228-0232/05 – Elasticity and plasticity (PP)
| Gurantor department | Department of Structural Mechanics | Credits | 6 |
| Subject guarantor | prof. Ing. Martin Krejsa, Ph.D. | Subject version guarantor | prof. Ing. Martin Krejsa, Ph.D. |
| Study level | undergraduate or graduate | | |
| | Study language | Czech |
| Year of introduction | 2025/2026 | Year of cancellation | |
| Intended for the faculties | FAST | Intended for study types | Bachelor |
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
Ability of partial self-study
E-learning
Other requirements
Ability of partial self-study
Prerequisities
Co-requisities
Subject has no co-requisities.
Subject syllabus:
Lectures
1. Introduction: Elasticity 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 moment of deviation: 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 stress in the cross section.
4. Deformations and displacements in the elastic body: 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 assessment of the reliability of the load-bearing structures.
6. Normal stress and deformation in tension (simple pressure): Basic relations and assumptions of solution. Stress and strain of axial task. Statically determined and indetermined problems. Elastic-plastic strain.
7. Torsion: Basic principles and relationships. Shear stress and strain. Statically determined and indetermined problems.
8. Normal stress in bending: Basic relationships and assumptions for the solution. Calculation of normal stress. Dimensioning of beams. Bending with consideration of the elastic-plastic behaviour of the material.
9. Shear stress in bending: Basic relationships and assumptions for the solution. Calculation of shear stress of selected cross-sections. Dimensioning of beams in shear. Calculation of shear flow and shear centre. Composite beams.
10. Deformation of beams I.: Basic relations and assumptions of solution. Deformation of beams from uneven warming. Method of direct integration of the differential equation of the elastic curve. Clebsch method.
11. Deformation of beams II.: Deformation of beams with variable cross section. Statically indetermined bending tasks. Effect of shear on the deformation of beams.
12. Combined axial load and bending: Three-dimensional bending. Eccentric compression, cross section core.
13. Stability and buckling strength: Euler's solution.
Tutorials
1. Properties of cross-sectionals.
2. Deformations and displacements in the body. Relations between stress and strain.
3. Normal stress and deformation of an axially loaded member.
4. Shear stress and deformation of a bar loaded by simple torsion.
5. Normal stress in bending.
6. Shear stress in bending.
7. Three-dimensional bending. Eccentric tension (compression).
8. Plane stress. Principal stress and maximum shear stress and their meaning.
9. Calculation of the deformation of plane beams using the method of unit forces.
10. Solution of a simple statically indeterminate beam using the force method.
11. Determination of stress on statically indeterminate structures.
12. Euler's solution of stability of a straight elastic rod.
13. More complex examples of tension and deformation of beams.
Conditions for subject completion
Conditions for completion are defined only for particular subject version and form of study
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction
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