Euler-Bernoulli beam theory: review of the basic assumption. Torsion of beams: Saint-Venant's solution. Yield criteria: introduction to yield criteria. Plastic behavior of trusses. Plastic bending and torsion of beams. Thermoelasticity: introduction to the behavior of structures under thermal loading. Buckling of beams. Shear deformations in beams. Kirchhoff plate theory: theory for isotropic plates. Decoupling into bending and stretching equations. Boundary conditions. Energy methods. Anisotropic plates: classical lamination theory. Governing equations for anisotropic plates. Classical solutions for plates: the Navier solution; the Lévy solution. Energy methods for plates. Mindlin plate theory: shearing deformations in plates. Navier solution for shear deformable plates. Energy principles for shear deformable plates. Von Karman equations: governing equations for plates undergoing large displacements and rotations. Buckling of anisotropic plates: compressive and shearing loads. Effects of shearing deformations. Vibrations of plates: effects of shearing deformations and in-plane loads.

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The overall numerical grade for this course will be computed as follows: 8-10 homework assignments (40%), 4 exams (40%), 1 final exam (20%).Homework will be assigned on a weekly basis. Homework is assigned on Thursdays lectures and is due the next Thursdays, in class. Homework is a vital part of the learning process, and 40% of your final grade. To make sure no homework is forgotten, an aging factor will be built into the grading. Do not forget to use the mandatory homework format.

• O.A. Bauchau and J.I. Craig:"Structural Analysis with Application to Aerospace Structures." Springer, Dordrecht, Heidelberg, London, New-York, 2009.C.Y. Chia: "Nonlinear Analysis of Plates." McGraw-Hill Book Company, New-York, 1980.G. Wempner: "Mechanics of Solids with Applications to Thin Bodies." Sijthoff & Noordhoff, The Netherlands, 1981.I.H. Shames and C.L. Dym: "Energy and Finite Element Methods in Structural Mechanics." Hemisphere Publishing Corp., 1985.]K. Washizu: "Variational Methods in Elasticity and Plasticity." Pergamon Press, Oxford, U.K., 1975.S.P. Timoshenko and S. Woinowsky-Krieger: "Theory of Plates and Shells." McGraw-Hill Book Company, New York, 1959.S.P. Timoshenko and J.M. Gere: "Theory of Elastic Stability." McGraw-Hill Book Company, New York, 1961.B.K. Donaldson: "Analysis of Aircraft Structures." McGraw-Hill Book Company, New York, 1993.D.H. Allen and W.E. Haisler: "Introduction to Aerospace Structural Analysis." John Wiley & Sons, New York, 1985.J.T. Oden and E.A. Ripperger: "Mechanics of Elastic structures." McGraw-Hill Book Company, New York, 1980.J.N. Reddy: "Energy and Variational Methods in Applied Mechanics." John Wiley & Sons, Inc, New York, 1984.