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2022W, VU, 3.0h, 4.0EC

## Properties

• Semester hours: 3.0
• Credits: 4.0
• Type: VU Lecture and Exercise
• LectureTube course
• Format: Presence

## Learning outcomes

After successful completion of the course, students are able to accurately apply the principle of virtual performance to derive structural theories of rod-shaped structures and to solve their differential relationships. Students have deepened their knowledge in the application of second-order bar theory and in dealing with a bar statics program. In particular, students are able to:

- to derive the first-order rigid rod theory with the principle of virtual power,

- derive the transfer relationships for a straight bar with a rectangular cross-section and a linearly variable cross-section height,

- to derive the second-order rigid rod theory with the principle of virtual power,

- to derive the transfer relationships according to the second-order rod theory,

- derive a formula for calculating the effective member reduction due to deflection,

- derive the ideal buckling loads and the associated buckling forms of the Euler cases,

- show the generally valid meaning of the Dischinger factor,

- apply the rotation angle method for immovable and moveable systems according to the second-order bar theory,

- derive and apply buckling length diagrams for movable and immovable frameworks,

- carry out the stability analysis of a two-span bar with a displacement spring in the middle of the span,

- structural analysis of ground-anchored suspension bridges,

- to derive the rigid arc theory of the first order with the principle of virtual power,

- to derive the transfer relationships for a circular arc,

- to use a structural analysis program accurately,

- to determine internal and displacement variables on the basis of spring models according to the 1st and 2nd order theory,

- to analyze three-dimensional structures according to the 1st and 2nd order theory with a beam statics program.

Please note that this lecture is tought in german language, the lecture notes are written in german, and also the examinations (both written tests and oral examinations) require advanced knowledge of the german language.

## Subject of course

Derivations of structural theories for bar-shaped building constructions, conveying the theoretical basics, their application and application limits are discussed. In the exercise units, examples are also calculated both manually and with a structural analysis program.

The course content consists of the following topics:

Derivation of the basic equations of selected structural theories with the principle of virtual power:

- Basic equations of the rigid rod theory of the first order

- Basic equations of the second-order rigid rod theory

- Basic equations of the rigid arc theory of the first order

Differential relationships of selected structural theories (transference relationships):

- Transfer relationships for members with linearly changing cross-section height according to member theory of the first order

- Transfer relations according to the second-order rod theory

- Transfer relationships according to arc theory of the first order

Stability problems of the second-order rod theory:

- Stability analysis of the four Euler cases (solution of the differential equations)

- frame stability analysis,

- Stability analysis of individual bars supported on springs

- Determination of buckling loads, buckling lengths and buckling shapes

- Determination of pre-deformations

- Determination of the effective shortening of members due to deflection

Determination of internal forces according to second-order theory:

- Determination of internal forces using the angle of rotation method according to the second-order theory

- Determination of internal forces for single-span, earth-anchored suspension bridges

- Determination of internal forces according to 1st and 2nd order theory using spring models

Three-dimensional structural analysis using a bar statics program

Please note that this lecture is tought in german language, the lecture notes are written in german, and also the examinations (both written tests and oral examinations) require advanced knowledge of the german language.

## Teaching methods

Derivation of structural theories for bar-shaped building constructions, imparting the theoretical basics and the application limits, calculation of examples, deepening the application of a bar statics program, system analysis from the observation.

Please note that this lecture is tought in german language, the lecture notes are written in german, and also the examinations (both written tests and oral examinations) require advanced knowledge of the german language.

## Mode of examination

Immanent

Registration is requested at TISS!

Assignment in the master’s degree in civil engineering (study reference number: 066 505):

- Module 1 of the examination subject: Structural Engineering – Theory and Simulation (M1)

- Module 3 of the examination subject: supplementary training (M3)

The course takes place in presence mode. The exchange of information between lecturers and students takes place via the TUWEL course of the course. In order to gain access to the TUWEL course from the start of the semester, a non-binding electronic registration in the TISS is required. Documents will be made available via the TUWEL course mentioned. This includes the examination regulations, the schedule of the semester, the presentation slides on the theoretical basics, the presentation slides on the exercises, the catalog of questions on the oral exam, the presentation slides of the revision courses, information and elaborations on past exams, etc. In the run-up to oral examinations, revision courses are System analysis offered from the perspective. exam mode For admission to the oral examination in Structural Analysis 2 VU, at least half of the maximum total number of points that can be achieved from the 6 home exercises (with a statics program), the 3 home programs (manually) and the written exam must be achieved. In the oral examinations, particular importance is attached to understanding the subject matter, a profound conceptual overview of theoretical basics and the accurate use of the technical vocabulary of structural engineering, see the examination regulations: https://www.imws.tuwien.ac.at/lehre/ examinations/examination regulations. Oral exams are held as face-to-face exams in the lecture hall. After the ID check, the oral exam begins. The first exam question relates to the system analysis from the perspective, the second to the theoretical foundations of structural analysis. Students have to verbally answer the questions using the technical vocabulary of structural engineering and explain graphic solutions step-by-step. Exam content that has already been discussed is displayed by the examiners by clicking on the PowerPoint presentation, which is shared via the beamer in the examination room.

If the system analysis is not judged positively from the perspective, the oral examination will be interrupted until one of the subsequent examination dates. In this case, a new registration is required, whereby the registration and deregistration deadlines specified in the examination regulations must be observed. The continuation of the oral examination takes place again with a system analysis from the observation. If this is assessed negatively again, a corresponding course certificate will be issued. If the system analysis is answered positively as part of a continued oral examination, further questions are asked about the theoretical foundations of the lecture material. Required technical equipment for participation in the course and examination: For written exams, students need paper, writing implements and equipment for technical drawings (ruler, compass, etc.). The use of programmable calculators is permitted. Oral attendance tests do not require any special technical equipment. certificate of achievement The performance record of the Structural Analysis 2 course is regulated under "Examination mode" and in the examination regulations, see https://www.imws.tuwien.ac.at/lehre/pruefungen/pruefungsordnungen/. The proof of performance for the face-to-face course corresponds to the proof of performance for the online course.

## Course dates

DayTimeDateLocationDescription
Thu09:00 - 12:0006.10.2022Hörsaal 14 Repetitorium zur Einstiegsfrage
Thu15:00 - 17:0006.10.2022 - 26.01.2023HS 7 Schütte-Lihotzky - ARCH Vorlesung
Thu09:00 - 12:0013.10.2022 - 12.01.2023Hörsaal 15 Übung
Thu09:00 - 12:0024.11.2022Seminarraum AE U1 - 2 Repetitorium zur Einstiegsfrage
Thu12:00 - 15:0019.01.2023HS 7 Schütte-Lihotzky - ARCH Repetitorium zur Einstiegsfrage
Thu14:00 - 17:0002.03.2023HS 14A Günther Feuerstein Ersatzklausur
Thu09:00 - 12:0009.03.2023HS 7 Schütte-Lihotzky - ARCH Repetitorium zur Einstiegsfrage
Fri12:00 - 15:0005.05.2023Hörsaal AE U1 - 1 - CEE Repetitorium zur Einstiegsfrage
Thu09:00 - 12:0010.08.2023Hörsaal 15 Repetitorium zur Einstiegsfrage
Structural analysis - static 2 - Single appointments
DayDateTimeLocationDescription
Thu06.10.202209:00 - 12:00Hörsaal 14 Repetitorium zur Einstiegsfrage
Thu06.10.202215:00 - 17:00HS 7 Schütte-Lihotzky - ARCH Vorbesprechung & Vorlesung
Thu13.10.202209:00 - 12:00Hörsaal 15 Übung
Thu13.10.202215:00 - 17:00HS 7 Schütte-Lihotzky - ARCH Vorlesung
Thu20.10.202209:00 - 12:00Hörsaal 15 Übung
Thu20.10.202215:00 - 17:00HS 7 Schütte-Lihotzky - ARCH Vorlesung
Thu27.10.202209:00 - 12:00Hörsaal 15 Übung
Thu27.10.202215:00 - 17:00HS 7 Schütte-Lihotzky - ARCH Vorlesung
Thu03.11.202209:00 - 12:00Hörsaal 15 Übung
Thu03.11.202215:00 - 17:00HS 7 Schütte-Lihotzky - ARCH Vorlesung
Thu10.11.202209:00 - 12:00Hörsaal 15 Übung
Thu10.11.202215:00 - 17:00HS 7 Schütte-Lihotzky - ARCH Vorlesung
Thu17.11.202209:00 - 12:00Hörsaal 15 Übung
Thu17.11.202215:00 - 17:00HS 7 Schütte-Lihotzky - ARCH Vorlesung
Thu24.11.202209:00 - 12:00Seminarraum AE U1 - 2 Repetitorium zur Einstiegsfrage
Thu24.11.202209:00 - 12:00Hörsaal 15 Übung
Thu24.11.202215:00 - 17:00HS 7 Schütte-Lihotzky - ARCH Vorlesung
Thu01.12.202209:00 - 12:00Hörsaal 15 Übung
Thu01.12.202215:00 - 17:00HS 7 Schütte-Lihotzky - ARCH Vorlesung
Thu15.12.202209:00 - 12:00Hörsaal 15 Übung

## Examination modalities

Please note that this lecture is tought in german language, the lecture notes are written in german, and also the examinations (both written tests and oral examinations) require advanced knowledge of the german language.

## Exams

DayTimeDateRoomMode of examinationApplication timeApplication modeExam
Tue08:00 - 17:0015.10.2024Seminarraum AA 02 – 1 oral23.09.2024 08:00 - 11.10.2024 08:00TISSmündliche Baustatik 2 Prüfung 15.10.2024
Tue08:00 - 17:0003.12.2024Seminarraum AA 02 – 1 oral11.11.2024 08:00 - 29.11.2024 08:00TISSmündliche Prüfung Baustatik 2 03.12.2024
Tue08:00 - 17:0021.01.2025Seminarraum AA 02 – 1 oral30.12.2024 08:00 - 17.01.2025 08:00TISSmündliche Prüfung Baustatik 2 21.01.2025
Tue08:00 - 17:0011.03.2025Seminarraum AA 02 – 1 oral17.02.2025 08:00 - 07.03.2025 08:00TISSmündliche Prüfung Baustatik2 11.03.2025
Tue08:00 - 17:0013.05.2025Seminarraum AA 02 – 1 oral21.04.2025 08:00 - 09.05.2025 08:00TISSmündliche Prüfung Baustatik 2 13.05.2025
Tue08:00 - 17:0024.06.2025Seminarraum AA 02 – 1 oral02.06.2025 08:00 - 20.06.2025 08:00TISSmündliche Baustatik 2 Prüfung 24.06.2025

## Course registration

Begin End Deregistration end
09.09.2022 00:00 14.10.2022 00:00

## Curricula

Study CodeObligationSemesterPrecon.Info
066 505 Civil Engineering Science Not specified

## Literature

Vortragsfolien werden via TUWEL verfügbar gemacht.

## Previous knowledge

Profound knowledge of mathematics, mechanics, strength of materials, and structural analysis is recommended.Please note that this lecture is tought in german language, the lecture notes are written in german, and also the examinations (both written tests and oral examinations) require advanced knowledge of the german language.

German