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.
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.