Welcome to this open online course: Foundations of Solid Mechanics. I and a couple of colleagues of mine will help you to get familiar with the major contents of Solid Mechanics. This online course is a development of classroom notes prepared in connection with advanced undergraduate and first year graduate courses in elasticity and the mechanics of solids. This course includes, but is not limited to, content supporting the educational objectives in many engineering subjects such as mechanics, civil engineering, mechanical engineering, transportation engineering, materials science, bioengineering and so on, and outcomes of the engineering programs. This course will require some reasonable background knowledge in advanced mathematics, linear algebra, statics and mechanics of materials. The major contents of this course involve the fundamentals of tensor, three-dimensional stress and strain analysis, failure theories, introduction to two-dimensional elasticity, torsion of prismatic members, beams on elastic foundations, energy methods, introduction to plates and high-order beam theories, and introduction to non-classical beam and plate models, as well as many illustrating examples.

This course particularly emphasizes on the integration of mathematical knowledge and mechanical principles. Upon completion of this course, students will develop proficiency in advanced principles and practice in the specialized area of solid mechanics and structural engineering. Specific emphasis is placed on students attaining and demonstrating:

· An ability to identify and solve engineering problems.

· An ability to use mathematical procedures to solve engineering practical problems.

Background knowledge in advanced mathematics, linear algebra, statics and mechanics of materials is desired.

A.C. Ugural & S. K. Fenster, 2011. Advanced mechanics of materials and applied elasticity. Pearson Education.

M.H. Sadd, Elasticity: Theory, Applications, and Numerics, 2005, Elsevier. 

S.P. Timoshenko & J.N. Goodier, 1970, Theory of Elasticity, 3rd ed., McGraw-Hill.

A.E.H. Love, 1934, A Treatise of the Mathematical Theory of Elasticity, 4th ed., Cambridge University Press.