MEEN3002W Solid Mechanics 2

Academic Year 2022/2023

Syllabus:
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. Strain measurement using strain gauge rosettes. Thin walled pressure vessels.
Introduction to 3D states of stress and strain. Mohr's circle in 3D. Combinations of axial, torsional and bending loading. Yield criteria.
The use of the Unit Load energy method in structural analysis.
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.
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.

Recommended Texts: Benham, P. P., Crawford, R. J. Armstrong, C. G., Mechanics of Engineering Materials, 2nd edition, Prentice Hall, 1996.

Reading List:
Course Notes (provided).
G. E. Mase, Theory and Problems of Continuum Mechanics, Schaum's Outline Series, McGraw-Hill, Inc. 1970 (selected chapters