Hubbry Logo
RopeRopeMain
Open search
Rope
Community hub
Rope
logo
8 pages, 0 posts
0 subscribers
Be the first to start a discussion here.
Be the first to start a discussion here.
Rope
Rope
from Wikipedia

A coil of right-handed laid four-strand rope

A rope is a group of yarns, plies, fibres, or strands that are twisted or braided together into a larger and stronger form. Ropes have high tensile strength and can be used for dragging and lifting. Rope is thicker and stronger than similarly constructed cord, string, and twine.

Construction

[edit]

Rope may be constructed of any long, fibrous material (e.g., rattan, a natural material), but generally is constructed of certain natural or synthetic fibres.[1][2][3] Synthetic fibre ropes are significantly stronger than their natural fibre counterparts, they have a higher tensile strength, they are more resistant to rotting than ropes created from natural fibres, and they can be made to float on water.[4] But synthetic ropes also possess certain disadvantages, including slipperiness, and some can be damaged more easily by UV light.[5]

Common natural fibres for rope are Manila hemp, hemp, linen, cotton, coir, jute, straw, and sisal. Synthetic fibres in use for rope-making include polypropylene, nylon, polyesters (e.g. PET, LCP, Vectran), polyethylene (e.g. Dyneema and Spectra), Aramids (e.g. Twaron, Technora and Kevlar) and acrylics (e.g. Dralon). Some ropes are constructed of mixtures of several fibres or use co-polymer fibres. Wire rope is made of steel or other metal alloys. Ropes have been constructed of other fibrous materials such as silk, wool, and hair, but such ropes are not generally available. Rayon is a regenerated fibre used to make decorative rope.

The twist of the strands in a twisted or braided rope serves not only to keep a rope together, but also enables the rope to more evenly distribute tension among the individual strands. Without any twist in the rope, the shortest strand(s) would always be supporting a much higher proportion of the total load.

Size measurement

[edit]

Because rope has a long history, many systems have been used to specify the size of a rope. In systems that use the inch (Imperial and US customary measurement systems), large ropes over 1 inch (25.4 mm) diameter – such as those used on ships – are measured by their circumference in inches; smaller ropes have a nominal diameter based on the circumference divided by three (as a rough approximation of pi). In the metric system of measurement, the nominal diameter is given in millimetres. The current preferred international standard for rope sizes is to provide the mass per unit length, in kilograms per metre. However, even sources that otherwise use metric units may still give a "rope number" for large ropes, which is the circumference in inches.[6]

Use

[edit]
Bollard and mooring line

Rope has been used since prehistoric times.[7] It is of paramount importance in fields as diverse as construction, seafaring, exploration, sports, theatre, and communications. Many types of knots have been developed to fasten with rope, join ropes, and utilize rope to generate mechanical advantage. Pulleys can redirect the pulling force of a rope in another direction, multiply its lifting or pulling power, and distribute a load over multiple parts of the same rope to increase safety and decrease wear.

Winches and capstans are machines designed to pull ropes.

Knotted ropes have historically been used for measuring and performing mathematical calculations. For example, Ancient Egyptian rope stretchers used knotted ropes to measure distances, medieval European shipbuilders and architects performed calculations using arithmetic ropes, and some pre-colonial South American cultures used quipu for numerical record-keeping.

History

[edit]

The use of ropes for hunting, pulling, fastening, attaching, carrying, lifting, and climbing dates back to prehistoric times. It is likely that the earliest "ropes" were naturally occurring lengths of plant fibre, such as vines, followed soon by the first attempts at twisting and braiding these strands together to form the first proper ropes in the modern sense of the word. The earliest evidence of a suspected rope is a very small fragment of three-ply cord from a Neanderthal site, dated to approximately 50,000 years ago.[8][9] This item was so small, it was only discovered and described with the help of a high-power microscope. It is slightly thicker than the average thumbnail and would not stretch from edge to edge across a little fingernail. There are other ways fibres can twist in nature, without deliberate construction.[10]

A tool dated between 35,000 and 40,000 years old found in the Hohle Fels cave in south-western Germany has been identified as a means for making rope.[11] It is a 20 cm (8 in) strip of mammoth ivory with four holes drilled through it. Each hole is lined with precisely cut spiral incisions. The grooves on three of the holes spiral in a clockwise direction from each side of the strip. The grooves on one hole spiral clockwise on one side, but counterclockwise on the other side.[12] Plant fibres have been found on it that could have come from when they fed through the holes and the tool twisted, creating a single ply yarn. Fiber-making experiments with a replica found that the perforations served as effective guides for raw fibers, making it easier to create a strong, elastic rope than simply twisting fibers by hand; spiral incisions would have tended to keep the fibres in place.[11][13] But the incisions cannot impart any twist to the fibres pulled through the holes.[14] Other 15,000-year-old objects with holes with spiral incisions, made from reindeer antler, found across Europe are thought to have been used to manipulate ropes, or perhaps some other purpose.[15] They were originally named "batons", and thought possibly to have been carried as badges of rank.[13][16]

Impressions of cordage found on fired clay provide evidence of string and ropemaking technology in Pavlov I, Moravia, dating back between 24,000 and 26,000 years.[17] Fossilized fragments of "probably two-ply laid rope of about 7 mm [0.28 in] diameter" were found in one of the caves at Lascaux, dating to approximately 15,000 BC.[18]

The ancient Egyptians were probably the first civilization to develop special tools to make rope. Egyptian rope dates back to 4000 to 3500 BC and was generally made of water reed fibres.[19] Other rope in antiquity was made from the fibres of date palms, flax, grass, papyrus, leather, or animal hair. The use of such ropes, pulled by thousands of workers, enabled the Egyptians to move the heavy stones necessary for building their monuments. Starting from approximately 2800 BC, rope made of hemp fibres was in use in China. Rope and the craft of rope making spread throughout Asia, India, and Europe over the next several thousand years.

From the Middle Ages until the 18th century, in Europe ropes were constructed in ropewalks, very long buildings where strands the full length of the rope were spread out and then laid up or twisted together to form the rope. The cable length was thus set by the length of the available rope walk. This is related to the unit of length termed cable length. This allowed for long ropes of up to 300 yards (270 m) long or longer to be made. These long ropes were necessary in shipping as short ropes would require splicing to make them long enough to use for sheets and halyards. The strongest form of splicing is the short splice, which doubles the cross-sectional area of the rope at the area of the splice, which would cause problems in running the line through pulleys. Any splices narrow enough to maintain smooth running would be less able to support the required weight.[citation needed] Rope intended for naval use would have a coloured yarn, known as the "rogue's yarn", included in the layup. This enabled the source to be identified and to detect pilfering.[20]

Leonardo da Vinci drew sketches of a concept for a ropemaking machine, but it was never built. Remarkable feats of construction were accomplished using rope but without advanced technology: In 1586, Domenico Fontana erected the 327-ton obelisk on Rome's Saint Peter's Square with a concerted effort of 900 men, 75 horses, and countless pulleys and meters of rope. By the late 18th century, several working machines had been built and patented.

Some rope is still made from natural fibres, such as coir and sisal, despite the dominance of synthetic fibres such as nylon and polypropylene, which have become increasingly popular since the 1950s.

Nylon was discovered in the late 1930s and was first introduced into fiber ropes during World War II. Indeed, the first synthetic fiber ropes were small braided parachute cords and three-strand tow ropes for gliders, made of nylon during World War II.[21]

[edit]

Styles

[edit]

Laid or twisted

[edit]
Illustration of the S and Z naming convention

Laid rope, also called twisted rope, is historically the prevalent form of rope, at least in modern Western history. Standard twisted rope generally consists of three strands and is usually right-laid, or given a final right-handed twist. The ISO 2 standard uses the uppercase letters S and Z to indicate the two possible directions of twist, as suggested by the direction of slant of the central portions of these two letters. The handedness of the twist is the direction of the twists as they progress away from an observer. Thus, the Z-twist rope is said to be right-handed, and the S-twist to be left-handed.

Twisted ropes are built up in three steps. First, fibres are gathered and spun into yarns. A number of these yarns are then formed into strands by twisting. The strands are then twisted together to lay the rope. The twist of the yarn is opposite to that of the strand, and that in turn is opposite to that of the rope. It is this counter-twist, introduced with each successive operation, which holds the final rope together as a stable, unified object.[22]

Rope making using the twisted rope method on a 1928 Metters Rope Making Machine

Traditionally, a three strand laid rope is called a plain- or hawser-laid, a four strand rope is called shroud-laid, and a larger rope formed by counter-twisting three or more multi-strand ropes together is called cable-laid.[23] Cable-laid rope is sometimes clamped to maintain a tight counter-twist rendering the resulting cable virtually waterproof. Without this feature, deep water sailing (before the advent of steel chains and other lines) was essentially impossible, as any appreciable length of rope for anchoring or ship-to-ship transfers would become too waterlogged – and therefore too heavy – to lift, even with the aid of a capstan or windlass.

One property of laid rope is that it partially untwists when used.[24] This can cause spinning of suspended loads, or stretching, kinking, or hockling of the rope itself. An additional drawback of twisted construction is that every fibre is exposed to abrasion numerous times along the length of the rope. This means that the rope can degrade to numerous inch-long fibre fragments, which are not easily detected visually.[citation needed]

Twisted ropes have a preferred direction for coiling. Regular right-laid rope should be coiled clockwise to prevent kinking. Coiling this way imparts a twist to the rope. Rope of this type must be bound at its ends by some means to prevent untwisting.

Braided

[edit]
A rope braiding machine at the Arbetets Museum (Museum of Work) in Norrköping, Sweden

While rope may be made from three or more strands,[25] modern braided rope consists of a braided, tubular jacket over strands of fibre, which may also be braided. Some forms of braided rope with untwisted cores have a particular advantage in that they do not impart an additional twisting force when they are stressed. The lack of added twisting forces is an advantage when a load is freely suspended, as when a rope is used for rappelling or to suspend an arborist. Other specialized cores reduce the shock from arresting a fall when used as part of a personal or group safety system.

Braided ropes are generally made from nylon, polyester, polypropylene or high performance fibres such as high modulus polyethylene (HMPE) and aramid. Nylon is chosen for its strength and elastic properties. However, nylon absorbs water and is 10–15% weaker when wet. Polyester is approximately 90% as strong as nylon, but it stretches less under load and is not affected by water. It has somewhat better UV resistance and is more abrasion-resistant. Polypropylene is preferred for low cost and light weight (it floats on water), but it has limited resistance to ultraviolet light, friction, and heat.[citation needed]

Braided ropes (and objects like garden hoses, fibre optic or coaxial cables, etc.) that have no lay or inherent twist uncoil better if each alternate loop is twisted in the opposite direction, such as in figure-eight coils, where the twist reverses regularly and thus cancels out.

A single braid consists of an even number of strands, typically eight or twelve, braided into a circular pattern with half of the strands going clockwise and the other half going anticlockwise. The strands can interlock with either twill or panama (Basked) or seldom plain weave. Kyosev introduced the German notation in English. In this notation, the braiding process is described by the floating length (German: Flechtigkeit) and the number of yarns in a group (German: Fädigkeit), rather than by the weaving-pattern names.[25] The central void may be large or small; if large, the braid may be called hollow.

Double braid, also called braid-on-braid, consists of an inner braid filling the central void in an outer braid, which may be of the same or different material. Often, the inner braid fibre is selected for its strength, while the outer braid fibre is chosen for its resistance to abrasion.

In a solid braid (square braid, gasket, or form braid[26]), there are at least three or more groups of yarns in a complex, interlocking structure. This construction is popular for gaskets and general-purpose utility rope, but rare in specialized high-performance line.

Kernmantle rope has a core (kern) of long twisted fibres in the center, with a braided outer sheath or mantle of woven fibres. The kern provides most of the strength (about 70%), while the mantle protects the kern and determines the handling properties of the rope (how easy it is to hold, to tie knots in, and so on). In dynamic climbing line, the core fibres are usually twisted to make the rope more elastic. Static kernmantle ropes are made with untwisted core fibres and a tighter braid, which makes them stiffer while limiting their elasticity.

Other types

[edit]

Plaited rope is made by braiding twisted strands, and is also called square braid.[27] It is not as round as twisted rope and coarser to the touch. It is less prone to kinking than twisted rope and, depending on the material, very flexible, making it easy to handle and knot. This construction also exposes all fibres, with the same drawbacks as described above. Brait rope is a combination of braided and plaited, a non-rotating alternative to laid three-strand ropes. Due to its excellent energy-absorption characteristics, it is often used by arborists. It is also a popular rope for anchoring and can be used as a mooring warp. Yale Cordage pioneered this type of construction.

An endless winding rope is made by winding single strands of high-performance yarns around two end terminations until the desired break strength or stiffness has been reached. This type of rope (often specified as cable to distinguish it from braided or twined constructions) has the advantage of having no construction stretch, unlike the above constructions. SmartRigging and FibreMax pioneered endless winding.

Rock climbing

[edit]
Dynamic kernmantle rock climbing rope with its braided sheath cut to expose the twisted core yarns and core yarn plies
Section through kernmantle rope

The sport of rock climbing uses what is termed "dynamic" rope, an elastic rope which stretches under load to absorb the energy generated in arresting a fall without creating forces high enough to injure the climber. Such ropes are of kernmantle construction, as described below.

Conversely, "static" ropes have minimal stretch and are not designed to arrest free falls. They are used in caving, rappelling, rescue operations, and various industries, including window washing.

The UIAA, in concert with the CEN, sets climbing-rope standards and oversees testing. Any rope bearing a GUIANA or CE certification tag is suitable for climbing. Climbing ropes cut easily when under load. Keeping them away from sharp rock edges is imperative. Previous falls arrested by a rope, damage to its sheath, and contamination by dirt or solvents all weaken a rope and can render it unsuitable for further sports use.

Rock climbing ropes are designated for single, double, or twin use. A single rope is the most common and is intended to be used by itself. These range in thickness from roughly 9 to 11 mm (0.35 to 0.43 in). Smaller-diameter ropes are lighter, but wear out faster.

Double ropes are thinner than single, usually 9 mm (0.35 in) and under, and are intended for use in pairs. These offer a greater margin of safety against cutting, since it is unlikely that both ropes will be cut, but complicate both belaying and leading. Double ropes may be clipped into alternating pieces of protection, allowing each to stay straighter and reduce both individual and total rope drag.

Twin ropes are thin ropes that must be clipped into the same piece of protection, in effect being treated as a single strand. This adds security in situations where a rope may get cut. However, new, lighter-weight ropes with greater safety have virtually replaced this type of rope.[citation needed]

The butterfly and alpine coils are methods of coiling a rope for carrying.

[edit]

2D images / sections

[edit]

2D flight-throughs/sections

[edit]

3D renderings

[edit]

3D flight-throughs/sections

[edit]

Handling

[edit]
Cordage aboard the French training ship Mutin

Rope made from hemp, cotton, or nylon is generally stored in a cool, dry place for proper storage. To prevent kinking, it is usually coiled. To prevent fraying or unravelling, the ends of a rope are bound with twine (whipping), tape, or heat shrink tubing. The ends of plastic fibre ropes are often melted and fused solid; however, the rope and knotting expert Geoffrey Budworth warns against this practice thus:[28]

Sealing rope ends this way is lazy and dangerous. A tugboat operator once sliced the palm of his hand open down to the sinews after the hardened (and obviously sharp) end of a rope that had been heat-sealed pulled through his grasp. There is no substitute for a properly made whipping.

If a load-bearing rope receives a sharp or sudden jolt or shows signs of deterioration, it is recommended that the rope be replaced immediately; it should be discarded or used only for non-load-bearing tasks.[29][30]

The average rope life span is 5 years. Serious inspection should be given to the line after that point.[citation needed] However, the use to which a rope is put affects the frequency of inspection. Rope used in mission-critical applications, such as mooring lines or running rigging, should be regularly inspected on a much shorter timescale than this. Rope used in life-critical applications such as mountain climbing should be inspected on a far more frequent basis, up to and including before each use.

Avoid stepping on the climbing rope, as this might force tiny pieces of rock through the sheath, which can eventually deteriorate the core of the rope.

Ropes may be coiled on deck for safety, presentation, and tidiness.

Corrosive liquids, solvents, and high temperatures weaken many types of filaments in ropes. Such damage is particularly treacherous because it is often invisible to the eye.[31]

Shock loading should be avoided with general-use ropes, as it can damage them.[32] All ropes should be used within a safe working load, which is much less than their breaking strength.

A rope under tension – particularly if it has a great deal of elasticity – can be dangerous if parted. Care should be taken around lines under load.

Terminology

[edit]

"Rope" is a material and a tool. When it is assigned a specific function, it is often referred to as a "line", especially in nautical usage. A line may get a further distinction, for example, sail control lines are known as "sheets" (e.g., A jib sheet).

A halyard is a line used to raise and lower a sail, typically with a shackle on its sail end. Other maritime examples of "lines" include anchor line, mooring line, fishing line, marline. Common items include clothesline and a chalk line.

In some marine applications, the term "rope" is retained, such as man rope, bolt rope, and bell rope.

See also

[edit]

References

[edit]

Sources

[edit]
  • Gaitzsch, W. Antike Korb- und Seilerwaren, Schriften des Limesmuseums Aalen Nr. 38, 1986
  • Gubser, T. Die bäuerliche Seilerei, G. Krebs AG, Basel, 1965
  • Hearle, John W. S. & O'Hear & McKenna, N. H. A. Handbook of Fibre Rope Technology, CRC Press, 2004
  • Lane, Frederic Chapin, 1932. The Rope Factory and Hemp Trade of Venice in the Fifteenth and Sixteenth Centuries, Journal of Economic and Business History, Vol. 4 No. 4 Suppl. (August 1932).
  • Militzer-Schwenger, L.: Handwerkliche Seilherstellung, Landschaftsverband Westfalen-Lippe, 1992
  • Nilson, A. Studier i svenskt repslageri, Stockholm, 1961
  • Pierer, H.A. Universal-Lexikon, Altenburg, 1845
  • Plymouth Cordage Company, 1931. The Story of Rope; The History and the Modern Development of Rope-Making, Plymouth Cordage Company, North Plymouth, Massachusetts
  • Sanctuary, Anthony, 1996. Rope, Twine and Net Making, Shire Publications Ltd., Cromwell House, Princes Risborough, Buckinghamshire.
  • Schubert, Pit. Sicherheit und Risiko in Fels und Eis, Munich, 1998
  • Smith, Bruce & Padgett, Allen, 1996. On Rope. North American Vertical Rope Techniques, National Speleological Society, Huntsville, Alabama.
  • Strunk, P.; Abels, J. Das große Abenteuer 2.Teil, Verlag Karl Wenzel, Marburg, 1986.
  • Teeter, Emily, 1987. Techniques and Terminology of Rope-Making in Ancient Egypt, Journal of Egyptian Archaeology, Vol. 73 (1987).
  • Tyson, William, no date. Rope, a History of the Hard Fibre Cordage Industry in the United Kingdom, Wheatland Journals, Ltd., London.

Further reading

[edit]
[edit]
Revisions and contributorsEdit on WikipediaRead on Wikipedia
from Grokipedia
Rope is a bundle of natural, synthetic, or metallic filaments, yarns, or strands that are twisted, braided, or otherwise combined into a strong, flexible line capable of bearing tension, with diameters typically ranging from a few millimeters to several centimeters. Humans have produced rope for at least 40,000 years, making it one of the earliest and most universal tools, predating many other technologies such as the . Archaeological evidence shows ancient civilizations, including the , Chinese, and Native Americans, crafting rope from available resources to support , , , and maritime activities. Early techniques involved hand-twisting strips of hide, sinew, , vines, or fibers like , , and before formalized spinning or emerged. Traditional rope materials were predominantly natural fibers such as , , , , , and , valued for their tensile strength and availability, though they could degrade from moisture or UV exposure. Animal-derived options included , , and sinew, while plant-based ones encompassed reeds, grasses, and palm fibers like dom palm in . In the , emerged from 1830s innovations using wires twisted into strands, revolutionizing heavy lifting and . Modern ropes often incorporate synthetic polymers like , , and for enhanced durability, elasticity, and resistance to environmental factors, alongside specialized composites for high-performance applications. Rope construction varies by lay (twist direction) and method: laid rope features three or more strands twisted around a core for balanced strength, while braided rope interweaves strands for greater flexibility and abrasion resistance. Kernmantle designs, common in ropes, consist of a braided sheath protecting a twisted for dynamic absorption. Properties like breaking strength, elongation, and coefficient of friction determine suitability, with natural ropes offering moderate strength (e.g., around 94,000 psi tensile) and high-performance synthetics exceeding 30,000 in some cases (e.g., aramids and UHMWPE). Rope serves myriad purposes across industries, from maritime rigging and ships—where it historically enabled global exploration—to , operations, and sports like and . In and , it facilitated animal control and load transport, while in , wire ropes support cranes, elevators, and suspension bridges. Today, standards from organizations like the classify ropes by use, ensuring safety in life-critical scenarios such as or search-and-.

Materials and Construction

Natural Materials

Natural materials for rope production primarily consist of plant-based fibers derived from bast, , or sources, offering historical significance due to their availability and mechanical properties before the widespread adoption of synthetics. Key fibers include (), extracted from the plant's bast, which is cultivated in major regions such as , , , and the , with U.S. harvested area for fiber reaching approximately 18,900 acres as of 2024. , also known as abaca (Musa textilis), is sourced from the sheaths of a banana relative and predominantly cultivated in the , particularly in the , where province accounts for about 31% of national production as of 2024. ( sisalana) originates from fibers and is grown extensively in tropical areas like , , and , which together produce over 80% of global supply. ( spp.) fibers come from pods and are farmed worldwide, with leading regions including , the , and , though its use in ropes has declined in favor of finer textiles. , derived from () husks, is obtained in coastal tropical zones such as , , and , where coconut cultivation supports byproduct utilization. (), another bast fiber like , is primarily grown in (e.g., , ) and Russia, with tensile strength of 500-1000 MPa and Young's modulus around 50-70 GPa, valued for its strength and low elongation (2-3%) in traditional ropes. ( spp.), sourced from bast in and Bangladesh (over 80% global production), offers tensile strength of 400-800 MPa and high elongation (up to 5%), though it has lower durability in wet conditions. These fibers exhibit varied mechanical properties suited to rope applications, with tensile strengths generally ranging from 130 to 980 MPa depending on the type and processing. Hemp fibers demonstrate high tensile strength of approximately 850 MPa and a indicating moderate elasticity around 30-70 GPa, providing good flexibility under load. Abaca offers superior strength at 400-980 MPa with low elongation (3-10%), making it highly resistant to stretching but prone to brittleness. Sisal provides 400-700 MPa tensile strength and a modulus of 9-22 GPa, offering toughness but limited elasticity. Cotton achieves 287-597 MPa with higher elongation (5-10%), contributing to softer, more pliable ropes, while coir has lower strength at 130-250 MPa yet exceptional elongation up to 40%, enhancing shock absorption. Flax provides 500-1000 MPa tensile strength with low stretch, and jute 400-800 MPa with moderate flexibility. Regarding environmental interactions, most natural fibers show poor water resistance; sisal, for instance, absorbs moisture leading to up to 50% strength loss and degradation in wet conditions due to of its structure. All these fibers are inherently biodegradable, decomposing via microbial action within months to years in or marine environments, which contrasts with persistent synthetics and supports ecological disposal. Historical processing of these fibers involves extraction techniques to separate usable strands from plant material, beginning with to break down bonds holding fibers to woody cores. can be dew-based, where plants like or are spread in fields for microbial action over 10-14 days, or retting, submerging stems for 4-7 days to accelerate bacterial degradation, as commonly applied to and abaca. Following , mechanically crushes and scrapes the stalks to remove non-fibrous , reducing bulk while preserving fiber length. The final step, hackling or combing, aligns and cleans fibers by drawing them through combs or heckles, separating long line fibers for from short tow for coarser uses; this enhances uniformity and tensile performance. Similar apply to , involving retting in tropical climates. As of 2025, farming presents sustainability challenges and benefits, with cultivation expanding globally—reaching approximately 35,000 hectares in the as of 2024—due to its low water needs (half that of ) and soil-enriching properties via , though intensive farming can lead to runoff and if not managed organically. and abaca production in tropical regions supports but faces issues like from and vulnerability to pests, exacerbated by climate change-induced typhoons in the Philippines, reducing abaca yields by up to 20% in affected areas. benefits from being a byproduct, minimizing waste, yet expanding plantations contributes to in . Overall, these fibers promote circular economies through renewability, but sustainable practices like and reduced chemical inputs are critical to mitigate environmental impacts. The shift toward synthetic materials in the mid-20th century was driven by superior durability, though persist in niche eco-friendly applications.

Synthetic Materials

Synthetic materials for ropes primarily consist of man-made polymers engineered for enhanced strength, durability, and environmental resistance compared to natural fibers, which often degrade in wet conditions. These polymers are produced through reactions followed by into fibers, allowing precise control over molecular structure to achieve desired mechanical properties. Nylon, a polyamide polymer, is widely used in ropes due to its high elongation of up to 30% at break, providing excellent shock absorption for dynamic loads. Polyester offers low stretch (typically 10-15% elongation) and superior UV resistance, making it suitable for prolonged outdoor exposure without significant degradation. Polypropylene, valued for its low cost and (specific gravity of 0.90-0.91), floats on and is commonly employed in marine applications where submersion is expected. Aramids, such as , provide exceptional tensile strength exceeding 3000 MPa, enabling lightweight ropes for high-performance uses like mooring and towing. Blends and coatings further optimize synthetic ropes; for instance, (UHMWPE), branded as Dyneema, delivers ultra-high strength with a specific below 1, resulting in floating ropes that outperform in strength-to-weight . These materials are often coated to enhance abrasion resistance or combined in composites for tailored in specialized applications. Synthetic fiber production begins with to form long-chain molecules, followed by melt or solution through spinnerets to draw fibers with uniform diameters, a process distinct from twisting. In 2025, developments in bio-based synthetics include (PLA) blends, derived from renewable sources like , offering eco-friendly alternatives with improved biodegradability while maintaining reasonable tensile properties for sustainable rope manufacturing.

Manufacturing Techniques

Rope manufacturing commences with the formation of core components from raw materials, such as natural fibers or synthetic polymers. Fibers are initially gathered and twisted together to create , which serve as the fundamental building blocks by binding loose elements into a continuous, cohesive strand. This twisting process imparts initial tensile strength and prevents unraveling, with the direction of twist classified as either Z-twist (slanting to the right, like the middle of a Z) or S-twist (slanting to the left, like the middle of an S) when viewed vertically. are then further twisted into larger strands, often in the opposite direction to the yarn twist for balanced construction—typically Z-twisted yarns form S-twisted strands—to minimize and enhance stability during use. Assembly methods vary by rope design, with twisted ropes formed through laying, where multiple strands are helically wound around a central axis. In the common 3-strand plaiting technique, three strands are twisted together in a right-lay (clockwise) or left-lay (counterclockwise) configuration, reversing the strand twist direction again to create a balanced final product. Braided ropes, in contrast, employ specialized braiding machines that interweave numerous yarns or strands in an over-under pattern, producing a tubular or flat structure with greater flexibility and abrasion resistance. For kernmantle constructions, a parallel or twisted core of filaments provides load-bearing capacity, encased by a braided sheath woven on automated maypole-style braiding machines to ensure uniform coverage and protection. Finishing processes stabilize the rope and ensure quality, particularly for synthetic variants. Heat-setting involves controlled exposure to elevated temperatures, typically between 100–200°C, to relax internal stresses in thermoplastic fibers like or , preventing shrinkage and locking the structure in place. Lubrication follows, applying oils or waxes to reduce inter-fiber , enhance flexibility, and prolong by minimizing wear during flexing. Final testing includes visual and mechanical inspections for defects, such as uneven twisting, loose ends, or bird caging—a radial separation of strands resembling a caged bird—using tension pulls and non-destructive methods to verify integrity before packaging. Equipment for rope production has evolved significantly, transitioning from labor-intensive ropewalks to automated systems. Traditional ropewalks, long covered sheds up to 300 meters in length, allowed workers to lay out and twist fibers by hand or with simple winches from the 16th to 19th centuries, enabling production of long naval ropes. Industrialization introduced steam-powered twisting machines in the early 1800s, but post-1950s advancements in synthetic brought high-speed extruders for filament production and computerized braiders, drastically increasing efficiency and precision while accommodating diverse materials.

Physical Properties and Measurement

Dimensions and Sizing

Rope dimensions are primarily defined by , length, and weight per unit length, with measurements standardized for consistency across applications. Historically, in nautical and maritime contexts, larger ropes were sized by their in inches, a practice that persisted into the for ship and heavy-duty uses. Today, is the standard metric, measured using across the widest point under a specified load, typically expressed in millimeters or inches, with tolerances of +2% to +5% of the nominal value to account for manufacturing variations. For instance, ropes below 25 mm (1 inch) are commonly measured by , while larger ones may still reference in some traditional industries. Length is supplied in coils, hanks, or reels, tailored to handling and application needs. Traditional nautical coils for ship measure 600 feet (approximately 183 ), a standard derived from historical cable lengths equivalent to 100 fathoms. Hanks consist of loosely wound bundles for easier storage and dispensing, often around 50 to 100 or feet depending on the material and supplier, without a universal fixed . Modern metric reels typically come in 100- or 200- increments for industrial and recreational uses, facilitating precise cutting and deployment. Weight per unit length, often denoted in kilograms per 100 meters, varies by material density and construction, influencing portability and cost. For example, a 10 mm nylon rope weighs about 5.4 kg per 100 meters, while polypropylene equivalents are lighter at around 2-3 kg per 100 meters due to lower density. This metric helps assess total payload in coiled forms and is critical for applications where weight impacts performance. In specialized uses like climbing, diameters are narrowly ranged for safety and handling; UIAA-certified single dynamic ropes typically fall between 9.5 mm and 11 mm to balance durability, weight, and energy absorption. Larger diameters generally correlate with higher strength capacities, though specific load limits depend on material and testing standards.

Strength and Load Capacities

The strength of a rope is fundamentally characterized by its minimum breaking strength (MBS), defined as the minimum force required to cause failure in a new, unused rope under controlled laboratory conditions. This value represents the rope's ultimate tensile capacity before rupture and is determined by applying a steadily increasing load until breakage occurs. The safe working load (SWL), also known as the working load limit (WLL), is the maximum load a rope should safely support during normal use to prevent failure, accounting for uncertainties such as wear, knots, and dynamic forces. It is calculated by dividing the MBS by a design factor (safety factor) typically ranging from 5 to 12, depending on the application and rope type, as recommended by the Cordage Institute; for general synthetic ropes like , this often results in an SWL of 15-25% of the MBS. Several factors influence a rope's effective load capacity beyond its baseline MBS. Material modulus, which measures under tension, plays a key role; for instance, ropes exhibit significant creep—gradual, time-dependent elongation under sustained loads—due to their relatively low modulus (around 2-5 GPa), potentially reducing long-term load-bearing performance if loads exceed 20-30% of MBS for extended periods. Shock loading, or sudden dynamic impacts, can drastically impair strength, with ropes experiencing up to 50% reduction in effective capacity due to internal and permanent elongation from absorption. Tensile properties, including MBS and elongation, are standardized through protocols like ISO 2307, which outlines methods for determining the breaking force of fiber ropes under static axial loading in a controlled environment, ensuring consistent across manufacturers. This standard specifies conditioning at specified temperatures and humidity, followed by testing on machines capable of applying forces up to the rope's assumed breaking load. A useful metric for comparing rope materials' inherent is the breaking length, the theoretical maximum length at which a rope's own weight equals its tensile strength, given by the equation: Lb=σρgL_b = \frac{\sigma}{\rho g} where σ\sigma is the material's tensile strength, ρ\rho is its , and gg is (approximately 9.81 m/s²). For , with typical σ500800\sigma \approx 500-800 MPa and ρ1.14\rho \approx 1.14 g/cm³, this yields Lb4570L_b \approx 45-70 km, illustrating nylon's balance of strength and for load-bearing applications. Rope strength generally scales with the square of its , providing a simple scaling relation for practical sizing.

Durability Factors

The durability of ropes is significantly influenced by environmental exposure, particularly ultraviolet (UV) radiation, which causes photodegradation in synthetic fibers by breaking molecular bonds and reducing tensile strength over time. Polyester ropes exhibit superior UV resistance compared to nylon, maintaining structural integrity for 3 to 5 years under continuous outdoor exposure, whereas nylon ropes degrade more rapidly, often lasting only about 1 year before substantial strength loss occurs due to brittleness and surface cracking. This difference arises from polyester's more stable polymer structure, which resists UV-induced oxidation better than nylon's polyamide chains. Chemical exposure further impacts rope lifespan, with specific vulnerabilities depending on the material. ropes are highly susceptible to degradation from acids, which hydrolyze the linkages and cause up to 50% strength loss after prolonged contact, but they show strong resistance to s. In contrast, ropes withstand most acids effectively yet suffer from exposure, where breaks bonds, leading to weakening and potential failure. These reactions accelerate in high concentrations or elevated temperatures, emphasizing the need for material selection based on anticipated chemical environments. Abrasion and mechanical represent key usage-related degradation mechanisms, where repeated and bending cycles erode the sheath and core, reducing load-bearing capacity. In ropes, abrasive particles like or can halve the projected fatigue life by accelerating internal wear during sheathing movement, with clean ropes typically enduring thousands of bend cycles under dynamic loads before , while contaminated ones fail much sooner. For instance, standard tests show nylon climbing ropes sustaining approximately 10,000 bending cycles at moderate loads prior to significant strength reduction. manifests as microcracks propagating under cyclic stress, distinct from static abrasion but compounded by environmental dirt ingress. Over time, ropes exhibit aging through increased elongation and progressive strength loss, serving as critical metrics for assessing usability. Dynamic elongation in ropes can rise by 10-20% after extensive use due to fiber creep and viscoelastic relaxation, altering energy absorption and increasing fall distances in applications like . Retirement criteria often hinge on strength retention, with ropes typically retired upon reaching 50% loss of original tensile strength from cumulative wear, UV, or chemical damage, though visual inspections for sheath fuzzing or core exposure trigger earlier replacement to ensure margins. These metrics underscore the importance of periodic testing, as even stored ropes may lose 10-20% strength after 10 years from inherent aging.

Types and Styles

Laid and Twisted Ropes

Laid and twisted ropes represent one of the oldest and most traditional methods of rope construction, where individual fibers are first spun into yarns, then grouped into strands that are helically twisted together to form the final rope. The most common configuration is the three-strand right-laid rope, in which the strands are twisted —known as a right-hand or Z-lay—to create a balanced that resists untwisting during normal use. This right-laid design predominates, accounting for approximately 95% of manufactured three-strand laid ropes, as the twist provides stability when coiled and deployed in maritime settings. Hawser-laid rope specifically refers to this three-strand twisted construction, named for its historical use in hawsers or lines on ships, where the strands are laid up in the same direction to achieve a firm, cylindrical form. These ropes exhibit high flexibility, allowing them to bend around pulleys and winches with relative ease, and they are particularly amenable to splicing, a technique that interweaves the strands for strong, seamless joins without hardware. However, under sustained load, laid ropes can partially untwist, imparting a rotational that may cause spinning of suspended loads or kinking if not managed properly. In applications, laid and twisted ropes have long been favored for lines and docking hawsers due to their grip and load-bearing capacity in wet conditions, as well as in historical for halyards, sheets, and where splicing was essential for repairs at sea. Their spiral structure provides a textured surface for secure handling, though it is less smooth than braided alternatives, which better resist rotation. A key variation is cable-laid rope, formed by twisting multiple laid ropes—typically three right-laid ropes—together in the opposite direction (left-lay) to create a larger, more robust assembly with reduced tendency to rotate overall. This construction enhances strength for heavy-duty uses like deep-sea while maintaining the splicing advantages of its component strands.

Braided Ropes

Braided ropes consist of multiple strands interwoven in a pattern, creating a balanced and versatile that distributes loads evenly across the fibers. This interwoven design contrasts with simpler twisting methods by providing greater stability and reduced tendency to kink under tension. Unlike laid ropes, which rely on helical twisting, braided constructions use a maypole-like process where strands alternate over and under each other, resulting in a more uniform structure suitable for demanding applications. Common types of braided ropes include braid, braid, and double-braided configurations. braid typically involves 8 to 16 carriers on a , forming a distinctive diamond pattern on the exterior that enhances flexibility while maintaining a firm profile; this type often includes a core to control elongation and overall strength. braid follows a similar alternating weave but emphasizes a hollow or semi-hollow structure, mimicking the traditional dance pattern for lighter, more pliable cords used in decorative or low-load scenarios. Double-braided ropes feature an inner braided core enveloped by an outer braided cover, combining the core's load-bearing capacity with the cover's protective qualities for superior overall performance. These ropes exhibit key properties that make them advantageous for modern uses, including rotation resistance, a smooth surface, and enhanced abrasion resistance compared to laid constructions. The balanced braiding minimizes , preventing the rope from spinning under load and ensuring stable handling in applications like hauling or where uncontrolled rotation could pose hazards. The interwoven strands create a sleek, rounded exterior that reduces during use over pulleys or edges, facilitating easier splicing and movement. Additionally, the tight weave distributes wear more evenly, offering higher resistance to abrasion than the exposed strands in laid ropes, which extends in abrasive environments such as marine or industrial settings. Manufacturing of braided ropes primarily employs circular braiding machines, where carriers holding yarn bobbins rotate around a central axis to interlace the strands progressively. The number of carriers—commonly 16 to 48—directly influences the rope's , , and final thickness; higher carrier counts yield finer, more intricate braids with smoother finishes, while fewer carriers produce coarser structures for heavier-duty ropes. This automated allows precise control over tension and pattern, enabling production of ropes tailored to specific load requirements and material types, such as synthetics like or . Some hybrid braided ropes incorporate twisted bases within the core for added stability, though the primary structure remains interwoven. A representative example is static , a double-braided variant with a low-stretch core and protective sheath, widely used in for rappelling and ascent due to its minimal elongation under load—typically ≤5% at working tensions—which provides precise control in confined spaces. These ropes meet standards like EN 1891 for safety in and recreational , prioritizing durability over dynamic energy absorption.

Specialty and Composite Ropes

Specialty ropes are engineered for demanding environments where standard constructions fall short, often integrating or hybrid structures to enhance performance in extreme conditions. These ropes prioritize specific attributes like high elongation for absorption, superior tensile strength under heavy loads, or in low-light scenarios, making them essential in fields such as , heavy lifting, and emergency response. Composite variants combine fibers like aramids, (UHMWPE), and polymers to achieve balanced properties of strength, low weight, and resistance to environmental degradation. Kernmantle ropes represent a key specialty design, featuring a load-bearing core (kern) surrounded by a protective braided sheath (mantle), optimized for applications. In dynamic kernmantle ropes, the is typically constructed from fibers for elasticity, while the sheath may incorporate for added abrasion resistance and durability, allowing the rope to withstand repeated falls. This construction enables dynamic elongation of 30-40% during impact loading, which dissipates energy and reduces forces on climbers, as per UIAA safety standards for single ropes. Another specialty type is plaited rope, often an 8-strand that interweaves pairs of strands in a balanced, torque-free manner, providing reduced heave and improved handling in applications compared to twisted ropes. Wire ropes, another critical specialty type, consist of multiple strands helically wound around a core, providing exceptional strength for industrial uses like crane operations. The 6x19 , with six outer strands each containing 19 wires, offers a balance of flexibility and robustness, suitable for heavy-duty hoisting where loads can exceed hundreds of tons. The breaking strength SS of such ropes is approximated by the formula S=K×d2S = K \times d^2, where dd is the nominal in inches and KK is a material and construction-specific constant (approximately 87,000 when SS is in pounds-force (lbf) for extra improved plow (EIPS) in 6x19 IWRC configurations), ensuring predictable performance under tension. Composite ropes leverage hybrid materials to meet niche requirements, such as ultra-low weight and high modulus for deployment or . Hybrids combining (a ) with Dyneema (UHMWPE) deliver superior tensile strength-to-weight ratios, with providing creep resistance and Dyneema offering impact , enabling ropes that withstand space-like and without degradation. These composites are often braided in core-sheath designs for aerospace tethers, where they support payloads while minimizing mass. For rescue operations in low-visibility conditions, glow-in-the-dark ropes incorporate photoluminescent additives into synthetic fibers like or , charging under ambient light and emitting a steady glow for up to 6 hours. These specialty ropes, such as those with braided phosphorescent sheaths, enhance safety during nighttime search-and-rescue by marking paths or lifelines without relying on batteries, as seen in marine and applications. As of 2025, advancements in smart ropes integrate embedded sensors for real-time strain monitoring, transforming traditional designs into for . These ropes embed fiber-optic or piezoelectric sensors within the core or strands to detect elongation, tension, and , transmitting data via IoT for in cranes or offshore rigs, potentially reducing failure risks by up to 50%. Developments focus on durable, integrations compatible with or synthetic composites, driven by industry standards for enhanced operational .

Historical Development

Ancient Origins

The earliest evidence of rope-making technology dates back to the period in , where impressions of twisted cordage on fired clay artifacts from sites in , , indicate the use of plant fibers for string and rope as early as 28,000 years ago. These impressions, preserved on pottery fragments from the Gravettian culture, suggest early humans twisted fibers such as or bark to create durable cords for binding or hauling. Additionally, a perforated mammoth ivory baton discovered in Hohle Fels Cave, , dated to over 35,000 years ago, served as a specialized tool for twisting and plying fibers into stronger ropes, demonstrating advanced manual techniques that likely involved rolling materials against the body or simple aids. In , rope production evolved using locally abundant natural materials, including reeds, fibers, vines, and strips, with evidence of widespread use by around 3000 BCE for constructing River boats and other vessels. These ropes, often hand-twisted into strands and plied together, provided essential tensile strength for and construction; for instance, ropes made from plant fibers such as were critical in hauling massive stone blocks during the building of the pyramids at , where teams of workers pulled sledges laden with using long, multi-stranded ropes. Early tools, such as wooden mallets for softening and separating fibers, complemented hand-twisting methods, allowing for the creation of ropes up to several hundred meters in length to support large-scale engineering projects. In , similar techniques produced ropes from plant fibers, integral to fishing nets and traps that sustained riverine communities along the and rivers from the third millennium BCE onward. These nets, woven with knotted ropes, facilitated efficient capture of fish and birds, reflecting rope's role in daily sustenance and early agricultural support systems. This pre-industrial reliance on manual twisting and natural materials laid the groundwork for rope's expansion in scale and application through later historical periods.

Industrial Advancements

The mechanization of rope production began in the with the widespread use of ropewalks, long covered sheds designed to allow workers to lay out and twist fibers into uniform strands over extended distances. These facilities were essential for creating the massive quantities of cordage required by naval fleets; for instance, the Chatham Ropery in , constructed in the late 1700s as the longest brick building in Europe at the time, produced ropes for , which demanded over 20 miles of including cables measuring 24 inches in circumference and 600 feet in length. The advent of steam power in the early marked a pivotal advancement, transitioning rope making from labor-intensive manual processes to mechanized operations that supported industrial-scale output. In 1836, the first was installed at the Chatham Ropery to drive spinning and twisting machinery, significantly increasing efficiency and consistency in production. By the , large steam-powered laying machines were introduced at similar facilities, capable of forming multi-strand ropes up to a quarter-mile long in a single run, which reduced production time and costs while meeting the demands of expanding maritime and industrial sectors. Material innovations complemented these mechanical developments, with emerging as the preferred by the mid-19th century due to its exceptional strength, flexibility, and resistance to saltwater degradation, surpassing traditional European varieties. This shift was accelerated by global trade disruptions, such as the (1853–1856), which limited Russian supplies and elevated manila's dominance in ship-rigging and cordage markets. In the United States, naval rope production exemplified this era's progress; the Charlestown Navy Yard's , operational from 1837 to 1971, manufactured essential ropes using manila and other fibers for warships, underscoring the integration of mechanization and material advancements in supporting national defense and commerce.

Modern Innovations

The introduction of synthetic fibers marked a pivotal shift in rope manufacturing during the 20th century, beginning with developed by in the late 1930s. , a , was first synthesized in 1935 and commercially produced by 1938, offering superior strength, elasticity, and resistance to abrasion compared to natural fibers like or . During , 's production was redirected almost entirely to military applications, including parachutes, glider tow ropes, and cargo nets, where its high tensile strength—up to 40% stronger than —proved essential for reliable performance under dynamic loads. Post-war, ropes became widely adopted in civilian sectors, enabling lighter and more durable alternatives for maritime and industrial uses, with early applications demonstrating breaking strengths exceeding 10,000 pounds for 1-inch diameter ropes. Following , emerged in the 1950s as another transformative synthetic, providing enhanced stability and lower stretch under load. acquired rights to technology in 1945 and initiated commercial production in 1950 under the trade name Dacron, with full-scale textile integration by 1953 through its plant. ropes, characterized by their high modulus and resistance to UV degradation, quickly supplemented in applications requiring minimal elongation, such as lines, where they exhibit up to 20% less creep than equivalents. By the mid-1950s, these s had revolutionized rope design, allowing for constructions that balanced strength-to-weight ratios far superior to traditional materials, with 's dimensional stability proving particularly valuable in wet environments. Advancements in high-modulus fibers further elevated rope performance from the 1960s onward, starting with aramids like . Invented in 1965 by chemist during research for lightweight tire reinforcements, is a para-aramid boasting a tensile strength five times that of at equivalent weight and a modulus exceeding 100 GPa. Commercially introduced in 1971, ropes found immediate use in high-stress scenarios like tethers and deep-sea mooring, where their low stretch—under 1% at working loads—and cut resistance outperform earlier synthetics. In the 1980s, (UHMWPE) fibers such as Spectra, developed by (later ), extended this trend with even higher strength-to-weight ratios, up to 15 times that of , and exceptional chemical resistance. Spectra ropes, commercialized in the mid-1980s, enabled ultralight designs for applications like offshore slings, reducing weight by 50-70% compared to wire ropes while maintaining breaking strengths over 50,000 pounds for 1-inch diameters. Experimental developments in the have pushed toward , with (CNT) ropes emerging as prototypes by the mid-2020s. Single-walled CNTs, assembled into twisted ropes, demonstrate tensile strengths approaching 100 GPa—over 50 times that of —and elastic moduli up to 1 TPa, with prototypes in 2024-2025 showcasing reversible capacities for applications like lightweight tethers. These experimental ropes, often produced via wet-spinning or twisting methods, offer potential for space elevators or ultra-high-strength marine lines, though scalability remains a challenge due to alignment and defect issues in current prototypes. Automation has streamlined rope production since the late , with computer numerical control (CNC) braiders enabling precise, high-speed manufacturing. Introduced in the and refined in the , CNC braiders use programmable carriers to interlace fibers at speeds up to 100 meters per minute, allowing customizable patterns for complex constructions like double-braided ropes with integrated cores. This technology reduces labor by 70% and minimizes defects through real-time tension adjustments, supporting the production of high-tensile ropes up to 5 inches in diameter. Complementing this, (AI) has integrated into since the 2010s, employing machine vision systems to inspect for flaws like abrasions or inconsistencies during manufacturing. In rope factories, AI algorithms analyze images at production lines, detecting defects with 99% accuracy and predicting failures based on historical data, as implemented in systems that scan for broken strands at rates exceeding 1,000 meters per hour. These innovations have boosted efficiency, with AI-driven processes cutting waste by up to 30% in rope facilities. Sustainability efforts in the have focused on recycled materials to address , particularly from discarded gear. Programs like Marlow Ropes' Blue initiative, launched in the early , produce ropes from 100% recycled post-consumer , including ocean-bound plastics, diverting thousands of tons of annually while maintaining mechanical properties comparable to virgin fibers—such as tensile strengths over 20,000 pounds for 10mm diameters. Similarly, Rope's collaboration with Legacy Foundation since 2020 recycles end-of-life marine ropes into new high-modulus products, creating closed-loop systems that reduce contributions by processing over 500 tons of gear yearly and emphasizing principles in design. These approaches not only mitigate environmental impact but also preserve rope performance through advanced sorting and extrusion techniques.

Applications and Uses

Maritime and Rigging

In maritime contexts, rope plays a critical role in , which supports and controls the sails and masts of vessels. Rigging is divided into two primary categories: and . includes fixed lines such as shrouds and stays that provide structural support to the mast, preventing it from bending or toppling under wind pressure; shrouds run laterally from the mast to the sides of the hull, while stays extend forward and aft. , by contrast, consists of adjustable lines like halyards, which hoist sails up the mast, and sheets, which control the angle and trim of the sails relative to the wind. These components ensure the vessel's stability and maneuverability in nautical environments, where ropes must withstand constant tension, weather exposure, and dynamic loads from waves and wind. Historically, maritime ropes were primarily made from natural fibers like , which was prized for its strength and availability but required treatment to combat degradation in saltwater environments. Hemp ropes were often tarred—coated with —to enhance rot resistance and waterproofing, a practice essential for long voyages on square-rigged ships where exposure to moisture could lead to rapid deterioration. This tarring process not only sealed the fibers against fungal growth and swelling but also reduced friction during handling. In modern yachts, synthetic materials such as have become standard for their superior performance characteristics, including low stretch that maintains shape and reduces energy loss during tacking or gusts; polyester exhibits approximately 1-2% elongation at 10% of its breaking strength, far less than alternatives like , making it ideal for precise control in recreational and competitive . Key techniques for rope handling in maritime rigging include eye splicing and operation, both vital for secure and efficient management. Eye splicing involves the rope's strands back into itself to form a permanent loop, commonly used for lines to attach to cleats or rings without weakening the rope's integrity; this method retains nearly 90-95% of the rope's original strength and is preferred over knots for its reliability in high-load anchoring scenarios. handling requires winding the rope clockwise onto the drum with 2-3 turns to provide and , followed by cranking the handle to tension lines like halyards or sheets—proper technique prevents slippage and rope damage while allowing quick release under load. These methods emphasize safety and precision, as improper handling can lead to failures during anchoring or . The evolution of maritime ropes reflects advancements in materials and design, transitioning from the heavy, tarred hemp lines of square-rigged ships in the age of sail to lightweight synthetics in contemporary racing. Square riggers relied on thick hemp ropes for their extensive standing and to manage multiple sails, but these added significant vessel weight and required frequent maintenance. As of 2025, high-performance racing yachts increasingly use Dyneema (, or UHMWPE) lines, which offer exceptional strength-to-weight ratios and low creep, replacing traditional wire or rigging; this shift can reduce overall rigging weight by up to 80% compared to wire equivalents, enhancing speed and responsiveness without compromising safety.

Climbing and Rescue Operations

In climbing and rescue operations, ropes are critical for ensuring during vertical access and extractions, where they must either absorb dynamic forces from falls or provide precise control in static loads. Dynamic ropes are designed specifically for , where they elongate under impact to dissipate energy and reduce force on the climber and anchors, typically stretching between 7% and 10% under static load and up to 40% during dynamic falls. This energy absorption is essential for preventing injury in scenarios involving potential falls, as certified by UIAA Safety Standard 101 and EN 892, which test ropes for factors like fall rating (number of UIAA falls held) and dynamic elongation. In contrast, static ropes exhibit minimal elongation, generally less than 5% under load, making them unsuitable for but ideal for rappelling, hauling, and where precision and minimal bounce are required. Certifications play a pivotal role in distinguishing rope types for these applications. Dynamic ropes are rated as single (used alone, 8.5-11mm diameter), half (used in pairs for ), or twin (thinner pairs used together), all meeting EN 892 requirements for impact absorption and sheath slippage resistance. Static ropes, often kernmantle constructions with a low-stretch core, comply with EN 1891 Type A standards, ensuring breaking strength above 22 kN and static elongation under 5%, which supports controlled descents without excessive stretch that could complicate rescues. These certifications, harmonized with UIAA guidelines, verify performance through rigorous drop tests and aging simulations to guarantee reliability in life- contexts. In rescue operations, ropes facilitate specialized systems for high-angle environments, such as steep cliffs or urban structures exceeding 70 degrees from horizontal. Haul systems employ pulleys—often 3:1 or 5:1 configurations—to lift casualties efficiently, multiplying rescuer input while static ropes maintain system stability. Prusik loops, formed from accessory cord tied into friction hitches, enable self-tending progress capture and backup braking; these loops grip the host rope under load but slide freely for adjustments, commonly used in tandem for redundancy in lowering or raising operations. High-angle techniques integrate these elements with anchors and tensioning devices to manage loads in near-vertical , prioritizing low-stretch ropes to minimize swings and ensure predictable rope behavior during extractions. Nylon ropes are susceptible to UV-induced , causing brittleness and reduced tensile strength after prolonged outdoor exposure. These vulnerabilities prompted industry-wide improvements like UV stabilizers and sheath coatings, significantly enhancing rope durability since the late . As of 2025, professional ropes increasingly incorporate RFID tracking to monitor usage , inspection cycles, and wear in rescue fleets, allowing digital logging of exposure hours and load events to preempt failures. Manufacturers like embed RFID chips in static ropes for compliance with regulatory replacement schedules, integrating with apps for real-time safety verification in high-stakes operations. This technology addresses degradation risks by enabling proactive maintenance, particularly in institutional settings like search-and- teams.

Industrial and Everyday Uses

In construction, ropes play a critical role in scaffolding systems, where steel wire ropes reinforce frameworks to provide stability for workers at height, in compliance with OSHA standards for safe sling use. Suspended scaffolding, such as swing stages, relies on wire ropes or cables connected to stirrups to suspend platforms safely from building structures. For crane operations, wire rope slings with Independent Wire Rope Cores (IWRC) are preferred due to their up to 15% higher breaking strength compared to fiber-core variants, enhancing load-handling capacity and resistance to crushing under heavy loads. These IWRC configurations ensure durability in demanding environments like hoisting materials on job sites. Synthetic winch lines, often made from high-modulus polyethylene fibers, are widely used for towing and lifting vehicles or equipment in industrial settings, offering advantages in weight reduction and flexibility over traditional steel cables. These lines incorporate safety factors, such as 10:1 for certain sling applications, to prevent overload during operations like heavy machinery recovery. Their low stretch and abrasion resistance make them suitable for winching tasks, where they can handle working loads derived from breaking strengths exceeding 35,000 pounds in diameters around 9/16 inch. In everyday household applications, ropes serve practical purposes such as clotheslines and tie-downs, where paracord with a 550-pound test strength provides reliable tensioning for drying or securing loads on . This paracord, featuring a braided outer sheath and seven inner strands, supports loads up to its minimum breaking strength while remaining lightweight and knot-resistant for routine tasks like bundling items or creating temporary shelters. Its versatility extends to simple repairs or organizing gear, emphasizing ease of use in non-industrial contexts. As of 2025, emerging trends include specialized ropes for drone payload deployment, such as coiled synthetic systems with quick-release mechanisms that enable secure delivery of payloads up to 10 kilograms in and . In automated warehousing, cable-driven robots utilize lightweight, high-strength ropes for precise payload handling, supporting efficient inventory movement in AI-driven systems. These innovations prioritize minimal weight and enhanced durability to meet the demands of scalable operations. As of 2025, sustainable options like bio-based synthetic ropes are gaining traction for reducing environmental impact in industrial applications.

Handling and Maintenance

Techniques for Use

Ropes are commonly secured using knots and hitches, which allow for temporary attachments while preserving much of the rope's strength. The bowline knot creates a fixed, non-slip loop at the end of a rope, ideal for tying to anchors in climbing or boating scenarios, as it tightens under load but remains easy to untie afterward. Similarly, the figure-eight knot forms a secure loop or stopper, widely used in climbing for tying into harnesses due to its bulkiness that prevents accidental untying and its retention of approximately 75-80% of the rope's breaking strength. Hitches, such as the clove hitch, provide quick, adjustable attachments to poles or carabiners, commonly employed in rigging for temporary holds, though it can slip if not loaded properly. The prusik hitch, a friction-based knot using a smaller cord around a main rope, grips under tension and slides when released, essential for ascending ropes in rescue or mountaineering operations. For permanent joins without significant bulk, splicing techniques interweave rope strands to maintain high strength. An forms a closed loop at the rope's end by tucking strands through the rope's core, retaining up to 100% of the original breaking strength and suitable for or applications. The short splice connects two rope ends by overlapping and interweaving their strands, resulting in a slightly bulkier joint that preserves about 90% strength but is used where conservation is critical, such as in . A long splice achieves a similar end-to-end connection with minimal diameter increase by extending the interweaving over a greater , also retaining approximately 90% strength and preferred in scenarios requiring smooth passage through blocks or pulleys. Hauling heavy loads with ropes often involves block-and-tackle systems, where multiple pulleys (sheaves) redirect the rope to multiply force. In a basic configuration, the mechanical advantage equals the number of supporting rope segments, typically 2n for a system with n sheaves in the moving block (e.g., two sheaves yield a 4:1 advantage), allowing one person to lift loads several times their weight by pulling with reduced effort. To prevent tangles during transport or storage, coiling methods organize the rope efficiently. The butterfly coil involves folding the rope in half and creating stacked loops from the midpoint outward, carried over the shoulders or in a pack, which minimizes twists and allows quick deployment without kinking. In contrast, the alpine coil wraps the rope around the climber's torso in figure-eight patterns with ends secured, facilitating tangle-free carrying on long approaches and easy uncoiling at the belay. Both techniques ensure the rope remains ready for immediate use in dynamic environments like mountaineering.

Storage and Inspection

Proper storage is crucial for preserving the structural integrity and longevity of ropes, particularly synthetic ropes made from materials like or . Ropes should be kept in a cool, dry environment shielded from direct sunlight and (UV) , which can degrade the fibers over time. Exposure to heat, moisture, or chemicals should be avoided, as these accelerate deterioration; for instance, storing a rope in a vehicle's trunk during hot can compromise its strength. To prevent twisting and kinking during storage, ropes are typically coiled using a figure-8 method, which allows for even distribution of tension and facilitates tangle-free deployment. Regular is essential to detect signs of that could compromise , and it should be conducted before and after each use. Visual examination involves checking the entire length for external damage such as cuts, abrasions, , or discoloration, which indicate sheath degradation. Tactile inspection requires running the rope through the hands to feel for irregularities, such as soft spots, stiffness, or unevenness that may signal internal core damage or reduced . To assess for waterlogging, which reduces tensile strength by approximately 20-30% in non-treated synthetics like , users can perform a simple weight check or observe if the rope feels unusually heavy and fails to handle smoothly after drying. The lifespan of a climbing rope depends on usage frequency, storage conditions, and , but general guidelines recommend after 5-10 years from the date, even if unused, due to material aging. For active s, replacement is advised after approximately 50 uses or sooner if subjected to heavy loads, major falls, or visible degradation signs like or flat spots. Cleaning helps remove dirt and grit that cause abrasion but must be done carefully to avoid further damage to synthetic ropes. Use lukewarm with a mild, pH-neutral or , gently agitating the rope in a tub or using a rope-washing bag; avoid , acids, or harsh chemicals, which can weaken the fibers. Rinse thoroughly and air-dry in a shaded area, ensuring the rope is fully dry before storage to prevent or weakening.

Safety Considerations

Ropes pose several significant hazards during use, primarily due to overload, environmental exposure, and chemical interactions. Overloading a rope beyond its rated capacity can cause sudden snapping, resulting in falling loads and severe injuries or fatalities; for instance, OSHA standards mandate that slings, including rope types, must not exceed their working load limits to prevent such failures. Wet conditions exacerbate risks by potentially causing slippage in friction-dependent systems like knots, hitches, or belay devices, as alters surface properties and reduces grip effectiveness, though specific quantitative drops in friction coefficient vary by rope material. Additionally, exposure to harsh chemicals such as acids, alkalis, or solvents can degrade synthetic ropes, weakening their structure and leading to premature failure, while direct contact may cause chemical burns to users' skin if protective measures are absent. To mitigate these hazards, best practices emphasize applying a , typically 5:1 for working ropes, which ensures the load does not approach the breaking strength even under dynamic conditions. Pre-use checks are essential, involving visual examination for visible damage, cuts, or contamination to confirm the rope's integrity before deployment. Integrating (PPE), such as gloves to prevent burns and cuts, helmets for overhead risks, and against snapping debris, further enhances user safety during handling and operation. Regulatory frameworks like OSHA 1926.251 specifically govern slings, requiring rated capacities to be marked, of use with unsafe hitches, and protection from sharp edges to avoid abrasion-induced failures. Case studies from the highlight the consequences of overlooked abrasion; in the 2010 Yellow Spur accident, a rope was severed by contact with a sharp rock edge during a pendulum fall, causing a 70-foot drop and underscoring the need for route assessment to identify such hazards. Similar incidents in have reinforced the importance of monitoring environmental interactions to prevent abrasion-related rope compromise.

Terminology and Standards

Core Definitions

Rope anatomy refers to the basic structural components that form its , typically beginning with individual fibers twisted together to create . A consists of multiple fibers, such as natural materials like or synthetic ones like , twisted in a consistent direction to form a continuous length that provides initial strength and flexibility. These yarns are then grouped and twisted in the opposite direction to produce strands, which are the primary building blocks of the rope's body, enabling greater tensile strength through balanced tension. Strands are combined—often three or more—by twisting them around a central axis to form the complete , with the twist known as the lay, typically ranging from 30° to 45° to optimize load distribution and minimize slippage between components. The lay direction can be right-hand () or left-hand (counterclockwise), influencing the rope's handling and resistance to untwisting under load. In functional usage, ropes are divided into key parts for knotting and manipulation: the working end is the portion actively used to form knots or secure loads, while the standing part is the main length of the rope that remains stationary and bears the primary tension. The bight refers to a U-shaped section where the rope doubles back on itself without crossing, commonly used as a starting point for loops or hitches. Key metrics evaluate rope performance and suitability: circumference measures the rope's girth, typically in inches or millimeters, which determines its grip and load capacity. Hand describes the tactile quality or softness of the rope's surface, influenced by type and construction, with softer hands providing better comfort for prolonged handling in applications like climbing. Balance assesses the rope's resistance to under load, achieved through symmetric strand twisting to prevent spinning, which enhances stability during hoisting or pulling. Historically, rope components included the heart, referring to the central core that supports the outer strands in multi-layered constructions like hawser-laid ropes, providing additional strength without visible bulk. The selvage denoted the outer wrap or serving, a protective layer of smaller yarns or coverings wound around the rope's exterior to shield against abrasion and environmental wear.

Industry-Specific Terms

In the climbing industry, the UIAA fall factor is defined as the ratio of the maximum distance of a fall to the length of rope available to absorb it, with a theoretical maximum of 2.0 occurring when a climber falls from the full length of the rope without any prior pay-out. This metric quantifies fall severity, as higher factors generate greater impact forces on the climber, belayer, and protection gear, with UIAA certification testing for single ropes simulating falls at a factor of approximately 1.78 using an 80 kg mass dropped from 5 m onto 2.8 m of rope (variations for half/twin ropes, e.g., 5.6 m drop onto 3 m for factor ~1.87). The UIAA 101 standard was updated in July 2025, maintaining key tests. Sheath slippage refers to the relative movement between the rope's outer sheath and inner core during use, often resulting from abrasion or repeated loading, and is measured by pulling a rope section through a standardized opening; UIAA standards limit acceptable slippage to no more than 20 mm to ensure structural integrity. In maritime contexts, a lanyard is a short, sturdy rope or line used to secure movable objects, such as blocks or tools, to prevent loss overboard, typically attached at one end to the item and the other to a fixed point like a rail or shroud. A preventer is an auxiliary rope rigged to provide additional support or restraint, such as a preventer guy that holds a boom or spar in place against wind or wave forces to avert accidental jibing or swinging. The process of worming, parcelling, and serving protects standing rigging from chafe and moisture: worming involves laying small cords into the grooves between strands to round the rope and exclude water; parcelling wraps tarred canvas strips along the lay (twist direction) for further sealing; and serving binds the assembly with thin line wound tightly against the lay for durability. For industrial wire ropes, lay length denotes the axial distance along the rope required for one complete helical revolution of the strands around , influencing flexibility, strength, and wear patterns; for example, regular lay ropes have strands twisted opposite to the wires within strands, promoting stability in hoisting applications. Filler wires are smaller-diameter wires incorporated in certain constructions, such as 6x25 filler wire ropes, to occupy voids between the inner and outer layers of strands, thereby increasing the metallic cross-sectional area, enhancing load-bearing capacity, and reducing internal abrasion without altering overall diameter. As of 2025, terminology includes external IoT-enabled telemetry systems for ropes, where clip-on sensors monitor tension, elongation, and fatigue via data transmission, as in load sensors for applications such as cranes or operations. This technology facilitates by alerting operators to threshold exceedances through connected networks, with terms like " " denoting the wireless readout of deformation data from sensors attached to the rope.

Regulatory Standards

Regulatory standards for ropes are established by international and national bodies to ensure safety, quality, and performance in production and application. The (ISO) develops guidelines such as ISO 2307:2019, which specifies methods for determining physical and mechanical properties of fiber ropes, including , , lay length, and elongation under load. The (CEN) issues standards like EN 1891:1998, applicable to low-stretch kernmantel ropes used in rope access and , defining requirements for diameters between 8.5 mm and 16 mm, minimum static tensile strength of 22 kN for Type A ropes, and low elongation limits not exceeding 5%. In the maritime sector, the (ABS) provides guidance through its Rules for Building and Classing Offshore Vessels and specific Guidance Notes on the Application of Fiber Rope for Offshore Mooring, covering design, materials, testing, manufacturing, installation, and survey criteria for fiber ropes in mooring systems. Key requirements under these standards include mandatory labeling and rigorous testing protocols. Ropes must be labeled with essential information such as minimum breaking strength (MBS), material composition, diameter, and length to facilitate safe use and compliance verification. Testing protocols encompass static strength tests, elongation measurements, and proof loading to validate performance; for instance, EN 1891 requires ropes to withstand a proof load equivalent to at least 50% of the MBS without failure, alongside dynamic impact tests for climbing applications. ISO 2307 outlines procedures for mechanical testing, including tensile strength determination under controlled conditions to ensure ropes meet specified load-bearing capacities. Recent updates to regulatory frameworks address environmental and health concerns in rope manufacturing. As of 2025, the has proposed enhanced REACH restrictions on per- and polyfluoroalkyl substances (PFAS), commonly used in synthetic rope coatings for water repellency and durability, with evaluation ongoing until end of 2026 and potential bans effective from January 2026 for textiles and related products like synthetic fiber ropes to mitigate risks from chemical leaching. Compliance with these standards is enforced through traceability mechanisms and third-party certifications. Manufacturers must incorporate traceability codes, such as batch numbers and production dates on labels, to enable recall and quality tracking throughout the supply chain. Third-party certifications, including the UIAA label for mountaineering equipment and the CE mark for conformity to EU directives, verify adherence to standards like EN 1891 and UIAA 107, with independent testing by accredited labs ensuring ropes meet safety thresholds before market entry. For maritime ropes, ABS certification involves on-site inspections and documentation to confirm compliance with mooring guidelines.

Visual Representations

Microstructural Images

Microstructural imaging techniques enable detailed examination of rope internals, revealing fiber orientations, packing efficiencies, and interfacial interactions that influence mechanical performance. These methods are essential for material scientists to optimize rope design without . Micro-computed tomography (μCT) scanning offers non-destructive three-dimensional (3D) reconstructions of rope microstructures, capturing fiber packing densities and void distributions at resolutions down to a few micrometers. In studies of ropes, μCT reveals varying staple fiber densities, with the highest packing observed near hollow cores in twisted configurations, where densities can exceed 70% in localized regions. For twisted three-strand ropes, such as those made from fibers, μCT images demonstrate filament packing changes under applied loads, showing reduced voids as twist levels increase from 50 to 100 turns per meter, enhancing overall structural integrity. In contrast, braided tubular composites exhibit more uniform but higher void contents, often 5-10% by volume, due to interlaced fiber paths that trap air pockets during . Scanning electron microscopy (SEM) provides high-resolution two-dimensional (2D) cross-sectional views, particularly useful for assessing in synthetic ropes. SEM images of nylon-based yarns illustrate strong interfacial bonding between filaments, with minimal gaps indicating effective and coating processes that promote load sharing. In or ropes, cross-sections reveal filament diameters ranging from 10-30 μm, with levels visualized through smooth fiber-to-fiber contacts that resist under shear. These images highlight how synthetic materials achieve higher cohesion compared to natural counterparts, contributing to superior resistance. Animations derived from microstructural simulations depict twist propagation under tension, illustrating dynamic fiber realignment within rope strands. These visualizations show how initial twists migrate along the length, compressing inner filaments and expanding outer ones, with plectonemic structures forming at low tension levels. In solenoidal configurations under high stretch, animations reveal uniform twist distribution that minimizes loss. Such models, based on particle-chain simulations, aid in predicting failure modes like kinking in over-twisted ropes. Representative examples contrast natural and synthetic microstructures: hemp ropes display irregular fiber cross-sections under SEM, with lumen voids and rough surfaces from bast extraction, leading to packing densities below 60% and potential weak adhesion points. Conversely, nylon ropes exhibit uniform extruded filaments with circular profiles and smooth surfaces, achieving consistent packing above 80% and enhanced integrity due to melt-spinning uniformity. These differences underscore why synthetics often outperform naturals in consistent load-bearing, though hemp offers biodegradability advantages.

Construction Diagrams

Construction diagrams for ropes illustrate the assembly processes and internal structures essential for understanding their mechanical properties and manufacturing techniques. These schematic representations typically depict the progression from raw fibers to finished products, highlighting twisting, braiding, and layering methods used in both traditional and contemporary rope production. Step-by-step twisting diagrams outline the foundational process of laid rope construction, beginning with individual fibers spun into yarns, followed by multiple yarns twisted together to form strands, and finally several strands laid around a core or each other to create the rope. In these visuals, the direction of twist—often right-handed (Z-twist) for strands and left-handed (S-twist) for the final lay—is shown to prevent untwisting under load, with arrows indicating rotational paths during machinery operation. Braiding pattern diagrams focus on the interlacing of carriers in maypole-style braiders, where spools of or pre-twisted strands follow predefined paths around a central to produce balanced, torque-neutral ropes. These schematics map carrier trajectories, such as in 8-, 12-, or 16-carrier setups, showing how alternating over-under weaves create uniform sheaths or full-braided structures, with color-coded lines representing strand progression to avoid tangling. Cross-sectional diagrams reveal the internal geometry of various rope types; for laid ropes, they display three or four strands twisted together, forming triangular voids at the center where strands meet, which can affect flexibility and strength distribution. In contrast, kernmantle constructions show a concentric with a parallel-fiber core (kern) encapsulated by a braided sheath (mantle), minimizing voids for enhanced load-bearing and abrasion resistance. Historical diagrams of 19th-century ropewalks depict elongated, linear facilities up to 300 meters long, with sequential stations for heckling fibers, spinning yarns, forming strands, and closing the rope via manual or steam-powered hooks and travelers. These layouts, often illustrated in longitudinal plans, emphasize the straight-line workflow to allow workers to walk backward while laying strands, as seen in naval blueprints from the era. Modern construction diagrams increasingly incorporate (CAD) models for composite-integrated ropes, simulating hybrid structures where synthetic fibers are embedded with carbon or reinforcements during braiding. These 3D parametric models visualize layer-by-layer integration, predicting stress distributions and void minimization in applications like offshore mooring.

Usage Illustrations

Usage illustrations for ropes encompass a variety of diagrams, photographs, animations, and icons that demonstrate practical applications across industries such as , maritime operations, and . These visuals aid in , protocols, and by showing step-by-step techniques and hazard avoidance. Diagrams of formations, particularly the , illustrate the loop essential for secure, non-slipping attachments in and contexts. The creates a fixed loop at the rope's end by forming a small loop (the "rabbit hole"), passing the working end up through it (the " comes out of the hole"), around the standing part (around the tree), and back down into the original loop, resulting in a that maintains strength under load without tightening on the attached object. Such step-by-step diagrams, often sequential line drawings, highlight the rope's path to prevent common errors like incomplete tucks. Rigging setups for are depicted through schematic diagrams that visualize (MA), showing how multiple pulleys redirect and multiply force in hauling systems. For instance, a 3:1 Z-rig diagram illustrates a fixed pulley at the , a traveling pulley on the load, and a rope routed to achieve three rope segments supporting the load, thereby reducing the input force needed by a factor of three while accounting for friction losses typically around 10-20% per pulley. These visuals use arrows to indicate force directions and labeled components like prusik backups for , common in operations. Photographs and animations capture belay techniques, emphasizing management to arrest falls. In top-rope , sequential photos show the belayer using a tube-style device like the ATC, with the rope threaded brake-strand down, pulling slack through in a PBUS (pull-brake-under-slide) sequence to maintain tension while keeping the brake hand dominant. Animations further demonstrate lower-off procedures, where the belayer feeds rope smoothly to lower the climber, highlighting body positioning to counter sudden loads up to 5-10 kN in dynamic scenarios. Maritime splicing sequences are illustrated via detailed, multi-panel drawings that guide the interweaving of rope strands for durable joins without knots. For a three-strand , illustrations depict tapering the end strands, inserting them into the standing part's opposing strands in an over-under pattern over four to six tucks, followed by smoothing and serving to match the rope's , achieving near-100% strength retention for lines. These sequences, often color-coded for strands, are vital for applications like docking where splices withstand repeated tidal stresses. Safety illustrations include hazard icons for overload, such as red warning symbols depicting snapped ropes under excessive tension exceeding the minimum breaking strength (MBS), typically 20-30 kN for ropes, to alert users to risks like factor-2 falls. Proper coiling diagrams show figure-eight or alpine methods, with the rope laid in loose loops to prevent kinks that could reduce strength by up to 50%, ensuring tangle-free deployment in emergencies. Contemporary usage in 2025 includes schematics for drone towing, where diagrams outline rope-pull systems for utility line installation, featuring a drone carrying a lightweight pilot rope (e.g., 1-2 mm Dyneema) to span towers, followed by heavier conductors. These visuals depict tensioners and pulleys maintaining 50-100 loads during flights up to 1 km, with arresting hooks for recovery to mitigate wind-induced snaps.

References

  1. https://www.sciencedirect.com/[science](/page/Science)/article/pii/S240584402200041X
  2. https://www.[mdpi](/page/MDPI).com/2624-7402/6/3/167
Add your contribution
Related Hubs
User Avatar
No comments yet.