Product Technical Guides : US-EN Cast-In Anchor Channel Fastening Technical Guide | Page 178

1. Anchor Channel Systems 2. HAC Portfolio 3. HAC Applications 5. Base material 6. Loading 7. Anchor Channel Design Code 8. Reinforcing Bar Anchorage 9. Special Anchor Channel Design 10. Design Software 11. Best Practices 12. Instructions for Use 13. Field Fixes 14. Design Example The behavior of anchor channels loaded towards the free edge is based on numerical and experimental investigations. The shear load is initially transferred into the concrete via the channel and the anchors. Owing to the edge distance from the front face of the channel closer to the edge, which is smaller than the edge distance of the anchor, a local concrete failure starting at the front edge of the channel frequently occurs before the ultimate load is reached. Thereafter, the entire load is transferred to the concrete via the anchors. V b ψ s,V ψ co,V ψ c,V ψ h,V f V cb ³ V ua a V cb = V b × ψ s, V × ψ co1, V × ψ co2, V .ψ h, V .ψ c, V Figure 7.4.2.3 — Projected area of an anchor channel loaded in shear. V b = l × α ch, V × f c ' × ( c a1 ) 3 = Basic concrete breakout strength in shear = Modification factor for anchor spacing = Modification factor for corner effects = Modification factor cracked/uncracked concrete = Modification factor for concrete thickness  or a shear force parallel to an edge (as shown in Figure b) F 7.4.2.4), V cb,y shall be permitted to be 2.5 times the value of the shear force determined from Eq. (30) with the shear force assumed to act perpendicular to the edge. The ultimate load of a channel segment with one anchor depends on the size of the channel and anchor and is given by : V b = Basic concrete breakout strength in shear ESR-3520 Equation (30) a) For a shear force perpendicular to the edge by Eq. (30) 4 b) α = 2; fixture cannot rotate Spacing of anchors equal to 5 times the edge distance Figure 7.4.2.2 — Failure of concrete breakout in shear b 1 , b 2 and b 3 ) close to an edge, close to an edge and corner, away from the edge b 4 close to an edge, b 5 close to an edge and two corners in a deep member. s i = distance between the anchor under consideration and the adjacent anchors ≤ s cr,V s cr,V = 4c a1 + 2b ch V aua,i = factored shear load of an influencing anchor, lb (N) V aua,1 = factored shear load of the anchor under consideration, lb (N) n = number of anchors within a distance s cr,V to both sides of the anchor under consideration 1 é æ s ö 1.5 V a ù 1 + å ê ç ç 1 - i ÷ ÷ × ua, a i ú s cr, V ø V ua, 1 ú i = 2 ê è ë û n + 1 ESR-3520 Equation (32) Cast-In Anchor Channel Product Guide, Edition 1 • 02/2019 179 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. 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 . y s, V = b 4 ψ s,V : T  he modification factor to account for the influence of location and loading of adjacent anchors shall be computed in accordance with Eq. (32). b 5 The model described for the calculation of the concrete edge capacity of anchor channels under shear loading towards the edge assumes that shear forces are transferred by bending of the channel to the anchors and from the anchors into the concrete. This approach simplifies the real behavior. It has been chosen to allow for a simple interaction between tension and shear forces acting on the channel. Equation 31 gives the failure load of one anchor of an anchor channel. The influence of the geometric parameters edge distance, anchor spacing and component thickness is taken into account with sufficient accuracy. The nominal concrete breakout strength, V cb,y , in shear perpendicular to the channel of a single anchor of an anchor channel in cracked concrete shall be computed as follows: parallel to the edge. 178 b 3 Figure 7.4.2.4— Anchor channel arranged perpendicular to the edge and loaded Anchors loaded in shear toward a proximate free edge may fail by development of a semi- conical fracture surface in the concrete originating at the point of bearing and radiating to the free surface Fig. 7.4.2.2 b1. A group of anchors loaded in shear and proximate to an edge may develop a common conical fracture surface (Anchors loaded in shear toward a proximate free edge may fail by development of a semi-conical fracture surface in the concrete originating at the point of bearing and radiating to the free surface Fig. b1. A group of anchors loaded in shear and proximate to an edge may develop a common conical fracture surface Fig. b2, and the development of the fracture surface is interrupted by the presence of a corner Fig. b3 by the limited depth of the member (Fig. b4) or by proximate edges parallel with the load direction (Fig. b5). In these cases the failure load associated with the anchor or one anchor of the group is reduced compared to the application shown in Fig. b1. Fig. b2) and the development of the fracture surface may be interrupted by the presence of a b 1 & b 2 M  odification for lightweight concrete Lightweight concrete = 0.75 Sand-Lightweight concrete = 0.85 α ch,V … I  nfluence factor for channel size (channel factor depending on dimensions of profile and anchor) (10.50, max) AC232 test 10 has been used to determine α ch,V for various anchor channel. Tests may be omitted if the nominal strength, V b , is computed in accordance with (17.5.2.10.2, ACI 318-14) with α ch,V = 5.6 lbf 1/2 /in 1/3 (α ch,V = 4.0 N 1/2 /mm 1/3 for SI) (Normal weight concrete) Concrete Edge Breakout Shear Strength ф V cb,y Concrete edge breakout failure: Failure of an anchor channel installed at the edge of a concrete member and loaded in shear towards the edge characterized by the formation of a fracture surface originating at the channel and projecting towards the edge of the concrete member as shown in the figure 7.4.2.1. λ… Figure 7.4.2.1 — Concrete edge failure due to an anchor channel loaded in shear. f´ c = the lesser of the specified concrete compressive strength and 8,500 psi (59 MPa) Figure 7.4.1.4 — Channel bolt resisting shear forces with stand off. 7.4.2 CONCRETE STRENGTHS IN PERPENDICULAR SHEAR ESR-3520 Equation (31) corner (Fig. b3) by the limited depth of the member Fig. b4 ) or by proximate edges parallel with the load direction (Fig. b5). In these cases the failure load associated with the anchor or one anchor of the group is reduced compared to the application shown in Fig. b1 a) α = 1; fixture can rotate 4. Design Introduction