Course code BūvZ2043

Credit points 2

# Structural Mechanics II

Total Hours in Course80

Number of hours for lectures16

Number of hours for seminars and practical classes16

Independent study hours48

Date of course confirmation10.03.2021

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

### Course abstract

The study course continues the course Structural Mechanics I. The conditions of geometric stability of bar systems. Multi-span beam analysis. Internal forces in trusses. Influence lines method. Modelling and analysis of frames. The dimensioning of beam, truss and frame element sections according to the limit states method.

### Learning outcomes and their assessment

1. Student is able to design the stable statically determinate trusses and frames and to analise the sectional forces and stresses – tests Nr 1 and 2.
2. 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. Displacements of rigid body on plane and in space. Degrees of freedom.(2hr)
2. Structure of bar systems. Geometric stability of system.(2hr)
3. Analytical conditions of geometric stability of system.(1hr)
4. Modelling of determinate multi span beams, checking for geometric instability. Calculation of support reactions and internal forces.(3hr)
5. Internal forces in the sections of multi-span beam.(2hr)
6. Influence lines method. Influence lines of support reactions of multi span beam. Determination of internal forces. (2hr)
8. Structure types of statically determinate trusses.(1hr)
9. Analysis of member forces in trusses by means of joint equlibrium method.(2hr)
10. Analysis of member forces in trusses by means of section method.(3 hr)
11. Influence lines method for trusses. (1 hr)
12. Determination unfavourable loading of truss by means of influence lines.(3 hr)
13. Joint types in system: truss joints and frame joints.(2 hr)
14. Frames and their supports: beam type frames and frames with horizontal reaction.(1 hr)
15. Frame analysis and internal forces. (13 hr)
16. Dimensioning of beam, truss- and frame systems according to Ultimate Limit State conditions.(2hr)

### 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. Calculation of support reactions, internal forces in sections, draft of force diagramms.
2nd homework. Calculation of support reactions and internal forces in members of hinged truss. Use of influence lines to determinate unfavourable loading.

### 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.