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Advanced Methods in Structural Analysis

Course developer

Prior knowledge

BūvZ2040, Structural Analysis I

BūvZ3078, Structural Analysis II

Fizi2004, Physics I

Fizi2005, Physics II

Mate1021, Mathematics I

Course abstract

The study course introduces students to stress- strain analysis of isotropic and anisotropic materials under different loading conditions. Non-linear elastic, plastic and visco-elastic material behaviour models are being considered, as well as stability and dynamic behaviour of structures, optimisation problems formulation and solving, effective use of materials properties.

Learning outcomes and their assessment

1. Knowledge about models for stress-strain state of materials; ability to introduce material mechanics into structural design, to define problems and critically assess the calculation results.
2. Student is able to choice of reasonable substantiate the calculation model and results credibility on the basis of the knowledge gained.
3. Assessment by results of one workshop, one homework and examination.

Course Content(Calendar)

1. Strains, stresses and internal forces. Materials simulation models. 6h
2. Non-linear elastic, plastic and viscoelastic material. 4h
3. Creep and stress relaxation, material fatique under cyclic loading. 4h
4. Deformation properties of orthotropic elastic layers. 2h
5. Layered material stresses and strains. 4h
6. Design of layered material structures 4h
7. Stability and critical force of structures. 4h
8. Stability of frames, critical force calculation methods.4h
9. Formulation of dynamic design problems. 3h
10. Frames dynamic design by means of deformation method. 3h
11. Optimisation task formulatin in structural analysis. 6h
12. Solving of otimisation problem by MS EXCEL’s tool SOLVER. 4h

Requirements for awarding credit points

Credit test will be enrolled, if student is able to discuss on course problems and calculation results, to justify methods chosen.
It is required positive assessment of workshop presentation, homework and final test.

Description of the organization and tasks of students’ independent work

Workshop with each student short presentation about one of course problems – solving and discussion. Homework (printed out) - optimisation task formulatin and solving. Examination in test mode about course topics.

Criteria for Evaluating Learning Outcomes

Student will have positive assessment of test, if at least 50% of calculation records are correct.
The home work and workshop presentation will be assessed basing on two criteria: 1) fulfilment of task formulated;
2) ability to discuss calculations and substantiate results.

Compulsory reading

1. Carpinteri, Alberto. Advanced structural mechanics. Boca Raton, FL: CRC Press, Taylor & Francis Group, 2017.- 531 p.
2. Fu, Feng: Advanced modelling techniques in structural design.- City University London. Chichester, United Kingdom; Hoboken, New Jersey: John Wiley and Sons, 2015, 258 p.
3. Skudra A., Skudra A. Ievads slāņaino materiālu un konstrukciju mehānikā. Rīga: Rīgas Tehniskā universitāte, 2000. 102 lpp.

Further reading

1. Hulse R., Cain J.A. Structural mechanics: worked examples. R. Hulse, J.A. Cain. Basingstoke: Palgrave Macmillan, 2009. Ir LLU FB 1 eks.
2. Stavridis L. T. Structural systems: behaviour and design. L.T. Stavridis. London: Thomas Telford, 2010. 2 sēj.
3. Busby, Henry R. Structural dynamics: concepts and applications / Henry R. Busby, George H. Staab. - Boca Raton, FL: CRC Press, 2017.- 581 lpp.
4. Gürdal Z., Haftka R.T., Hajela P. Design and Optimization of Laminated Composite Materials. New York: John Wiley & Sons, 1999.

Periodicals and other sources

1. Būvmehānika - palīglīdzeklis studentiem [tiešsaiste]. Pieejams: www.llu.lv/buvmehanika
2. Būvinženieris: Latvijas Būvinženieru savienības izdevums. Rīga: Latvijas Būvinženieru savienība, 2006- ISSN : 1691-9262

Notes

Restricted elective course for the Professional Master's study programme “Civil Engineering”