PAP_a Flexibility and Strenght

Institute of Technology and Business in České Budějovice
summer 2025
Extent and Intensity
2/2/0. 5 credit(s). Type of Completion: zk (examination).
Teacher(s)
Ing. Pavel Kovács, Ph.D. (seminar tutor)
Ing. Josef Musílek, Ph.D. (seminar tutor)
Guaranteed by
Ing. Josef Musílek, Ph.D.
Department of Civil Engineering – Faculty of Technology – Rector – Institute of Technology and Business in České Budějovice
Supplier department: Department of Civil Engineering – Faculty of Technology – Rector – Institute of Technology and Business in České Budějovice
Timetable of Seminar Groups
PAP_a/PS4: Sun 27. 4. 8:00–9:30 D415, 9:40–11:10 D415, 11:25–12:55 D415, Sun 4. 5. 8:00–9:30 D415, 9:40–11:10 D415, 11:25–12:55 D415, Sun 11. 5. 14:50–16:20 D415, 16:30–18:00 D415, P. Kovács
PAP_a/P01: Tue 13:05–14:35 B2, J. Musílek
PAP_a/S01: Wed 16:30–18:00 E4, J. Musílek
PAP_a/S03: Wed 14:50–16:20 D516, J. Musílek
Course Enrolment Limitations
The course is offered to students of any study field.
Course objectives supported by learning outcomes
After completing the course the student will be able to state tension in cross-section of basic types of stress - pressure, tension, bending, shear, buckling and twisting. Further s/he can determine the deflection of basic structure by analyzing the bending equation.
Learning outcomes
Student understands solution of wall and slab structures and solution of wall and plate equation. After completing the course the student is able to evaluate and design solutions of wall and slab structures, he can determine the tension in the cross-section from the basic stresses - pressure, tension, bending, skidding, buckling pressure and twisting, and also determines the deflection of basic structures based on the analysis of the bending equation.
Syllabus
  • 1) Basic functions, concepts and assumptions of elasticity theory. Displacement. Deformation. Voltage. Saint-Venant`s principle. Linear theory of elasticity. Physical laws, working diagram.
  • 2) Analysis of the rod - the basics. The connection components of the internal forces and stress components, components of the internal forces and external loads.
  • 3) Simple tension and pressure - stress, strain, relocation. Effect of temperature field and the initial tension.
  • 4) Simple bending angle and bending
  • 5) Simple shear. Simple bending - calculation of normal stresses. Design of curved beams.
  • 6) Transforming of the bent rods. Differential equations of the bending line.
  • 7) Method of initial parameters and Mohr's method. Calculation of the tangential stress - a massive and thin-walled sections. The importance of shear stress in bending. The center of the skid.
  • 8) Torsion free and bound. Big twist - solid and non-circular cross-section circular. Thin-walled cross-section of closed and open.
  • 9) Compound load cases of the rod. The spatial and angle bending. Tension (compression) and bending . Eccentric tension and pressure. The core section. Design of beams in case of a compound stress.
  • 10) Stability and buckling strength of compression members. Euler solutions. Critical power and voltage. Buckling strength approach.
  • 11) The theory of strength and failure. Stress and strain in the point of the body. The principal stress in plane strain, elastic and plastic state.
  • 12) Wall construction, types of stress, stress distribution, deformation
  • 13) Plate structure, types of stress, stress distribution, deformation
Literature
    required literature
  • 2022. Elasticity and Strength of Materials Used in Engineering Construction, LEGARE STREET PR, ISBN 1017200424.
  • KONEČNÁ, H. 2020. Pružnost a pevnost: sbírka příkladů. Brno: Univerzita obrany v Brně, ISBN 978-80-7582-332-8.
  • MOLOTNIKOV, V. a A. MOLOTNIKOVA. 2021. Theory of Elasticity and Plasticity: A Textbook of Solid Body Mechanics. Springer International Publishing, ISBN 978-30-3066-622-4.
  • PLÁNIČKA, F., J. KRYSTEK a R. KOTTNER. 2018. Pružnost a pevnost ve stavebním inženýrství: sbírka příkladů. Plzeň: Západočeská univerzita v Plzni, ISBN 978-80-261-0755-2.
    recommended literature
  • BITTNAROVÁ, J. 2004. Pružnost a pevnost 20: příklady. Vyd. 2. Praha: Vydavatelství ČVUT, 1998. ISBN 80-010-3082-2.
  • CYRUS, P. 2008. Pružnost a pevnost: řešené příklady. Praha: Česká zemědělská univerzita, ISBN 978-80-213-1776-5.
  • ŽÁK, J. a J. PĚNČÍK. 2005. Stavební mechanika: statika, pružnost a pevnost. Brno: Antikva, ISBN 80-239-4965-9.
  • ŘEZNÍČEK, J. a J. ŘEZNÍČKOVÁ. Pružnost a pevnost v technické praxi: příklady III. 2008. Praha: Česká technika - nakladatelství ČVUT, 2008. ISBN 978-800-1039-472.
  • ŠEJNOHA, J. a J. BITTNAROVÁ. 2003. Pružnost a pevnost 20. Vyd. 2. Praha: Vydavatelství ČVUT, ISBN 80-010-2709-0.
  • BOWER, A. F. 2010. Applied mechanics of solids. Boca Raton: CRC Press, ISBN 978-1-4398-0247-2.
  • HIBBELER, R. C. 2016. Engineering Mechanics: Statics in SI Units, Pearson Education Limited, ISBN 9781292089232.
  • MICHALEC, J. 2009. Pružnost a pevnost I. 3. vyd. Praha: České vysoké učení technické, ISBN 978-80-01-04224-3.
  • ŠUBRT, L., J. ŘEZNÍČEK a M. RŮŽIČKA. 2011. Příklady z pružnosti a pevnosti I. Praha: České vysoké učení technické, ISBN 978-80-01-04695-1.
  • PLÁNIČKA, F. a Z. KULIŠ. 2009. Základy teorie plasticity. 2. vyd. Praha: České vysoké učení technické, ISBN 978-80-01-04225-0.
  • PODOLKA, L. Přednášky z Pružnosti a pevnosti na VŠTE v Českých Budějovicích – vyvěšeno elektronicky v informačním systému školy. Dostupné z IS VŠTE: http://is.vstecb.cz
  • REDDY, J. N. 2017. Principles of Continuum Mechanics. Cambridge University Press. ISBN 9781107199200.
Forms of Teaching
Lecture
Seminar
Tutorial
Teaching Methods
Frontal Teaching
Group Teaching - Competition
Group Teaching - Cooperation
Project Teaching
Brainstorming
Critical Thinking
Individual Work– Individual or Individualized Activity
Teaching Supported by Multimedia Technologies
E-learning
Student Workload
ActivitiesNumber of Hours of Study Workload
Daily StudyCombined Study
Preparation for the Mid-term Test1850
Preparation for Lectures18 
Preparation for Seminars, Exercises, Tutorial1823
Preparation for the Final Test2431
Attendance on Lectures26 
Attendance on Seminars/Exercises/Tutorial/Excursion2626
Total:130130
Assessment Methods and Assesment Rate
Exam – written 70 %
Semestr evaluation 30 %
Exam conditions
Successful graduates of the course have to get totally at least 70 points: A 100 – 90, B 89,99 – 84, C 83,99 – 77, D 76,99 – 73, E 72,99 – 70, FX 69,99 – 30, F 29,99 - 0.
Language of instruction
Czech
Teacher's information
Attendance in lessons is defined in a separate internal standard of ITB (Evidence of attendance of students at ITB). It is compulsory, except of the lectures, for full-time students to attend 70 % lesson of the subjet in a semester.
The course is also listed under the following terms winter 2015, Summer 2016, winter 2016, summer 2017, winter 2017, summer 2018, winter 2018, summer 2019, winter 2019, summer 2020, winter 2020, summer 2021, summer 2022, SUMMER 2023, summer 2024.
  • Enrolment Statistics (recent)
  • Permalink: https://is.vstecb.cz/course/vste/summer2025/PAP_a