ME 472 Advanced Mechanics of Materials (3 cr.)

Syllabus

Outcomes: After completion of this course, the students should be able to:

  1. Explain the concept of elasticity, and the difference between stress and strain [a4]

  2. Explain the terms: isotropic, othotropic and anisotropic, as applied to materials [a4]

  3. Explain the terms: plane stress and plane strain [a4]

  4. Conduct the transformation of plane stress or plane strain components using Mohr’s circle, the method of eigenvalues and eigenvectors, the method of quadratic form of ellipsoids, and the method of stress or strain trajectories [a4, e]

  5. Use the concepts of principal stress and principal strains [e]

  6. Use the basic tensor notations, the stress, strain and inertia tensors, and their reduction to principal axes [a4, e]

  7. Apply the analytical procedures involved in strain gauge measurements, in particular the transformation equations [e]

  8. Solve basic problems in two-dimensional elasticity using Airy’s stress function [e]

  9. Evaluate solutions of simple engineering problems using mechanics of material theories [e]

10. Use basic stability and yield criteria for elasto-plastic materials [e]

11. Apply basic concepts of elastic stability and buckling of elastic structures [e]

12. Using finite difference approximations to solve elasticity problems governed by partial differential equations [e]


Note: The letters within the brackets indicate the general program outcomes of mechanical engineering. See: ME Program Outcomes.