Generating Interaction Curve Graph Based on the Rotation Angle of Strain Diagram, According to EN 1992

Abstract:

The most comfortable way to present capacity is M-N interaction curve diagram (bending moment and longitudinal force). Graph of M-N most commonly appears as a function, where an axial force is the argument and the bending moment is the value. This work introduce a formation of the curve way, where the the rotation angle of the strain diagram is the argument, and the full strain diagram is the value. Using the complete state of the strain of the cross section, enables easy calculation the M-N forces using stress-strain diagram for a given material. Interaction graph is based on parabola-rectangle diagram for concrete and the graph with inclined top branch with strain limit for reinforcing steel. The method has no restrictions due to the concrete class.

• Periodical: Applied Mechanics and Materials (Volume 797)
• Pages: 61-68
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.797.61
• Online since: November 2015
• Authors: Juliusz Lechniak, Krzysztof Kamiński*
• Keywords: Cross-Section, Eurocode, Interaction Curve, Strain, Stress

References

[1] PN-B-03264: 2002 Concrete, reinforced and prestressed constructions. Static calculations and design. Published in 2002. (in Polish).

[2] EN 1992-1-1 Eurocode 2: Design of concrete structures – Part 1-1: General rules and rules for buildings – Published in (2008).

[3] Concrete, reinforced and prestressed constructions. Scientific commentary to PN-B-03264: 2002, Tom 1. ITB. Warsaw 2005 (in Polish).

[4] Joint publication. Designing concrete, reinforced and prestressed construction according to EN 1992-1-1, DWE Wroclaw 2006 (in Polish).

[5] Lechniak J., The design of cross-sections under eccentric compression based on interaction curve according to PN-B-03264: 2002 . Master diploma WBMiP. Płock 2010 (in Polish).

[6] Kamiński K., Degree of strain of reinforced concrete cross-sections. Engineering and Land Constructing Nr 6/1984 (in Polish).

[7] Kamiński K., Lechniak J., The method of calculation concretes columns reinforcement based on the interaction curve, Conference Materials, Building Forum in Płock 2010 (in Polish).