After successful completion of the course, students are able to to explain fundamental concepts of continuum mechanics and strength theory and accordingly derive theoretical relationships between essential physical quantities. In particular, after the introduction of volume and surface force densities, the students are able to derive the following laws from the integral representation of the equilibrium of forces in a continuous body: the cut principle, Cauchy's fundamental theorem (tetrahedron lemma) with the symmetrical stress tensor, as well as the local equilibrium conditions. The students can explain the meaning of principal stresses and normal as well as shear stresses on arbitrarily located surface elements using Mohr's circles, as well as the role that these quantities and of stress invariants in general play in the development of strength criteria. In this context, they can explain the areas of application of the criteria according to von Mises, Drucker-Prager, Rankine, Tresca, Mohr-Coulomb, as well as a plane anisotropic strength criterion. The students know the concepts of the reference and moment system and can derive displacement gradient tensors and distortion tensors (Green-Lagrange, linearised form) from these layers; using working and power principles, they can link the linearised distortion tensors with stress tensors (elastic energy, symmetry of elasticity tensors). Furthermore, they can derive different bar theories (strain, bending, torsion, buckling) from the 3D continuum theory using the principle of virtual powers, and thus establish relationships between stresses and stress resultants (normal forces, transverse forces, moments). Furthermore, the students can solve numerical tasks for the above-mentioned concepts.
Equilibrium on the continuum; stress tensor; strength criteria; deformation of the continuum; distortion tensor; work; energy; elasticity; principle of virtual powers; isotropy-anisotropy-orthotropy; theory of extension bars; theory of trusses; theory of slender bending bars; theory of torsion bars; theory of buckling bars
The lectures and excercises are being held in hybrid form, meaning they are held in presence, while also being transmitted via LiveStream - the link can be found on TUWEL.
The first lecture is scheduled for Wednesday, 5th October 2022, 13h15(s.t.)-14h45.
Also, on Wednesday, 05th October 2022, and Thursday 6th October 2022 15h15(s.t.)-16h45, there will each be an additional VO (instead of the UE). More information on the schedule can be found in the calender, available in the download area.
For questions concerning the lecturecourses contact L. Pircher, A. Razgordanisharahi or H. Höld. Contact details: https://www.imws.tuwien.ac.at/en/home/
In case of suspensions of the classroom teaching, IMWS-E202 uses TUWEL as primary communication channel. The lectures will be transmitted via LiveStream - the link can be found on TUWEL. Written exams will then also be held via TUWEL.
Password TUWEL-Course: fest
Written and oral exam in presence
Participation in the oral exam is only possible after successfully passing the written exam. Seperate registration via TISS required.
Documents will be available online via TUWEL.
Additional Literature:
Mang, H.A, and Hofstetter, G.: Festigkeitslehre, Springer
