# MEEN3002W Solid Mechanics 2

## Academic Year 2023/2024

This module introduces topics from 2D and 3D states of stress and strain to torsion of non-circular sections and fatigue analysis of loaded shafts. This pertains to the sequential progression of coursework from the foundational solid mechanics module presented in the second-year course MEEN2003W where uni-directional (1D) state of stress was introduced.

Syllabus:
1. Introduction to 2D states of stress and strain: stress transformations, principal stresses, maximum shear stress, Mohr's circles of stress and strain, Hooke's law.
2. Strain measurement using strain gauge rosettes.
3. Thin walled pressure vessels.
4. Introduction to 3D states of stress and strain, Mohr's circle in 3D.
4. Combinations of axial, torsional and bending loading.
5. Yield criteria.
6. The use of the Unit Load energy method in structural analysis.
7. Torsion of non-circular sections: The Prandtl stress function. Analysis of solid elliptical, rectangular, narrow rectangular and developed cross-sections, and thin-walled closed cross-sections.
8. Introduction to fatigue analysis of shafts subjected to a combination of bending, torsion and axial loading.

Laboratory Exercises:
Lab 1: One of the following experiments will be performed by a given group:
(a). Experimental verification of the maximum shear stress yield criterion for a ductile metallic test specimen subjected to combined bending and torsional loading. OR (b). The use of the Unit Load energy method to determine deflections in structures subjected to bending loads.
Lab 2: Introduction to finite element stress analysis. Determination of the state of stress in a typical engineering structure or component.

Note: Lab reports are to be handed in within two weeks after the date of the lab activity.

Assignments:
Two homework assignments will be set during the course of the trimester. Students will typically be given two weeks to complete each assignment.

Joint Module Coordinators:
Guohua Zhu, Fei Wang

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Curricular information is subject to change

Learning Outcomes:

On successful completion of this subject the student will be able to:
1. Analyze 2D states of stress and strain, sketch Mohr's Circles and calculate principal values and corresponding principal directions.
2. Analyze 3D states of stress and strain, sketch Mohr's Circles and calculate the principal values and corresponding principal directions of stress and strain tensors.
3. Confidently analyze the state of stress caused by a combination of axial, torsional and bending loads and determine the resulting factor of safety against yielding.
4. Calculate the required diameter or the factor of safety of a shaft subjected to fatigue loading.
5. Perform a finite element stress analysis of a simple engineering component.
6. Present and justify the main assumptions and findings in formulating and solving the stress analysis problems encountered in the course.

Indicative Module Content:

Student Effort Hours:
Student Effort Type Hours
Autonomous Student Learning

70

Lectures

27

Practical

6

Total

103

Approaches to Teaching and Learning:
Module delivery is based around weekly lectures, and two laboratory sessions. A problem-based approach is taken in lectures and tutorials, whereby the theory is taught through examples. In addition, a comprehensive set of course notes is provided which contains many worked examples, which allow students to master individual topics at their own pace. The lecturers are very approachable and are always available to meet with students to discuss any topic for which they require further clarification.
Requirements, Exclusions and Recommendations

Not applicable to this module.

Module Requisites and Incompatibles
Pre-requisite:
MEEN2003W - Solid Mechanics 1

Additional Information:
This module is delivered overseas and is not available to students based at the UCD Belfield or UCD Blackrock campuses

Assessment Strategy
Description Timing Open Book Exam Component Scale Must Pass Component % of Final Grade
Examination: End semester exam 2 hour End of Trimester Exam No Standard conversion grade scale 40% Yes

40

Class Test: 2 class tests; closed book Varies over the Trimester n/a Graded No

20

Lab Report: Marks based on observations and readings presented in the 2 lab reports Varies over the Trimester n/a Graded No

20

Assignment: 2 graded assignments Varies over the Trimester n/a Graded No

20

Carry forward of passed components
No

Remediation Type Remediation Timing
In-Module Resit Prior to relevant Programme Exam Board
Please see Student Jargon Buster for more information about remediation types and timing.
Feedback Strategy/Strategies

• Group/class feedback, post-assessment
• Online automated feedback

How will my Feedback be Delivered?

Not yet recorded.

Reading List:
1. Course Notes (provided).
2. Benham, P. P., Crawford, R. J. Armstrong, C.G., “Mechanics of Engineering Materials”, Prentice Hall.

Suggested Reading:
1. Continuum Mechanics: G. E. Mase, Theory and Problems of Continuum Mechanics, Schaum's Outline Series, McGraw-Hill, Inc. 1970 (selected chapters)
2. Gere, J. M., “Mechanics of Materials, Brooks/Cole.
3. Fenner, R.T., “Mechanics of Solids”, CRC Press.
4. Nash, W. A., “Theory and Problems of Strength of Materials”, Schaum's Outline Series, McGraw Hill.
Timetabling information is displayed only for guidance purposes, relates to the current Academic Year only and is subject to change.

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