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MAE 131A: FUNDAMENTALS OF SOLID MECHANICS I FALL 2010 Catalog Data: Stress and strain, generalized Hooke’s law. Mechanics of deformable bodies under torsional, shearing and bending loads. Deflection of beams. Stability of columns. St. Venants semi-inverse torsion analysis. Strain energy and energy principles. Design of statically inderterminate rods, shafts, beams and columns. Professional ethics. Prerequisites: admission to the engineering major and grades of C- or better in Math. 20D or 21D, 20F; and MAE 130A or SE 101A. Prerequisites by topic: Integral and differential calculus, differential equations, Newton’s laws, engineering statics and rigid body dynamics. Textbook: Mechanics of Materials, 5 th edition. Authors: Ferdinand P. Beer, E. Russell Johnston, JR., and John T. DeWolf. Chapters to be covered: Ch. 1 : Concept of Stress (Sect. 1.1-1.13); Chapter 2 : Axial Loading (Sect. 2.1-2.19) Ch. 3 : Torsion (Sect. 3.1-3.8); Ch. 4&5: Pure Bending (Sect. 4.1-4.7, 4.12-4.14; 5.4) Ch. 6 : Shearing Stresses in Beams (Sect. 6.1-6.4, 6.6-6.7) Ch. 7 : Transformation of Stress and Strain (Sect. 7.1-7.6) Ch. 8 : Design of Beams Under Combined Loading (Sect. 8.1-8.4)
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