After successful completion of the course, students are able to solve calculation examples that require an understanding of the fundamental concepts of continuum mechanics and strength theory; these include in particular: examples of vector and tensor calculus including basic transformations; equilibrium on point and continuous bodies for static and quasi-static actions; spatial and plane stress state including the formulation and solution of the associated eigenvalue problems; representation of stress states including the Mohr plane, the principal stress space and hydrostatic and deviatoric components; calibration and evaluation of strength criteria for brittle and tough materials; on the spatial and plane distortion state including their derivations from the displacement state, the evaluation of strain gauges in Eulerian and Lagrangian form as well as formulation and solution of the associated eigenvalue problems; on the displacement analysis of homogeneously and inhomogeneously distorted bodies; on the linearised elasticity theory for continuous bodies; on the identification of boundary conditions for the differential equations of the linearised elasticity theory including states of typical superstructures used for laboratory analysis; on the boiler formulae; for the experimental determination of the material parameters of isotropic and anisotropic materials; for the integration and determination of cross-sectional properties of symmetrical and asymmetrical cross-sections including the determination of the shear centre; for the differential equations of extension and flexural members with rigid cross-sections in three-dimensional space including the load set-up and member forces, the solution of these equations for statically determinate and statically indeterminate systems including equilibrium and compatibility at structural points and the derivation of typical stress curves; on the determination of normal bending stresses due to simple and oblique bending including the terms zero line, and understanding of core area and ellipse of inertia; on the determination of shear stresses and shear fluxes due to multi-axial shear forces and torsion in open, single and multi-cell thin-walled cross-sections including the underlying compatibility conditions; on stability problems of ideal and imperfect buckling bars including the differential equations and Euler cases; on the principle of virtual powers in Eulerian and Lagrangian representation.
Calculation with tensors; Equilibrium on the three-dimensional continuum; Spatial and plane stress state; Mohr stress circles and principal stresses; Strength criteria; Spatial and plane distortion state; Hook's law; Orthotropy; Differential relations of beam theory in three-dimensional space; Determination of cross-section values; Oblique bending (normal stresses); Shear stresses due to shear force; Shear stresses due to torsion; Shear centre point; Buckling bars
The class will be given in presence, while also be transmitted via LiveStream - the link can be found on TUWEL.
A preliminary introduction with explanations on the organisation of the VO and UE is scheduled for Wednesday, 5th October 2022, 13h15(s.t.)-14h45 during the first Vorlesung.
More information on the schedule can be found in the calendar, available in the download area.
For questions concerning the lecture contact L. Pircher, A. Razgordanisharahi or H. Höld. Contact details: https://www.imws.tuwien.ac.at/en/home/
In case of interrupted classroom teaching, IMWS-E202 uses TUWEL as primary communication channel. The lecture will be transmitted via LiveStream - the link can be found on TUWEL. Written exams will then also be held via TUWEL.
Two exams in presence. In total, at least 50% of the points are required for passing.
Participation in the substitute exam is ONLY possible when missing one of previous two regular exams.