Course Details
Elasticity and Plasticity
Academic Year 2025/26
BDA002 course is part of 4 study plans
BPA-SI Winter Semester 2nd year
BPC-SI / VS Winter Semester 2nd year
BPC-MI Winter Semester 2nd year
BKC-SI Winter Semester 2nd year
Course Guarantor
Institute
Language of instruction
Czech, English
Credits
5 credits
Semester
winter
Forms and criteria of assessment
course-unit credit and examination
Offered to foreign students
To offer to students of all faculties
Course on BUT site
Lecture
13 weeks, 2 hours/week, elective
Syllabus
- 1.Basic principles, conceptions and assumptions of the theory of elasticity and plasticity (the material strength). Material laws, working diagrams. The relation between internal forces and the stresses.
- 2. Simple tension – stress and strain state. More general cases of the tension (compression).
- 3. Statically indeterminate cases. The influence of the initial stress and the temperature field.
- 4. Simple shear, the connections strained by shearing.
- 5. Simple bending. Normal stresses produced by bending. Design and check of bent girders.
- 6. The differential equation of the deformation line. The integration of the differential thrust equation. The method of initial parameters, Mohr’s method.
- 7. Shearing stresses in a bent beam. The centre of the shear. Shearing stress in the thin-walled girders. The effect of the shear on the deflection of the beam.
- 8. Free torsion of a massive and thin-walled cross-section beams(opened and closed).
- 9. Complex cases of the load of the beam. Spatial and biaxial bending. Tension (compression) and uniaxial bending.
- 10. Eccentric tension and compression. The calculation of the position of the neutral axis, the core of the section. Design of the girders in a case of the complex load.
- 11. Buckling strengths and the stability of the compressed bars. Euler’s solution. Critical force and critical stress. The influence of the boundary conditions.
- 12. The strength approach to stability. A bar loaded by a bending and buckling load. The check of the buckling bars.
- 13. The stress and strain state in a point of the body. The principal stress at the plane stress problem.
Exercise
13 weeks, 2 hours/week, compulsory
Syllabus
- 1. Calculation of support reactions. Components of internal forces, differential equilibrium conditions, internal forces diagrams. Cross-section characteristics of the planar figures. Steiner’s theorem, extreme values of 2nd order moments.
- 2. Simple tension – stress and strain state. More general cases of the tension (compression).
- 3. Statically indeterminate cases. The influence of the initial stress and the temperature field.
- 4. Simple bending. Normal stress produced by bending. Design and check of bent girders.
- 5. Shearing stress in a bent beam. The centre of the shear. Shearing stress in the thin-walled girders.
- 6. Free warping of a massive and thin-walled (opened and closed) cross-section beams.
- 7. Complex cases of the load of the beam. Spatial and biaxial bending.
- 8. Eccentric tension and compression. The calculation of the position of the neutral axis, the core of the section. Design of the girders in a case of the complex load.
- 9. The differential equation of the deformation line. The integration of the thrust line diff. equation.
- 10. The method of initial parameters, Mohr’s method.
- 11. Buckling strengths and the stability of the compressed bars. Euler’s solution. Critical force and critical stress.
- 12. The strength approach to stability. A bar loaded by a bending and buckling load. The check of the buckling bars.
- 13. The stress and strain state in a point of the body. The principal stress at the plane stress problem.