Product Technical Guides : US-EN Cast-In Anchor Channel Fastening Technical Guide | Page 240

1. Anchor Channel Systems 2. HAC Portfolio 3. HAC Applications 4. Design Introduction 5. Base material 6. Loading 7. Anchor Channel Design Code 8. Reinforcing Bar Anchorage 9. Special Anchor Channel Design 10. Design Software Concrete breakout strength in tension Outside corners where two anchor channels are present and are loaded simultaneously are outside the scope of AC232. Most of the AC232 provisions can be applied to this type of application. However, the influence of the adjacent anchor channel should be consider, as the concrete strength may be negatively impacted. Verification: j N cb ³ N a ua  13. Field Fixes 14. Design Example The main difference in the calculation of the concrete cone capacity is the modification factor to account for influence of location and loading of neighboring anchors ψ s,N . N cb = N b × ψ s, N × ψ ed, N × ψ co, N × ψ cp, N × ψ c, N The modification factor for spacing ψ s,N is adjusted to take the loading of the adjacent anchors into account. Given an anchor channel with only two anchors equally loaded ψ s,N varies from 0.5 to 1, if the relative spacing varies from s i = 0 to s i = s cr,N respectively. In practice, if s i =0 the capacity of each anchor is the half, both together have the same capacity of 1 anchor. The equation of ψ s,N limits the maximum capacity of the concrete for each anchor due to the presence of the other cone. Figure 9.2.10.3 shows ψ s,N for two anchors symmetrically loaded increasing the spacing from 0 to s i = s cr,N . In this section an extension for the design AC232 to a group of channels and to channels close to a corner is presented. The method is valid for standard anchor channels. The loads are distributed on each channel independently, according ESR3520 the steel verifications are not affected by the neighbored channels, some considerations should be done for the concrete failure modes. Figure 9.2.10.3 — ψ s,N for two anchors symmetrically loaded. The relative concrete utilization of each anchor is considered with the ratio N aua,j /N aua,1 . In this way if the load on the second anchor is much higher than that on the first, it results in a lower ψ s,N,1 for the first anchor. Figure 9.2.10.4 shows the variation of ψ s,N for two anchors with a spacing of 0.5s cr,N varying the load ratio between the two anchors. The concrete cone capacity is almost proportional to A c,N / A 0c,N like in the CC Method (Concrete Capacity design method for anchors). According to ESR-3520 the minimum distance between the two anchors is 2” 100mm, hence Profis anchor channel software follows the rule stated in the Figure 9.2.10.1.a and Figure 9.2.10.1.b. The software has to be activated for corner in order to design the outside corner with two anchor channels. 12. Instructions for Use 9.2.10 — H  AC AND HAC-T DESIGN: TOP OR BOTTOM OF SLAB OUTSIDE CORNER WITH PAIR OF ANCHOR CHANNEL 11. Best Practices The same considerations are valid as well also for more than two anchors and a linear superposition applies. Figure 9.2.10.1.b. In Figure 9.2.10.3 standard anchor channel with 2 anchors is represented, where the red rectangle areas are the “influence areas” or idealized breakout surface of each anchor. Since the anchor spacing is smaller than the critical one there are several intersections represented by darker shaded area of cone projection. These intersections are considered with the ψ s,N . When two HAC channels are placed close to each other or to a corner only the concrete verifications needed modifications. The calculation of the anchor loads and of the steel failure modes is calculated independently for the two different channels. The method applies in general to a group of channels with the same edge distance c a1 in profis anchor channel software. Figure 9.2.10.4 — Graph s vs ψ s,N . When the second element is enabled the following condition must be fulfilled (Figure 9.2.10.1.a, Figure 9.2.10.1.b and Figure 9.2.10.1.c): (d 1 ) + (d 2 ) ≥ 100mm If second anchor channel is placed at a distance s a1 bi < s cr,N (Figure 9.2.10.8), further intersections would be generated between the influence areas of the anchors of first and of the second channel. In the calculation of the concrete cone failure, these intersections can be considered with the factor ψ s,N including in sum also for the anchors of the second channel. In this way, the capacity of each anchors is additionally reduced due to the presence and utilization of second channel and varies smoothly with the relative distance. The same considerations are valid as well also for more than two anchors and a linear superposition applies. s i = n = n ch 1 + n ch 2 ( x i - x j ) 2 + ( y i - y j ) 2 Moreover, considering the spacing of each single anchor in two dimensions, it is possible to consider even more anchor channels, and each possible relative position. Figure 9.2.10.5 — Influence on ψ s,N ,1 (of the anchor 1) of the relative load on the anchors. Figure 9.2.10.1.c. Figure 9.2.10.1: Geometric condition for the second channel after the activation of the second element at the corner. 1 . 3 h ef æ s cr , N = 2 ç ç 2 . 8 - 180 è The critical spacing for anchors is 3xh eff based on idealized rectangular concrete cone area. For anchor channels the following equation is in accordance to AC232: ö ÷ ÷ h ef ³ 3 h ef ø Comparison of c cr,N for anchors and for an anchor channels and comparison of the idealized breakout area for anchors and for an anchor channel of various embedment depths shows for effective embedment depth smaller than 7.1” (180 mm) the anchor channels have a larger c cr,N than anchors. The proposed expression assumes a circular area of the influence areas of each anchor. The influence area of the anchor of an anchor channel is larger than those of a single anchor, hence the following equation of s cr,N,corner is proposed: Figure 9.2.10.1.a. 240 1 . 3 h ef æ s cr , N , corner = 2 ç ç 2 . 8 - 180 è ö ÷ ÷ h ef ³ 3 . 4 h ef ø Figure 9.2.10.6 — Graph ψ s,N vs F 2 /F 1 . Cast-In Anchor Channel Product Guide, Edition 1 • 02/2019 241