{"id":332,"date":"2024-12-31T08:19:54","date_gmt":"2024-12-31T08:19:54","guid":{"rendered":"https:\/\/swarm.craa.cz\/?p=332"},"modified":"2025-08-23T09:51:20","modified_gmt":"2025-08-23T09:51:20","slug":"strength-tests-of-the-polish-knot","status":"publish","type":"post","link":"https:\/\/swarm.craa.cz\/en\/strength-tests-of-the-polish-knot\/","title":{"rendered":"Strength tests of the Polish knot"},"content":{"rendered":"<div class=\"wp-block-uagb-container uagb-block-db8d27b4 alignwide uagb-is-root-container\">\n<div class=\"wp-block-uagb-container uagb-block-9d1eb259\">\n\n\n<p class=\"wp-block-paragraph\">Year 1, Issue 1, 2024<br>swarm.craa.cz, ISSN 3029-7508<br>Safety, Work And Rescue Magazine<br>Pages 22-27, https:\/\/doi.org\/10.71319\/swarm2401.22-27<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-uagb-container uagb-block-64bdef23\">\n<div class=\"wp-block-uagb-image alignright uagb-block-eb17cc68 wp-block-uagb-image--layout-default wp-block-uagb-image--effect-zoomin wp-block-uagb-image--align-right\"><figure class=\"wp-block-uagb-image__figure\"><a class=\"\" href=\"https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/Strength-tests-of-the-Polish-knot.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" srcset=\"https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/pdf2-150x150.webp ,https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/pdf2.webp 780w, https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/pdf2.webp 360w\" sizes=\"auto, (max-width: 480px) 150px\" src=\"https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/pdf2-150x150.webp\" alt=\"Strength tests of the Polish knot\" class=\"uag-image-405\" width=\"150\" height=\"150\" title=\"Strength tests of the Polish knot\" role=\"img\"\/><\/a><\/figure><\/div>\n\n\n<\/div>\n<\/div>\n\n\n\n<h1 class=\"wp-block-heading has-text-align-center\"><strong>Strength tests of the Polish knot<\/strong><\/h1>\n\n\n\n\n\n<p class=\"has-text-align-center has-medium-font-size wp-block-paragraph\"><strong><strong>Ond\u0159ej Belica<\/strong><sup>1<\/sup> <\/strong><sup><a href=\"https:\/\/orcid.org\/0000-0002-4804-0859\" target=\"_blank\" rel=\"noreferrer noopener nofollow\"><img loading=\"lazy\" decoding=\"async\" width=\"22\" height=\"22\" class=\"wp-image-131\" style=\"width: 22px;\" src=\"https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/Bez-nazvu.png\" alt=\"\" srcset=\"https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/Bez-nazvu.png 22w, https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/Bez-nazvu-12x12.png 12w\" sizes=\"auto, (max-width: 22px) 100vw, 22px\" \/><\/a><\/sup><strong>, <strong>Jan Smolek<\/strong><sup>2<\/sup><\/strong><\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\"><sup>1<\/sup> CRAA \u2013 Institute of Occupational Safety at Heights; obelica<img loading=\"lazy\" decoding=\"async\" width=\"23\" height=\"23\" class=\"wp-image-73\" style=\"width: 23px;\" src=\"https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/image.png\" alt=\"SWARM - Safety, Work And Rescue Magazine\" srcset=\"https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/image.png 23w, https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/image-12x12.png 12w\" sizes=\"auto, (max-width: 23px) 100vw, 23px\" \/>lezectvi.cz<br><sup>2<\/sup> Czech Speleological Society \u2013 ZO 6-07 Ti\u0161novsk\u00fd kras<\/p>\n\n\n\n\n\n<div class=\"wp-block-uagb-container uagb-block-6844a9b5 alignwide uagb-is-root-container\">\n<div class=\"wp-block-uagb-container uagb-block-ba271e0f\">\n<p class=\"wp-block-paragraph\"><strong>Type of Paper<br><\/strong>Original research<br><br><strong>Keywords<\/strong><br><em>Anchoring, knot, knot efficiency, Polish knot, strength test.<\/em><\/p>\n\n\n\n\n\n<p class=\"has-small-font-size wp-block-paragraph\"><em>CC BY licensed Open Access article<\/em><br><img loading=\"lazy\" decoding=\"async\" width=\"88\" height=\"31\" class=\"wp-image-89\" style=\"width: 88px;\" src=\"https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/CC_BY_icon-88x31-1.webp\" alt=\"logo licence Creative Commons Attribution CC BY 4.0\" srcset=\"https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/CC_BY_icon-88x31-1.webp 88w, https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/CC_BY_icon-88x31-1-18x6.webp 18w\" sizes=\"auto, (max-width: 88px) 100vw, 88px\" \/><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-uagb-container uagb-block-3513f5a6\">\n<p class=\"wp-block-paragraph\"><strong>Abstract<\/strong><br><em><em>Although the Polish knot is often used for anchoring in rope access, rope rescue and caving due to its advantages, there is a lack of information about its strength. The article deals with the strength and efficiency of the Polish knot, both when loading the front and rear strands of the rope coming out of the knot. It shows that the difference between the individual strands is insignificant. And although the Polish knot shows lower strength than the figure-eight loop, it offers other advantages.<\/em><\/em><\/p>\n\n\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-uagb-container uagb-block-833f7698 alignwide uagb-is-root-container\">\n<h2 class=\"wp-block-heading\"><strong>Introduction<\/strong><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">There is no doubt today that tying a knot to a rope reduces the strength of the rope [1, p. 71]. Many tests have repeatedly confirmed this fact [2, p. 415]. Unlike the most common knots such as the figure eight loop [3, art. 4.1.1], the figure nine loop [3, art. 4.1.2] or the alpine butterfly [3, art. 6.1.2], which are tested relatively often and their strengths are generally known (and often stated in clear tables) [2, p. 415], the knot known in the Czech Republic as the \u201c<em>Polonaise<\/em>\u201d [4, chap. 4.1; 4, p. 63] is somewhat neglected (and therefore there is no general awareness of its strength). It acquired this name due the translation of <em>Techniques de la sp\u00e9l\u00e9ologie alpine<\/em>, where it was listed as \u201c<em><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-8-color\">N\u0153ud polonaise<\/mark><\/em>\u201d [6, p. 75].<\/p>\n\n\n\n<div class=\"wp-block-uagb-image aligncenter uagb-block-b8072921 wp-block-uagb-image--layout-default wp-block-uagb-image--effect-zoomin wp-block-uagb-image--align-center\"><figure class=\"wp-block-uagb-image__figure\"><a class=\"\" href=\"https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/1cl3-1v.webp\" target=\"_blank\" rel=\"noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" srcset=\"https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/1cl3-1m.webp ,https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/1cl3-1m.webp 780w, https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/1cl3-1m.webp 360w\" sizes=\"auto, (max-width: 480px) 150px\" src=\"https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/1cl3-1m.webp\" alt=\"Polish knot\" class=\"uag-image-340\" width=\"302\" height=\"206\" title=\"Polish knot\" role=\"img\"\/><\/a><figcaption class=\"uagb-image-caption\"><strong>Figure 1: Polish knot<\/strong><\/figcaption><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">In fact, it is a \u201c<em><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-8-color\">Polish knot<\/mark><\/em>\u201d [1, p. 73] sometimes referred to as a \u201cdouble lark\u2019s foot\u201d. In the well-known <em>The Ashley book of knots<\/em> it listed a \u201c<em><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-8-color\">pile hitch<\/mark><\/em>\u201d [7, p. 217 and 307], or \u201c<em><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-8-color\">single hook hitch<\/mark><\/em>\u201d [7, p. 314], or it is shown there without a name [7, p. 52].<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Due to the properties of this knot, it is a hitch (not a knot), but in this text it will be referred to as a \u201c<em>knot<\/em>\u201d, or \u201c<em>Polish knot<\/em>\u201d. Its advantage is mainly fast and easy tying and minimal rope consumption. And when used with a sufficiently wide connector (carabiner), its advantage is also easy and quick untying. On the other hand, it is not able to absorb impact forces (e.g. in the case of destruction of the anchor point, which can be compensated for by stretching a 10m section of rope) [5, p. 64].<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">It is used in caving, rope access and rope rescue, most often for re-belay (re-anchor) or for anchoring.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Although specialized literature describes the principle of its use and the method of tying, as far as practical use is concerned (i.e. which strand of the rope coming out of the knot is loaded), the literature does not mention. Neiter Marbach [1, p. 73] nor Kouteck\u00fd [5, p. 64] and in some cases nor Ashley [7, p. 52 and 306]. In the case of hanging the rope on a hook, Ashley shows the loading of the rear strand of the rope [7, p. 314], and in the second case (when tying the rope to a pole), the loading of both strands eccentrically. Mat\u00fdsek then shows the loading of the rear strand of the rope when used on a re-belay [4, k. 4.1].<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Since (with the exception of Mat\u00fdsek) there is no information about which strand of the rope should be loaded, there is also no information available about the behavior of individual strands under load.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>1&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Equipment used<\/strong><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>1.1&nbsp;&nbsp;&nbsp; Rope<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">A new, low-stretch Truck rope in white, manufactured in June 2021 by the French manufacturer Courant, was used for the tests. The rope was certified according to the EN 1891, type A. The manufacturer provides the following information in the instruction manual:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>diameter:&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 10.5 mm,<\/li>\n\n\n\n<li>material:&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; polyamide,<\/li>\n\n\n\n<li>static strength:&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 30 kN,<\/li>\n\n\n\n<li>knot strength<sup data-fn=\"bac95edd-c4f6-41d3-ad65-385c5dd05bd6\" class=\"fn\"><a id=\"bac95edd-c4f6-41d3-ad65-385c5dd05bd6-link\" href=\"#bac95edd-c4f6-41d3-ad65-385c5dd05bd6\">1<\/a><\/sup>:&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;19 kN,<\/li>\n\n\n\n<li>sewing strength:&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 23 kN<\/li>\n\n\n\n<li>sheath strength<sup data-fn=\"2290c13e-4e56-4179-8e3d-d464c4b9e80f\" class=\"fn\"><a id=\"2290c13e-4e56-4179-8e3d-d464c4b9e80f-link\" href=\"#2290c13e-4e56-4179-8e3d-d464c4b9e80f\">2<\/a><\/sup>:&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 47%,<\/li>\n\n\n\n<li>sliding of sheath:&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 0.00%,<\/li>\n\n\n\n<li>elongation 50\/150 kg<sup data-fn=\"c5085a89-687a-4689-9fe6-8a8f6c3f0848\" class=\"fn\"><a id=\"c5085a89-687a-4689-9fe6-8a8f6c3f0848-link\" href=\"#c5085a89-687a-4689-9fe6-8a8f6c3f0848\">3<\/a><\/sup>:&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;3%,<\/li>\n\n\n\n<li>mass per meter of length:&nbsp;&nbsp;73 g,<\/li>\n\n\n\n<li>shrinkage:&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 3.5%,<\/li>\n\n\n\n<li>knottability:&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 1.<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">The test itself was preceded by a&nbsp;verification of the rope diameter<sup data-fn=\"ffd3bb0b-b899-440f-813b-e060204c6a63\" class=\"fn\"><a id=\"ffd3bb0b-b899-440f-813b-e060204c6a63-link\" href=\"#ffd3bb0b-b899-440f-813b-e060204c6a63\">4<\/a><\/sup> (as specified by EN 1891), which showed that its actual diameter was 10.69 mm.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>1.2&nbsp;&nbsp;&nbsp; Tensile machine<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">The tests were carried out on a stand (vertical) hydraulic tensile machine EU 20 from <em>VEB Werkstoffpr\u00fcfmaschinen<\/em> from 1987, refurbished in 2001, capable of exerting a&nbsp;maximum force of 200 kN. The measured values \u200b\u200bare displayed on an analogue force gauge, which is part of the tensile machine control panel, and at the same time are recorded using a coordinate peper recorder. The measurement accuracy of this regularly calibrated tearing machine is 0.5%. The loading speed was controlled manually so that the speed of the traction device meets the requirements of Article 4.1.2.2 of EN 364 [9].<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>1.3&nbsp;&nbsp;&nbsp; Test specimens<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">After each knot was tied into the connector (carabiner), the knot was properly dressed and each strand of the knot was statically loaded with a force of 1.5 kN. From the perspective of the location of the loaded strand of rope relative to the carabiner gate, for the purposes of this article, the both versions are referred as a&nbsp;rear version and a front version.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>1.3.1 Rear version<\/strong><\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">In the rear version, the rope coming from above enters the knot at the front (closer to the gate) and the loaded strand of the rope is at the back (shown in gray).<\/p>\n\n\n\n<div class=\"wp-block-uagb-image aligncenter uagb-block-0248fb1b wp-block-uagb-image--layout-default wp-block-uagb-image--effect-zoomin wp-block-uagb-image--align-center\"><figure class=\"wp-block-uagb-image__figure\"><a class=\"\" href=\"https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/1cl3-2v.webp\" target=\"_blank\" rel=\"noreferrer noopener\"><img decoding=\"async\" srcset=\"https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/1cl3-2m.webp ,https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/1cl3-2m.webp 780w, https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/1cl3-2m.webp 360w\" sizes=\"auto, (max-width: 480px) 150px\" src=\"https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/1cl3-2m.webp\" alt=\"Rear version of the Polish knot\" class=\"uag-image-341\" width=\"302\" height=\"223\" title=\"Rear version\" loading=\"lazy\" role=\"img\"\/><\/a><figcaption class=\"uagb-image-caption\"><strong>Figure 2: Rear version<\/strong><\/figcaption><\/figure><\/div>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>1.3.2 Front version<\/strong><\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">In this case, the rope enters the knot at the back of the connector (carabiner) from above, and the loaded strand of the rope coming out of the knot is at the front (shown in gray)<\/p>\n\n\n\n<div class=\"wp-block-uagb-image aligncenter uagb-block-3b4ecc45 wp-block-uagb-image--layout-default wp-block-uagb-image--effect-zoomin wp-block-uagb-image--align-center\"><figure class=\"wp-block-uagb-image__figure\"><a class=\"\" href=\"https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/1cl3-3v.webp\" target=\"_blank\" rel=\"noreferrer noopener\"><img decoding=\"async\" srcset=\"https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/1cl3-3m.webp ,https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/1cl3-3m.webp 780w, https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/1cl3-3m.webp 360w\" sizes=\"auto, (max-width: 480px) 150px\" src=\"https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/1cl3-3m.webp\" alt=\"Front version of the Polish knot\" class=\"uag-image-342\" width=\"302\" height=\"242\" title=\"Front version\" loading=\"lazy\" role=\"img\"\/><\/a><figcaption class=\"uagb-image-caption\"><strong>Figure 3: Front version<\/strong><\/figcaption><\/figure><\/div>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>2&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Methods<\/strong><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">A Magnum Steel 2T<sup data-fn=\"e2f91431-0057-4f44-a4bf-b99e5b361881\" class=\"fn\"><a id=\"e2f91431-0057-4f44-a4bf-b99e5b361881-link\" href=\"#e2f91431-0057-4f44-a4bf-b99e5b361881\">5<\/a><\/sup> connector (carabiner) made by <em>Rock Empire<\/em>, with a&nbsp;strength of 46 kN in major axis, was attached to the upper part of the tensile machine. The Polish knot was tied to this connector as it would be tied when used for the anchoring or re-belay.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Each test was preceded by tying a knot into a connector, dressing the knot, and loading both strands coming out of the knot. After that did the test itself take place. During the test, only the given tested strand of the rope coming out of the connector was loaded.<\/p>\n\n\n\n<div class=\"wp-block-uagb-image aligncenter uagb-block-1a7ca2db wp-block-uagb-image--layout-default wp-block-uagb-image--effect-zoomin wp-block-uagb-image--align-center\"><figure class=\"wp-block-uagb-image__figure\"><a class=\"\" href=\"https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/1cl3-4v.webp\" target=\"_blank\" rel=\"noreferrer noopener\"><img decoding=\"async\" srcset=\"https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/1cl3-4m.webp ,https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/1cl3-4m.webp 780w, https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/1cl3-4m.webp 360w\" sizes=\"auto, (max-width: 480px) 150px\" src=\"https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/1cl3-4m.webp\" alt=\"Front version test of the Polish knot\" class=\"uag-image-343\" width=\"302\" height=\"309\" title=\"Front version test\" loading=\"lazy\" role=\"img\"\/><\/a><figcaption class=\"uagb-image-caption\"><strong>Figure 4: Front version test<\/strong><\/figcaption><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Each of the tests was performed three times (six tests were performed in total).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">For evaluating the results, the arithmetic mean of all three measurement results was calculated by (<img loading=\"lazy\" decoding=\"async\" width=\"77\" height=\"27\" class=\"wp-image-351\" style=\"width: 77px;\" src=\"https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/1cl3-r1.png\" alt=\"\" srcset=\"https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/1cl3-r1.png 77w, https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/1cl3-r1-18x6.png 18w\" sizes=\"auto, (max-width: 77px) 100vw, 77px\" \/>). Then the squared deviations from the mean was calculated (<img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"37\" class=\"wp-image-353\" style=\"width: 150px;\" src=\"https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/1cl3-r3.png\" alt=\"\" srcset=\"https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/1cl3-r3.png 154w, https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/1cl3-r3-150x37.png 150w, https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/1cl3-r3-18x4.png 18w\" sizes=\"auto, (max-width: 150px) 100vw, 150px\" \/>), and then the mean squared error of the arithmetic mean (<img loading=\"lazy\" decoding=\"async\" width=\"50\" height=\"27\" class=\"wp-image-347\" style=\"width: 50px;\" src=\"https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/1cl3-r5.png\" alt=\"\" srcset=\"https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/1cl3-r5.png 50w, https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/1cl3-r5-18x10.png 18w\" sizes=\"auto, (max-width: 50px) 100vw, 50px\" \/>). To get the measurement results below (<img loading=\"lazy\" decoding=\"async\" width=\"95\" height=\"20\" class=\"wp-image-349\" style=\"width: 95px;\" src=\"https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/1cl3-r7.png\" alt=\"\" srcset=\"https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/1cl3-r7.png 95w, https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/1cl3-r7-18x4.png 18w\" sizes=\"auto, (max-width: 95px) 100vw, 95px\" \/>) the Student coefficient was 1.32<sup data-fn=\"32179f71-4ab4-4079-ae04-c8a78b26d078\" class=\"fn\"><a id=\"32179f71-4ab4-4079-ae04-c8a78b26d078-link\" href=\"#32179f71-4ab4-4079-ae04-c8a78b26d078\">6<\/a><\/sup> (or three measurements taken when choosing 68.3% probability).<\/p>\n\n\n\n<div class=\"wp-block-uagb-image aligncenter uagb-block-01efbbc8 wp-block-uagb-image--layout-default wp-block-uagb-image--effect-zoomin wp-block-uagb-image--align-center\"><figure class=\"wp-block-uagb-image__figure\"><a class=\"\" href=\"https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/1cl3-5v.webp\" target=\"_blank\" rel=\"noreferrer noopener\"><img decoding=\"async\" srcset=\"https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/1cl3-5m.webp ,https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/1cl3-5m.webp 780w, https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/1cl3-5m.webp 360w\" sizes=\"auto, (max-width: 480px) 150px\" src=\"https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/1cl3-5m.webp\" alt=\"Rear version test of the Polish knot\" class=\"uag-image-344\" width=\"301\" height=\"201\" title=\"Rear version test\" loading=\"lazy\" role=\"img\"\/><\/a><figcaption class=\"uagb-image-caption\"><strong>Figure 5: Rear version test<\/strong><\/figcaption><\/figure><\/div>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>3&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Results<\/strong><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">The tests showed that the rear version of the Polish knot showed slightly higher strength than the front version. The test results are shown in the following tables. Tables 1 and 3 show the forces at which the knot broke in each test. Tables 2 and 4 show the resulting strengths of the each Polish knot versions.<\/p>\n\n\n\n<div class=\"wp-block-uagb-image aligncenter uagb-block-a031562e wp-block-uagb-image--layout-default wp-block-uagb-image--effect-zoomin wp-block-uagb-image--align-center\"><figure class=\"wp-block-uagb-image__figure\"><a class=\"\" href=\"https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/1cl3-6v.webp\" target=\"_blank\" rel=\"noreferrer noopener\"><img decoding=\"async\" srcset=\"https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/1cl3-6m.webp ,https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/1cl3-6m.webp 780w, https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/1cl3-6m.webp 360w\" sizes=\"auto, (max-width: 480px) 150px\" src=\"https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/1cl3-6m.webp\" alt=\"Ripped rear version of the Polish knot\" class=\"uag-image-334\" width=\"301\" height=\"280\" title=\"Ripped rear version\" loading=\"lazy\" role=\"img\"\/><\/a><figcaption class=\"uagb-image-caption\"><strong>Figure 6: Ripped rear version<\/strong><\/figcaption><\/figure><\/div>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\"><strong>Table 1: Test results of the front version<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th class=\"has-text-align-center\" data-align=\"center\">Test<\/th><th class=\"has-text-align-center\" data-align=\"center\">Breaking strength<\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\">\u010d. 1<\/td><td class=\"has-text-align-center\" data-align=\"center\">18.00 kN<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">\u010d. 2<\/td><td class=\"has-text-align-center\" data-align=\"center\">17.15 kN<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">\u010d. 3<\/td><td class=\"has-text-align-center\" data-align=\"center\">16.60 kN<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\"><strong>Table 2: Front version strength<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th class=\"has-text-align-center\" data-align=\"center\">Average strength<\/th><th class=\"has-text-align-center\" data-align=\"center\">Squared deviations from the mean<\/th><th class=\"has-text-align-center\" data-align=\"center\">Mean squared error<\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\">17.25 kN<\/td><td class=\"has-text-align-center\" data-align=\"center\">0.54 kN<\/td><td class=\"has-text-align-center\" data-align=\"center\">0.41 kN<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\"><strong>Table 3: Test results of the rear version<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th class=\"has-text-align-center\" data-align=\"center\">Test<\/th><th class=\"has-text-align-center\" data-align=\"center\">Breaking strength<\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\">\u010d. 1<\/td><td class=\"has-text-align-center\" data-align=\"center\">17.95 kN<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">\u010d. 2<\/td><td class=\"has-text-align-center\" data-align=\"center\">18.18 kN<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">\u010d. 3<\/td><td class=\"has-text-align-center\" data-align=\"center\">17.45 kN<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\"><strong>Table 4: Rear version strength<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th class=\"has-text-align-center\" data-align=\"center\">Average strength<\/th><th class=\"has-text-align-center\" data-align=\"center\">Squared deviations from the mean<\/th><th class=\"has-text-align-center\" data-align=\"center\">Mean squared error<\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\">17.86 kN<\/td><td class=\"has-text-align-center\" data-align=\"center\">0.29 kN<\/td><td class=\"has-text-align-center\" data-align=\"center\">0.22 kN<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">From the tables, it can be seen that the higher strength shown by the rear version is not significant (it is a difference of 0.61&nbsp;kN).<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>4&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Discussion<\/strong><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">It is a well-known and repeatedly proven fact that a knot tied to a rope reduces the strength of the rope. It is also no secret that the method of tying and use affects its strength. Examples include the so-called outside and inside versions of the figure eight loop, the figure nine loop and other knots [2, p. 415].<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">In the case of the figure eight loop, the recommended way (inside version) of use is indirectly based on the technical standard [10, Fig. 8], there is no specified way (version) of use for the Polish knot. Some publications show loading of the rear strand [4, p. 4.1], but rather than being the result of research, this use is based more on the orderliness of the knot in the picture and the overall appearance of the knot tied to the anchor point in the wall.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">In the case of the 10.5 mm Truck (Courant) rope, the manufacturer states a nearly 37% reduction in rope strength<sup data-fn=\"81309f32-f960-44f1-ac9e-0e4935aa773a\" class=\"fn\"><a id=\"81309f32-f960-44f1-ac9e-0e4935aa773a-link\" href=\"#81309f32-f960-44f1-ac9e-0e4935aa773a\">7<\/a><\/sup> when using a figure eight loop. Tests have shown that the rear version of the Polish knot will reduce rope strength by slightly more than 40% and the front version will reduce rope strength by just under 43%.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">This comparison partially disqualifies the Polish knot. On the other hand, thanks to its quick and easy tying and subsequent untying, the Polish knot has its place in practice. However, its greatest advantage (apart from operational adjustability) is the minimal rope consumption. It definitely has its role for use in rope access, rope rescue work or caving. It is surprising how much it is neglected in practice.<\/p>\n\n\n\n<div class=\"wp-block-uagb-image aligncenter uagb-block-1bd2d489 wp-block-uagb-image--layout-default wp-block-uagb-image--effect-zoomin wp-block-uagb-image--align-center\"><figure class=\"wp-block-uagb-image__figure\"><a class=\"\" href=\"https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/1cl3-7v.webp\" target=\"_blank\" rel=\"noreferrer noopener\"><img decoding=\"async\" srcset=\"https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/1cl3-7m.webp ,https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/1cl3-7m.webp 780w, https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/1cl3-7m.webp 360w\" sizes=\"auto, (max-width: 480px) 150px\" src=\"https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/1cl3-7m.webp\" alt=\"Comparison of figure eight loop and Polish knot rope consumption\" class=\"uag-image-335\" width=\"301\" height=\"275\" title=\"Comparison of figure eight loop and Polish knot rope consumption\" loading=\"lazy\" role=\"img\"\/><\/a><figcaption class=\"uagb-image-caption\"><strong>Figure 7: Comparison of figure eight loop and Polish knot rope consumption<\/strong><\/figcaption><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">The tests performed showed that which strand of the rope comes out of the Polonaise and is loaded plays only a minor role. When loading the <strong>front version<\/strong>, the total strength is <strong>17.3 \u00b1 0.5 kN<\/strong>. In the case of the <strong>rear version<\/strong>, the strength is <strong>17.9 \u00b1 0.3 kN<\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">However, even with these findings, there is room for further research in the case of the Polish knot. Especially then:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>using the Polish knot in different connectors\/carabiners (e.g. smaller diameter, smaller size, irregular shape, etc.),<\/li>\n\n\n\n<li>when used with different ropes (different ages and different rope diameters),<\/li>\n\n\n\n<li>dynamic loading during fall arrest,<\/li>\n\n\n\n<li>when used with wet or dirty rope.<\/li>\n<\/ol>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>5&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Conclusion<\/strong><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Tests of the Polish knot performed on a&nbsp;rope with a manufacturer-specified diameter of 10.5 mm (with an actual diameter of 10.69 mm) showed that the Polish will reduce its strength by approximately 42%. When comparing the two versions of the possible load of the knot, the strength of the front version is 17.25 \u00b1 0.54 kN and the strength of the back version is 17.86 \u00b1 0.29 kN. These values \u200b\u200bare more than sufficient for practical use and, together with the other benefits of this knot, the Polish knot is suitable for use.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The authors are aware that the three measurements taken may not be considered conclusive. It is important to note that the intent of the test was to compare two rope strands coming from the same knot, not to study the strength of the Polish knot, as both authors recommend.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Acknowledgments<\/strong><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">This research did not receive any grant from funding agencies in the public, commercial, or not-for-profit sectors. Thanks for providing test samples (ropes, lanyards and connectors\/carabiners) to the following subjects (in alphabetical order): <em>Courant<\/em>, <em><a href=\"https:\/\/lezectvi.cz\/\" rel=\"nofollow noopener\" target=\"_blank\">Lezectv\u00ed.cz<\/a><\/em> and <em><a href=\"https:\/\/www.worksafety.cz\/\" rel=\"nofollow noopener\" target=\"_blank\">Worksafety.cz<\/a><\/em>.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>References<\/strong><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">[1] MARBACH, Georges and Bernard TOURTE. <em>Alpine Caving Techniques<\/em>. Allschwill, Caving Publications International, 2002. ISBN 3-908495-10-5<br>[2] \u0160IMON, Jan, Vladim\u00edr DEK\u00dd\u0160 and Peter PAL\u010cEK. Revision of Commonly Used Loop Knots Efficiencies. <em>Acta Physica Polonica<\/em>, A 2020, 138, pp. 404\u2013420. DOI: <a href=\"http:\/\/doi.org\/10.12693\/APhysPolA.138.404\" target=\"_blank\" rel=\"noreferrer noopener nofollow\">http:\/\/doi.org\/10.12693\/APhysPolA.138.404<\/a>.<br>[3] \u010cSN 83 2610 <em>Knots \u2013 Terminology<\/em>. Prague: Czech Standardization Agency, 2021. Sorting symbol: 832610.<br>[4] MAT\u00ddSEK, Radomil. <em>Speleoalpinismus I. and II. part<\/em> [CD-ROM]. Ostrava: Speleomat, 2002.<br>[5] KOUTECK\u00dd, Bohuslav. N\u011bkter\u00e9 m\u00e9n\u011b zn\u00e1m\u00e9 uzly a jejich speleologick\u00e9 vyu\u017eit\u00ed. <em>Speleo<\/em>. 2008, vol. 18, no. 50, pp.&nbsp;60 \u2013 68. ISSN 1213-4724.<br>[6] MARBACH, Georges and Jean-Louis ROCOURT. <em>Techniques de la sp\u00e9l\u00e9ologie alpine<\/em>. 3rd ed. Pont-en-Royans: Exp\u00e9, 2000. ISBN 2-9514640-0-2.<br>[7] ASHLEY, Clifford W. and Geoffrey BUDWORTH. <em>The Ashley Book of Knots<\/em>. New York, NY: Doubleday, a division of Batnam Doubleday Dell Publishing Group, Inc., 1994. ISBN 978-0-385-04025-9.<br>[8] EN 1891 <em>Personal protective equipment for the prevention of falls from a height \u2013 Low stretch kernmantel ropes<\/em>. Prague: Czech Standards Institute, 2000. Sorting symbol: 832641.<br>[9] EN 364 <em>Personal protective equipment against falls from a height. Test methods<\/em>. Prague: Czech Standards Institute, 1996. Sorting symbol: 832660.<br>[10] EN 12841 <em>Personal fall protection equipment \u2013 Rope access systems \u2013 Rope adjustment devices<\/em>. Prague: Czech Standardization Agency, 2024. Sorting symbol: 832635.<\/p>\n<\/div>\n\n\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n<ol class=\"wp-block-footnotes\"><li id=\"bac95edd-c4f6-41d3-ad65-385c5dd05bd6\">using a figure eight loop <a href=\"#bac95edd-c4f6-41d3-ad65-385c5dd05bd6-link\" aria-label=\"Jump to footnote reference 1\">\u21a9\ufe0e<\/a><\/li><li id=\"2290c13e-4e56-4179-8e3d-d464c4b9e80f\">of the total strength of the rope <a href=\"#2290c13e-4e56-4179-8e3d-d464c4b9e80f-link\" aria-label=\"Jump to footnote reference 2\">\u21a9\ufe0e<\/a><\/li><li id=\"c5085a89-687a-4689-9fe6-8a8f6c3f0848\">The rope is loaded with a load of 50 kg for 5 minutes, then the load is increased to 150 kg and the elongation of the rope is measured [8, Art. 5.6]. <a href=\"#c5085a89-687a-4689-9fe6-8a8f6c3f0848-link\" aria-label=\"Jump to footnote reference 3\">\u21a9\ufe0e<\/a><\/li><li id=\"ffd3bb0b-b899-440f-813b-e060204c6a63\">a three-meter rope sample was loaded with a 10 kg load 1350 mm from the anchor point and the diameter was measured every 300 mm from two sides at 90\u00b0 intervals using a caliper [8, Art. 5.3]. <a href=\"#ffd3bb0b-b899-440f-813b-e060204c6a63-link\" aria-label=\"Jump to footnote reference 4\">\u21a9\ufe0e<\/a><\/li><li id=\"e2f91431-0057-4f44-a4bf-b99e5b361881\">The Magnum Steel 2T connector\/carabiner reffers to EN 362:2004 B and EN 12275:2013 B. <a href=\"#e2f91431-0057-4f44-a4bf-b99e5b361881-link\" aria-label=\"Jump to footnote reference 5\">\u21a9\ufe0e<\/a><\/li><li id=\"32179f71-4ab4-4079-ae04-c8a78b26d078\">t = t(P, n) <a href=\"#32179f71-4ab4-4079-ae04-c8a78b26d078-link\" aria-label=\"Jump to footnote reference 6\">\u21a9\ufe0e<\/a><\/li><li id=\"81309f32-f960-44f1-ac9e-0e4935aa773a\">This information is provided by the manufacturer in the instructions without further specification of how the knot test was performed and which strand of the rope (inside or outside version) was loaded. <a href=\"#81309f32-f960-44f1-ac9e-0e4935aa773a-link\" aria-label=\"Jump to footnote reference 7\">\u21a9\ufe0e<\/a><\/li><li id=\"61f91264-9145-4aaf-8cb1-514e990588cd\">p\u0159i pou\u017eit\u00ed osmi\u010dkov\u00e9ho oka <a href=\"#61f91264-9145-4aaf-8cb1-514e990588cd-link\" aria-label=\"Jump to footnote reference 8\">\u21a9\ufe0e<\/a><\/li><li id=\"81f74ee0-39ec-4e71-9f28-b377f9779d74\">z celkov\u00e9 pevnosti lana <a href=\"#81f74ee0-39ec-4e71-9f28-b377f9779d74-link\" aria-label=\"Jump to footnote reference 9\">\u21a9\ufe0e<\/a><\/li><li id=\"212e917b-20ad-45ab-b6bc-18b379e65d2b\">Lano se na dobu 5 minut zat\u00ed\u017e\u00ed b\u0159emenem o\u00a0hmotnosti 50 kg, pot\u00e9 se z\u00e1t\u011b\u017e zv\u00fd\u0161\u00ed na 150 kg a\u00a0zm\u011b\u0159\u00ed se prodlou\u017een\u00ed lana [8, \u010dl. 5.6]. <a href=\"#212e917b-20ad-45ab-b6bc-18b379e65d2b-link\" aria-label=\"Jump to footnote reference 10\">\u21a9\ufe0e<\/a><\/li><li id=\"9a4158a4-f1a2-43fe-b833-c7fe35decce1\">t\u0159\u00edmetrov\u00fd vzorek lana byl 1350 mm od kotevn\u00edho bodu zat\u00ed\u017een b\u0159emenem o hmotnosti 10 kg a ka\u017ed\u00fdch 300 mm byl ze dvou stran s odstupem 90\u00b0 zm\u011b\u0159en pr\u016fm\u011br pomoc\u00ed posuvn\u00e9ho m\u011b\u0159\u00edtka [8, \u010dl. 5.3] <a href=\"#9a4158a4-f1a2-43fe-b833-c7fe35decce1-link\" aria-label=\"Jump to footnote reference 11\">\u21a9\ufe0e<\/a><\/li><li id=\"a1fe6d9c-f546-428f-b210-5957c8f3fba1\">Karabina Magnum Steel 2T je certifikovan\u00e1 podle EN 362:2004 B a EN 12275:2013 B. <a href=\"#a1fe6d9c-f546-428f-b210-5957c8f3fba1-link\" aria-label=\"Jump to footnote reference 12\">\u21a9\ufe0e<\/a><\/li><li id=\"82c80391-a4e4-48fa-9e36-77ca4cd43238\">t = t(P, n) <a href=\"#82c80391-a4e4-48fa-9e36-77ca4cd43238-link\" aria-label=\"Jump to footnote reference 13\">\u21a9\ufe0e<\/a><\/li><li id=\"0d1a930b-be5e-476a-b5c2-af0c49a59de0\">Tento \u00fadaj uv\u00e1d\u00ed v\u00fdrobce v\u00a0n\u00e1vodu bez bli\u017e\u0161\u00edho up\u0159esn\u011bn\u00ed, jak\u00fdm zp\u016fsobem zkou\u0161ku lana v\u00a0uzlu prov\u00e1d\u00ed a kter\u00fd konec lana p\u0159i tom zat\u011b\u017euje. <a href=\"#0d1a930b-be5e-476a-b5c2-af0c49a59de0-link\" aria-label=\"Jump to footnote reference 14\">\u21a9\ufe0e<\/a><\/li><\/ol>","protected":false},"excerpt":{"rendered":"<p>Although the Polish knot is often used for anchoring in rope access, rope rescue and caving due to its advantages, there is a lack of information about its strength. The article deals with the strength and efficiency of the Polish knot, both when loading the front and rear strands of the rope coming out of the knot. It shows that the difference between the individual strands is insignificant. And although the Polish knot shows lower strength than the figure-eight loop, it offers other advantages.<\/p>","protected":false},"author":2,"featured_media":238,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_uag_custom_page_level_css":"","site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"disabled","ast-breadcrumbs-content":"","ast-featured-img":"disabled","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center 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center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":"[{\"content\":\"using a figure eight loop\",\"id\":\"bac95edd-c4f6-41d3-ad65-385c5dd05bd6\"},{\"content\":\"of the total strength of the rope\",\"id\":\"2290c13e-4e56-4179-8e3d-d464c4b9e80f\"},{\"content\":\"The rope is loaded with a load of 50 kg for 5 minutes, then the load is increased to 150 kg and the elongation of the rope is measured [8, Art. 5.6].\",\"id\":\"c5085a89-687a-4689-9fe6-8a8f6c3f0848\"},{\"content\":\"a three-meter rope sample was loaded with a 10 kg load 1350 mm from the anchor point and the diameter was measured every 300 mm from two sides at 90\u00b0 intervals using a caliper [8, Art. 5.3].\",\"id\":\"ffd3bb0b-b899-440f-813b-e060204c6a63\"},{\"content\":\"The Magnum Steel 2T connector\/carabiner reffers to EN 362:2004 B and EN 12275:2013 B.\",\"id\":\"e2f91431-0057-4f44-a4bf-b99e5b361881\"},{\"content\":\"t = t(P, n)\",\"id\":\"32179f71-4ab4-4079-ae04-c8a78b26d078\"},{\"content\":\"This information is provided by the manufacturer in the instructions without further specification of how the knot test was performed and which strand of the rope (inside or outside version) was loaded.\",\"id\":\"81309f32-f960-44f1-ac9e-0e4935aa773a\"},{\"content\":\"p\u0159i pou\u017eit\u00ed osmi\u010dkov\u00e9ho oka\",\"id\":\"61f91264-9145-4aaf-8cb1-514e990588cd\"},{\"content\":\"z celkov\u00e9 pevnosti lana\",\"id\":\"81f74ee0-39ec-4e71-9f28-b377f9779d74\"},{\"content\":\"Lano se na dobu 5 minut zat\u00ed\u017e\u00ed b\u0159emenem o\u00a0hmotnosti 50 kg, pot\u00e9 se z\u00e1t\u011b\u017e zv\u00fd\u0161\u00ed na 150 kg a\u00a0zm\u011b\u0159\u00ed se prodlou\u017een\u00ed lana [8, \u010dl. 5.6].\",\"id\":\"212e917b-20ad-45ab-b6bc-18b379e65d2b\"},{\"content\":\"t\u0159\u00edmetrov\u00fd vzorek lana byl 1350 mm od kotevn\u00edho bodu zat\u00ed\u017een b\u0159emenem o hmotnosti 10 kg a ka\u017ed\u00fdch 300 mm byl ze dvou stran s odstupem 90\u00b0 zm\u011b\u0159en pr\u016fm\u011br pomoc\u00ed posuvn\u00e9ho m\u011b\u0159\u00edtka [8, \u010dl. 5.3]\",\"id\":\"9a4158a4-f1a2-43fe-b833-c7fe35decce1\"},{\"content\":\"Karabina Magnum Steel 2T je certifikovan\u00e1 podle EN 362:2004 B a EN 12275:2013 B.\",\"id\":\"a1fe6d9c-f546-428f-b210-5957c8f3fba1\"},{\"content\":\"t = t(P, n)\",\"id\":\"82c80391-a4e4-48fa-9e36-77ca4cd43238\"},{\"content\":\"Tento \u00fadaj uv\u00e1d\u00ed v\u00fdrobce v\u00a0n\u00e1vodu bez bli\u017e\u0161\u00edho up\u0159esn\u011bn\u00ed, jak\u00fdm zp\u016fsobem zkou\u0161ku lana v\u00a0uzlu prov\u00e1d\u00ed a kter\u00fd konec lana p\u0159i tom zat\u011b\u017euje.\",\"id\":\"0d1a930b-be5e-476a-b5c2-af0c49a59de0\"}]"},"categories":[9],"tags":[14],"class_list":["post-332","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-prace-ve-vyskach-a-nad-volnou-hloubkou","tag-puvodni-prace"],"uagb_featured_image_src":{"full":["https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/1cl3-1v.webp",1294,874,false],"thumbnail":["https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/1cl3-1v-150x101.webp",150,101,true],"medium":["https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/1cl3-1v-544x367.webp",544,367,true],"medium_large":["https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/1cl3-1v-768x519.webp",768,519,true],"large":["https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/1cl3-1v-921x622.webp",921,622,true],"1536x1536":["https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/1cl3-1v.webp",1294,874,false],"2048x2048":["https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/1cl3-1v.webp",1294,874,false],"trp-custom-language-flag":["https:\/\/swarm.craa.cz\/wp-content\/uploads\/2024\/12\/1cl3-1v-18x12.webp",18,12,true]},"uagb_author_info":{"display_name":"info@itshk.cz","author_link":"https:\/\/swarm.craa.cz\/en\/author\/infoitshk-cz\/"},"uagb_comment_info":0,"uagb_excerpt":"P\u0159esto\u017ee uzel Polon\u00e9z je pro sv\u00e9 v\u00fdhody \u010dasto pou\u017e\u00edv\u00e1n ke kotven\u00ed p\u0159i prac\u00edch ve v\u00fd\u0161k\u00e1ch a nad volnou hloubkou, z\u00e1chran\u00e1\u0159stv\u00ed a speleoalpinismu, chyb\u00ed informace o jeho pevnosti. \u010cl\u00e1nek pojedn\u00e1v\u00e1 o m\u011b\u0159en\u00ed pevnosti Polon\u00e9ze a to jak p\u0159i zat\u00ed\u017een\u00ed p\u0159edn\u00edho, tak zadn\u00edho pramenu lana vych\u00e1zej\u00edc\u00edho z uzlu ven. Ukazuje, \u017ee rozd\u00edl jednotliv\u00fdch pramen\u016f je nepatrn\u00fd. A&hellip;","_links":{"self":[{"href":"https:\/\/swarm.craa.cz\/en\/wp-json\/wp\/v2\/posts\/332","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/swarm.craa.cz\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/swarm.craa.cz\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/swarm.craa.cz\/en\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/swarm.craa.cz\/en\/wp-json\/wp\/v2\/comments?post=332"}],"version-history":[{"count":27,"href":"https:\/\/swarm.craa.cz\/en\/wp-json\/wp\/v2\/posts\/332\/revisions"}],"predecessor-version":[{"id":738,"href":"https:\/\/swarm.craa.cz\/en\/wp-json\/wp\/v2\/posts\/332\/revisions\/738"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/swarm.craa.cz\/en\/wp-json\/wp\/v2\/media\/238"}],"wp:attachment":[{"href":"https:\/\/swarm.craa.cz\/en\/wp-json\/wp\/v2\/media?parent=332"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/swarm.craa.cz\/en\/wp-json\/wp\/v2\/categories?post=332"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/swarm.craa.cz\/en\/wp-json\/wp\/v2\/tags?post=332"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}