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,v,3 =
Step 7: Concrete strength
ESR-3520 Section
4.1.3.3.4.
ACI 318-14 Chapter 17
The parameter ψ s, V will be dependent on the anchor element being considered and
the concrete geometry. Reference ESR-3520 Equation (32) for more information on
how to calculate ψ s,V .
Code
Concrete edge breakout: ФV cb,y
s cr,N = 4 x 5 in + 2 x 1.65 in
s cr,N = 23.3 in
Calculate the modification factor for anchor influence (ψ s,V,3 ).
ESR-3520 Equation (32) influence of anchor element #2 on anchor
element #3:
s i
s xx,1
s 1,3
s 2,3
s cr,V
c a1
b ch
=
=
=
=
=
=
=
spacing between each anchor element = 5.91 in
distance of each influencing anchor element from anchor element #3
distance from anchor element #1 to anchor element #3 = 11.82 in
distance from anchor element #2 to anchor element #3 = 5.91 in
critical anchor spacing for shear loading
4.50 in
1.65 in (reference ESR-3520 Table 8-1)
s cr,V = 4 ca1 + 2b ch
14. Design
Example
Calculations
ESR-3520 section
4.1.3.3.3
ACI 318-14 Chapter 17
Concrete breakout strength in perpendicular shear
for anchor element #3 continued...
Calculate the modification factor for corner influence (ψ co,V,3 ).
æ c
ö
0.5
influence of anchor element #1 on anchor
element #3: æ 11.812 in ö 421 lbs
ç 1 -
÷
23.30 in ø 1618 lbs
è
= 0.0901 c cr, V = 0.5 × s cr, V = 2c a1 + b ch
£ 1.0
1.5
1.5
1.5
a
n + 1 é æ
s ö V i ù
ú
1 + å ê ç ç 1 - i ÷ ÷ × ua,
a
s cr, V ø V ua, 3 ú
i = 2 ê è
ë
û
13. Field Fixes
1
é æ 11.812in ö 1.5 421lbs ù é æ 5.906in ö 1.5 1461lbs ù
1 + å ê ç 1 -
ú + ê ç 1 -
ú
÷ ×
÷ ×
ë ê è 23.30in ø 1618lbs û ú ë ê è 23.30in ø 1618lbs û ú
Discussion
y co, V = ç ç a2 ÷ ÷
è c cr, V ø
æ 5.906 in ö 1461 lbs
ç 1 -
÷
23.3 in ø 1618 lbs
è
= 0.582
1
12. Instructions
for Use
Step 7: Concrete strength
The parameter s cr,V 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,V from the anchor element being
considered are assumed to have an influence on that anchor element. The calculated
value for s cr,V will be the same for each anchor element if the c a1 value is the same for
each element; however, the number of anchor elements within the distance s cr,V from
the anchor element being considered may not always be the same. Reference
ESR-3520 Equation (33) for more information on how to calculate s cr,V .
y s, V,3 =
11. Best
Practices
\ y s,v,3 = 0.598
Concrete breakout strength in perpendicular shear for anchor element #3 continued...
The value calculated for concrete breakout strength in shear (V cb ) is based on the
location of the anchor element being considered. The basic concrete breakout
strength in shear (V b ) is not dependent on the anchor element being considered, but it
is dependent on the concrete geometry via the parameter c a1 . However, the calculated
value for V b will be the same for each anchor element if the c a1 value is the same for
each element.
10. Design
Software
1
y s , V , 3 =
1 + (0.0901 + 0.582)
y
s , V , 3
= 0.598
ESR-3520 Equation (35)
ESR-3520 Equation (36)
c a2 … corner distance of the anchor under consideration
c cr,V …critical edge distance for anchor channel for shear loading
Concrete edge breakout: ФV cb,y
c cr,V = 2 (5 in) + 1.65 in
c cr,V = 11.65 in
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 a2 is measured parallel to the anchor
channel longitudinal axis, and is considered when calculating the modification factor
for corner influence (ψ co,v ). When concrete breakout in shear (V cb,y,3 ) is being calculated
for anchor element #3. It is important to note that values for c a1 and c a2 must be
considered with respect to the relevant edge distances from anchor element #3.
The parameter c cr,V corresponds to the maximum distance that is assumed with
respect to the value for c a2 . Any c a2 value less than c cr,V must be considered when
calculating ψ co,V . If more than one c a2 value is less than c cr,V , ψ co,V will be calculated
for each c a2 value, and the product of these ψ co,V values will be used to calculate the
nominal concrete breakout strength in shear (V cb,y ).
æ 6.984in ö
÷
è 11.65in ø
= 0 . 774
y co1, V = ç
\ y co1, V
0.5
= 0 . 774
0.5
æ ¥ in ö
÷ ÷ > 1.0
y co2, V = ç ç
è 9.61in ø
\ y co2, V = 1 . 00
ESR-3520 Equation (33)
V a ua,1 = shear load on anchor element #1 = 422 lb
V a ua,2 = shear load on anchor element #2 = 1464 lb
V a ua,3 = shear load on anchor element #3 = 1615 lb
Figure 14.1.23 — Design example – corner reduction factor of ψ cr,v
Figure 14.1.22 — Design example – spacing reduction factor of ψ s,v
406
Cast-In Anchor Channel Product Guide, Edition 1 • 02/2019
407