HAC_Technical-Guide

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Cast-In Anchor Channel Product Guide, Edition 1 • 02/2019
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
11. Best
Practices
12. Instructions
for Use
13. Field Fixes
14. Design
Example
9.1 Overview of Hilti Anchor Channel Systems Design
9.2 HAC and HAC-T Design 9.3 HAC CRFoS U Design 9.4 & 9.5 Post Tensioned Slabs 9.6 HAC EDGE Design
Figure 9.2.10.7 — definition of the relative distance of the anchors in a
anchor channels group.
The concrete cone verification remains the same:
Verification: ϕ·N
cb
≥ N
a
ua
, , ,, ,.. . ..sNedNcoNcNcpN
cb cb
NN
yy y yy
=
The only parameter which is adjusted is the modification factor
to take the loading of the adjacent anchors ψ
s,N
into account:
s,N
1.5
1
i
,
2
cr,N ,1
1
s
11
s
a
n
ua j
a
i
ua
N
N
y
+
=
=
éù
æö
êú
+
ç÷
ç÷
êú
èø
ëû
å
Equation 9.2.10.7
Where
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
cr,N,corne
critical anchor spacing for tension
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
a
ua,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.
22
1, 1 ,1 ,1
( )( )
ab b a a b
s xx yy= - + -
Equation 9.2.10.7 a
22
1, 2 ,2 ,1
( )( )
ab b a a b
s xx yy= - + -
Equation 9.2.10.7 b
Figure 9.2.10.8 — 90° Corner.
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.
s,N,a1
1.5 1.5 1.5
a1,b1 , 1 a1,b2 , 2 a1,a2 , 2
cr,N , 1 cr,N , 1 cr,N , 1
1
ss s
11 1 1
sss
aa a
ua b ua b ua a
aaa
ua a ua a ua a
NNN
NNN
y
=
é ùé ùé ù
æö æö æö
ê úê úê ú
+ + +
ç÷ ç÷ ç÷
ç÷ ç÷ ç÷
ê úê úê ú
èø èø èø
ë ûë ûë 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
.
1.0
c
c
cc If
1.0
cc If
0.5
Ncr,
a2
Nco,
Ncr,a2
Nco,
Ncr,a2
£
÷
÷
ø
ö
ç
ç
è
æ
=
<
=
³
y
y
then
then
efNcrNcr
hsc 5.15.0
,,
³=
Equation 9.2.10.7 d
c
a2
= distance of the anchor under consideration to the corner
refer Figure 9.2.10.8 .
Acute angle Corner: Lets consider the anchor a
1
of anchor
channel a with tension N
a
ua,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.
( ) ( )
22
1, 1 1 1 1ab b a a b
s xx yy= - + -
Equation 9.2.10.7 f
( ) ( )
22
1, 2 2 2 1ab b a b a
s xx yy= - + -
Equation 9.2.10.7 g
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.
s,N,a1
1.5 1.5 1.5
a1,b1 , 1 a1,b2 , 2 a1,a2 , 2
cr,N , 1 cr,N , 1 cr,N , 1
1
ss s
11 1 1
sss
aa a
ua b ua b ua a
aaa
ua a ua a ua a
NNN
NNN
y
=
é ùé ùé ù
æö æö æö
ê úê úê ú
+ + +
ç÷ ç÷ ç÷
ç÷ ç÷ ç÷
ê úê úê ú
èø èø èø
ë ûë ûë 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
.
efNcrNcr
hsc 5.15.0
,,
³=
1.0
c
c
cc If
1.0
cc If
0.5
Ncr,
a2
Nco,
Ncr,a2
Nco,
Ncr,a2
£
÷
÷
ø
ö
ç
ç
è
æ
=
<
=
³
y
y
then
then
Equation 9.2.10.7 i
Obtuse angle Corner: Lets consider the anchor a
1
of
anchor channel a with tension N
a
ua,a1
of channel a. To find the
modification factor ψ
N
used in determining concrete breakout
capacity in tension of a
1
.
( ) ( )
22
1, 1 1 1 1ab b a a b
s xx yy= - + -
Equation 9.2.10.7 j
( ) ( )
22
1, 2 2 2 1ab b a b a
s xx yy= - ++
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.
s,N,a1
1.5 1.5 1.5
a1,b1 , 1 a1,b2 , 2 a1,a2 , 2
cr,N , 1 cr,N , 1 cr,N , 1
1
ss s
11 1 1
sss
aa a
ua b ua b ua a
aaa
ua a ua a ua a
NNN
NNN
y
=
é ùé ùé ù
æö æö æö
ê úê úê ú
+ + +
ç÷ ç÷ ç÷
ç÷ ç÷ ç÷
ê úê úê ú
èø èø èø
ë ûë ûë 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
factor for corner distance c
a2
. Please refer to Equation 9.2.10.7
m for ψ
co,N
.
efNcrNcr
hsc 5.15.0
,,
³=
1.0
c
c
cc If
1.0
cc If
0.5
Ncr,
a2
Nco,
Ncr,a2
Nco,
Ncr,a2
£
÷
÷
ø
ö
ç
ç
è
æ
=
<
=
³
y
y
then
then
efNcrNcr
hsc 5.15.0
,,
³=
Equation 9.2.10.7 m
C
a2
= distance of the anchor under consideration to the corner
refer Figure 9.2.10.10
Figure 9.2.10.9 — Acute Corner.
Figure 9.2.10.10 — Obtuse Corner.