ENGR3751 Solid Mechanics

2020

4.5

1 x 2-hour lecture weekly
1 x 2-hour tutorial weekly
2 x 2-hour practicals per semester

1 ^ ENGR2711 - Engineering Mathematics
2 ENGR2741 - Mechanics and Structures
Must Satisfy: (1 and 2)

1 of ENGR8811, ENGR9811 has been successfully completed

Analysis of Stress (stresses on inclined sections, variation of stress within a body, plane and three-dimensional stress transformation, principal stresses, normal and shear stresses on an oblique plane, Mohr's circle in three dimensions), Strain and Material Properties (equations of compatibility, state of strain at a point, elastic vs plastic behaviour, generalised Hooke's Law, Saint-Venant’s principle), Problems in Elasticity (fundamental principles of analysis, plane strain/stress problems, comparison of two-dimensional isotropic problems, Airy's stress function, solution of elasticity problems, stresses due to concentrated loads, stress concentration factors), Failure Criteria (yield and fracture criteria, maximum shearing stress theory, maximum distortion energy theory, octahedral shearing stress theory, maximum principal stress theory, Mohr's theory, Coulomb-Mohr theory, failure criteria for metal fatigue, impact or dynamic loads), Bending of Beams (exact and approximate solutions), Torsion of Prismatic Bars (elementary theory of torsion of circular bars, general solution of the torsion problem, Prandtl's stress function and membrane analogy, torsion of narrow rectangular cross section and multiply connected thin-walled sections).

To develop student's understanding of the advanced mechanics of solids and the implications for mechanical design.

At the completion of the topic, students are expected to be able to:

1. Understand the relevance of strength and stiffness aspects of engineering structures and components
2. Calculate elastic and inelastic stresses, deflections in simple and compound beams, stresses and displacements in pressure vessels
3. Analyse torsion of non-circular cross-sections, stresses and deflections of flat plates and shear stresses in thin-walled sections
4. Understand the role of solid mechanics in engineering analysis and design