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2022W, UE, 2.5h, 2.5EC

## Properties

• Semester hours: 2.5
• Credits: 2.5
• Type: UE Exercise
• LectureTube course
• Format: Presence

## Learning outcomes

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.

## Subject of course

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

## Teaching methods

lectures; presentation of full-text lecture notes with formulae and numerical exercises; interactive questioning; Q&A sessions only with advanced notification

## Mode of examination

Immanent

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.

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.

## Course dates

DayTimeDateLocationDescription
Wed15:00 - 17:0012.10.2022 - 25.01.2023HS 8 Heinz Parkus - CEE Übungs-Vorträge
Thu15:00 - 17:0013.10.2022 - 19.01.2023HS 8 Heinz Parkus - CEE Übungs-Vorträge
Fri16:00 - 19:0002.12.2022HS 8 Heinz Parkus - CEE 1. Kolloquium (Paralleltermin)
Fri16:00 - 19:0002.12.2022EI 3 Sahulka HS - UIW 1. Kolloquium (Paralleltermin)
Fri16:00 - 19:0002.12.2022EI 10 Fritz Paschke HS - UIW 1. Kolloquium (Paralleltermin)
Fri16:00 - 19:0002.12.2022Hörsaal AE U1 - 1 - CEE 1. Kolloquium (Paralleltermin)
Thu17:00 - 18:0012.01.2023Seminarraum AA 02 – 1 Einsichtnahme 1. Kolloquium
Thu16:00 - 19:0026.01.2023HS 8 Heinz Parkus - CEE 2. Kolloquium (Paralleltermin)
Thu16:00 - 19:0026.01.2023EI 3 Sahulka HS - UIW 2. Kolloquium (Paralleltermin)
Thu16:00 - 19:0026.01.2023EI 10 Fritz Paschke HS - UIW 2. Kolloquium (Paralleltermin)
Thu16:00 - 19:0026.01.2023Hörsaal AE U1 - 1 - CEE 2. Kolloquium (Paralleltermin)
Thu09:00 - 10:0016.02.2023Seminarraum AA 02 – 1 Einsichtnahme Kolloquium
Mon12:00 - 15:0006.03.2023HS 8 Heinz Parkus - CEE Ersatzkolloquium
Mon12:00 - 15:0006.03.2023GM 4 Knoller Hörsaal - VT Ersatzkolloqium
Mon14:00 - 15:0013.03.2023Seminarraum AA 02 – 1 Einsicht Ersatzkolloquium
Strength of Materials - Single appointments
DayDateTimeLocationDescription
Wed12.10.202215:00 - 17:00HS 8 Heinz Parkus - CEE Übungs-Vorträge
Thu13.10.202215:00 - 17:00HS 8 Heinz Parkus - CEE Übungs-Vorträge
Wed19.10.202215:00 - 17:00HS 8 Heinz Parkus - CEE Übungs-Vorträge
Thu20.10.202215:00 - 17:00HS 8 Heinz Parkus - CEE Übungs-Vorträge
Thu27.10.202215:00 - 17:00HS 8 Heinz Parkus - CEE Übungs-Vorträge
Thu03.11.202215:00 - 17:00HS 8 Heinz Parkus - CEE Übungs-Vorträge
Wed09.11.202215:00 - 17:00HS 8 Heinz Parkus - CEE Übungs-Vorträge
Thu10.11.202215:00 - 17:00HS 8 Heinz Parkus - CEE Übungs-Vorträge
Wed16.11.202215:00 - 17:00HS 8 Heinz Parkus - CEE Übungs-Vorträge
Thu17.11.202215:00 - 17:00HS 8 Heinz Parkus - CEE Übungs-Vorträge
Wed23.11.202215:00 - 17:00HS 8 Heinz Parkus - CEE Übungs-Vorträge
Thu24.11.202215:00 - 17:00HS 8 Heinz Parkus - CEE Übungs-Vorträge
Wed30.11.202215:00 - 17:00HS 8 Heinz Parkus - CEE Übungs-Vorträge
Thu01.12.202215:00 - 17:00HS 8 Heinz Parkus - CEE Übungs-Vorträge
Fri02.12.202216:00 - 19:00HS 8 Heinz Parkus - CEE 1. Kolloquium (Paralleltermin)
Fri02.12.202216:00 - 19:00EI 3 Sahulka HS - UIW 1. Kolloquium (Paralleltermin)
Fri02.12.202216:00 - 19:00EI 10 Fritz Paschke HS - UIW 1. Kolloquium (Paralleltermin)
Fri02.12.202216:00 - 19:00Hörsaal AE U1 - 1 - CEE 1. Kolloquium (Paralleltermin)
Wed07.12.202215:00 - 17:00HS 8 Heinz Parkus - CEE Übungs-Vorträge
Wed14.12.202215:00 - 17:00HS 8 Heinz Parkus - CEE Übungs-Vorträge

## Examination modalities

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.

## Course registration

Begin End Deregistration end
19.09.2022 10:00 26.01.2023 23:59 26.01.2023 22:59

### Registration modalities

Registration is required for participation in the written exams as well as for access to the TUWEL-course. A certificate will be issued after participation in at least one exam.

## Curricula

Study CodeObligationSemesterPrecon.Info
033 265 Civil Engineering Mandatory3. Semester
Course requires the completion of the introductory and orientation phase

## Literature

Documents will be available online via TUWEL. For access to the TUWEL-course a registration to this exercise is required.

## Previous knowledge

Knowledge from lectures Mathematics 1 and 2, as well as Building Mechanics and Mechanics 1 adviseable.

German