Course: Strength of Material I and FEM

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Course title Strength of Material I and FEM
Course code KMMCS/XAPP1
Organizational form of instruction Lecture + Lesson
Level of course Bachelor
Year of study 2
Semester Summer
Number of ECTS credits 6
Language of instruction Czech
Status of course Compulsory
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Lecturer(s)
  • Řehounek Luboš, Ing. Ph.D.
Course content
Tension, strain, Hooke's law. Uniaxial loading, method of fictive cut. Statically definite and indefinite problems. Thermal stresses. Strain energy. Shear. Plane stress. Thin-walled cylindrical pressure vessel. Tension in oblique cut. Mohr's circle, principal stress. Strain gauges. Tri-axial stresses. Failure at multiaxial stress (strength hypotheses). Twisting of bars - solid and thin-walled profiles. Free and constrained torsion. Simple bending, determination of stresses. Cross-sectional characteristics, principal axes of cross-section. Transverse bending, shear stress. Massive and thin-walled cross-sections. Shear center. Combined stress, eccentric tension, oblique bending. Deflection of thin bars, differential equation of the deflection line. Buckling of compressed bars, critical load and stress. Imperfections. Failure of components and structures. Stress concentration. Brittle fracture. Fatigue, causes and stages. Wöhler curve. Number of cycles to failure, dimensioning.

Learning activities and teaching methods
Monologic (reading, lecture, briefing), Dialogic (discussion, interview, brainstorming)
  • Contact teaching - 65 hours per semester
Learning outcomes
Students get acquainted with the basic kinds of stress and failure of components. They learn to calculate elastic stresses and strains, to assess the safety in simpler cases, and to calculate the component dimensions for the specified stresses and required safety.
After having absolved Strength of materials I, student understands basic kinds of loading and failure of components. He/she is able to calculate stresses and deformations in simpler cases (bars and beams loaded in tension, compression, bending and torsion and their combinations, buckling and fatigue). He is able to evaluate the safety of a component or to propose the cross-section dimensions for given load and demanded degree of safety.
Prerequisites
Knowledge of Mechanics ? Statics (successful examination) and principles of Calculus.

Assessment methods and criteria
Oral examination, Written examination

Passed exam from the subject Mechanics I (statics). Fulfillment of duties told by the teacher at the semester beginning. The exam is made in accordance with the Study and Examination Regulations.
Recommended literature
  • A. Jíra, L. Řehounek a kol. Sbírka příkladů z Pružnosti a pevnosti. .
  • FERDINAND P. Mechanics of Materials. McGraw-Hill Book Company, 1981.
  • Michalec J. a kol. Pružnost a pevnost I. Praha: Vydavatelství ČVUT Fakulta strojní, 2001. ISBN 80-01-01333-2.
  • SERVÍT R., Doležalová E. a Crha M. Teorie pružnosti a plasticity I. Praha: SNTL - Nakladatelství technické literatury, 1981.
  • Servít, Radim. Teorie pružnosti a plasticity II.. Praha: Státní nakladatelství technické literatury, 1984.
  • Šmiřák S. Hlavinková B. Pružnost a plasticita I - Příklady. CERM Brno, 2000.
  • Šmiřák S. Pružnost a plasticita I. Brno: PC-DIR spol. s r.o., 1995.
  • Timoshenko, Stephen P. History of strength of materials : with a brief account of the history of theory of elasticity and theory of structures. New York: Dover Publications, 1983. ISBN 0-486-61187-6.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester