PROFIS Design Guide - AC 318-19 July 2022 | Page 348

COMBINED TENSION AND SHEAR LOAD

Parabolic
Results Status ( continued )
Results ACI 318-19 Chapter 17 Provision Comments for PROFIS Engineering Status cast-in anchor steel strength : β N
= N ua ( i ) / ϕ steel
N sa pullout strength : βN = N ua ( i )
/ ϕ concrete
N pn , ƒ ́c concrete breakout strength : β N = N ua ( i )
/ ϕ concrete
N cb or β N = N ua ( g )
/ ϕ concrete
N cbg side-face blowout strength : β N = N ua ( i )
/ ϕ concrete
N sb or β N = N ua ( g )
/ ϕ concrete
N sbg where N ua ( i )
= highest factored tension load acting on an individual anchor
N ua ( g )
= total factored tension load acting on a group of anchors .
When the governing β N -value ( 51 %) and the governing β V
-value ( 130 %) for the example above are used in the parabolic equation ; the calculation results would be shown in PROFIS Engineering as follows :
β N , V
= ( β N ) 5 / 3 + ( β V
) 5 / 3
= ( 0.51 ) 5 / 3 + ( 1.3 ) 5 / 3 = 1.874 The parabolic equation has not been satisfied , so the report shows the “ Status ” as “ not recommended ”.
The following shear failure modes are considered for each type of anchor :
post-installed mechanical anchor steel strength : β V
= V ua ( i ) / ϕ steel
V sa concrete breakout strength : β V = V ua ( i )
/ ϕ concrete
V cb or β V = V ua ( g )
/ ϕ concrete
V cbg concrete pryout strength : β V = V ua ( i )
/ ϕ concrete
V cp or β V = V ua ( g )
/ ϕ concrete
V cpg
5 Combined tension and shear loads
β NV
= β N ζ β N β V ζ
Utilization β N [%]
0.510 1.300 5 / 3 188
+ β V ζ
< = 1
Status
Not recommended post-installed adhesive anchor steel strength : β V
= V ua ( i ) / ϕ steel
V sa concrete breakout strength : β V = V ua ( i )
/ ϕ concrete
V cb or β V = V ua ( g )
/ ϕ concrete
V cbg concrete pryout strength : β V = V ua ( i )
/ ϕ concrete
V cp or β V = V ua ( g )
/ ϕ concrete
V cpg cast-in anchor steel strength : β V
= V ua ( i ) / ϕ steel
V sa concrete breakout strength : β V = V ua ( i )
/ ϕ concrete
V cb or β V = V ua ( g )
/ ϕ concrete
V cbg concrete pryout strength : β V = V ua ( i )
/ ϕ concrete
V cp or β V = V ua ( g )
/ ϕ concrete
V cpg
Part 5 of the PROFIS Engineering report shows the “ Status ” for parabolic equation calculation results as either “ OK ” if the equation is satisfied , or “ not recommended ” if it is not satisfied . PROFIS Engineering considers the parabolic equation to be satisfied if
( β N ) 5 / 3 + ( β V
) 5 / 3 is ≤ 1.0 . Reference the PROFIS Engineering design guide section on Utilization β N , V
[%] for additional information about PROFIS Engineering interaction calculations . where V ua ( i )
= highest factored shear load acting on an individual anchor
V ua ( g )
= total factored shear load acting on a group of anchors .
348 NORTH AMERICAN PROFIS ENGINEERING ANCHORING TO CONCRETE DESIGN GUIDE — ACI 318-19 Provisions