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Buckling Resistance of Two-Segment Stepped Steel Columns
Bartłomiej Fliegner1, Jakub Marcinowski1, Volodymyr Sakharov1
1Institute of Civil Engineering, University of Zielona Góra, 65-516 Zielona Góra, Poland.
Materials (Basel, Switzerland)
|March 6, 2021
Summary
This study derives analytical formulas for critical forces in stepped columns under axial loading. These formulas aid engineers in assessing buckling resistance for stepped column designs.
Area of Science:
- Structural Engineering
- Solid Mechanics
Background:
- Stepped columns with variable bending stiffness are common in engineering.
- Accurate critical force calculations are essential for designing these columns.
Purpose of the Study:
- To derive analytical formulas for critical forces in pin-ended stepped columns.
- To provide designers with tools for buckling resistance assessment.
Main Methods:
- Euler-Bernoulli beam theory and Timoshenko's energetic criterion.
- Rayleigh quotients derived using Mathematica®.
- Verification against transcendental equations and existing literature.
Main Results:
- Analytical formulas for critical forces under two distinct loading cases.
- A simplified procedure for buckling resistance assessment of steel stepped columns.
- Validation through experimental tests and numerical simulations.
Conclusions:
- The derived formulas are accurate and directly applicable to engineering design.
- The proposed Ayrton-Perry based approach simplifies buckling assessment for steel stepped columns.
Keywords:
analytical formulaebuckling resistancecritical forceexperimental testsnumerical simulationsstepped columnsMore Related Videos
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