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Structural Analysis I

Course developer

Prior knowledge

BūvZ2048, Basic Theory of Structures

Fizi2004, Physics I

Fizi2005, Physics II

Mate1021, Mathematics I

Replaced course

BūvZB018 [GBUVB018] Structural Analysis I

Course abstract

The study course introduces students to types of statistically determinate structures (beams, trusses, three hinged frames and arches), principles of geometric stability, defining of design models, the calculation methods applicable to static analysis regarding both internal forces and displacements. Topic on determination of unfavourable loading situation of structure (beams and trusses) is acquired mastering the drafting of influence lines.

Learning outcomes and their assessment

1. Student knows the basic principles of mechanics and physics applied for design of structures; student is familiar with mechanical properties of structures regarding the main determinating parameters, their dimensions and limit values, – tests Nr 1 and 2.
2. Student is able to choose the calculation model according to actual, real structure; to formulate the design task, as well as to verify the results by means of alternate model calculations– workshops and homeworks.
3. Student is able to reasonable substantiate the calculation model choice and results credibility on the basis of the knowledge gained,- tests Nr 1 and 2 and homeworks

Course Content(Calendar)

1. Classification of structures. Task defined for structural analysis. Design models, supports, kinematic and static definitions. 2 h.
2. Arrangement and organization of elements in structure. Determination of the degree of freedom. Geometric stability of system. 4 h.
3. Geometric stable systems design principles. 2 h.
4. Geometric stable multi span beams structures. Calculation of multi span beams support reactions and internal forces. 4 h.
5. Influence lines of multi span beams support reactions and internal forces. 3 h.
6. Calculation of truss member forces. Method of joints. 3 h.
7. Calculation of truss member forces. Method of sections. 3 h.
8. Influence lines of truss member forces. 2 h.
9. Determination of truss member forces and unfavourable loading by means of influence lines. 4 h.
10. Determination of internal forces in the plane frame section, frame sections dimensioning according to Ultimate Limit State criteria. 3 h.
11. Plane frame force diagrams and checking for static equilibrium in nodes of plane frame. 2 h.
12. Composition of three hinged arches, equations for axis configuration. Aches with and without tie beam. Equations of static equilibrium for calculation of support reactions. Definition of internal forces in the section of arch. 4 h.
13. Calculation of internal forces in the section of arch using beam internal force diagrams. 3 h.
14. Virtual work of forces and displacement of particle. Elastic potential energy of a system. Principle of virtual work. Theorem of superposition. Mohr’s theory. 3 h.
15. Using of numerical calculation formulaes for determination of elastic displacements in plane systems. 4 h.
16. Influence of physical and geometric nonlinearity to results of structural analysis. 2 h.

Requirements for awarding credit points

Credit test will be enrolled, if student know basic definitions of static, and he/she is able to discuss on results of calculations, to justify methods chosen and to prove the static equilibrium of internal and external forces.
It is required positive assessment of tests.

Description of the organization and tasks of students’ independent work

1st homework, 1 st test. Calculation of support reactions and internal forces in members of hinged truss. Use of influence lines to determinate unfavourable loading.
2nd homework, 2nd test. Frame internal force diagrams, dimensioning according to ULS criteria, check of SLS criteria.

Criteria for Evaluating Learning Outcomes

Student will have positive assessment of test, if at least 50% of calculation records are correct. The home work will be assessed basing on two criteria: 1) fulfilment of equilibrium conditions between internal and external forces and correct force diagramms; 2) ability to participate in conversation on calculations and results.

Compulsory reading

Bulavs F., Radiņš I. Būvmehānikas ievadkurss. Rīga: RTU izdevniecība, 2010. 250 lpp.
2. Melderis I., Teters G. Būvmehānika: mācību grāmata. Rīga: Zvaigzne, 1977. 560 lpp.
3. Siliņš L. Būvstatika: mācību grāmata. Rīga: Zvaigzne, 1976. 232 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. McKenzie, William M. C. Examples in structural analysis/ William M.C. McKenzie.- 2nd edition. - Boca Raton, FL: CRC Press, 2017., 819 p.

Periodicals and other sources

1. Būvmehānika - palīglīdzeklis studentiem [tiešsaiste], [skatīts 10.04.2018.]. Pieejams: www.llu.lv/buvmehanika
2. Būvinženieris: Latvijas Būvinženieru savienības izdevums. Rīga: Latvijas Būvinženieru savienība, 2006- ISSN : 1691-9262

Notes

Compulsory Course for the Professional Bachelor’s study programme “Civil Engineering”