Course code BūvZ2042

Credit points 1

# Structural Mechanics I

Total Hours in Course40

Number of hours for lectures8

Number of hours for seminars and practical classes8

Independent study hours24

Date of course confirmation16.04.2014

Responsible UnitDepartment of Structural Engineering

### Course developer

Būvkonstrukciju katedra

## Bruno Ķirulis

Dr. sc. ing.

### Prior knowledge

Fizi2009, Physics

Mate1031, Mathematics I

### Course abstract

The course is aimed for mastering the basic knowledge on static equilibrium of structures and elements under external actions (loads). General conceptions of statics. Loads. Supports and reactions. Static equilibrium. Definitions of internal forces, method of section. Stresses and strains in material under tension/compression/bending. Houkes law, theory of normal bending. Dimensioning of cross-section of beam according to strength and stiffness conditions.

### Learning outcomes and their assessment

1. 1) static’s axioms and basic theorems, 2) geometric stability and definition of a design model more adequate to real structure, 3) static equilibrium and method of section for calculation of internal forces, 4) normal bending, stress analysis, – 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. General problems of structural mechanics.
2. Vectors and operations with vectors.
3. Axioms of statics.
4. Joints and supports. Active and passive forces.
5. In-Plane force systems: components and projections. Moments of forces. Equilibrium conditions.
6. Distributed forces. Varignon theorem.
7. Calculation models of structures. Model examples.
8. Method of sections, forces in members cut.
9. Tension/Compression forces, stresses and strains. Hookes law. Modulus of Elasticity.
10. Materials stress/strain diagrams and characteristic values. Strength, elasticity, plasticity.
11. Stability of compressed element and critical force.
12. Stresses at the section of beam in bending.
13. Beam’s stresses and deformations in bending, geometry characteristics of section.
14. Internal force diagrams; relation between bending moment and shear force.
15. Design of beams loaded in bending.
16. Design of beams according to Limit Sates.

### 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.
2nd homework. Forces in sections, draft of force diagramms.

### 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.

1. Ziemelis I., Kaķītis A., Dominieks L. Materiālu pretestība. Jelgava: LLU, 2008. 376 lpp. 2. Kepe O., Vība J. Teorētiskā mehānika. Rīga: Zvaigzne, 1982. 577 lpp. 3. Bulavs F., Radiņš I. Būvmehānikas ievadkurss. Rīga: RTU izdevniecība, 2010. 4. Sozen M. A., Ichinose T. Understanding structures: an introduction to structural analysis. Boca Raton, FL: CRC Press, 2009.