PROFIS Design Guide: US-EN Summer 2021 | Page 30

PROFIS ENGINEERING REPORT TENSION LOAD

Bond Failure Mode
Calculations c Na
Calculations ACI 318-14 Chapter 17 Provision Comments for PROFIS Engineering
c Na
= 10d a
т uncr
1100
17.4.5.1 ……… A Na is the projected influence area of a single adhesive anchor or group of adhesive anchors that shall be approximated as a rectilinear area that projects outward a distance c Na from the centerline of the adhesive anchor , or in the case of a group of adhesive anchors , from a line through a row of adjacent adhesive anchors ……..………………. A Na0 is the projected influence area of a single adhesive anchor with an edge distance equal to or greater than c Na
.
where
and the constant 1100 carries the unit of lb / in 2 .
A Na0
= ( 2c Na ) 2 ( 17.4.5.1c )
c Na
= 10d a т uncr 17 . 4 . 5 . 1d 1100
ACI 318-14 Chapter 17 bond strength calculations are predicated on the parameter “ c Na
”, which is defined in Chapter 2 as the “ projected distance from the center of an anchor shaft on one side of the anchor required to develop the full bond strength of a single adhesive anchor .” c Na is calculated per Equation ( 17.4.5.1d ).
The parameter “ d a
” corresponds to the diameter of the anchor element selected for the PROFIS Engineering application being modeled . The parameter “ т uncr
” corresponds to the characteristic bond stress in uncracked concrete of the adhesive product selected for the PROFIS Engineering application being modeled .
The modification factor A Na accounts for the area of influence assumed to develop with respect to bond failure , for the edge conditions and anchor spacing that have been input into the PROFIS Engineering model . Per the provisions for A Na given in Section 17.4.5.1 , PROFIS Engineering limits the geometry used to define A Na to a maximum projected distance from an anchor of c Na .
17.4.5.3 The modification factor for adhesive anchor groups loaded eccentrically in tension , ψ ec , Na shall be calculated as :
ψ ec , Na
=
1
1 + e ́N
( 17.4.5.3 )
c Na is also used to calculate the following bond strength parameters :
• A Na0
: Modification factor for the idealized area of influence assumed to develop in concrete , with respect to bond failure , for a single anchor without any edge influences . Reference Equation ( 17.4.5.1c )
• ψ ec , Na :
Modification factor for an eccentric tension load acting on a group of anchors . Reference Section 17.4.5.3
17.4.5.4 The modification factor for edge effects for single adhesive anchors or adhesive anchor groups loaded in tension , ψ ed , Na
, shall be calculated as :
c Na
• ψ ed , Na
:
• ψ cp , Na :
Modification factor for a fixed edge distance less than c Na
. Reference
Section 17.4.5.4
Modification factor to consider splitting failure . Reference Section 17.4.5.5
If c a , min ≥ c Na
, then ψ ed , Na = 1.0 ( 17.4.5.4a )
Reference the Variables section of the PROFIS Engineering report for more information on the following parameters :
d a
: Diameter of anchor element
If c a , min < c Na
, then ψ ed , Na = 0.7 + 0.3
c a , min ( 17 . 4 . 5 . 4b )
c Na
т uncr
:
Characteristic bond stress of an adhesive anchor in uncracked concrete
17.4.5.5 The modification factor for adhesive anchors designed for uncracked concrete in accordance with 17.4.5.2 without supplementary reinforcement to control splitting , ψ cp , Na
, shall be calculated as :
Reference the Calculations section of the PROFIS Engineering report for more information on the following parameters :
A Na
: Area of influence modification factor
If c a , min ≥ c ac
, then ψ cp , Na = 1.0 ( 17.4.5.5a )
A Na0
: Idealized area of influence modification factor for a single anchor ψ ec , Na
: Modification factor for tension eccentricity
If c a , min < c ac
, then ψ cp , Na = c
a , min
( 17.4.5.5b )
c ac
ψ ed , Na
: Modification factor for edge distance
ψ ec , N a : Modification factor for splitting but ψ cp , Na determined from Eq . ( 17.4.5.5b ) shall not be taken less than c Na
/ c ac , where the critical distance c ac is defined in 17.7.6 . For all other cases , ψ cp , Na shall be taken as 1.0 .
Example : Example of a bond strength table in an ICC-ESR showing characteristic bond stress values ( т k , uncr
) that could be used to calculate c Na for a given anchor diameter ( d a
) using Eq . ( 17.4.5.1d ).
30 NORTH AMERICAN PROFIS ENGINEERING ANCHORING TO CONCRETE DESIGN GUIDE — ACI 318-14 Provisions