| Title: | Materials/Structures Mechanics |
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| Long Title: | Materials/Structures Mechanics |
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| Field of Study: |
Mechanical Engineering
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| Valid From: |
Semester 1 - 2016/17 ( September 2016 ) |
| Module Coordinator: |
GER KELLY |
| Module Author: |
Sean F OLeary |
| Module Description: |
This module will cover two dimensional mechanical linear and limited non-linear elastic analysis and design, from first principles, of rotating and statically loaded structures including curved bars, springs, pressure vessels and rotating discs, shafts and cylinders. |
| Learning Outcomes |
| On successful completion of this module the learner will be able to: |
| LO1 |
Determine the fundamental transformation relations of two dimensional linear elastic analysis. |
| LO2 |
Analyse 2D determinate mechanical structures for critical elastic strength of materials parameters. |
| LO3 |
Solve for two dimensional linear / limited three dimensional non-linear governing equations to design rotating/static machine and structural elements including: curved bars, springs, pressure vessels, rotating discs, shafts and cylinders. |
| LO4 |
Conduct laboratory experiments in two dimensional mechanics of materials and structures as part of a team in a safe and appropriate manner and produce individual professional reports detailing results, analysis and conclusions |
| Pre-requisite learning |
Incompatible Modules
These are modules which have learning outcomes that are too similar to the learning outcomes of this module. You may not earn additional credit for the same learning and therefore you may not enrol in this module if you have successfully completed any modules in the incompatible list. |
| No incompatible modules listed |
Co-requisite Modules
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| No Co-requisite modules listed |
Requirements
This is prior learning (or a practical skill) that is mandatory before enrolment in this module is allowed. You may not enrol on this module if you have not acquired the learning specified in this section.
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| No requirements listed |
Co-requisites
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| No Co Requisites listed |
Module Content & Assessment
| Indicative Content |
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Complex Stresses
Derivation of equations of transformation of plane stress, principal stresses and planes, maximum shear stresses. Mohr’s Circle of Stress.
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Complex Strains
Derivation of equations of transformation of plane strain, principal strains and planes, maximum shear strains. Mohr’s Circle of Strain. Plane stress/plane strain analogies and transformation. Strain measurement by strain gauges. General strain rosette. Rectangular, Delta and T strain rosettes.
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Stress/Strain Relations and Elastic Constants
Linear strain for tri-axial stress state. Principal strains in terms of stresses. Principal stresses in terms of strains. Volumetric strain. Relationships between the elastic constants.
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Strain Energy
Strain energy of a three dimensional principal stress system. Volumetric strain energy. Distortional strain energy.
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Theories of Elastic Failure
Introduction to theories of elastic failure. Graphical representation of failure theories. Graphical solution of 2-D theory of failure problems. Limitations of the failure theories. Effects of stress concentrations. Safety factors. Modes of failure.
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Fatigue
Fatigue limit, endurance limit, Gerber Goodman, Soderberg theory. Stress concentration. Cumulative damage. Miner's Law, temperature effect, environment and surface finish.
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Curved Bars
Stresses in bars of large and small initial curvatures. Deflection of curved bars. Deflection from strain energy, Castigliano’s Theorem.
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Springs
Derivation of closed coiled helical spring theory. Open coiled helical spring subjected to axial load and axial torque. Springs in series and in parallel. Limitations of simple theory - correction factors. Leaf or carriage springs: semi-elliptical and quarter-elliptical, flat spiral springs.
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Pressure Vessel Analysis
Derivation of thin cylinder and sphere theory. Vessels subjected to fluid pressure.
Cylindrical vessel with hemispherical ends. Effect of end plates and joints.
Pre-stressing of thin cylinders. Limitations of thin vessel theory. Overview of thick cylinder approach.
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Rotating Rings, Discs and Cylinders
Thin rotating ring and cylinder. Rotating solid disc and shaft. Rotating disc with central hole.
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Strength of Materials Laboratories
Laboratory Introduction and Safety.
Experimental Measurement of 2D Strain.
Strain Rosette – Determination of Principal Strains and Stresses.
Experimental Measurement of 2D Stress.
Photoelastic Analysis of Stress Distribution in Crane Hook.
Experimental Measurement of Deflection.
Castigliano’s Theorem / Deflection of Curved Bars of Various Configuration.
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| Assessment Breakdown | % |
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| Course Work | 40.00% |
| End of Module Formal Examination | 60.00% |
| Course Work |
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| Assessment Type |
Assessment Description |
Outcome addressed |
% of total |
Assessment Date |
| Written Report |
Experimental Measurement of 2D Strain Laboratory |
1,4 |
15.0 |
Week 5 |
| Written Report |
Measurement of Deflection of Curved Bars Laboratory |
3,4 |
15.0 |
Week 7 |
| Written Report |
Photoelastic Stress Analysis Laboratory |
2,4 |
10.0 |
Week 9 |
| End of Module Formal Examination |
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| Assessment Type |
Assessment Description |
Outcome addressed |
% of total |
Assessment Date |
| Formal Exam |
End-of-Semester Final Examination |
1,2,3 |
60.0 |
End-of-Semester |
| Reassessment Requirement |
Repeat examination
Reassessment of this module will consist of a repeat examination. It is possible that there will also be a requirement to be reassessed in a coursework element.
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The institute reserves the right to alter the nature and timings of assessment
Module Workload
| Workload: Full Time |
| Workload Type |
Workload Description |
Hours |
Frequency |
Average Weekly Learner Workload |
| Lecture |
Theoretical Development and Analysis |
3.0 |
Every Week |
3.00 |
| Tutorial |
Worked Numerical Examples and Problems |
1.0 |
Every Week |
1.00 |
| Lab |
Strength of Materials Laboratory |
2.0 |
Every Second Week |
1.00 |
| Independent & Directed Learning (Non-contact) |
Self Directed Study |
2.0 |
Every Week |
2.00 |
| Total Hours |
8.00 |
| Total Weekly Learner Workload |
7.00 |
| Total Weekly Contact Hours |
5.00 |
| Workload: Part Time |
| Workload Type |
Workload Description |
Hours |
Frequency |
Average Weekly Learner Workload |
| Lecture |
Theoretical Development and Analysis |
3.0 |
Every Week |
3.00 |
| Tutorial |
Worked Numerical Examples and Problems |
1.0 |
Every Week |
1.00 |
| Lab |
Strength of Materials Laboratory |
2.0 |
Every Second Week |
1.00 |
| Independent & Directed Learning (Non-contact) |
Self Directed Learning |
2.0 |
Every Week |
2.00 |
| Total Hours |
8.00 |
| Total Weekly Learner Workload |
7.00 |
| Total Weekly Contact Hours |
5.00 |
Module Resources
| Recommended Book Resources |
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- Hearn E.J. 1997, Mechanics of Materials, Vols. 1 and 2, 3rd Edition Ed., Butterworth Heinemann [ISBN: 0 7506 3266 6]
| | Supplementary Book Resources |
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- Hibbeler R.C. 2010, Engineering Mechanics, 12th Edition Ed., Prentice Hall [ISBN: 0 1381 49291]
- Craig R.R. 2011, Mechanics of Materials, 3rd Edition Ed., Wiley [ISBN: 0470481811]
- Solecki R., Conant R.J. 2003, Advanced Mechanics of Materials, 1st Edition Ed., Oxford University Press [ISBN: 0 1951 4372 0]
- Budynas R.G. 1998, Advanced Strength and Applied Stress Analysis, McGraw-Hill [ISBN: 0 0700 8985 X]
- Coates R.C., Coutie M.G., Kong F.K. 1990, Structural Analysis, 3rd Edition Ed., E. & F.N. Spon [ISBN: 0 2780 0035 3]
- Ward I.M., Sweeney J. 2004, An Introduction to the Mechanical Properties of Solid Polymers, 2nd Edition Ed., Wiley [ISBN: 0 4714 9626 7]
- Benham P.P., Crawford R.J., Armstrong C.G. 1996, Mechanics of Engineering Materials, 2nd Edition Ed., Longman [ISBN: 0 5822 5164 8]
- Ryder G.H., 1969, Strength of Materials, Palgrave MacMillan [ISBN: 0 3331 0928 7]
| | This module does not have any article/paper resources |
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| Other Resources |
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- Website: Engineering Fundamentals Mechanics of
Materials Website
- Website: Engineers Edge Mechanics of Materials
Website
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Module Delivered in
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