CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2024/2025

# Structural Mechanics 2

Code Completion Credits Range Language
132SM02 Z,ZK 6 2P+2C Czech
Vztahy:
The course 132SM02 can be graded only after the course 132SM01 has been successfully completed.
In order to register for the course 132SM02, the student must have registered for the course 132SM01 no later than in the same semester.
The course 132PRPE can be graded only after the course 132SM02 has been successfully completed.
In order to register for course 132PRPE, the student must have registered for course 132PRPE in a previous semester or in the same semester.
Garant předmětu:
Michal Polák
Lecturer:
Jan Sýkora
Tutor:
Jitka Němečková, Jan Sýkora
Supervisor:
Department of Mechanics
Synopsis:

Internal forces diagrams of simple statically determinate plane structures and compound two-dimensional structures. Multiaxially loaded cantilever. Definition of normal stress and prepositions of its distribution in a cross section. Equivalence of internal forces. Geometry of mass and areas, centre of gravity and moments of inertia.

Requirements:

Before taking exam in 132SM02, it is required that students pass the exam in 132SM01.

Syllabus of lectures:

1) Introduction, definition and principle of calculation of internal forces in the selected cross-section of a beam.

2) Load transfer on the centre line of the beam, calculation of the internal forces on the three-dimensional straight beam and the three-dimensional cranked beams.

3) Calculation of the internal forces in the cross-section of an inclined beam and a plane frame beam structure, equilibrium in the joints of the frame beam structure.

4) Differential relationships between the internal forces and the loads for the straight plane beam and three-dimensional beam.

5) The functions of internal forces on the plane straight beam structure, extremes of the internal forces.

6) The functions of the internal forces on the plane inclined beam structure.

7) The internal force diagrams on the plane simple frame beam structures and on the plane complex frame beam structures.

8) The functions of the internal forces on the beam with a curved centre line, the parabolic and circular centre line.

9) The internal forces diagrams on symmetrical structures loaded with symmetrical loads.

10) The centre of gravity and moments of inertia of the cross sections, transformation of moments of inertia.

11) The principal central moments of inertia of the cross section, the ellipse of inertia.

Syllabus of tutorials:

1) Principle of marking the internal forces, calculation of the internal forces (bending moment M, normal force N, shear force V) in the cross-section of a straight beam structure.

2) Load transfer on the centre line of the beam, calculation of M, N, V in the cross-section of the three-dimensional straight beam and the three-dimensional cranked beams.

3) Calculation of M, N, V in the cross-section of an inclined beam and a plane frame beam structure, equilibrium in the joints of the frame beam structure.

4) The M, N, V diagrams on a plane straight beam – uniformly distributed load, triangular distributed load, trapezoidal distributed load, extremes of the internal forces.

5) The M, N, V diagrams on the plane frame beam structure - uniformly distributed load, triangular distributed load, trapezoidal distributed load, extremes of the internal forces, equilibrium in the joints of the frame beam structure.

6) The M, N, V diagrams on the plane frame structure with inclined beams.

7) The M, N, V diagrams on the plane complex frame beam structures.

8) The M, N, V diagrams on the beam with a curved centre line.

9) The M, N, V diagrams on a generally loaded three-dimensional straight beam.

10) The centre of gravity and moments of inertia of the composite cross sections, the principal central moments of inertia, the ellipse of inertia of the composite cross-sections.

11) The centre of gravity and moments of inertia of the composite cross sections, the principal central moments of inertia, the ellipse of inertia of the composite cross-sections.

Study Objective:

Student will be able to solve internal forces diagrams of statically determinate plane structures and multiaxially loaded cantilevers and to determine second moments of area.

Study materials:

!Jíra, A. a kolektiv: Sbírka příkladů stavební mechaniky. ČVUT, Praha, 2019, ISBN:978-80-01-06301-9 (it is currently available online on: http://mech.fsv.cvut.cz/wiki/images/6/67/Sbirka_prikladu_SUK.pdf).

! Kufner, V., Kuklík, P.: Stavební mechanika 20, Vydavatelství ČVUT, Praha, 1998, ISBN 80-01-01523-8.

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

! Kufner, V., Kuklík, P.: Stavební mechanika 10, Vydavatelství ČVUT, Praha, 1998, ISBN 80-01-01398-7.

? Beer F. P., Johnston Jr. E. R., Mazurek D.: Vector Mechanics for Engineers: Statics 11th Edition, McGraw-Hill Education, 2016, ISBN 978-0077687304.

: Study materials on the website of the department: https://mech.fsv.cvut.cz/student/

Note:
Further information:
https://mech.fsv.cvut.cz/homeworks/student/support/SM02.html
Time-table for winter semester 2024/2025:
 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:C-20210:00–11:50(lecture parallel1)Thákurova 7 (budova FSv)C202roomTH:B-68612:00–13:50(lecture parallel1parallel nr.105)Thákurova 7 (budova FSv)B686 roomTH:B-47808:00–09:50(lecture parallel1parallel nr.101)Thákurova 7 (budova FSv)B478roomTH:B-87210:00–11:50(lecture parallel1parallel nr.102)Thákurova 7 (budova FSv)B872 roomTH:A-43408:00–09:50(lecture parallel1parallel nr.103)Thákurova 7 (budova FSv)A434roomTH:A-23010:00–11:50(lecture parallel1parallel nr.104)Thákurova 7 (budova FSv)A230
Time-table for summer semester 2024/2025:
Time-table is not available yet
The course is a part of the following study plans:
Data valid to 2024-09-07
Aktualizace výše uvedených informací naleznete na adrese https://bilakniha.cvut.cz/en/predmet2335506.html