Tensile Strength of Gear & kN to lbf Conversion 1 kN = 225 lbf 9.5 mm static rope 9/16" (14mm) Spectra webbing loop or Standard biner (open) 6200 5800 5600 Wire gate biner (open) 5400 1" webbing loop w/ water knot (climb spec) 10 mm (3/8") Dynex webbing loop 4600 4200 Runners or Loops: 1 loop make with a knot is ~150% stronger than a single strand. A two loop anchor is twice as strong as a 1 loop anchor. A 3 loop anchor is 3 times as strong as a 1 loop anchor. [1] 4000 1" (25mm) webbing (tubular climbing spec, BW) 3800 3400 Typical harness tie-in loop or 9/16" webbing loop 3000 7 mm cord (Perlon) 2600 Anchors From Loops Made with a Knot 1 loop 7mm cord = 19kN 2 loop 7mm cord = 38kN 1 loop 9/16" web = 15kN 2 loop 9/16" web = 30kN 1 loop 1" web = 27kN 2 loop 1" web = 54kN 9.5 mm dynamic rope 2200 1800 9/16" (14mm) webbing 1700 1400 (tubular climb spec, BW) 6 mm cord 1240 (Perlon) 1000 5 6 7 8 9 10 11 12 13 5 mm cord 14 15 16 17 18 19 20 21 22 KiloNewton (kN) [1] http://www.xmission.com/~tmoyer/testing. 23 24 25 26 5963 Runners or Loops: 1 loop made with a knot is ~150% stronger than a single strand. A two loop anchor is twice as strong as a 1 loop anchor. A 3 loop anchor is 3 times as strong as a 1 loop anchor. [1] 2250 1238 5.5 1440 6.4 1710 7.6 10.0 6075 6075 50 45 lbf kN 4950 35 4005 26.5 3375 2318 10.3 2610 11.6 40 2880 12.8 27.0 27.0 22.0 15 30 25 17.8 20 15 10 5 KiloNewtons to Failure (kN) Pounds Force to Failure (lbf) 6500 6000 5500 5000 4500 4000 3500 3000 2500 2000 1500 1000 500 0 m m 9/ 16 8. 5 m m st at ic co rd dy na m "( ic 14 6 ro m m pe m m )w st at eb 9. ic 5 bi co ng m rd m (c dy lim na b m sp ic ec ro ) pe (M ax 7 im m H m ) ar st ne a ss tic 8 tie co m -in rd m l s oo 1" ta p tic (2 or 5 co m 9/ rd m 16 )w "w 10 eb m eb m bi lo ng (3 op /8 ( c ") lim D 1" b yn sp w ex e ec 9/ b w 16 bi ) eb ng "( b 14 i lo ng 9. op 5 m lo m m w op m )S /w s pe at t a er tic ct ra kn ro o pe w t( eb c lim bi ng b sp lo op ec ) or St d bi ne r 0 [1] Comparative Testing of High Strength Cord, Tom Moyer. 2000. http://www.xmission.com/~tmoyer/testing. 27 MountaineeringLife.org 2009 Rope, Webbing & Cord Tensile Strengths 5 Pounds Force (lbf) 5000 Anchors From Loops Made with a Knot 1 loop 7mm cord = 19kN 2 loop 7mm cord = 38kN 1 loop 9/16" web = 15kN 2 loop 9/16" web = 30kN 1 loop 1" web = 27kN 2 loop 1" web = 54kN MountaineeringLife.org 2009 Strength of Webbing & Cord in Anchors Single Strand Single Loop Double Loop Triple Loop (1 strand mfr rating) (2 strands) (4 strands) (6 strands) No Knots Water or Dbl Fisher Knot Water or Dbl Fisher Knot % of Single Strand Strength 100% 150% 350% 450% *Includes 75% knot efficiency. 1 - 2 loops based on tests. 3 loop is theoretical. MountaineeringLife.org 2009 Strength of Anchor Configurations Webbing Cord Configuration Knot Efficiency (dbl fisher for cord & water for web) Number of Strands (1 loop = 2 strands) 9/16" climb spec 7mm Perlon 80% 1 75% 1" climb spec 6 75% 10mm Dynex 6 100% 9 2 2 2 1 Single Strand Strength 12 10 18 NA (no knot) 2,698 2,448 4,046 NA 3 7 3 2 Single Loop Anchor Strength (kN) 19 15 27 22 (lbf) 4,316 3,372 6,070 4,946 % Stronger than 1 strand 160% 150% 150% NA 4 7 7 4 Double Loop Anchor Strength (kN) 38 30 54 36 (lbf) 8,632 6,744 12,139 8,093 % Stronger than 1 strand 320% 300% 300% 164% 5 5 5 6 Triple Loop Anchor Strength (kN) 58 45 81 (lbf) 12,948 10,116 18,209 % Stronger than 1 strand 480% 450% 450% Bottom Line: 1 loop with a knot is ~150% stronger than a single strand. A two loop anchor is twice as strong as a 1 loop anchor. A 3 loop anchor is 3 times as strong as a 1 loop anchor. Theory: Since the knot is the weakest point, we just need to figure at what point there is enough force on one strand to fail the knot. This assumes perfect equalization. 2 8 Data Sources 1. From tests. http://www.caves.org/section/vertical/nh/50/knotrope.html 2. Mfr ratings and tests. 3. From tests. Comparative Testing of High Strength Cord, Tom Moyer. Nov. 2000. http://www.xmission.com/~tmoyer/testing. 4. Calculated which correlates well with the Dynex tests. See Equation 1. 5. Calculated (theoretical). These results do not correlate well with tests done in Source 3. Those tests showed triple anchors testing at about the same as a single loop? 6. Backed out of tests done in Source 3. 7. Calculated. See Eq. 1. These correlate well with tests from Source 8. 8. From tests. Black Diamond testing 7/16/08. http://www.bdel.com/scene/beta/qc_kp_archive.php#071608 The sliding X configuration w/o a knot did not fail to the maximum of the test equipment (36 kN), so the strength is more than that. 9. Dynex runner has no knot, but is sewn. Eq 1. % improvement in strength over 1 strand = 1 strand strength x knot efficiency x number of strands (1 loop = 2) MountaineeringLife.org 2009