CE 131 - ADVANCED MECHANICS OF MATERIALS^*

3 Units

Mechanics of load-carrying members: stress, strain, elastic stress-strain relations, work and energy, boundary-value problems. Torsion. Bending of beams and plates: asymmetric bending, thermoelastic bending, thin-walled and sandwich beams, introduction to plate theory. Buckling of bars.

This course is intended to provide a background in solid and structural mechanics to students interested in civil and mechanical engineering design applications, rather than in mechanics as a discipline. Basic concepts covered include equilibrium, stress, and traction; displacement, strain, and compatibility; elastic and inelastic stress-strain relations, virtual work, energy, and Saint-Venant's principle. Topics in torsion include the Saint-Venant and Prandtl theories, membrane analogy, torsion of circular sections, open and closed sections, multicell sections, and torsion with restrained warping. Topics in bending include asymmetric bending, thermoelastic bending, influence of shear deformation, sandwich beams, and an introduction to plate theory. The study of buckling of bars includes Euler theory, tangent-modulus load, energy methods, and the effect of shear force.

Advanced Mechanics of Materials, Boresi & Sidebottom, 4th Edition, Wiley, 1985.

To develop a methodology, from an advanced point of view, for the analysis of stress, deformation and stability of various structural elements such as rods, beams and plates; to introduce classical methods of analysis; to provide a background for the study of complex problems by the finite-element method.

F. Armero

*CE 131 is a senior level mechanics course.  It is appropriate for seniors and Master's level students who have a terminal goal of a Master's degree and have not taken any mechanics beyond CE 130.