MEEN40170

Syllabus:
A range of important topics in advanced stress analysis are covered, including:

Stress-strain distributions in planar elastic bodies. Compatibility and biharmonic equations. The use of Airy stress functions to solve for the analytical stress distribution in classic cases such as a 2D beam in bending and a hole in a semi-infinite plate.Design of thick-walled pressure vessels. Lame's solution. Shrink fitting and interference fits.

Impact loading & stress waves in elastic solids. High strain rate testing of materials using the Split Hopkinson Pressure Bar apparatus.

Bending of thin plates. Derivation of governing equations in rectangular and cylindrical coordinates. Solution of a variety of practical problems involving flat rectangular and circular plates and axi-symmetrical shells.

Bending of straight beams of asymmetrical cross sections. Normal and shear stress distributions and the location of the shear centre. Bending of curved beams.

Plastic collapse of straight beams. Determination of the collapse mode and corresponding collapse loads for simple structures.


Laboratory Exercise:

Plastic collapse of beams in bending. In this test, a beam of a given cross-section will be loaded to destruction in a laboratory scale testing rig. The theoretical value of collapse load will be calculated for the loading configuration and beam cross-section of interest and compared to the experimental value.

All laboratories are carried out with reference to current School Health and Safety protocols. Students should follow these during all laboratory activities. Further information is available at https://intranet.ucd.ie/smme/index.html

Note: Lab report is to be submitted within two weeks of the date of the lab activity.

Assignments: Three in-class tests will be set during the course of the trimester.

Recommended Texts:
P. P. Benham, R. J. Crawford and C. G. Armstrong, Mechanics of Engineering Materials, Longman.
H. Kolsky, Stress Waves in Solids, Dover publications.
Reading List:Lecture slides (provided).
G. E. Mase, Theory and Problems of Continuum Mechanics, Schaum's Outline Series, McGraw-Hill, Inc. 1970 (selected chapters).
S.P. Timshenko and J.N. Goodier, Theory of Elasticity, 3rd edn, McGraw-Hill, London, 1970 (selected chapters).