SOLID MECHANICS 1

Description

This module consists of two components: stress analysis and dynamics. In this module, students will extend their understanding of stress analysis from uni-axial to multi-axial conditions. In dynamics, students will be introduced in to concepts of linear momentum and the mathematical modelling of one- and two-degree of freedom mechanical systems. Indicative content includes: Stress analysis Multiaxial behaviour: stress transformation of two-dimensional stress states; principal stresses; strain and strain gauges; strain transformation and principal strains; multi-axial stress-strain relationship; Poisson's ratio and generalized Hooke's law, and the relationship between shear modulus, Young's modulus and Poisson ratio; introduction to failure criteria according to Rankine, Tresca and von Mises. Stress analysis in mechanical design: uniform torsion, non-uniform torsion and statically indeterminate problems featuring torsion; transmission of power by circular shafts; combined bending and torsion of shafts. Dynamics Principles of displacement, velocity and acceleration; coordinate systems, vectors and vector notation; relative motion; free-body diagrams; conservation of linear momentum, collisions, internal and external forces, impulse and constrained motion; angular momentum of particles; conservation of momentum of rigid bodies, external moments, moments of inertia and constrained motion. Provide students with a basic introduction to the elastic response of solids to externally applied loads, including multi-axial stresses and strains, the stress-strain relationship and failure criteria; Provide students with the fundamental analytical skills to mathematically model the motion of systems of particles and rigid bodies with and without mass and/or external forces. Attributes Developed 001 On successful completion of this module, students will be able to: Design simple components under multi-axial stress states by using a combination of stress analysis and the appropriate failure criteria; KC 002 Idealise simple engineering structures; K 003 Discuss the principle of conservation of momentum and its relevance to physical phenomena and engineering practice; K 004 Solve for the motion of one- and two-degree-of-freedom rigid-body systems with external applied forces; KC 005 Analyse simple dynamic systems. KC