ENGR3751 Solid Mechanics - Flinders University

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Overview

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, … For more content click the Read More button below.

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).

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Tuition pattern

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Aims

This topic aims to develop student's understanding of the advanced mechanics of solids and the implications for mechanical design.

Learning outcomes

On completion of this topic you will be expected to be able to:

Calculate three-dimensional elastic stresses and strains at a point, within a body and on inclined planes in prismatic and non-prismatic sections

Formulate plane stress/plane strain solutions, derive solutions using the theory of elasticity, compare exact and approximate solutions, analyse stresses due to concentrated loads and stress concentration factors

Understand the relevance of strength and stiffness aspects of engineering structures and components and their failure criteria

Understand the role of solid mechanics in engineering analysis and design

Assessments

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Requisites information

Pre-requisites:

Anti-requisites:

Handbook

Solid Mechanics

ENGR3751