436-302 Mechanics of Rigid and Deformable Bodies

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Objectives:

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.

Content:

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, basic problems in inelastic deformation. Kinematics: Motion of particle in terms of inertial frame. Motion of particle in terms of transplanting and rotating frame. Matrix of directional cosines. Euler's angles. Angular velocity and angular acceleration. Coriolis statement. Motion of a rigid body. Kinetics of system of particles. Linear and angular momentum. Inertia constants. Parallel axes theorem. Principal axes.

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