ESR-3912
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Most Widely Accepted and Trusted Page 2 of 10
Design parameters provided in Tables 2 and 3 of this
report are based on the 2021 (ACI 318-19), 2018 and 2015
IBC (ACI 318-14) and the 2012 IBC (ACI 318-11) unless
noted otherwise in Section 4.1.1 through 4.1.11 of this
report.
The strength design of anchors must comply with ACI
318-19 17.5.1.2, ACI 318-14 17.3.1 or ACI 318-11 D.4.1, as
applicable, except as required in ACI 318-19 17.10, ACI
318-14 17.2.3 or ACI 318-11 D.3.3, as applicable. Strength
reduction factors,
φ
, as given in Tables 2 and 3 of this report,
must be used in lieu of ACI 318-19 17.5.3, ACI 318-14
17.3.3 or ACI 318-11 D.4.3, as applicable, for load
combinations calculated in accordance with Section 1605.1
of the 2021 IBC or Section 1605.2 of the 2018, 2015 and
2012 IBC, Section 5.3 of ACI 318 (-19 and -14), or Section
9.2 of ACI 318-11, as applicable. Strength reduction factors,
φ
, as given in Appendix C of ACI 318-11 shall not be used.
The value of f
′
c
used in the calculation must be limited to a
maximum of 8,000 psi (55.2 MPa), in accordance with ACI
318-19 17.3.1, ACI 318-14 17.2.7 or ACI 318-11 D.3.7, as
applicable.
4.1.2 Requirements for Static Steel Strength in
Tension, N
sa
: The nominal static steel strength in tension,
N
sa
, of a single anchor must be calculated in accordance
with ACI 318-19 17.6.1, ACI 318-14 17.4.1 or ACI 318-11
Section D.5.1, as applicable, for the threaded steel element,
N
sa,rod
, as illustrated in Table 5 of this report. The lesser of
φ
N
sa,rod
in Table 5 or
φ
N
sa
provided in Table 2 for the Mini-
Undercut+ anchor shall be used as the steel strength in
tension.
4.1.3 Requirements for Static Concrete Breakout
Strength in Tension N
cb
or N
cbg
: The nominal concrete
breakout strength of a single anchor or a group of anchors
in tension, N
cb
or N
cbg
, respectively, must be calculated in
accordance with ACI 318-19 17.6.2, ACI 318-14 17.4.2 or
ACI 318-11 D.5.2, as applicable, with modifications as
described in this section. The basic concrete breakout
strength of a single anchor in tension in cracked concrete,
N
b
, must be calculated according to ACI 318-19 17.6.2.2,
ACI 318-14 17.4.2.2 or ACI 318-11 D.5.2.2, as applicable,
using the values of h
ef
and k
cr
as given in Table 2 of this
report. The nominal concrete breakout strength in tension in
regions where analysis indicates no cracking in accordance
with ACI 318-19 17.6.2.5.1(a), ACI 318-14 17.4.2.6 or ACI
318-11 D.5.2.6, as applicable, must be calculated with the
value of k
uncr
as given in Table 2 of this report and with ψ
c,N
= 1.0.
4.1.4 Requirements for Static Pullout Strength in
Tension, N
pn
: The nominal pullout strength of a single
anchor or a group of anchors, in accordance with ACI
318-19 17.6.3, ACI 318-14 17.4.3 or ACI 318-11 D.5.3, as
applicable, in cracked and uncracked concrete, N
p,cr
and
N
p,uncr
, respectively, is given in Table 2. In lieu of ACI
318-19 17.6.3.3, ACI 318-14 17.4.3.6 or ACI 318-11
D.5.3.6, as applicable, Ψ
c,P
= 1.0 for all design cases. The
nominal pullout strength in cracked concrete may be
adjusted by calculation according to Eq-1:
N
p,f
c
'
=
N
p,cr
�
f
'
c
'
2,500
(lb, psi) (Eq-1)
N
p,f
c
'
=
N
p,cr
�
f
'
c
'
17.2
(N, MPa)
where f
′
c
is the specified concrete compressive strength.
For hollow-core concrete slabs, the value of 6,000 psi
(41.4 MPa) must be substituted for the value of 2,500 psi
(17.2 MPa) in the denominator.
Where value for N
p,uncr
is not provided in Table 2 of this
report, the pullout strength in tension need not be
considered or evaluated.
4.1.5 Requirements for Static Steel Shear Capacity,
V
sa
: The nominal static steel strength in shear, V
sa
, of a
single anchor must be taken as the threaded steel element
strength, V
sa,rod
, given in Table 5 of this report. The lesser of
φ
V
sa,rod
in Table 5 or
φ
V
sa
in Table 3 for the Mini-Undercut+
anchor shall be used as the steel strength in shear, and
must be used in lieu of the values derived by calculation
from ACI 318-19 Eq. 17.7.1.2a or 17.7.1.2b, ACI 318-14 Eq.
17.5.1.2a or 17.5.1.2b; or ACI 318-11 Eq. D-28 or D-29, as
applicable.
4.1.6 Requirements for Static Concrete Breakout
Strength in Shear, V
cb
or V
cbg
: The nominal concrete
breakout strength of a single anchor or group of anchors
in shear, V
cb
or V
cbg
, respectively, must be calculated in
accordance with ACI 318-19 17.7.2, ACI 318-14 17.5.2 or
ACI 318-11 D.6.2, as applicable, with modifications as
described in this section. The basic concrete breakout
strength of a single anchor in shear, V
b
, must be calculated
in accordance with ACI 318-19 17.7.2.2.1, ACI 318-14
17.5.2.2 or ACI 318-11 D.6.2.2, as applicable, using the
value of ℓ
e
and d
a
given in Table 3 of this report.
For anchors installed in hollow-core concrete slabs, the
nominal concrete breakout strength of a single anchor or
group of anchors in shear, V
cb
or V
cbg
, must be calculated
in accordance with ACI 318-19 17.7.2, ACI 318-14 17.5.2
or ACI 318-11 D.6.2, as applicable, using the actual
member cover thickness of the hollow-core, h
min,core
, in lieu
of h
min
, in the determination of A
vc
. Minimum member cover
thickness for anchors in the hollow-core concrete slabs is
given in Table 1 and shown in Figure 4 of this report, as
applicable.
4.1.7 Requirements for Static Concrete Pryout
Strength in Shear, V
cp
or V
cpg
: The nominal concrete
pryout strength of a single anchor or group of anchors, V
cp
or V
cpg
, respectively, must be calculated in accordance
with ACI 318-19 17.7.3, ACI 318-14 17.5.3 or ACI 318-11
D.6.3, as applicable, using the value of k
cp
provided in Table
3, and the value of N
cb
or N
cbg
as calculated in Section 4.1.3
of this report.
4.1.8 Requirements for Seismic Design:
4.1.8.1 General: For load combinations including seismic
loads, the design must be performed in accordance with ACI
318-19 17.10, ACI 318-14 17.2.3 or ACI 318-11 D.3.3, as
applicable. Modifications to ACI 318-19 17.10 or ACI
318-14 17.2.3 shall be applied under 2021, 2018 and 2015
IBC Section 1905.1.8, as applicable. For the 2012 IBC,
Section 1905.1.9 shall be omitted.
The nominal steel strength and nominal concrete breakout
strength for anchors in tension, and the nominal concrete
breakout strength and pryout strength for anchors in shear,
must be calculated according to ACI 318-19 17.6 and 17.7,
ACI 318-14 17.4 and 17.5 or ACI 318-11 D.5 and D.6,
respectively, as applicable, taking into account the
corresponding values in Tables 2 and 3 of this report.
The anchors comply with ACI 318 (-19 and -14) 2.3 or ACI
318-11 D.1, as applicable, as brittle steel elements and must
be designed in accordance with ACI 318-19 17.10.4,
17.10.5 or 17.10.6 and 17.10.7, ACI 318-14 17.2.3.4,
17.2.3.5, 17.2.3.6, and 17.2.3.7; ACI 318-11 D.3.3.4,
D.3.3.5, D.3.3.6 and D.3.3.7; or ACI 318-08 D.3.3.4, D.3.3.5
and D.3.3.6, as applicable.
The
3
/
8
-inch-diameter (9.5 mm) Mini-Undercut+ anchors
may be installed in regions designated as IBC Seismic
Design Categories A through F.
4.1.8.2 Seismic Tension: The nominal steel strength and
nominal concrete breakout strength for anchors in tension
must be calculated according to ACI 318-19 17.6.1 and