PROFIS Design Guide: US-EN Summer 2021 | Page 166

PROFIS ENGINEERING REPORT SHEAR LOAD

Concrete Breakout Failure Mode
Equation ψ ec , V
Equation ACI 318-14 Chapter 17 Provision Comments for PROFIS Engineering
ψ ec , V
=
1
1 + 2e ́V
3c a1
≤ 1.0
17.5.2.5 The modification factor for anchor groups loaded eccentrically in shear , ψ ec , V , shall be calculated as
ψ ec , V
=
but ψ ec , V shall not be taken greater than 1.0 .
1
1 + 2e ́V
3c a1
If the loading on an anchor group is such that only some anchors are loaded in shear in the same direction , only those anchors that are loaded in shear in the same direction shall be considered when determining the eccentricity e ́V for use in Eq . ( 17.5.2.5 ) and for the calculation of V cbg according to Eq . ( 17.5.2.1b ).
ψ ec , V is a modification factor that is used to account for a resultant shear load that is eccentric with respect to the centroid of anchors that are loaded in shear . ψ ec , V is only considered when calculating the nominal concrete breakout strength in shear for an anchor group ( V cbg
).
Reference the Variables section of the PROFIS Engineering report for more information on the following parameters :
e ́V :
c a1
:
Parameter for shear eccentricity
Parameter for edge distance in the direction of the applied shear load
Reference the Calculations section of the PROFIS Engineering report for more information on ψ ec , V
.
Equation ψ ed , V
Equation ACI 318-14 Chapter 17 Provision Comments for PROFIS Engineering
ψ ed , V
= 0.7 + 0.3
c a2 ≤1 . 0
1.5c a1
17.5 . 2.6 The modification factor for edge effect for a single anchor or group of anchors loaded in shear , ψ ed , V
, shall be calculated as follows using the smaller value of c a2 .
If c a2
≥ 1.5c a1 , then ψ ed , V
= 1.0 ( 17.5.2.6a )
If c a2
< 1.5c a1 , then ψ ed , V
= 0.7 + 0.3
c a2 ( 17 . 5 . 2 . 6b )
1.5c a1
ψ ed , V is a modification factor that is used to account for fixed edge distances perpendicular to the direction of the applied shear load that are less than
1.5c a1
. Shear concrete breakout failure calculations are predicated on the fixed edge distance in the direction of the applied shear load ( c a1
). Edge distances perpendicular to the direction of the applied shear load are designated c a2
. If c a2 is less than 1.5c a1 , ψ ed , V is calculated per Eq . ( 17.5.2.6b ).
For the application in the illustration below :
17.5 . 2.4 Where anchors are located in narrow sections of limited thickness such that both edge distances c a2 and thickness h a are less than 1.5c a1
, the value of c a1 used for A Vc in accordance with 17.5.2.1 as well as for the equations in 17.5.2.1 through 17.5.2.8 shall not exceed the largest of :
ψ ed , V
= 0.7 + 0.3 ( c a2
/ 1.5c a1 )
( a ) c a2 / 1.5 , where c a2 is the largest edge distance
( b ) h a
/ 1.5
( c ) s / 3 , where s is the maximum spacing perpendicular to direction of shear , between anchors within a group .
166 NORTH AMERICAN PROFIS ENGINEERING ANCHORING TO CONCRETE DESIGN GUIDE — ACI 318-14 Provisions