MECH07010 2019 Mechanics/Dynamics 301
This module addresses the analytical aspects the behaviour of materials.
Mechanics analysis of the stresses induced in material under a variety of load types including direct loading, bending and torsion thought the study of complex stresses. The subject also analysis the strain, deformation, deflection and twisting which result. The subject will also loading required to cause failure under combined / complex loading.
Learning Outcomes
On completion of this module the learner will/should be able to;
Analyse stresses induced by bending moments and torque in beams and shafts
Analyse stresses due to combined bending and torsion.
Determine beam deflection for standard load cases
Determine stresses in components using strain gauges.
Determine factor of safety against failure under complex loading using failure theories
Solve dynamic problems involving inertia, linear and angular displacement, velocity and acceleration.
Module Assessment Strategies
Indicative Syllabus
Free body diagrams: Analysis of forces in everyday items: vice grips, front loader, crane, 2d framework, hoists, 3D space frame.
Bending stresses, Determination of I for rectangular, round sections and complex sections (parallel axis theorem), combined bending and direct stresses (eccentric loading), oblique loading (in plane stresses).
Torsion, Torque/shear stress/angle of twist relationship, torsion of not circular section, indeterminate torsion (shafts in series and parallel), combined bending and torsion. Equivalent bending moment / torque.
Complex stresses: Mathematical and graphical solution of complex stress problems. Principal stresses, pure shear, 3d stresses: problems involving direct, bending and shear stress.
Slope / deflection of beams. Slope and deflection of beams for standard load cases. Derivation of standard formulae by direct integration method.
Strain gauges: Use of strain gauges in Tension, Bending, Torsion and bi-axial loading. Practical aspects of strain gauge application and monitoring.
Built in beams, Determination of bending moment and deflection for built in beams, carrying concentrated, distributed loads.
Failure theories. Max. Shear stress (tresca), Max. shear strain energy (Von Misses), stress concentrations.
Buckling of struts (Euler theory), end conditions, eccentric loading. Laterally loaded struts, concentrated and distributed loads. Euler validity limit
Dynamics: Revision of Equation, periodic motion (pendulum, scotch yoke mechanism), Dynamics of rotation and moments of inertia.
Mechanics/Thermodynamics Practicals and tutorials
Bending stresses in beams
Torsion in shafts
Application and use of strain gauges.
Finite Element Analysis of Beam deflection.
Finite Element Analysis of stress concentration.
Coursework & Assessment Breakdown
Coursework Assessment
Title | Type | Form | Percent | Week | Learning Outcomes Assessed | |
---|---|---|---|---|---|---|
1 | Continuous Assessment | Coursework Assessment | Assessment | 30 % | OnGoing | 1,2,3,4,5,6 |
End of Semester / Year Assessment
Title | Type | Form | Percent | Week | Learning Outcomes Assessed | |
---|---|---|---|---|---|---|
1 | Final Exam Final Exam | Final Exam | UNKNOWN | 70 % | End of Term | 1,2,3,4,5,6 |
Full Time Mode Workload
Type | Location | Description | Hours | Frequency | Avg Workload |
---|---|---|---|---|---|
Lecture | Lecture Theatre | Lecture | 4 | Weekly | 4.00 |
Supervision | Science Laboratory | Mechanics/Thermodyanics practical | 2 | Fortnightly | 1.00 |
Independent Learning | UNKNOWN | Study | 2 | Weekly | 2.00 |
Module Resources
Essential Reading:
Mechanics of Materials EJ Hearne, Elsevier (2018)
Mechanics of Materials, RC Hibbeler, Prentice Hall (2018)
Mechanics of Materials, Beer, McGraw Hill (2018)
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