Proposition of a new method for the calculation of diagonal crack widths in reinforced concrete elements subjected to combined torsion and shear

Waldemar Budzyński


Institute of Building; Lublin University of Technology; Lublin; Poland (Poland)
https://orcid.org/0000-0003-1469-6224

Abstract

This paper concerns the phenomenon of cracking in reinforced concrete elements subjected to combined torsion and shear. The theoretical model developed by Rahal and Collins is described in de tail. This model is the only one which is capable of predicting the full response (e.g.: steel and concrete strains, deformations, curvatures) rectangular reinforced concrete sections subjected to combined torsion and shear throughout their post cracking loading history. The assumptions of Modified Compression Field Theory are also described because the model of Rahal and Collins is based on this theory. It also contains a concept of the new method which is capable of determining the width of cracks in reinforced concrete elements subjected to combined torque moment and shear force. The method is based on the model suggested by Rahal and Collins.

 


Keywords:

reinforced concrete, torsion, shear, truss model, strains, compatibility equations, width of cracks

Budzyński W., Badania belek żelbetowych poddanych jednoczesnemu skręcaniu i ścinaniu, Inżynieria i Budownictwo, nr 4/1999.
  Google Scholar

Budzyński W., Analiza szerokości rozwarcia rys ukośnych w elementach żelbetowych przy jednoczesnym występowaniu skręcania i ścinania, Praca doktorska. Pol. Lubelska 2000.
  Google Scholar

Ciężak T., Rozwarcie rys w skręcanych elementach żelbetowych, Prace Naukowe Politechniki Lubelskiej 218. Budownictwo 40. Lublin 1990.
  Google Scholar

Collins M.P., Mitchell D., Prestressed Concrete Structures, Prentice Hall 1991.
  Google Scholar

Goto Y., Cracks Formed in Concrete Around Deformed Tension Bars, ACI Journal, No.4, Apr.1971.
  Google Scholar

Hsu T.T.C., Unified Theory of Reinforced Concrete, CRC Press Inc., Boca Raton, Florida 1993.
  Google Scholar

Husain S.I., Ferguson Ph.M., Flexural Crack Width at the Class in Reinforced Concrete Beams, Research Report 102-1F Center for Highway Research, the University of Texas at Austin, June 1968.
  Google Scholar

Kosińska A., Nowakowski A.B., Badania żelbetowych belek wykonanych z betonu wysokowartościowego poddanych czystemu skręcaniu, XLII Konferencja Naukowa KILiW PAN i KN PZITB. Krynica 1996.
  Google Scholar

Lampert P., Thürlimann B., Torsions-Biege-Versuche an Stahlbetonbalken, Institut für Baustatik, ETH Zürich, Bericht Nr 6506-3, Januar 1969.
DOI: https://doi.org/10.1007/978-3-0348-6816-7_2   Google Scholar

Lampert P., Thürlimann B., Torsionsversuche an Stahlbetonbalken, Institut für Baustatik, ETH Zürich, Bericht Nr 6506-2, Juni 1968.
DOI: https://doi.org/10.1007/978-3-0348-6908-9_1   Google Scholar

Lewicki B., Związek między wynikami badań i wzorami normowymi, Inżynieria i Budownictwo, nr 4-5/1990.
  Google Scholar

Pang X.B., Hsu T.T.C., Fixed Angle Softened Truss Model for Reinforced Concrete, ACI Structural Journal, V.93, No.2, March-April 1996.
DOI: https://doi.org/10.14359/1452   Google Scholar

Rahal K.N., Collins M.P., Analysis of Sections Subjected to Combined Shear and Torsion - A Theoretical Model, ACI Structural Journal, V.92, No.4, July-August 1995.
DOI: https://doi.org/10.14359/995   Google Scholar

Thürlimann B., Ultimate Strength and Design of Reinforced Concrete Beams under Bending and Shear, Institut für Baustatik und Konstruktion, ETH Zürich, Bericht Nr 63, September 1976.
  Google Scholar

Vecchio F.J., Collins M.P., The Modified Compression-Field Theory for Reinforced Concrete Elements Subjected to Shear, ACI Structural Journal, V.83, No.2, Mar.-Apr. 1986.
DOI: https://doi.org/10.14359/10416   Google Scholar

Vecchio F.J., Collins M.P., The Response of Reinforced Concrete to In-Plane Shear and Normal Stresses, Publication 82-03, Department of Civil Engineering, University of Toronto, Toronto 1982.
  Google Scholar

Yang S., Chen J., Bond Slip and Crack Width Calculations of Tension Members, ACI Structural Journal, V.85, No.4, July-August 1988.
DOI: https://doi.org/10.14359/2693   Google Scholar

ACI 318-02, Building Code Requirements for structural Concrete (ACI 318-02) and Commentary (ACI 318R-02), American Concrete Institute, 2002.
  Google Scholar

CEB-FIP. Model Code for Concrete Structures, CEB-FIP International Recommendations, 3rd Edition 1978.
  Google Scholar

CEB-FIP Model Code MC 1990. Verrification of the Ultimate Limit States. Summary and Analysis of Observations Concerning the Revision of the CEB-FIP Model Code 1978, Bulletin d’Information No.175, March 1987.
  Google Scholar

ENV 1992-1-1:1991: Eurokod 2. Projektowanie konstrukcji z betonu. Część 1: Reguły ogólne i reguły dla budynków, Tom 1, Wersja polska. ITB 1992.
  Google Scholar

PN-B-03264:2002. Konstrukcje betonowe, żelbetowe i sprężone. Obliczenia statyczne i projektowanie, PKN 2002.
  Google Scholar

SNiP 2.03.01-84-M. Bietonnyje i żelezobietonnyje konstrukcii, Strojizdat. Moskwa 1984.
  Google Scholar


Published
2008-06-11

Cited by

Budzyński, W. . (2008) “Proposition of a new method for the calculation of diagonal crack widths in reinforced concrete elements subjected to combined torsion and shear”, Budownictwo i Architektura, 2(1), pp. 037–064. doi: 10.35784/bud-arch.2311.

Authors

Waldemar Budzyński 

Institute of Building; Lublin University of Technology; Lublin; Poland Poland
https://orcid.org/0000-0003-1469-6224

Statistics

Abstract views: 174
PDF downloads: 396


License

Creative Commons License

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

Budownictwo i Architektura supports the open science program. The journal enables Open Access to their publications. Everyone can view, download and forward articles, provided that the terms of the license are respected.

Publishing of articles is possible after submitting a signed statement on the transfer of a license to the Journal.