Derivation of shear enhancement factor β used in FprEN1992 to calculate design shear force at corner columns of flat slabs
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Published version
Author(s)
Abu-Salma, Deema
Vollum, Robert L
Macorini, Lorenzo
Type
Journal Article
Abstract
The next generation of Eurocode 2 (FprEN 1992) adopts a closed form version of the Critical Shear Crack Theory
(CSCT) for punching shear design. The code accounts for loading eccentricity by multiplying the design shear
force by a coefficient β. The paper describes the derivation of the expression adopted in FprEN 1992 for β at
corner columns of flat slabs. The proposed formula is validated for normal size columns, with maximum side
length less than 3d, where d is the slab mean effective depth, and non-square columns with long side greater than
3d. Due to the absence of experimental data on punching resistance at non-square corner columns, the derived
formula is validated for such columns using NLFEA with 3-D solid elements. Comparisons are also made with
punching resistances determined using the classic CSCT in which punching resistance is explicitly related to slab
rotation relative to the support. The closed form CSCT is shown to predict punching shear resistance well, when
used in conjunction with the proposed β factor.
(CSCT) for punching shear design. The code accounts for loading eccentricity by multiplying the design shear
force by a coefficient β. The paper describes the derivation of the expression adopted in FprEN 1992 for β at
corner columns of flat slabs. The proposed formula is validated for normal size columns, with maximum side
length less than 3d, where d is the slab mean effective depth, and non-square columns with long side greater than
3d. Due to the absence of experimental data on punching resistance at non-square corner columns, the derived
formula is validated for such columns using NLFEA with 3-D solid elements. Comparisons are also made with
punching resistances determined using the classic CSCT in which punching resistance is explicitly related to slab
rotation relative to the support. The closed form CSCT is shown to predict punching shear resistance well, when
used in conjunction with the proposed β factor.
Date Issued
2023-05
Date Acceptance
2023-03-08
Citation
Structures, 2023, 51, pp.602-614
ISSN
2352-0124
Publisher
Elsevier BV
Start Page
602
End Page
614
Journal / Book Title
Structures
Volume
51
Copyright Statement
© 2023 The Author(s). Published by Elsevier Ltd on behalf of Institution of Structural Engineers. This is an open access article under the CC BY license
(http://creativecommons.org/licenses/by/4.0/).
(http://creativecommons.org/licenses/by/4.0/).
License URL
Identifier
http://dx.doi.org/10.1016/j.istruc.2023.03.049
Publication Status
Published
Date Publish Online
2023-03-21