ME 444: Design Problems in Elasticity

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ME 444 - Design Problems in Elasticity

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Catalog Description

444 Design Problems in Elasticity. II; 3 cr. Analysis of elastic systems by strain-energy techniques. Determination of stresses and deflections in statically indeterminate structures encountered in design. Resilience in springs. P: ME 342 or cons inst.

Course Prerequisite(s)

See catalog description above.

Prerequisite knowledge and/or skills

Calculus and differential equations
Statics and strength of materials
Understanding of machine components

Textbook(s) and/or other required material

J. Eisley, Mechanics of Elastic Structures, Classical and Finite Element Methods, Prentice Hall, 1989.

Course objectives

The goal of this course is for senior level undergraduate students and beginning graduate students to develop a sufficient background in the areas of linear elasticity nd energy methods to be able to analyze structural mechanics problems that arise in design. Finite elements methods are used for the determination of static stresses and deflections of mechanical components.

Topics covered

General theory of elasticity; equilibrium, stress-strain and strain-displacement equations. (6 classes)
Plane stress and plane strain design examples. (2 classes)
Elasticity relationships in cylindrical and polar coordinates. (2 classes)
Circular disks and thick-walled pressure vessels. (2 classes)
General theory of slender bars; axial loading, bending and shear loading. (6 classes)
General theory of plates; series solutions for bending. (6 classes)
Torsion of bars and beams; Saint-Venant's theory, Prandtl stress function. (6 classes)
Energy methods; virtual work, strain energy and Principle of Minimum Potential Energy. (6 classes)
General theory of finite element methods. (2 classes)
Castigliano's theorems. (3 classes)
Finite element modeling and static solutions for stresses and deflections. (4 classes)

Person(s) who prepared this description

Roxann L. Engelstad

Copyright 2007 The Board of Regents of the University of Wisconsin System
Date last modified: 04-Aug-2007
Content by: deptinfo@me.engr.wisc.edu
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