436-353 Mechanics 2

Students will be expected to be familiar with the material of 436-202 Mechanics 1 and 200-level mathematics.

Unit 1, Stress Analysis: Upon completion of this unit, students should understand the principles of energy methods as applied to solving a variety of problems in elasticity, including statically indeterminate ones; comprehend the nature of inelastic deformation and its basic governing laws together with their application to simple manufacturing processes; and understand the techniques of experimental stress analysis.

Topics covered include energy methods in stress analysis, stationary potential and complementary energy theorems, virtual work, Castigliano's first and second theorems, method of Rayleigh-Ritz, statically indeterminate systems, suddenly applied loads, impact stresses, inelastic behaviour, yield criteria, constitutive relations, work hardening, basic problems in inelastic deformation, thermal stresses and experimental stress analysis.

Unit 2, Mechanics of Rigid Bodies: Upon completion of this unit students should be able to understand the principles of three-dimensional mechanics of rigid body and carry out kinematic analysis of mechanical systems.

Topics covered include motion of particles in terms of inertial frames, motion of particles in terms of translating and rotating frames, matrix of directional cosines, Euler's angles, angular velocity and angular acceleration, Coriolis statement, motion of a rigid body, kinetics of a system of particles, linear and angular momentum, inertia constants, parallel axes theorem, principal axes, Euler equations, and modified Euler equations.

Laboratory/tutorial work, assignments and tests up to 30 pages or equivalent. One examination not exceeding three hours. Students will be notified of the weighting of assessment components at the beginning of semester.