DYNM08004 2019 Mechanics 401
This Mechanics module expands the analysis tools developed in year 3 enabling students to solve deflection problems under more varied loading condition. This model also takes analysis beyound the limits of elastic behaviour for the first time, by applying a analytical treatment to plastic behaviour. Application of strain gauges will be expanded to full complex loading with the use of strain gauges rosettes.
Learning Outcomes
On completion of this module the learner will/should be able to;
Solve beam deflection for any combination of conc. and UDL loads.
Solve thick cylinder problem including stresses induced by interference fits
Solve bending and torsion problems where loads cause plastic behaviour.
Find stresses from strain rosette data for parts under complex loads.
Identify different modes of failure and solve fatigue failure problems
Solve problems using energy methods and Finite Element Analysis
Module Assessment Strategies
Final Exam (70%) / Continuus assessment (30%)
Indicative Syllabus
Slope and deflection of beams. Slope and deflection of beams for general load cases using McCauley’s method. Moment area method.
Lateral Shear stress: Shear stress distribution in beams, Unsymmetrical loading of thin walled members. Shear centre.
Thick cylinders, Mathematical and graphical solution of stresses Single / compound cylinders, due to pressure, interference fit pressure, and interference overlap. Determination of Assembly force and torque.
Elastic plastic behaviour, Elastic Plastic bending, Elastic Plastic torsion, Plastic hinge, Residual stresses. Plastic Yielding of a pressurised cylinder.
Complex strains: Strain-stress relationship bi-axial loading, Elastic constants relationships, Plane stress/Plane strain, Complex strains, Mathematical/graphical solution of Strain gauges.
Fatigue: Overview of failure modes, Solving fatigue failure problems using Gerber, Soderberg and Goodman theories. Fatigue stress concentration factors. Cumulative damage, Fatigue testing: combating fatigue.
Strain energy in direct loading, shear, bending and torsion. Strain energy per unit volume. Castiglianos theorem.
Unsymmetrical Bending: Principal second moments of area, Mohrs circle for second moments of area, stresses induced in unsymmetrical sections.
Matrix solution of problems: Matrix solution of direct stress and torsion problems, matrix solution of frameworks. Computer analysis of problems.
Finite element analysis theory, Element types and capability. Strain displacement relations for simple spring elements. Equilibrium, boundary conditions, stiffness matrices. Analysis of a 2d truss. Problem solving using finite element analysis software.
Coursework & Assessment Breakdown
Coursework Assessment
Title | Type | Form | Percent | Week | Learning Outcomes Assessed | |
---|---|---|---|---|---|---|
1 | Continuous Assessment : assessments/practicals | Coursework Assessment | Assessment | 30 % | OnGoing | 1,2,3,4 |
End of Semester / Year Assessment
Title | Type | Form | Percent | Week | Learning Outcomes Assessed | |
---|---|---|---|---|---|---|
1 | Final Exam: | Final Exam | Closed Book Exam | 70 % | End of Term | 1,2,3,4,5,6 |
Full Time Mode Workload
Type | Location | Description | Hours | Frequency | Avg Workload |
---|---|---|---|---|---|
Lecture | Flat Classroom | Mechanics / Dynamics Lectures | 4 | Weekly | 4.00 |
Tutorial | Flat Classroom | Tutorial | 2 | Fortnightly | 1.00 |
Independent Learning | UNKNOWN | Private Study | 3 | Weekly | 3.00 |
Module Resources
Mechanics of Materials (E.J. Hearne) Elsevier
Mechanics of Material (R. C. Hibbeler) Prentice hall
MD Solids Software
Working Model software
Finite element analysis software (Solidworks/Ansys)
None