2.0 SHEAR
2.5 Steel Failure with Lever Arm
Equations M 0 s = ( 1 . 2 ) ( S ) ( ƒ u , min )
Equations ETAG 001 Annex C Provision Comments for PROFIS Engineering
M 0 s = ( 1 . 2 ) ( S ) ( ƒ u , min ) ETAG 001 characteristic flexural resistance of anchor
5.2.3.2 Steel failure b ) Shear load with lever arm
M 0 Rk , s = 1 . 2W el ƒ u , k [ Nm ] ( 5 . 5b )
The characteristic resistance of an anchor , V Rk , s , is given by Equation ( 5.5 ). where
V Rk , s
= α M M Rk , s [ N ] ( 5.5 ) l α M
= see 4.2.2.4 l = lever arm according to Equation ( 4 . 2 )
M Rk , s
= M 0 ( 1 - N / N ) [ Nm ] ( 5 . 5a )
Rk , s Sd Rd , s
N Rd , s
= N Rk , s / Y Ms
N Rk , s
, Y Ms to be taken from the relevant ETA M 0 = characteristic bending resistance of an individual anchor
Rk , s
The characteristic bending resistance M 0 is given in the relevant ETA .
Rk , s
The value of M 0 for anchors according to current experience is obtained from Equation ( 5 . 5b ).
Rk , s
M 0 Rk , s = 1 . 2 W el ƒ uk
[ Nm ] ( 5 . 5b )
Equation ( 5.5b ) may be used only if the anchor has not a significantly reduced section along the length of the bolt .
PROFIS Engineering uses the provisions given in the European Technical Approval Guideline ( ETAG ) titled ETAG 001 Metal Anchors for Use in Concrete Annex C : Design Methods for Anchorages to consider bolt bending as a possible shear failure mode .
The ETAG 001 parameter M 0 is defined by Equation ( 5 . 5b ) as shown to the left .
Rk , s
The parameter W el corresponds to the “ elastic section modulus ” of the anchor element , and the parameter fuk corresponds to the “ characteristic ultimate tensile strength ” of the anchor element .
When performing bolt bending calculations , PROFIS Engineering designates the elastic section modulus for the anchor element “ S ” and the ultimate tensile strength for the anchor element “ ƒ u , min
”, where “ ƒ u , min
” corresponds to the “ minimum specified ultimate tensile strength ” of the anchor element . The PROFIS Engineering report designates the ETAG 001 parameter “ M 0 ” as “ Rk , s M0 ”. Using s the PROFIS Engineering nomenclature , ETAG 001 Equation ( 5.5b ) can be written as follows :
M 0 = ( 1 . 2 ) ( S ) ( ƒ ) modified ETAG 001 Equation ( 5 . 5b ). s u , min
PROFIS Engineering uses this equation to calculate M 0 for all of the cast in and s post-installed anchors in its portfolio .
Reference the Equations section of the report for more information on the following PROFIS Engineering parameter .
S : elastic section modulus of the anchor element
Reference the Variables section of the report for more information on the following PROFIS Engineering parameter :
ƒ u , min
: minimum specified ultimate tensile strength of the anchor element
309 NORTH AMERICAN PROFIS ENGINEERING ANCHORING TO CONCRETE DESIGN GUIDE — ACI 318-19 Provisions