ACI-349 Approval for HSL-3 Heavy-Duty Expansion Anchor
Report WC 11-02 Hilti HSL-3 Compliance September 30, 2011
11
TABLE 1—HSL-3 DESIGN INFORMATION
Design parameter
Symbol Units
Nominal anchor diameter
M8 M10 M12 M16 M20 M24
Anchor O.D.
d
o
mm
12 15 18 24 28 32
in.
0.47 0.59 0.71 0.94 1.10 1.26
Effective min. embedment depth
h
ef,min
mm
60 70 80 100 125 150
in.
2.36 2.76 3.15 3.94 4.92 5.91
Strength reduction factor for tension,
steel failure modes
1
φ
-
0.80
Strength reduction factor for shear, steel
failure modes
1
φ
-
0.75
Strength reduction factor for concrete
breakout, side-face blowout, pullout or
pryout strength
1
φ
-
0.75
Yield strength of anchor steel
f
ya
lb/in
2
92,800
Ultimate strength of anchor steel
f
uta
lb/in
2
116,000
Tensile stress area
A
se
in
2
0.057 0.090 0.131 0.243 0.380 0.547
Steel strength in tension
N
s
lb
6,612 10,440 15,196 28,188 44,080 63,452
Effectiveness factor uncracked concrete
k
uncr
-
24 24 24 24 24 24
Effectiveness factor cracked concrete
2
k
cr
-
17 21 21 21 21 21
Modification factor for cracked and
uncracked concrete – concrete failure
3
Ψ
3
-
1.4 1.1 1.1 1.1 1.1 1.1
Pullout strength uncracked concrete
4
N
p,uncr
lb
4,204 - - - - -
Pullout strength cracked concrete
4
N
p,cr
lb
2,810 4,496 - - - -
Modification factor for cracked and
uncracked concrete – pull out failure
4
Ψ
4
-
1.0 1.0 - - - -
Steel strength in shear HSL-3,-B,-SH,-SK
V
s
lb
7,239 10,229 14,725 26,707 39,521 45,951
Steel strength in shear HSL-3-G
V
s
lb
6,070 8,385 12,162 22,683 33,159
Coefficient for pryout strength
k
cp
-
1.0 2.0
Load bearing length of anchor in shear
ℓ
mm
24 30 36 48 56 64
in.
0.94 1.18 1.42 1.89 2.20 2.52
Tension pullout strength seismic
5
N
seismic
lb
- - - - - 14,320
Steel strength in shear, seismic
6
HSL-3,-B,-SH,-SK
V
seismic
lb
4,609 8,453 11,892 24,796 29,135 38,173
Steel strength in shear, seismic
6
HSL-3-G
lb
3,777 6,924 9,824 21,065 24,459
Axial stiffness in service
load range
7
uncracked
concrete
β
uncr
10³ lb/in.
300
cracked
concrete
β
cr
30 70 130 130 130 130
For SI: 1 inch = 25.4 mm, 1 lbf = 4.45 N, 1 psi = 0.006895 MPa. For pound-inch units: 1 mm = 0.03937 inches.
1
See ACI 349-01, Appendix B, section B.4.4. For use with the load combinations of ACI 349-01, section 9.2.
2
See ACI 349-01 Appendix B, section B.5.2.2 and B.5.2.8
3
See ACI 349-01 Appendix B, section B.5.2.6
4
In lieu of ACI 349-01 Appendix B, section B.5.3.1 for pull out failure, N
p,cr
shall be used to calculate the pull out strength for cracked
concrete and N
p,uncr
shall be used to calculate the pull out strength for uncracked concrete. The modification factor
Ψ
4
shall then be taken
as 1.0.
5
N
seismic
shall be used in lieu of N
p,cr
for load combinations that include earthquake loads.
6
V
seismic
shall be used in lieu of V
s
for load combinations that include earthquake loads.
7
Minimum axial stiffness values, maximum values may be 3 times larger (e.g., due to high-strength concrete).