1. Anchor
Channel Systems
2. HAC
Portfolio
3. HAC
Applications
4. Design
Introduction
5. Base material
6. Loading
7. Anchor Channel
Design Code
8. Reinforcing
Bar Anchorage
9. Special Anchor
Channel Design
10. Design
Software
ψ s,N,a1 : Tension modification is factor for spacing of a1 the
case shown in Figure 9.2.10.8 should be found out using the
Equation 9.2.10.7 c. The tension concrete breakout capacity of
anchor a 1 gets reduced because of presence of anchor a 2 , b 2
and b 1 . Please refer to the Equation 9.2.10.7 c for calculating
the modification factor for a 1 . The s a1,b1 and s a1,b2 distances are
evaluated by using Equation 9.2.10.7 a and Equation 9.2.10.7 b.
ψ s,N,a1 is evaluated using Equation 9.2.10.7 c.
1
é æ
s i
1 + å i = 2 ê ç ç 1 -
ê è s cr,N
ë
1.5
a
ù
ö
N ua
, j
÷ ÷ × a ú
N ua ,1 ú
ø
û
Equation 9.2.10.7
y s,N,a1 =
Where
xi, xj, yi, yj coordinate of the anchors from the corner (Figure
9.2.10.7)
90°Corner: Lets consider the anchor a 1 of anchor channel a
with tension N aua,a1 of channel a. To find the modification factor
ψ N used in determining concrete breakout capacity in tension
and shear of a 1 . Please refer Figure 9.2.10.8.
s a 1, b 1 = ( x b ,1 - x a ) + ( y a ,1 - y b )
2
2 Equation 9.2.10.7 a
2 Equation 9.2.10.7 b
s a 1, b 2 = ( x b ,2 - x a ) + ( y a ,1 - y b )
Equation 9.2.10.7 g
1.5
é æ s
ö
N a , b 1 ù é æ s a1,b2
ú + ê ç 1 -
1 + ê ç ç 1 - a1,b1 ÷ ÷ × ua
a
N ua
s cr,N ø
s cr,N
ê è
ê ç
, a 1 ú
ë
û ë è
1.5
a
ù é æ s
ö
N ua
, b 2
a1,a2
÷ ÷ × a ú + ê ç ç 1 -
N ua , a 1 ú ê è
s cr,N
ø
û ë
1.5
a
ù
ö
N ua
, a 2
÷ ÷ × a ú
N ua , a 1 ú
ø
û
Equation 9.2.10.7 c
ψ co,N : (modification factor for corner influence) The true edge
distance is taken into consideration as shown in the Figure
9.2.10.8 for 90° corner to determine reduction factor for corner
distance c a2 . Please refer to Equation 9.2.10.7 d for ψ co,N .
c cr , N = 0 . 5 s cr , N ³ 1 . 5 h ef
If c a2 ³ c cr, N
then y co, N = 1.0
Equation 9.2.10.7 d
If c a2 < c cr, N
0.5
then y co, N
æ c ö
= ç ç a2 ÷ ÷ £ 1.0
è c cr, N ø
c a2 = distance of the anchor under consideration to the corner
refer Figure 9.2.10.8 .
If c a2 ³ c cr, N
c cr , N = 0 . 5 s cr , N ³ 1 . 5 h ef
then y co, N = 1.0
Equation 9.2.10.7 m
If c a2 < c cr, N
æ c ö
then y co, N = ç ç a2 ÷ ÷
è c cr, N ø
0.5
£ 1.0
C a2 = distance of the anchor under consideration to the corner
refer Figure 9.2.10.10
1
1.5
1.5
1.5
a
é æ s
ù é æ s
ö
ö
ö
N
N a ù é æ s
N a ù
, b 1
ú + ê ç 1 - a1,b2 ÷ × ua a , b 2 ú + ê ç 1 - a1,a2 ÷ × ua a , a 2 ú
1 + ê ç ç 1 - a1,b1 ÷ ÷ × ua
a
ç
÷
ç
÷
N ua , a 1 ú ê è
N ua , a 1 ú ê è
N ua , a 1 ú
s cr,N ø
s cr,N ø
s cr,N ø
ê è
ë
û ë
û ë
û
Equation 9.2.10.7 h
ψ co,N : (modification factor for corner influence) The true edge
distance is taken into consideration as shown in the Figure
9.2.10.9 for Acute angle corner to determine of reduction factor
for corner distance c a2 . The perpendicular line is drawn from a 1
of anchor channel a on to edge 2 to get the side edge distance
c a2 . Please refer to Equation 9.2.10.7 i for ψ co,N .
If c a2 ³ c cr, N
then y co, N = 1.0
c cr , N = 0 . 5 s cr , N ³ 1 . 5 h ef
If c a2 < c cr, N
then y co, N
æ c ö
= ç ç a2 ÷ ÷
è c cr, N ø
Equation 9.2.10.7 i
0.5
£ 1.0
Obtuse angle Corner: Lets consider the anchor a 1 of
anchor channel a with tension N aua,a1 of channel a. To find the
modification factor ψ N used in determining concrete breakout
capacity in tension of a 1 .
s a 1, b 1 = ( x b 1 - x a ) + ( y a 1 - y b 1 ) 2 2
s a 1, b 2 = ( x b 2 - x a ) + ( y b 2 + y a 1 )
2
Figure 9.2.10.9 — Acute Corner.
Equation 9.2.10.7 j
2
Equation 9.2.10.7 k
ψ s,N,a1 : Tension modification is factor for spacing of a 1 the
case shown in Figure 9.2.10.10 should be found out using the
Equation 9.2.10.7 l. The tension concrete breakout capacity of
anchor a 1 gets reduced because of presence of anchor a 2 , b 2
and b 1 . Please refer to the Equation 9.2.10.7 l for calculating
the modification factor for a1. The s a1,b1 and s a1,b2 distances are
evaluated by using Equation 9.2.10.7 j and Equation 9.2.10.7 k.
y s,N,a1 =
1
1.5
1.5
1.5
a
a
a
é æ s
ù é æ s
ù é æ s
ù
ö
ö N ua
ö N ua
N ua
a1,b1
, b 1
a1,b2
, b 2
a1,a2
, a 2
1 + ê ç ç 1 -
÷ × a ú + ê ç ç 1 -
÷ × a ú + ê ç ç 1 -
÷ × a ú
÷
÷
÷
N ua , a 1 ú ê è
N ua , a 1 ú
s cr,N ø N ua , a 1 ú ê è
s cr,N ø
s cr,N ø
ê è
ë
û ë
û ë
û
Equation 9.2.10.7 l
ψ co,N : (modification factor for corner influence) The true edge
distance is taken into consideration as shown in the Figure
9.2.10.10 for obtuse angle corner to determine of reduction
242
c cr , N = 0 . 5 s cr , N ³ 1 . 5 h ef
2
+ ( y b 2 - y a 1 )
2
factor for corner distance c a2 . Please refer to Equation 9.2.10.7
m for ψ co,N .
s cr,N,corne critical anchor spacing for tension
( x b 2 - x a )
1
n=n ch1 +n ch2 is the number of all the anchors of the two channels
s i is the relative distance of two anchors
s a 1, b 2 =
2
Equation 9.2.10.7 f
14. Design
Example
Verification: ϕ·N cb ≥ N aua
n + 1
2
13. Field Fixes
Figure 9.2.10.8 — 90° Corner.
y s,N =
2
y s,N,a1 =
The concrete cone verification remains the same:
The only parameter which is adjusted is the modification factor
to take the loading of the adjacent anchors ψ s,N into account:
( x b 1 - x a ) + ( y a 1 - y b 1 )
ψ s,N,a1 : Tension modification is factor for spacing of a 1 the
case shown in Figure 9.2.10.9 should be found out using the
Equation 9.2.10.7 h. The tension concrete breakout capacity of
anchor a 1 gets reduced because of presence of anchor a 2 , b 2
and b 1 . Please refer to the Equation 9.2.10.7 h for calculating
the modification factor for a 1 . The s a1,b1 and s a1,b2 distances are
evaluated by using Equation 9.2.10.7 f and Equation 9.2.10.7 g.
Figure 9.2.10.7 —
definition of the relative distance of the anchors in a
anchor channels group.
N cb = N cb . y s , N . y ed , N . y co , N . y c , N . y cp , N
s a 1, b 1 =
12. Instructions
for Use
Acute angle Corner: Lets consider the anchor a 1 of anchor
channel a with tension N aua,a1 of channel a. To find the
modification factor ψ N used in determining concrete breakout
capacity in tension of a 1 . Please refer Figure 9.2.10.9.
11. Best
Practices
Figure 9.2.10.10 — Obtuse Corner.
Cast-In Anchor Channel Product Guide, Edition 1 • 02/2019
243