PART 4 SHEAR LOAD
Stand-off Failure Mode
Calculations M 0 s
Calculations 318-14 Chapter 17 Provision Comments for PROFIS Engineering
M 0 s
ETAG 001 characteristic flexural resistance of anchor
5.2.3.2 Steel failure b ) Shear load with lever arm
M 0 Rk , s = 1 . 2 W el f uk
[ Nm ] ( 5 . 5b )
The characteristic resistance of an anchor , VRk , 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
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 f 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 defined by Equation ( 5 . 5b ) corresponds to the
Rk , s
“ characteristic bending resistance ” of an individual anchor . The parameter “ W el
” corresponds to the “ elastic section modulus ” of the anchor element , and the parameter “ f u , k
” corresponds to the “ characteristic ultimate tensile strength ” of the anchor element .
PROFIS Engineering designates the ETAG 001 parameters in Equation ( 5.5b ) as follows :
“ M 0 Rk , s ” is designated “ M0 s ” “ W el
” is designated “ S ”
“ f u , k ” is designated “ f u , min
” .
When modeling cast-in anchors , PROFIS Engineering calculates S using the equation :
S = [( π ) ( d minor ) 3 ]/ 32
When modeling post-installed anchors , PROFIS Engineering calculates S using the tensile stress area of the anchor :
d Ase
= [( 4 )( A se
)/ π ] 0 . 5 S = [( π ) ( d Ase
) 3 ]/ 32
PROFIS Engineering uses the “ minimum specified ultimate tensile strength ” of the anchor element for the parameter “ f u , min
”.
Using the PROFIS Engineering nomenclature , ETAG 001 Equation ( 5.5b ) can be written as follows :
M 0 = ( 1 . 2 ) ( S ) ( fu , min ) modified ETAG 001 Equation ( 5 . 5b ). s
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 :
f u , min
:
Minimum specified ultimate tensile strength of the anchor element
336 NORTH AMERICAN PROFIS ENGINEERING ANCHORING TO CONCRETE DESIGN GUIDE — ACI 318-14 Provisions