1 x 2-hour lecture weekly
1 x 2-hour tutorial weekly
2 x 2-hour practicals per semester
Enrolment not permitted
1 of ENGR3751, ENGR8811 has been successfully completed
Assumed knowledge
Several variable calculus, vector calculus, linear algebra. As well as knowledge such as can be obtained in ENGR2711 Engineering Mathematics or ENGR8761 Engineering Mathematics GE and knowledge such as can be obtained in ENGR2741 Mechanics and Structures or ENGR8791 Mechanics and Structures GE.
Topic description

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).

Educational aims

This topic aims to give students an understanding of the advanced mechanics of solids and the implications for mechanical design.

Expected learning outcomes
On completion of this topic you will be 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
  5. Apply research methods to quantitatively understand the latest theoretical advancements of a selection of concepts studied from items 1-4 above