Product Technical Guides : US-EN Cast-In Anchor Channel Fastening Technical Guide | Page 246

1. Anchor Channel Systems 3. HAC Applications 1 n + 1 é æ s ö V a ua, i ù 1 + å ê ç ç 1 - i ÷ ÷ × a ú s cr, V ø V ua,1 ú i = 2 ê è ë û 1.5 s cr, V = 4c a1 + 2 b ch in .( mm ) n = n cha + n chb  is the number of all the anchors of the two channels s i is the relative distance of two anchors, considering all the anchor on an imaginary “unfolded” channel, where the first anchor of the second channel, is located at a distance d ∗ from the last anchor of the first (Figure 9.2.10.11d) 4. Design Introduction 5. Base material 6. Loading (a+b) is taken into consideration while placing them (a+b) apart as shown in Figure 9.2.10.12b. Lets take into consideration anchor b 1 of anchor channel b with shear V a ua,b1 . Please refer Figure 9.2.10.12b. The following equation modification factor for spacing is used. y s,v,b1 = 1 é æ (a+b) ö 1.5 V a ù é æ (a+b+a ) ö 1.5 V a ù é æ a ö 1.5 V a ù ua , a 1 a 1; a 2 ua , a 2 b 1; b 2 ua , b 2 ú + ê ç 1 - 1 + ê ç ç 1 - ÷ × ÷ ÷ × a ú + ê ç ç 1 - ÷ ÷ × a ú V V s cr,v ÷ ø V ua a , b 1 ú ê ç è s cr,v s ê è ú ê , 1 cr,v ua b ua , b 1 ú ø ø ë û ë û ë è û For the condition illustrated below in Figure 9.2.10.12b the shear breakout plane emitting from anchor b 1 overlaps shear plane emitting from anchor a 1 , b 2 and a 2 . Therefore the spacing modification factor will be the equation above including the effects of anchors a 1 , b 2 and a 2 on anchor b 1 . 7. Anchor Channel Design Code 8. Reinforcing Bar Anchorage 9. Special Anchor Channel Design 10. Design Software Acute angle Corner: Acute corner has been drawn in Figure 9.2.10.13a. The corner is unfolded in Figure 9.2.10.13b. Please refer to the distance marked on the detail for acute angle corner case. The variable a and b has been defined and marked up on figure representing acute angle corner condition. The line is drawn perpendicular to edge 2 emitting from anchor a 1 of anchor channel. The intersection point of this line with edge 2 is extended perpendicular to edge 1. The distance between intersection point of this line with edge 1 and a 1 of anchor channel a is c a2,a1 . c a2,a1 is taken as "a". In order to get the dimension b, c a2,a;b1 is calculated and is deducted from c a2,b1 to get b. c a2,a;b1 is distance between anchor b 1 and intersection of perpendicular line emitting from a 1 perpendicular to edge 2 and line emitting b 1 perpendicular to edge 1. Refer Figure 9.2.10.13b. While unfolding the corner for this case the fictitious distance of (a+b) is taken into consideration while placing them (a+b) apart as shown in Figure 9.2.10.13b. ψ co,V modification factor for corner influence for 90° angle corner: 90° angle Corner: 90° angle cases of corner has been drawn in Figure 9.2.10.12a. The corner is unfolded in Figure 9.2.10.12b. Please refer to the distance marked on the detail for 90° angle corner case. The variable a and b has been defined and marked up on figure representing 90° corner condition. While unfolding the corner for this case the fictitious distance of The true edge distance is taken into consideration for determination of reduction factor for corner distance. The corner distance c a2,a1 or c a2,b1 , is into consideration respectively depending on the anchor in consideration. Let's take into consideration anchor b 1 of anchor channel b with shear V a ua,b1 . Please refer Figure 9.2.10.13b. The following equation modification factor for spacing is used. If c a2 ³ c cr, V y s,v,b1 = C a2 =(C a2,a1 or C a2,b1 ) distance of the anchor under consideration to the corner (see Figure 9.2.10.12a). then y co, V = 1.0 If c a2 < c cr, V 0.5 £ 1.0 s cr , V = 2 b ch + 4 C a 1 c c cr cr , V , V = = 0.5 s cr s , N cr , V = b ³ ch 1.5 + 2 h c ef a 1 0.5  13. Field Fixes 14. Design Example ψ co,V modification factor for corner influence for Acute angle corner: The side edge distance is taken into consideration for determination of reduction factor for corner distance c a2 . The c a2,a1 is taken as distance “a” in case of a acute degree angle corner. c a2 =c a2,a1 side distance of the anchor a 1 to the corner (see Figure 9.2.10.13b). The side edge distance c a2,a1 as shown in Figure 9.2.10.13b is used in the corner modification factor for anchor a 1 of anchor channel a. The side edge distance for anchor b 1 of anchor channel b is c a2,b1 is used in the corner modification factor. If c a2 ³ c cr, V then y co, V = 1.0 If c a2 < c cr, V æ c ö then y co, V = ç ç a2 ÷ ÷ è c cr, V ø s cr , V = 2 b ch + 4 C a 1 0.5 £ 1.0 c c cr cr , V V = = 0.5 0.5 s cr s cr , N , V = ³ b ch 1.5 + h 2 ef c a 1 1 é æ (a+b) ö 1.5 V a ù é æ (a+b+a ) ö 1.5 V a ù é æ a ö 1.5 V a ù ua , a 1 a 1; a 2 ua , a 2 b 1; b 2 ua , b 2 ú 1 + ê ç ç 1 - ÷ × a ú + ê ç 1 - ÷ ÷ × a ú + ê ç ç 1 - ÷ × V ua , b 1 ú ê è s cr,v ÷ ø V ua a , b 1 ú s cr,v ê è s cr,v ÷ ø V ua , b 1 ú ê ç è ø ë û ë û ë û For the condition illustrated below in Figure 9.2.10.13b the shear breakout plane emitting from anchor b 1 overlaps shear plane emitting from anchor a 1 , a 2 and b 2 , hence the spacing modification factor will be the equation above for the example in the Figure 9.2.10.13b. then y co, V æ c ö = ç ç a2 ÷ ÷ è c cr, V ø 12. Instructions for Use d * = c a2,a1 + c a 2, b 1 - c 1 11. Best Practices y s, V = 2. HAC Portfolio Figure 9.2.10.12a — 90° Corner. Figure 9.2.10.13b — Unfolding of Acute angle Corner. Figure 9.2.10.12b — Unfolding of 90°Corner. 246 Figure 9.2.10.13a — Acute angle Corner. Cast-In Anchor Channel Product Guide, Edition 1 • 02/2019 247