436-302 Mechanics of Rigid and Deformable Bodies

Credit Points

Coordinator

Prerequisites

436-201 Introduction to Dynamics, 421-201 Introduction to Mechanics of Solids and 200-level Mathematics

Semester

Contact

Subject Description

On completion of this subject students should; understand the principles of energy methods as applied to solving a variety of problems in elasticity, including statically indeterminate one. Comprehend the nature of inelastic deformation and its basic governing laws together with their application to simple manufacturing processes. Understand the principles of three-dimensional mechanics. Be able to carry out kinematic analysis of mechanical systems.

Topics covered includes; 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, testing methods and basic problems in inelastic deformation. Kinematics: 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.

Assessment

Laboratory/tutorial work, assignments and tests up to 20 pages equivalent. One examination not exceeding three-hours