Course Details
Structural mechanics
Academic Year 2024/25
Course Guarantor
Institute
Language of instruction
Czech
Credits
8 credits
Semester
summer
Forms and criteria of assessment
examination
Offered to foreign students
Not to offer
Course on BUT site
Lecture
13 weeks, 3 hours/week, elective
Syllabus
1. Interesting problems in structural mechanics; equalizing of bending moments between supports and on the support; optimal and variable beam section; design of the beam shape dependent on load.
2. Assumptions of linear mechanics; plane section remain plane and undeformed (plasticity, wall, torsion, shear lag), small deformations (loading by bending moment and by force), linear material.
3. Exception cases; mechanism; follower load.
4. Measurement of loading diagrams of nonlinear materials.
5. Measurement of deflection of cantilever beam, von Mises truss, catastrophic machines.
6. Energetical principles in statics, static stability.
7. Design of static nonlinear models and its solution.
8. Nonlinear symptoms in structural statics - collapse, loss of stability (beam buckling, bending of cantilever beam, frame, von Mises truss), bifurcations and catastrophes (beam buckling), loss of symmetry (beam buckling, torsion).
9. Energetical principles in dynamics (Lagrange and Hamilton function).
10. Design of dynamic nonlinear models, dynamical systems (definition, conservative/dissipative system).
11. Solution and monitoring of dynamical systems, numerical methods.
12. Phase space and trajectory of dynamical system.
13. Nonlinear symptoms in dynamics.