Strength of materials 2

• explain the 3D stress and strain definitions and apply these when formulating the state of stress and strain in a continuum
• apply index notation for Cartesian tensors
• describe the mechanical properties of time independent materials subjected to static, uniaxial tensile load
• determine the state of stress and strain in a loaded (mechanical and/or thermal) continuum using Hooke’s generalized law and strain gauge measures, if any
• explain the conditions for plane stress and plane strain as well as use Hooke’s law for plane stress and plane strain when applicable
• calculate principal stresses and strains and their corresponding principal angles
• determine the state of stress and strain in thick-walled cylinders and plane discs, including use of cylindrical coordinates
• calculate the strain energy in a linear elastic continuum
• apply von Mises’ and Tresca’s yield criteria in order to predict the initiation of plastic yielding and to determine the safety against yielding
• dimension against fatigue failure (“infinite” life), including setting up a reduced Haigh diagram and calculating the safety against fatigue

Cartesian tensors and index notation. 3D stress and strain. Principal values. Strength data of construction materials. Hooke’s generalized law. Plane stress and plane strain. Thick-walled tubes and plane discs. Strain energy. Mechanisms of plastic deformation. Tresca’s and v. Mises’ yield hypotheses. Dimensioning againt fatigue failure, reduced Haigh diagram.

41501, Basic strength of materials including statics, stresses and deformations in beams and bars.

1 module, lectures, problem solving.

The course is included in programme specific courses on the BSc in Mechanical Engineering.