228-0232/04 – Elasticity and plasticity (PP)

Gurantor departmentDepartment of Structural MechanicsCredits6
Subject guarantorprof. Ing. Martin Krejsa, Ph.D.Subject version guarantorprof. Ing. Martin Krejsa, Ph.D.
Study levelundergraduate or graduateRequirementCompulsory
Year2Semesterwinter
Study languageEnglish
Year of introduction2019/2020Year of cancellation
Intended for the facultiesFASTIntended for study typesBachelor
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+3
Part-time Credit and Examination 20+0

Subject aims expressed by acquired skills and competences

Students manage the design and assessment of the structural elements with respect to basic types of stresses. Determination of the reactions and internal forces on the simple statically indetermined structures is managed.

Teaching methods

Lectures
Tutorials

Summary

Subject Elasticity and Plasticity provides students with basic information on strain and strain of generally loaded supporting elements and simple rod structures with respect to the basic strain and elastic or ideal elastic-plastic behavior of the material. The course provides basic information on the design and assessment of the reliability of load bearing structures. The training also includes the stability analysis of slender columns in compression. The course also provides information on the basic cross-sectional characteristics that are used in static calculations. Students will acquire basic knowledge of principles and methods of building mechanics, which are applied in normative regulations for design of structures.

Compulsory literature:

1. Russell C. Hibbeler, Mechanics of Materials (10th Edition), 896 pages, 2016, ISBN-13: 978-0134319650, ISBN-10: 0134319656. 2. Russell C. Hibbeler, Structural Analysis (10th Edition), 736 pages, 2017, ISBN-13: 978-0134610672, ISBN-10: 0134610679.

Recommended literature:

1. Russell C. Hibbeler, Engineering Mechanics: Statics (13th Edition), 672 pages, 2012, ISBN-13: 978-0132915540 , ISBN-10: 0132915545. 2. Boresi A. P., Schmidt, R. J.: Advanced Mechanics of Materials,John Wiley and Sons, Chichester, USA 2003

Way of continuous check of knowledge in the course of semester

Written and oral exam.

E-learning

Other requirements

Ability of partial self-study

Prerequisities

Subject codeAbbreviationTitleRequirement
228-0230 ZSM Fundamentals of Structural Mechanics Recommended

Co-requisities

Subject has no co-requisities.

Subject syllabus:

Lectures: 1. Introduction: Flexibility and strength in civil engineering. Integration of subject matter into the theory and design of engineering structures. 2. Cross-sectional characteristics: Moments of inertia and deviating moments: the concept of quadratic moments of planar shapes, central quadratic moments of basic and compound cross-sections, quadratic moments to rotated axes, polar moment of inertia. 3. Stress: Basic concepts, default assumptions. Relationships between internal forces and stresses in the cross section. 4. Deformations and displacements in the body: Physical relationships between stress and strain, Hook\'s law, physical constants, stress-strain diagrams of building materials, deformation from temperature change. 5. Principles of design and structural reliability assessment: Ultimate limit state, strength of building materials. Loads of building structures. Limit state of serviceability. Probabilistic assesment of the reliability of the load-bearing structures. 6. Normal stress and deformation of tensioned rod (simple pressure): Basic relations and assumptions of solution. Stress and strain of axial task. Statically determined and indeterminde task. Elastic-plastic strain. 7. Torsion: Basic principles and relationships. Shear stress and strain. Statically determined and indetermined task. 8. Normal stresses in bent beams: Basic relationships and assumptions for the solution. Calculation of normal stress. Dimensioning of bent beams. Bending with consideration of the elastic-plastic behavior of the material. 9. Shear stresses in bent beams: Basic relationships and assumptions for the solution. Calculation of shear stress of selected cross-sections. Dimensioning of bent beams in shear. Calculation of shear flows and shear center. Composite beams. 10. Deformation of bent beams I.: Basic relations and assumptions of solution. Shaping beams from uneven warming. Method of direct integration of the differential equation of the bending strain curve. Clebsch method. 11. Deformation of bent beams II.: Deformation of bendt beams with variable cross section. Statically indeterminate bending tasks. Effect of shear on the strain of the bent beam. 12. Composite beam strain: Spatial bending. Excentric compression, cross section core. 13. Stability and buckling strength of rods: Euler\'s solution 14. Sample examples. Tutorials: 1. Introduction: Determination of reactions and internal forces of selected statically and kinematically determined structures. 2. Cross-sectional characteristics: Moments of inertia and deviating moments, quadratic moments of planar shapes, compound cross-sections, polar moment of inertia. 3. Deformations and displacements in the body: Physical relationships between stress and strain, Hook\'s law, physical constants, stress-strain diagrams of building materials, deformation from temperature change. 4. Normal stress and deformation of tensioned rod (simple pressure) I: Computation of stress and strain of axial task. 5. Normal stress and deformation of tensioned rod (simple pressure) II: Statically indeterminde task. 6. Normal stress and deformation of tensioned rod (simple pressure) III: Elastic-plastic strain. Deformation of a rod with a variable normal force (self-weight) and a variable cross-sectional area. 7. Torsion: Computation of shear stress and strain. Statically determined and indetermined task. Dimensioning of beam under torsion. 8. Normal stresses in bent beams: Calculation of normal stress in bending. Dimensioning of bent beams according ultimate limit state. Neural axis, modulus of cross-section, non-symetric cross-section in bending. 9. Shear stresses in bent beams: Calculation of shear stress of selected cross-sections. Dimensioning of bent beams in shear. Composite beams. 10. Deformation of bent beams I.: Method of direct integration of the differential equation of the bending strain curve. Dimensioning of bent beams according limit state of serviceability. 11. Deformation of bent beams II.: Clebsch method. 12. Deformation of bent beams III.: Statically indeterminate bending tasks. Method of direct integration of the fourth order differential equation of the bending strain curve. 13. Stability and buckling strength of rods: Euler\'s solution of direct elastic rod. Dimensioning of slender columns under compression. 14. Credit test

Conditions for subject completion

Part-time form (validity from: 2019/2020 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Credit and Examination Credit and Examination 100 (100) 51
        Credit Credit 35  18
        Examination Examination 65  33
Mandatory attendence parzicipation: 70%

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2021/2022 (B0732A260002) Civil Engineering CIN P English Ostrava 2 Compulsory study plan
2021/2022 (B0732A260002) Civil Engineering CIN K English Ostrava 2 Compulsory study plan
2020/2021 (B0732A260002) Civil Engineering CIN P English Ostrava 2 Compulsory study plan
2020/2021 (B0732A260002) Civil Engineering CIN K English Ostrava 2 Compulsory study plan
2019/2020 (B0732A260002) Civil Engineering CIN P English Ostrava 2 Compulsory study plan
2019/2020 (B0732A260002) Civil Engineering CIN K English Ostrava 2 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner
ECTS Bc.-Mgr. 2021/2022 Full-time English Choice-compulsory 200 - Faculty of Civil Engineering - Dean's Office stu. block