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.

• ability to apply knowledge of basic science and engineering fundamentals

• in-depth technical competence in at least one engineering discipline

• ability to undertake problem identification, formulation and solution

• ability to function effectively as an individual and in multi-disciplinary and multi-cultural teams, with the capacity to be a leader or manager as well as an effective team member

• understanding of professional and ethical responsibilities and commitment to them

• expectation of the need to undertake lifelong learning, capacity to do so

• capacity for independent critical thought, rational inquiry and self-directed learning

• intellectual curiosity and creativity, including understanding of the philosophical and methodological bases of research activity

• profound respect for truth and intellectual integrity, and for the ethics of scholarship

One 3-hour examination at the end of semester (80%).

Unit 1: assignment of up to 1000 words (10%).

Unit 2: assignment of up to 1000 words (5%) and 2 laboratory reports (5%) due throughout the semester.