Product Technical Guides : US-EN Cast-In Anchor Channel Fastening Technical Guide | Page 390

1. Anchor Channel Systems Code 2. HAC Portfolio 3. HAC Applications Discussion 4. Design Introduction 5. Base material Calculations The highest loaded anchor element in shear does not always control the anchor channel design in shear. The highest utilization, defined by the parameter (V ua,total / φ Vn ) controls the design. Therefore, the shear design strengths must be calculated for each anchor element and checked against the total factored shear load acting on that element. The most unfavorably loaded anchor element (highest utilization) controls the design in shear. The shear forces acting on each anchor element can be determined assuming a triangular force distribution. The triangular force distribution assumes the shear force acting on each T-bolt (1750 lb) has an influence on each of the anchor elements within a given distance (ℓ in) from the T-bolt. The resulting shear force on each anchor element (V 1, uax ) from the shear force acting on T-bolt #1 will be proportionate by the factor (A 1, #x ) to the distance of the anchor element with respect to the distance ℓ in. Note that the influence length (ℓ in) does not necessarily coincide with the channel length. Even when a T-bolt is located directly over one anchor element, the T-bolt load is still distributed to all other anchor elements within the distance ℓ in from the T-bolt. 7. Anchor Channel Design Code 8. Reinforcing Bar Anchorage Code Step 3: Determination of Tension forces on to anchor element. ESR-3520 4.1.2.2 Eq (2) Eq (1) 6. Loading 9. Special Anchor Channel Design 10. Design Software Discussion 11. Best Practices 12. Instructions for Use 13. Field Fixes 14. Design Example Calculations Step 3: Determination of Tension forces on to anchor element. = A 1,1 (10.56 in - 5.906 in +0.1 in) A 1,1 = 0.45 = 1 A 1,2 (10.56 in-0.1 in) 1 10.56 in 10.56 in A 1,2 = 0.9905 A 1,3 = (10.56 in – 0.1 in - 5.906 in) A 1,3 = 0.431 k 1 = 1 A 1,1 + A 1,2 + A 1,3 V ua1,1 = (k 1 )(A 1,1 )(1750 lb) V ua1,1 = 420.86 lbs V ua1,2 = (k 1 )(A 1,2 )(1750 lb) V ua1,2 = 925.99 lbs V ua1,3 = (k 1 )(A 1,3 )(1750 lb) V ua1,3 = 403.15 lbs 1 10.56 in k 1 = 0.5342 ESR-3520 4.1.2.2 Eq (2) Eq (1) The highest loaded anchor element in shear does not always control the anchor channel design in shear. The highest utilization, defined by the parameter (V ua,total / φ Vn ) controls the design. Therefore, the shear design strengths must be calculated for each anchor element and checked against the total factored shear load acting on that element. The most unfavorably loaded anchor element (highest utilization) controls the design in shear. The shear forces acting on each anchor element can be determined assuming a triangular force distribution. The triangular force distribution assumes the shear force acting on each T-bolt (1750 lb) has an influence on each of the anchor elements within a given distance (ℓ in) from the T-bolt. The resulting shear force on each anchor element (V 2, uax ) from the shear force acting on T-bolt #1 will be proportionate by the factor (A 2, #x ) to the distance of the anchor element with respect to the distance ℓ in. Note that the influence length (ℓ in) does not necessarily coincide with the channel length. Even when a T-bolt is located directly over one anchor element, the T-bolt load is still distributed to all other anchor elements within the distance lin from the T-bolt. A 2,1 = 1 0 in A 2,1 = 0 10.56 in A 2,2 = 1 10.56 in (10.56 in - 5.906 in) A 2,2 = 0.441 A 2,3 = (10.56 in) 1 10.56 in A 2,3 = 1 k 1 = 1 A 2,1 + A 2,2 + A 2,3 k 1 =0.6941 V ua2,1 = (k 1 )(A 2,1 )(1750 lb) V ua2,1 = 0 lbs V ua2,2 = (k 1 )(A 2,2 )(1750 lb) V ua2,2 = 535.33 lbs V ua2,3 = (k 1 )(A 2,3 )(1750 lb) Check: V ua2,3 = 1214.67 lbs V ua1,1 + V ua1,2 + V ua1,3 =850lbs Check: OK V ua2,1 + V ua2,2 + V ua2,3 =1750lbs OK Figure 14.1.17 — Design example – effect of t-bolt 2 on anchors Figure 14.1.16 — Design example – effect of t-bolt 1 on anchors 390 Cast-In Anchor Channel Product Guide, Edition 1 • 02/2019 391