ENGK03: abstraction and formulation (3) ENGK04: specialist knowledge (5) ENGK06: engineering practice (1) ENGP01: depth of knowledge required (2) UOA_1: Disciplinary Knowledge and Practice (4) |
340 Exam |
Fracture in Brittle Materials: The student will be able to explain and apply the concept of plane strain fracture toughness to determine critical crack size, for brittle and moderately ductile materials. They will be able to explain how cracks in components grow under a cyclic stress and determine the life when an initial crack grows to critical size. They will be able to describe crack propagation in brittle materials and ductile materials. |
ENGA01: engineering knowledge (5) ENGA02: problem analysis (4) ENGK01: theory of natural sciences (5) ENGK02: mathematical modelling (3) ENGK03: abstraction and formulation (3) ENGK04: specialist knowledge (5) ENGK05: engineering design (2) ENGP01: depth of knowledge required (2) UOA_1: Disciplinary Knowledge and Practice (4) |
Test 2 340 Exam |
Theories of Yield and Axisymmetric Systems : The student will be able to understand and apply theories of yield, with application to generalised stress states, and thick-walled pressure cylinders. |
ENGA01: engineering knowledge (5) ENGA02: problem analysis (4) ENGK01: theory of natural sciences (5) ENGK02: mathematical modelling (3) ENGK03: abstraction and formulation (3) ENGK04: specialist knowledge (5) ENGK05: engineering design (2) ENGP01: depth of knowledge required (2) UOA_1: Disciplinary Knowledge and Practice (4) |
Test 2 340 Exam |
Coursework
The course will be assessed on the basis of 30% coursework and 70% final exam.
-Coursework
Two tests @ 10% each 20%
Two laboratory sessions @ 5% each 10%
Exam rules
-Examination
The exam conditions will be: CLOSED BOOK, and RESTRICTED CALCULATORS. The duration of the exam will be THREE hours. The exam will contain SIX questions and students will be instructed to attempt ANY FIVE of the SIX questions.
Inclusive learning
Students are urged to discuss privately any impairment-related requirements face-to-face and/or in written form with the course convenor/lecturer and/or tutor.
Other assessment rules
No description given
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 his or her learning. Where work from other sources is used, it must be properly acknowledged and referenced. This requirement also applies to sources on the world-wide web. A student's assessed work may be reviewed against electronic source material using computerised detection mechanisms. Upon reasonable request, students may be required to provide an electronic version of their work for computerised review.
All students enrolled at the University of Auckland are required to complete a compulsory Academic Integrity course, usually in their first semester/year of enrolment. The University of Auckland’s full guidelines on procedures and penalties for academic dishonesty are available here.
Actions shared/based on previous feedback
Two strong themes came out of the feedback in 2018:
-Students requested prompt and timely upload of all lecture notes and problem sheets, prior to lectures starting on a particular subject. The course coordinator will work with the lecturers to ensure all material is loaded as early as is practical.
-More helpful feedback was requested on learning progress. While difficult in a large class, a focus will be put on better feedback from the marking of the tests.
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