HAC_Technical-Guide
190 191
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
7.1 & 7.2 Introduction to
Anchor Channel Design
7.3 Anchor Channel Tension Design 7.4 Anchor Channel Shear Design (y) 7.4 Anchor Channel Shear Design (X)
7.5 Interaction Equations
(Combined Loading)
7.6 Seismic Design
Steel Concrete Steel Concrete Steel Concrete
Concrete Pryout Strength of Anchor Channels in Shear
Longitudinal to the Channel Axis фV
cp,x
Failure load associated with pry-
out; The load-bearing mechanism
of a single headed stud anchorage
subjected to a shear load is illustrated
schematically in Figure 7.4.47. The
applied shear load gives rise to
bearing stresses in the concrete. With
increasing load, the surface concrete
is crushed or spalled, shifting the
centroid of resistance V
b
to a location deeper in the concrete.
Figure 7.4.4.7 — Load-bearing mechanism of headed stud anchorage
subjected to shear loading (schematic).
Also with increasing load and stud elongation, the baseplate
rotates and loses contact with the concrete on the loaded side.
These two mechanisms act to further increase the eccentricity
between the applied shear load V and the stress resultant Vb
in the concrete. The moment resulting from this eccentricity
generates a compressive force C between baseplate and
concrete and a tensile force N in the stud. If the tensile force
in the stud exceeds the tensile capacity associated with the
maximum fracture surface that can be activated by the stud,
a fracture surface originating at the head of the stud and
projecting in conical fashion behind the stud forms. This is
defined as a pry-out failure.
0.2
)(,NV
cbxcp,
=
=
cp
cp
k
Nlbk
ESR-3520 Equation (41)
The nominal pryout strength, V
cp,x
, in shear of a single anchor
of an anchor channel without anchor reinforcement shall be
computed in accordance with ESR 3520 Eq. (41).
Ncp,Nc,Nco,Ned,Ns,bcb
ψψψψψNN ×××××=
where:
k
cp
= shall be taken from Table 8-10
N
cb
= nominal concrete breakout strength of the anchor under
consideration, lb (N), determined in accordance with
breakout in tension; however in the determination of the
modification factor ψ
s,N
, the values N
a
ua,1
and N
a
ua,i
in Eq.
(10) shall be replaced by V
a
ua,1
and V
a
ua,i
, respectively.
The nominal pryout strength, V
cp,y
, in shear of a single anchor of
an anchor channel with anchor reinforcement shall not exceed:
)(,N.75.0VV
cbxcp,cp
Nlbkcp==
ESR-3520 Equation (42)
The ICC-ES Acceptance Criteria AC232 includes amendments
to the ACI 318 anchoring to concrete provisions. These
amendments are given in Section 3.1 Strength Design —
Amendments to ACI 318. Part D.6.3.2 (ACI 318-11) and Section
17.5.3.2 (ACI 318-14) of these amendments requires the factor
ψ
s,N
to be modified when calculating concrete pryout strength in
shear. All of the parameters used to calculate ψ
s,N
in tension are
used except the parameter (N
a
ua,i
/ N
a
ua,1
). The shear loads acting
on the anchor elements are substituted for the tension loads
such that (V
a
ua,i
/ V
a
ua,1
) is used instead of (N
a
ua,i
/ N
a
ua,1
).
Minimum Member Thickness, Anchor Spacing, and Edge
Distance:
Anchor channels shall satisfy the requirements for edge
distance, spacing, and member thickness.
The minimum edge distance, minimum and maximum anchor
spacing and minimum member thickness shall be taken from
Table 8-1 ESR-3520. The critical edge distance, c
ac
, shall be
taken from Table 8-4 ESR-3520.
c
ac
: Edge distance required to develop full concrete capacity in
absence of anchor reinforcement.
Requirements for lightweight concrete:
For the use of anchor channels in lightweight concrete, the
modification factor λ shall be taken as 0.75 for all-lightweight
concrete and 0.85 for sand-lightweight concrete. Linear
interpolation shall be permitted if partial sand replacement is
used.
7.5 INTERACTION
EQUATIONS:
If forces act in more than one direction, the combination
of loads has to be verified. Anchor channels subjected to
combined tension and shear loads shall be designed to satisfy
the following requirements by distinguishing between steel
failure of the channel bolt, steel failure modes of the channel
and concrete failure modes. Interaction equations for each
anchor channel element are required. Moreover, concrete and
steel utilizations need not to be combined. The verification of up
to 5 interaction equations are required.
Steel Failure of Channel Bolts Under Combined Loads
0.1
V
V
N
N
2
ss
ua
b
2
ss
ua
b
£
÷
÷
ø
ö
ç
ç
è
æ
+
÷
÷
ø
ö
ç
ç
è
æ
ff
ESR-3520 Equation (43)
( ) ( )
[ ]
5.0
2
xua,
b
2
yua,
b
ua
b
VVV +=
This verification is not required in case of shear load with lever
arm as Eq. (28) accounts for the interaction.
Steel Failure Modes of Anchor Channels Under Combined
Loads:
Interaction equations based on Acceptance Criteria 232,
February 2019. ICC ESR-3520 to be updated.
a) Anchor and connection between anchor and channel:
2
,,
,,
,, ,,
max , max , max , 1.0
aa
aa
aa
ua y ua y
ua x ua x
ua ua
sa sc sa y sc y sa x sc x
VV
VV
NN
NN V V V V
a
a
ff f f f f
æö
æö
æö
++£
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ESR-3520 Equation (44)
where:
α = 2 for anchor channels with max (V
sa,y
; V
sc,y
) ≤ min (N
sa
; N
sc
)
In all other cases:
α = 1 for anchor channels with max (V
sa,y
; V
sc,y
) > min (N
sa
; N
sc
)
It shall be permitted to assume reduced values for V
sa,y
and V
sc,y
corresponding to the use of an exponent α = 2. In this case the
reduced values for V
sa,y
and V
sc,y
shall also be used.
b) At the point of load application:
2
,
,
,,
1.0
b
b
b
ua y
ua x
ua
sl sl y sl x
V
V
N
NV V
a
a
ff f
æö
æö
æö
++£
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2
,,
,
, ,,
1.0
b
b
u flex ua y
ua x
s flex sl y sl x
MV
V
M VV
aa
f ff
æ öæ ö
æö
++£
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ESR-3520 Equation (45)
ESR-3520 Equation (46)
where:
α = 2 for anchor channels with V
sl,y
≤ N
s,l
α = 1 for anchor channels with V
sl,y
> N
s,l
It shall be permitted to assume reduced values for V
sl,y
corresponding to the use of an exponent α = 2. In this case the
reduced value for V
sl,y
shall also be used.
Concrete failure modes of anchor channels under combined
loads:
Concrete Failure Modes of Anchor Channels Under
Combined Loads:
For concrete failure modes, anchor channels shall be designed
to satisfy the requirements given in a) through d). D.7.4.3,
Section D.7.4.3 (ACI 318-14) :
Section D.7.4.3.1, Section 17.6.4.3.1 (ACI 318-14) through
D.7.4.3.3, Section 17.6.4.3.3 (ACI 318-14).
a) D.7.4.3.1, Section 17.6.4.3.1 (ACI 318−14) − If
,
,
,,
0.2
a
a
ua y
ua x
nc y nc x
V
V
VV
ff
æö
æö
+ £
ç÷
ç÷
ç÷
ç÷
èø
èø
then the full strength in tension shall be permitted:
,
1.0
a
ua y
nc
N
N
f
æö
£
ç÷
ç÷
èø
b) D.7.4.3.2, Section 17.6.4.3.2 (ACI 318−14) − If
,
0.2
a
ua y
nc
N
N
f
æö
£
ç÷
ç÷
èø
then the full strength in shear shall be permitted:
,
,
,,
1.0
a
a
ua y
ua x
nc y nc x
V
V
VV
ff
æö
æö
+ £
ç÷
ç÷
ç÷
ç÷
èø
èø
c) D.7.4.3.3, Section 17.6.4.3.3 (ACI 318−14)− If
,,
,
,,
0.2 0.2
aa
a
ua y ua y
ua x
nc y nc x nc
VN
V
and
VV N
ff f
æö
æö
æö
+> >
ç÷
ç÷
ç÷
ç÷
ç÷
ç÷
èø
èø
èø
then Eq. (D−32e), Eq. ( 17.6.4.3.a ACI318−14) applies:
,
,
,,
1.2
a
a
a
ua y
ua x
ua
nc nc y nc x
V
V
N
NV V
ff f
æö
æö
æö
++£
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d) D.7.4.3.4, Section 17.6.4.3.4 (ACI 318−14) − Alternatively,
instead of satisfying “a” through “c” , the interaction equation
may be satisfied:
5
5
5
3
3
3
,
,
,,
1.0
a
a
a
ua y
ua x
ua
nc nc y nc x
V
V
N
NV V
ff f
æö
æö
æö
++£
ç÷
ç÷
ç÷
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