CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2023/2024

# Structural Mechanics 3

Code Completion Credits Range Language
132SM3 Z,ZK 5 2P+2C Czech
Corequisite:
Strength of Materials (132PRPE)
Strength of Materials (132PRPE)
Garant předmětu:
Petr Kabele
Lecturer:
Dagmar Jandeková, Petr Kabele, Tomáš Krejčí, Martin Lebeda
Tutor:
Dagmar Jandeková, Petr Kabele, Tomáš Krejčí, Martin Lebeda
Supervisor:
Department of Mechanics
Synopsis:

Deformation and force method for the solution of reactions and internal forces on statically indeterminate beams, frames, and truss structures. Calculation of displacements of beams, frames, and truss structures using the principle of virtual works.

Requirements:

132SM2

Syllabus of lectures:

1. Review degree of static indeterminacy. Basic relations of the theory of beams. Solution of the diff. equation for deflection. Continuous beam - basic idea of displacement method (DM).

2. Simplified Deformation Method (SDM) - Solution of plane frames with rotating-only joints. Formalization. Calculation of deflections.

3. SDM - Reduction of the number of unknowns in the hinged connection of the beam (static condensation). Solution of plane frames with translating floors/columns.

4. DM - Statically indeterminate tension-compression. Solution of statically indeterminate truss structures.

5. General deformation method (GTM) - solution of plane frames.

6. Test I.

7. GDM - Plane frames, effect of prescribed support displacements and temperature changes.

8. SDM and GDM - Summary. Use of symmetry. Static analysis of plane frames using computer programs.

9. Principle of virtual forces (PVf) - Introduction: kinematic and statically allowable states, principle of virtual works (displacements and forces), calculation of displacements on beams in bending, reduction theorem.

10. Principle of virtual forces: refinement and generalization of PVf, indirect loads, calculation of displacements on frame and truss structures.

11. Test II

12. Force Method (FM) - Principle of the force method, choice of basic system, solution of plane frames and truss systems, checking of results.

13. FM - Solution of truss structures.

Syllabus of tutorials:

1. Review: degree of static indeterminacy, internal forces on stat. determinate frames.

2. SDM - Continuous beams.

3., 4. SDM - Plane frames with rotating-only joints. Plane frames with translating floors/columns. Use of static condensation, use of symmetry.

5. DM - Truss structures.

7. GDM - Plane frames (use of symmetry, loading by temperature change or displacement of supports).

8., 9. PVf - Calculation of deflections and rotations of continuous beams, plane frames (also on structures loaded by temperature change or displacement of supports). Compatibility check.

10., 11. FM - Plane frames and truss structures (including loading by temperature change or displacement of supports, use of symmetry).

12. FM - Truss structures.

13. Review, reserve.

Study Objective:

Students will learn to solve reactions and internal forces using the deformation and force method and calculate displacements using the principle of virtual works.

Study materials:

Study aids online:

https://mech.fsv.cvut.cz/homeworks/student/

http://mech.fsv.cvut.cz/wiki/index.php/Department_of_Mechanics:_Student%27s_corner

https://moodle-vyuka.cvut.cz/

Kufner V., Kuklík P.: Stavební mechanika 30. Vydavatelství ČVUT Praha 1998. ISBN: 80-01-01893-8.

Kuklík P., Blažek V., Kufner, V.: Stavební mechanika 40. Vydavatelství ČVUT Praha 2002. ISBN: 80-01-02450-4.

Jirásek M., Konvalinka P.: Statika stavebních konstrukcí I. Vydavatelství ČVUT Praha, 1989.

Bittnar Z., Jirásek M., Konvalinka, P.: Statika stavebních konstrukcí II: Příklady. Vydavatelství ČVUT Praha, 1992. ISBN:80-01-00772-3.

Megson T. H. G.: Structural and Stress Analysis. Jordan Hill, UNITED KINGDOM: Elsevier Science &amp; Technology 2005. ISBN: 978-0-08-045534-1.

Note:
Further information:
https://mech.fsv.cvut.cz/homeworks/student
Time-table for winter semester 2023/2024:
 06:00–08:0008:00–10:0010:00–12:0012:00–14:0014:00–16:0016:00–18:0018:00–20:0020:00–22:0022:00–24:00 roomTH:B-37912:00–13:50(lecture parallel1parallel nr.105)Thákurova 7 (budova FSv)B379roomTH:B-28616:00–17:50(lecture parallel1)Thákurova 7 (budova FSv)B286 roomTH:B-87212:00–13:50(lecture parallel1parallel nr.101)Thákurova 7 (budova FSv)B872roomTH:B-68514:00–15:50(lecture parallel1parallel nr.102)Thákurova 7 (budova FSv)B685 roomTH:B-87312:00–13:50(lecture parallel1parallel nr.103)Thákurova 7 (budova FSv)B873roomTH:B-87514:00–15:50(lecture parallel1parallel nr.104)Thákurova 7 (budova FSv)B875
Time-table for summer semester 2023/2024:
Time-table is not available yet
The course is a part of the following study plans:
Data valid to 2023-08-30
Aktualizace výše uvedených informací naleznete na adrese https://bilakniha.cvut.cz/en/predmet24301405.html