The aim of the course is to deepen knowledge in the field of structural stability, and in particular to fully understand the methods of controlling buckling limit states checked when designing building structures.
Prerequisites
Scope
Lecture
Concept of loss of stability. Basic stability criteria. Static method, energy method and dynamic method for determining critical load. Critical points: stable bifurcation point, unstable bifurcation point, limit point. Effects of load and geometric imperfections on stability. Flexural stability, torsional stability, flexural stability of bar elements. Dislocation of flexural elements. Compression plate stability and shear plate stability. Stability of shells. Initial stability versus non-linear stability. Consideration of geometrical nonlinearities and physical nonlinearities. Non-conservative problems. Stability versus 2nd order theory. Structural stability in terms of standard regulations: metallic structures, wooden structures, reinforced concrete structures. Use of commercial software for determination of critical loads.
Project .
Analytical solution of the stability problem of a discrete system with one degree of freedom. Application of Timoshenko's energy criterion to the determination of critical loads on compression members (analytical solution with MathCAD support). Application of Timoshenko's energy criterion to the determination of the critical stress of compression plates. Verification of the solution using commercial programs (Robot, Cosmos/M).
Teaching methods
Learning outcomes and methods of theirs verification
Outcome description
Outcome symbols
Methods of verification
The class form
Assignment conditions
Lecture – Assessment based on a colloquium with point thresholds:
50% - 60% positive responses dst,
61% - 70% dst plus,
71% - 80% db,
81% - 90% db+,
91% - 100% very good.
Project - The condition for passing is to obtain positive grades in all project exercises (3 exercises).
Pass a subject: The rating is a weighted average of the ratings: O = 0.4W+0.6C.
Recommended reading
Timoszenko S. K., Gere J. M., Teoria stateczności sprężystej. Wydawnictwo Arkady, 1963.