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
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