Marmara Üniversitesi
Marmara Üniversitesi Eğitim-Öğretim Bilgi Sistemi

This course deals with solving problems within the framework of linear theory of elasticity. First, problems in Cartesian coordinates are considered and solutions by polynomial and Fourier methods are presented. Second, the elasticity problem is formulated in polar coordinates and several problems are solved. Finally, some problems in three-dimensional elasticity are presented solved.

-

Introduction and general topics, Stresses and strains, Stresses and strains in Cartesian coordinates, Equilibrium equations in Cartesian and polar coordinate systems, Three-dimensional stress state at a point, Stress and stress components, Stress-strain relations, Thermo-elastic equations, Saint-Venant’s principle, Two-dimensional elasticity problems, Plain-stress and plain strain, Generalized Hooks Law, Elastic constant and relations in between, Virtual work, Airy stress function, Stress function approach in two-dimensional problems, Superposition methods in stress function, Bending of beams, Stress analysis in axial symmetric members, Thick-walled pressure vessels, Compound cylinders, Rotating disks, Rotating pressure cylinders

Presentations, Homeworks, Quizzes,

Yok

İngilizce

Yayla P., Uygulamalı Elastisite Teorisi, 1. Baskı, ISBN 978-605-133-709-8, Nobel Akademik Yayıncılık, 2014 Timoshenko S.P., Goodier J.N., Theory of Elasticity, 3rd Ed., McGraw-Hill, New York, 1970 Barber R.J., Elasticity, 3rd Ed., Springer, 2010 Boresi A.P., Chong K.P., Lee J.D., Elasticity in Engineering Mechanics, 3rd Ed., John Wiley, 2011 Fenner R.T., Engineering Elasticity, Ellis Horwood, 1986

-

• Understand the basic concepts in continuum mechanics of solids, including of internal force, stress, strain, and equilibrium in solids
• Characterize materials with elastic constitutive relations.
• Use analytical techniques to predict deformation, internal force and failure of simple solids and structural components
• Apply principles of continuum mechanics to design a structure or component to achieve desired performance under realistic constraints