Title:  Materials/Structures Mechanics 
Long Title:  Materials/Structures Mechanics 
Field of Study: 
Mechanical Engineering

Valid From: 
Semester 1  2016/17 ( September 2016 ) 
Module Coordinator: 
NIALL MORRIS 
Module Author: 
Sean F OLeary 
Module Description: 
This module will cover two dimensional mechanical linear and limited nonlinear 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 nonlinear 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 
Prerequisite learning 
Module Recommendations
This is prior learning (or a practical skill) that is strongly recommended before enrolment in this module. You may enrol in this module if you have not acquired the recommended learning but you will have considerable difficulty in passing (i.e. achieving the learning outcomes of) the module. While the prior learning is expressed as named MTU module(s) it also allows for learning (in another module or modules) which is equivalent to the learning specified in the named module(s).

10447 
MECH6031 
Mechanics of Materials 2 
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 
Corequisite Modules

No Corequisite 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.

No requirements listed 
Module Content & Assessment
Indicative Content 
Complex Stresses
Derivation of equations of transformation of plane stress, principal stresses and planes, maximum shear stresses. Mohr’s Circle of Stress.

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.

Stress/Strain Relations and Elastic Constants
Linear strain for triaxial stress state. Principal strains in terms of stresses. Principal stresses in terms of strains. Volumetric strain. Relationships between the elastic constants.

Strain Energy
Strain energy of a three dimensional principal stress system. Volumetric strain energy. Distortional strain energy.

Theories of Elastic Failure
Introduction to theories of elastic failure. Graphical representation of failure theories. Graphical solution of 2D theory of failure problems. Limitations of the failure theories. Effects of stress concentrations. Safety factors. Modes of failure.

Fatigue
Fatigue limit, endurance limit, Gerber Goodman, Soderberg theory. Stress concentration. Cumulative damage. Miner's Law, temperature effect, environment and surface finish.

Curved Bars
Stresses in bars of large and small initial curvatures. Deflection of curved bars. Deflection from strain energy, Castigliano’s Theorem.

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: semielliptical and quarterelliptical, flat spiral springs.

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.
Prestressing of thin cylinders. Limitations of thin vessel theory. Overview of thick cylinder approach.

Rotating Rings, Discs and Cylinders
Thin rotating ring and cylinder. Rotating solid disc and shaft. Rotating disc with central hole.

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.

Assessment Breakdown  % 
Course Work  40.00% 
End of Module Formal Examination  60.00% 
Course Work 
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 
Assessment Type 
Assessment Description 
Outcome addressed 
% of total 
Assessment Date 
Formal Exam 
EndofSemester Final Examination 
1,2,3 
60.0 
EndofSemester 
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.

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 (Noncontact) 
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 (Noncontact) 
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 

 Hearn E.J. 1997, Mechanics of Materials, Vols. 1 and 2, 3rd Edition Ed., Butterworth Heinemann [ISBN: 0 7506 3266 6]
 Supplementary Book Resources 

 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, McGrawHill [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 

Other Resources 

 Website: Engineering Fundamentals Mechanics of
Materials Website
 Website: Engineers Edge Mechanics of Materials
Website

Module Delivered in
