# DYNM08004 2019 Mechanics 401

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**Description**

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;*

**1.**

Solve beam deflection for any combination of conc. and UDL loads.

**2.**

Solve thick cylinder problem including stresses induced by interference fits

**3.**

Solve bending and torsion problems where loads cause plastic behaviour.

**4.**

Find stresses from strain rosette data for parts under complex loads.

**5.**

Identify different modes of failure and solve fatigue failure problems

**6.**

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 & Continuous Assessment**

**End of Semester / Year Formal Exam**

### Coursework Assessment

Title | Type | Form | Percent | Week | Learning Outcomes Assessed | |
---|---|---|---|---|---|---|

1 | Continuous Assessment : assessments/practicals | Continuous Assessment | Assessment | 30 % | OnGoing | 1,2,3,4 |

### End of Semester / Year Assessment

Title | Type | Form | Percent | Week | Learning Outcomes Assessed | |
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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

**Non ISBN Literary Resources**

Mechanics of Materials (E.J. Hearne) Elsevier

Mechanics of Material (R. C. Hibbeler) Prentice hall

**Other Resources**

MD Solids Software

Working Model software

Finite element analysis software (Solidworks/Ansys)

**Additional Information**

None