436-354 Mechanics 3

Students will be expected to be familiar with the material of 436-353 Mechanics 2 and 200-level mathematics.

Unit 1, Stress Analysis: Upon completion of this unit, students should be able to model a variety of mechanical engineering structures as a number of elementary components and stress analyse each component to determine failure loads and deflections of the complete structure.

Topics covered include engineering plasticity, design of pressure vessels and pipes, thick-walled cylinders, shrink fitting, duplex pressure vessels, inelastic deformation, residual stresses, membrane theory of shells of revolution, yielding, rotating shells, local bending stresses, stress analysis of rotating discs with and without holes, shrink fitting, initial and ultimate yielding; fracture mechanics and fatigue; and introduction to the finite element method.

Unit 2, Dynamics of Mechanical Systems: Upon completion, students should be able to formulate physical and mathematical models for three-dimensional dynamic analysis of mechanical systems, solve the mathematical models by means of analytical and numerical methods and assess stability of their solutions.

Topics covered include constraints, mobility, generalised coordinates, number of degrees of freedom, driving forces, virtual displacement, generalised force, impressed forces and constraint forces, principle of virtual work, Lagrange equations of motion, kinetic energy function, potential energy function, collisions of unconstrained and constrained bodies, and analysis of mathematical models.

One examination not exceeding three hours; tutorials, tests, assignments and laboratory reports not exceeding 30 pages. Students will be notified of the weighting of assessment components at the beginning of semester.