Course code BūvZ3094

Credit points 2

# Structural Mechanics III

Total Hours in Course80

Number of hours for lectures16

Number of hours for seminars and practical classes16

Independent study hours48

Date of course confirmation16.04.2014

Responsible UnitDepartment of Structural Engineering

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## Bruno Ķirulis

Dr. sc. ing.

### Prior knowledge

BūvZ2042, Structural Mechanics I

Fizi2009, Physics

Mate1031, Mathematics I

Mate2036, Mathematics II

### Course abstract

Arch systems analysis. 3-hinged arch support reactions and internal forces. Elastic displacements in bar systems. Serviceability limit state analysis based on Mohr’s theory. Staticaly determinate and undeterminate systems. Undeterminate system analysis by means of Force method and Displacement method. Automatisation of structural analysis tasks – FE method.

### 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. Arch system models, supports.
2. Geometry of arch systems, axis line definition methods.
3. Support reactions and internal forces of three-hinged arch.
4. Three-hinged arch internal forces calculations from beam bending moment and Q-force diagrams.
5. Elastic displacements in bar systems, structures serviceability limit state analysis.
6. Calculation of elastic displacements, Mohr’s theory.
7. Sympson method for Mohr’s integrals calculation.
8. Statically determinate and undeterminate systems.
9. More significant differences between statically determinate and undeterminate system properties.
10. Statically undeterminate system analysis methods: Force method and Displacements method.
11. Force method equatios system and calculation models.
12. Frame system analysis and internal force diagrams by means of Force method.
13. Displacements method equatios system and calculation models.
14. Effectivity comparison of Force method and Displacements method for different structures models.
15. Structural analysis approximate and numerical methods.
16. FEM – algorithms based structural analysis software.

### 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, 1st test. Beam or frame elastic displacement calculation.
2nd homework, 2nd test. Internal forces in members of statically undeterminate system - Force method or Displacements method.

### 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.

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.