Product Technical Guides : US-EN Anchor Fastening - August 2021 | Page 323

Anchor Fastening Technical Guide , Edition 22
DESIGN DATA IN CONCRETE PER CSA A23.3
CSA A23.3 Annex D Design
Limit State Design of anchors is described in the provisions of CSA A23.3 Annex D for post-installed anchors tested and assessed in accordance with ACI 355.2 for mechanical anchors and ACI 355.4 for adhesive anchors . Tables 37 , 38 , 42 and 43 in this section contains the Limit State Design tables that are based on the published loads in ICC-ES Evaluation Report ESR 4266 and converted for use with CSA A23.3 Annex D . Tables 40 , 41 , 45 and 46 are Hilti Simplified Design Tables which are pre-factored resistance tables based on the design parameters and variables in Tables 37 , 38 , 42 and 43 . All the figures in the previous ACI 318 Chapter 17 design section are applicable to Limit State Design and the tables will reference these figures .
For a detailed explanation of the tables developed in accordance with CSA A23.3 Annex D , refer to Section 3.1.8 . Technical assistance is available by contacting Hilti Canada at ( 800 ) 363 4458 or at www . hilti . ca .
Table 37 — Hilti KB-TZ2 carbon steel tension design information in accordance with CSA A23.3 Annex D , applicable for both hammer and core drilled installations 1
Design parameter Symbol Units
Nominal anchor diameter ( in .) 1 / 4 3 / 8 1 / 2 5 / 8 3 / 4 1 A23.3
Effective min . embedment 2
h ef
in .
( mm )
1-1 / 2
( 38 )
1-1 / 2
( 38 )
2
( 51 )
2-1 / 2 1-1 / 2
( 64 )
( 38 )
2
( 51 )
2-1 / 2 3-1 / 4 2-3 / 4 3-1 / 4
( 64 )
( 83 )
( 70 )
( 83 )
4
( 102 )
3-1 / 4 3-3 / 4 4-3 / 4
4
5-3 / 4
( 83 )
( 95 )
( 121 ) ( 102 ) ( 146 )
Min . concrete thickness
h min
in .
( mm )
See Table 5
Minimum edge distance
c min
in .
( mm )
See Table 5
Minimum anchor spacing
s min
in .
( mm )
See Table 5
Tension , steel failure modes
Steel embed . material resistance factor for
Φ s
-
0.85
0.85
0.85
0.85
0.85
0.85
8.4.3
reinforcement
Resistance modification factor for tension , steel failure modes 3
R
-
0.80
0.80
0.80
0.80
0.80
0.80
D . 5.3
Min . specified yield strength
f ya
psi
100,900
( N / mm 2 )
( 696 )
100,900
( 696 )
96,300
( 664 )
87,000
( 600 )
84,700
( 584 )
75,000
( 517 )
Min . specified ult . strength
f ut
psi
122,400
( N / mm 2 )
( 844 )
126,200
( 870 )
114,000
( 786 )
106,700
( 736 )
105,900
( 730 )
88,000
( 607 )
Effective tensile stress area
A se , N
in 2
( mm 2 )
0.024
( 15.4 )
0.051
( 33.2 )
0.099
( 63.6 )
0.164
( 106.0 )
0.239
( 154.4 )
0.470
( 303.2 )
Factored steel resistance in tension
N sar
lb
( kN )
1,985
( 8.8 )
4,420
( 19.7 )
7,645
( 34.0 )
11,925
( 53.0 )
17,230
( 76.6 )
28,145
( 125.2 )
Tension , concrete failure modes
Anchor category
-
-
3
1
1
1
1
1
D . 5.3 ( c )
Concrete material resistance factor
Φ c
-
0.65
0.65
0.65
0.65
0.65
0.65
8.4.2
Resistance modification factor for tension and shear , concrete failure modes ,
R
-
0.75
1.00
1.00
1.00
1.00
1.00
D . 5.3 ( c )
Condition B 5
Coeff . for factored conc .
breakout resistance ,
k c , uncr
-
10.0
10.0
10.0
10.0
11.3
11.3
10.0
10.0
10.0
10.0
10.0
11.3
11.3 7
10.0
11.3
10.0
D . 6.2.2
uncracked concrete
Coeff . for factored conc . breakout resistance , cracked
k c , cr
-
7.1
8.8
8.8
7.1
10.0
8.8
8.8
7.1
8.8
8.8
7.1
8.8
8.8
8.8
8.8
8.8
D . 6.2.2
concrete
Modification factor for anchor resistance , tension ,
Ψ c , N
-
1.0
1.0
1.0
1.0
1.0
1.0
uncracked conc . 4
Critical edge distance
c ac
in .
( mm )
4
( 102 )
5
4-3 / 8 5-1 / 2
8
5-1 / 2 6-3 / 4
10
10
11-1 / 2 8-3 / 4
12
10
9
11
16
( 127 ) ( 111 ) ( 140 ) ( 203 ) ( 140 ) ( 171 ) ( 254 ) ( 254 ) ( 292 ) ( 222 ) ( 305 ) ( 254 ) ( 229 ) ( 279 ) ( 406 )
Factored pullout resistance in
20 MPa uncracked concrete 6
N pr , uncr
lb
( kN )
1,055
( 4.7 )
N / A
N / A 2 , 865 N / A
( 12.7 )
N / A
N / A
N / A 3 , 770 N / A 6 , 300 N / A
( 16.8 )
( 28.0
N / A
N / A
N / A
N / A
D . 6.3.2
Factored pullout resistance in
20 MPa cracked concrete 6
N pr , cr
lb
( kN )
325
( 1.4 )
N / A
N / A
N / A
N / A
N / A
N / A
N / A
N / A
N / A
N / A
N / A
N / A 6 , 000 N / A 8 , 275
( 26.7 )
( 36.8 )
D . 6.3.2
Factored pullout resistance in
lb
325
5,880
8,275
20 MPa cracked concrete , seismic 6
N pr , eq
( kN )
( 1.4 )
N / A
N / A
N / A
N / A
N / A
N / A
N / A
N / A
N / A
N / A
N / A
N / A
( 26.1 )
N / A
( 36.8 )
D . 6.3.2
Normalization factor , uncracked concrete
n uncr
-
0.20
0.22
0.24
0.35
0.50
0.42
0.29
0.35
0.50
0.48
0.50
0.35
0.31
0.39
N / A
0.38
Normalization factor , cracked concrete , seismic
n cr
-
0.39
0.50
0.46
0.28
0.47
0.50
0.48
0.40
0.50
0.47
0.50
0.36
0.42
0.29
N / A
0.50
1 Design information in this table is taken from ICC-ES ESR-4266 , dated December , 2020 , and revised July , 2021 Tables 4 and 6 , and converted for use with CSA A23.3 Annex D . 2 See Figure 1 of this document . 3 The KB-TZ2 carbon steel anchor is considered a ductile steel element as defined by CSA A23.3 Annex D section D . 2 . 4 For all design cases , Ψ c , N
= 1.0 . The appropriate coefficient for breakout resistance for cracked concrete ( k c , cr ) or uncracked concrete ( k c , uncr
) must be used . 5 For use with the load combinations of CSA A23.3 chapter 8 . Condition B applies where supplementary reinforcement in conformance with CSA A23.3 section D . 5.3 is not provided , or where pullout or pryout strength governs . For cases where the presence of supplementary reinforcement can be verified , the resistance modification factors associated with Condition A may be used . 6 For all design cases , Ψ c , P
= 1.0 . Tabular value for pullout strength is for a concrete compressive strength of 2,900 psi ( 20.0 M Pa ). Pullout strength for concrete compressive strength greater than 2,900 psi ( 20.2 MPa ) may be increased by multiplying the tabular pullout strength by ( f ́c / 2,900 ) n for psi , or ( f ́c / 20.2 ) n for MPa ,
7 For core drilled installation k c , uncr
= 10.0 for 3 / 4 “ diameter installed at 3-3 / 4 “ effective embedment .
Anchor Fastening Technical Guide Edition 22 | 3.0 ANCHORING SYSTEMS | 3.3.5 KWIK BOLT TZ2 EXPANSION ANCHOR Hilti , Inc . 1-800-879-8000 | en español 1-800-879-5000 | www . hilti . com | Hilti ( Canada ) Corporation | www . hilti . ca | 1-800-363-4458
Ref
D . 6.1.2
319
3.3.5