PROFIS Design Guide - AC 318-19 July 2022 | Page 314

2.5 Steel Failure with Lever Arm

Equations фV _s

M

≥ V _ua

Equations ETAG 001 Annex C Provision Comments for PROFIS Engineering

фV _s

M

≥ V _ua

17.5 . 2 For each applicable factored load combination , design strength of anchors shall satisfy the criteria in Table 17.5 . 2 .

ETAG 001 ANNEX C PROVISIONS FOR BENDING 5.2.3.2 Steel failure b ) Shear load with lever arm

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

ETAG 001 Equation ( 5.5 ) can be modified as follows using PROFIS Engineering nomenclature :

M nominal shear strength ( resistance ): V _s = α _M

M _s

/ L _b

M design shear strength ( resistance ): фV _s = ф [ α _M

M _s

/ L _b ]

M design check : фV _s

≥ V _ua

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 . ACI 318-19 strength design provisions for shear check a calculated design strength ( фV _N

) against a factored shear load ( V _ua

). The parameter “ design strength ” is defined as the product of a “ nominal strength ” ( V _N

) and one or more strength reduction factors ( ф-factors ). If фV _N ≥ V _ua for all relevant shear failure modes , the ACI 318-19 shear provisions are satisfied .

PROFIS Engineering calculates a nominal steel strength ( V _sM

) corresponding to the shear resistance in an anchor element when it is subjected to bending . PROFIS Engineering always calculates V _s

M for a single anchor . If an application consists of a group of anchors in shear , V _s

M is calculated for a single anchor , and the design strength ( фV _sM

) is checked against the highest loaded anchor in shear . The nominal steel strength ( V _sM

) is calculated using ETAG 001 provisions , and the design steel strength ( фV _sM

) is calculated based on ACI 318-19 Table 17.5.2 . PROFIS Engineering designates the strength reduction factor for steel failure

ф _steel

. When modeling cast-in anchors , PROFIS Engineering uses the ф-factors given in ACI 318-19 Table 17.5.3 ( a ) for the ф _steel value . When modeling postinstalled anchors , PROFIS Engineering uses the ф-factors given in the anchor ICC-ES evaluation report ( ESR ) for the ф _steel value .

Reference the Results section of the PROFIS Engineering report for information on :

V _sM

: nominal steel strength in shear for bending .

фV _sM

: design steel strength in shear for bending .

ф _steel

: strength reduction factor for steel failure

V _ua

: factored load acting on anchors in shear

A summary of calculated shear design strength versus the factored shear load for each shear failure mode relevant to the application is given in Part 4 Shear Load of the PROFIS Engineering report .

314 NORTH AMERICAN PROFIS ENGINEERING ANCHORING TO CONCRETE DESIGN GUIDE — ACI 318-19 Provisions