1. Anchor
Channel Systems
Code
2. HAC
Portfolio
3. HAC
Applications
4. Design
Introduction
Discussion
5. Base material
6. Loading
7. Anchor Channel
Design Code
8. Reinforcing
Bar Anchorage
9. Special Anchor
Channel Design
Calculations
y s,N3 =
Concrete breakout strength in Tension continued.
This influence takes into consideration the loading on each anchor element as well
as the distance (spacing) of these elements from anchor element #2. Reference ESR-
3520 Equations (10) and (11) for more information on how to calculate ψ s,N .
The parameter s cr,N corresponds to the maximum distance that is assumed with
respect to the influence of an anchor element on the anchor element being
considered. Any anchor elements that are within s cr,N from the anchor element being
considered are assumed to have an influence on that anchor element.
The calculated value for s cr,N will be the same for each anchor element; however, the
number of anchor elements within the distance s cr,N from the anchor element being
considered may not always be the same. Reference ESR-3520 Equation (11) for more
information on how to calculate s cr,N .
s i
= spacing between each anchor element = 5.91 in
s xx,1 = distance of each influencing anchor element from anchor element #3
s 1,3
= distance from anchor element #1 to anchor element #3 = 11.812 in
s 2,3
= distance from anchor element #2 to anchor element #3 = 5.906 in
s cr,N = critical anchor spacing for tension loading (h ef =4.173 in)
1 . 3 h ef ö
æ
÷ h ef ³ 3 h ef
s cr , N = 2 ç ç 2 . 8 -
7 . 1 ÷ ø
è
ESR-3520 Equation (11)
The parameter ψs,N is a modification factor that is used to account for the influence of
adjacent anchor elements on the anchor element being considered.
N a ua,1 = tension load on anchor element #1 = 204 lb
N a ua,2 = tension load on anchor element #2 = 710 lb
N a ua,3 = tension load on anchor element #3 = 786 lb
11. Best
Practices
12. Instructions
for Use
13. Field Fixes
14. Design
Example
1
é æ 5.906in ö 710lbs ù é æ 11.812in ö 1.5 204lbs ù
1 + å ê ç 1 -
ú + ê ç 1 -
ú
÷ ×
÷ ×
ê ë è 16.980in ø 786lbs ú û ê ë è 16.980in ø 786lbs ú û
\ y s,N3 = 0.658
Step 7: Concrete strength
ESR-3520 section
4.1.3.2.3
ACI 318-14 Chapter 17
10. Design
Software
Code
Discussion
Concrete breakout: ФN cb Step 7: Concrete strength
1 . 3 ( 4 . 173 in ) ö
æ
s cr , N = 2 ç 2 . 8 -
÷ 4 . 173 in
7 . 1
è
ø
= 16 . 980 in
3 h ef = 3 ( 4 . 173 in ) = 12 . 519 in ESR-3520 section
4.1.3.2.3
ACI 318-14 Chapter 17
s cr , N = 16 . 980 in ³ 12 . 519 in
influence of anchor element #1 on anchor
element #3:
1.5
æ 11.812 in ö 204 lbs
ç 1 -
÷
è 16.980 in ø 786 lbs
= 0.0436
influence of anchor element #2 on anchor
element #3:
1.5
5.906 in ö 710 lbs
æ
ç 1 -
÷
è 16.980 in ø 786 lbs
= 0.4758
1
1 + (0.0436 + 0.4758)
y s , N , 3 =
y s , N , 3 = 0.658
1.5
Calculations
Concrete breakout strength in Tension continued…
Calculate the modification factor for edge influence (ψ ed,N,3 ).
The parameters c a1 and c a2 correspond to the distance from the center of the anchor
element being considered to a fixed edge. c a1 is measured perpendicular to the anchor
channel longitudinal axis, and is considered when calculating the modification factor
for edge influence (ψ ed,N ).
c a1 …
c cr,N …
Concrete breakout: ФN cb
edge distance of the anchor channel
critical edge distance for tension loading
s cr , N = 16 . 98 in
c cr , N = 0 . 5 s cr , N = ( 0 . 50 ) 16 . 98 in
0.5
æ c ö
y ed, N = ç ç a1 ÷ ÷ £ 1.0
è c cr, N ø
ESR-3520 Equation (13)
c cr , N = 0 . 5 s cr , N ³ 1 . 5 h ef
s cr , N
1 . 3 h ef
æ
= 2 ç ç 2 . 8 -
7 . 1
è
c cr , N = 8 . 49 in
æ 5.0in ö
÷
è 8.49in ø
= 0 . 767
y ed, N = ç
ESR-3520 Equation (14)
\ y ed, N
0.5
< 1.0
ö
÷ ÷ h ef ³ 3 h ef
ø
Figure 14.1.19 — Design example – spacing reduction factor - S cr,N
Figure 14.1.20-a — Design example – C cr,N
400
Figure 14.1.20-b — Design example – C cr,N
Cast-In Anchor Channel Product Guide, Edition 1 • 02/2019
401