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Length overall

Length overall (LOA) is the maximum length of a vessel's hull, measured parallel to the waterline from the extreme forward end to the extreme aft end.^[1] In some regulatory or operational contexts, such as for certain fishing vessels, non-essential protrusions like bowsprits, rudders, or outboard motor brackets may be excluded.^[2] In naval architecture, LOA is a key principal dimension used to describe a ship's size, often measured in feet or meters.^[3] LOA plays a critical role in various practical applications, including docking and berthing, where it provides a more relevant figure than other length metrics like length between perpendiculars for determining space requirements at ports. It is also essential for regulatory purposes, such as in international maritime identification schemes by the International Maritime Organization (IMO), which apply to vessels with an LOA of 12 meters or more authorized to operate beyond national waters.^[4] Additionally, LOA serves as a fundamental parameter for ship classification, stability assessments, and operational planning, influencing factors like marina berthing costs and vessel identification at sea.

Overview

Definition

Length overall (LOA), also denoted as o/a or oa, is the maximum length of a vessel's hull measured parallel to the waterline from the foremost fixed point, such as the stem, to the aftermost fixed point, such as the stern.^[5] This measurement includes fixed protrusions like bowsprits and rudders that form integral parts of the hull structure, but excludes removable or non-structural fittings such as flagpoles, outboard motors, or dinghies.^[6] It represents the total extreme fore-to-aft dimension along the centerline, capturing the vessel's full spatial extent for practical purposes in design and operation.^[7] The measurement is typically taken with reference to the designed load waterline, which corresponds to the vessel's displacement under normal operating conditions, unless otherwise specified for particular assessments.^[8] This ensures consistency in evaluating the vessel's proportions relative to its intended load and performance. In international contexts, LOA is expressed in meters following ISO standards for small craft and maritime conventions, while imperial units like feet are used in U.S. customary practices.

Importance in naval architecture

In naval architecture, the length overall (LOA) plays a pivotal role in defining the hull form, directly influencing hydrodynamic efficiency and wave resistance. A longer LOA enables a more slender hull shape, which reduces the wave-making resistance by allowing the vessel to generate longer, less disruptive waves relative to its speed, as quantified by the Froude number (Fn = V / √(g × L)), where longer lengths lower Fn for a given velocity, minimizing energy loss to wave formation.^[9] For instance, in computational models of cargo ships, extending LOA from 55 m to 75 m while maintaining beam and draft reduced the resistance coefficient from 0.0236 to 0.0120, underscoring LOA's primacy in optimizing hull forms for reduced drag in calm waters.^[10]^[11] The impact of LOA on ship stability is significant, particularly through its interaction with displacement and metacentric height (GM). Longer LOA generally permits greater beam and overall displacement for a given draft, which can enhance transverse stability by increasing the moment of inertia of the waterplane; however, the effect on GM varies across loading conditions due to redistributed buoyancy, as observed in simulations. In full-load conditions, GM increased slightly from 2.507 m at 55 m LOA to 2.513 m at 75 m LOA.^[10] Conversely, in lightship or ballast states, longer LOA boosts GM (e.g., from 7.655 m to 7.763 m), improving initial stability against rolling motions.^[10] This dual effect highlights LOA's role in balancing stability across loading conditions, where excessive length without proportional beam adjustments could compromise righting moments in waves. In design considerations, LOA serves as a foundational parameter for sizing cargo capacity, crew accommodations, and propulsion requirements. It directly scales volumetric capacity, with displacement rising linearly—e.g., from 2,426 tons at 55 m LOA to 3,308 tons at 75 m LOA—allowing for larger holds or compartments while influencing the layout of crew quarters amidships for safety and efficiency.^[10] Propulsion power needs are also tied to LOA, as longer hulls exhibit lower resistance per unit displacement, reducing required effective power (e.g., from 386 kW at shorter lengths to 366 kW at extended LOA for equivalent speeds), though this must account for increased structural weight.^[10]^[9] Compared to other dimensions, LOA represents the primary "headline" metric for a vessel's overall scale, contrasting with beam, which governs width-related stability and form drag via the length-to-beam (L/B) ratio—higher L/B ratios (e.g., >7 for cargo ships) reduce wave drag but may necessitate wider beams for adequate GM.^[12] Draft, meanwhile, addresses vertical immersion and buoyancy, but LOA integrates these by setting the longitudinal framework for total volume and hydrodynamic profile, ensuring holistic design coherence.^[13]

Measurement methods

Length overall (LOA)

Length overall (LOA) is defined as the maximum length of a vessel's hull, measured as the horizontal distance between the forward-most point, typically the stem head, and the after-most point, such as the rudder post or stern, parallel to the baseline.^[14] This measurement captures the total external extent of the hull in a straight line, ensuring it reflects the vessel's full structural footprint for practical applications like docking.^[15] The procedure involves identifying the extreme points on the hull and measuring the horizontal distance between them, parallel to the baseline, independent of load or waterline variations.^[16] Inclusions in LOA encompass fixed structural elements that define the hull's extremities, such as skegs. For sailing vessels, an integral bowsprit may be included if it forms part of the hull structure.^[15] These elements are incorporated because they contribute to the vessel's overall operational profile and cannot be detached without altering the hull structure. Exclusions include bowsprits, rudders, outboard motors, motor brackets, handles, and other fittings or extensions, as well as removable or non-structural items such as dinghies, booms, and antennas, particularly for recreational vessels.^[17] Measurement standards vary by jurisdiction and vessel type; for example, recreational vessels under USCG guidelines exclude bowsprits and rudders, while commercial ships per IMO include fixed hull extremities.^[14]^[4] Common tools for measuring LOA include tape measures for smaller vessels, laser rangefinders for precision over distances, and CAD software during design or verification phases, with accuracy typically maintained to within 0.1% for large commercial ships to ensure regulatory compliance.^[18] Physical measurements are often cross-verified against design plans using surveying equipment to account for any protrusions. Unlike length at waterline (LWL), which fluctuates based on draft and load, LOA provides a constant metric unaffected by operational changes.^[14] Variations in LOA measurement occur by vessel type; for multihull designs like catamarans, the length is determined by the longest individual hull to represent the primary structural extent.^[19] For ships featuring overhangs at the bow or stern, such as bulbous bows or extended transoms, these are fully included in the total to capture the complete horizontal span.^[15]

Length at waterline (LWL)

The length at waterline (LWL) is defined as the length of a vessel's hull measured along the waterline under designed load conditions, specifically from the points where the hull intersects the waterline at the bow and stern.^[20]^[21] This measurement is taken parallel to the designed summer load waterline, representing the immersed portion of the hull when the vessel is at its specified maximum draft.^[20]^[22] LWL is the length of the hull along the designed summer load waterline, measured as the curve from the forwardmost point where the hull intersects the waterline at the bow to the aftmost point at the stern. This geometric measurement accounts for the hull's molded surface and excludes any external fittings or protrusions above the water.^[20]^[23] In practice, LWL is often shorter than the length overall (LOA) because it does not include bow flares, stern overhangs, or other extensions beyond the waterline intersections.^[21]^[22] Note that LWL differs from length between perpendiculars (LBP), which is the straight distance between defined forward and after perpendiculars. The actual LWL varies with changes in draft, trim, and heel as the vessel loads or unloads, altering the position of the waterline relative to the hull.^[20]^[23] For instance, increased displacement raises the waterline, potentially lengthening the effective LWL, while variations in trim can shift the measurement forward or aft.^[20] In naval architecture design, a fixed LWL value is established at the summer load waterline for predicting hydrodynamic performance, stability, and resistance, providing a standardized baseline despite operational variability.^[23]^[20] This fixed LWL serves as the basis for estimating a displacement hull's theoretical maximum speed, known as hull speed, approximated by the formula:

V \approx 1.34 \sqrt{\text{LWL (in feet)}}

where V is in knots; this empirical relation highlights LWL's role in wave-making resistance limits.^[23]

Length between perpendiculars (LBP)

The length between perpendiculars (LBP), also denoted as LPP, is defined as the horizontal distance measured along the summer load waterline between the forward perpendicular and the after perpendicular.^[24] This measurement provides a consistent structural benchmark in naval architecture, focusing on the primary hull extent at the vessel's design load condition.^[25] The forward perpendicular is established as the vertical line intersecting the forward side of the stem with the summer load waterline, marking the bow's reference point.^[24] The after perpendicular is the vertical line through the after side of the rudder post or, if no rudder post exists, through the centerline of the rudder stock.^[24] These perpendiculars ensure precise placement for engineering calculations, emphasizing the load-bearing frame rather than external protrusions. LBP functions as a key standard for tonnage calculations, stability assessments, and comparing vessels of similar design, enabling engineers to evaluate hydrodynamic performance and structural integrity without variability from appendages.^[26] It is typically 2-5% shorter than the length overall (LOA), excluding bow and stern overhangs that extend beyond the perpendiculars.^[27] Additionally, LBP informs load line regulations by serving as the basis for determining the assigned length in international conventions.^[28] This convention originated from 19th-century shipbuilding practices, where perpendiculars were adopted to standardize framing, ensure uniform load distribution, and provide a reliable indicator of a vessel's carrying capacity by focusing on the usable hull length.^[29]

Length on deck (LOD)

Length on deck (LOD) refers to the length of a vessel measured along the deck from the bow to the stern, excluding removable spars such as bowsprits, overhanging rudders, or other non-structural appendages.^[30] This measurement focuses on the primary deck surface, providing a practical assessment of the usable onboard space without accounting for extensions that do not contribute to the core structure.^[31] In yacht design, LOD is particularly valued for its emphasis on the enclosed and functional areas of the vessel.^[32] The measurement of LOD is taken from the inside face of the stem at the forward end of the deck to the edge of the transom at the aft end, following a line parallel to the keel.^[33] This approach ensures consistency by aligning with the deck's centerline and avoiding distortions from curved or overhanging elements.^[34] For classic and small vessels, such as wooden or traditional designs, this method standardizes comparisons by disregarding temporary or removable features that could inflate overall dimensions.^[32] LOD differs from length overall (LOA) by excluding protrusions beyond the deck edges, resulting in a shorter figure that better reflects the vessel's intrinsic size; for instance, in a gaff-rigged sloop, it omits the extending end of the boom.^[35] This distinction is especially relevant in sailing yachts, where appendages like bowsprits can significantly extend LOA but do not affect deck usability.^[31] In the context of small craft, LOD often aligns closely with the Length of Hull (LH) specified in ISO 8666, which applies to recreational boats up to 24 meters and excludes removable parts for standardized principal dimensions.^[34]

Applications and regulations

Docking and maneuvering

In port operations, the length overall (LOA) of a vessel is a critical parameter for determining berth length requirements, as it directly influences the space needed for safe mooring. Typically, berth designs incorporate a minimum clearance of 10% of the vessel's LOA to allow for proper alignment and securing, ensuring that the infrastructure can accommodate the ship's full extent without overhang risks.^[36] For larger vessels, such as those exceeding 370 meters in LOA, additional quay frontage from adjacent berths may be required to prevent operational disruptions.^[37] LOA also dictates the dimensions of turning basins and locks essential for maneuvering into position. Turning basins are sized to provide a minimum diameter of at least 1.2 times the design ship's LOA, enabling safe rotation without grounding or collision.^[38] Similarly, lock chambers are engineered based on maximum LOA to fit the vessel's hull, with the overall length serving as the primary constraint for transit through inland waterways or canals.^[39] During maneuvering, the LOA affects the location of the ship's pivot point, which typically lies approximately 25-33% of the LOA forward from the bow when the vessel is underway. This positioning influences the ship's response to external forces, such as those from tugs or bow thrusters, requiring pilots to adjust tactics for effective turning and approach.^[40] Regulations emphasize safety margins beyond the LOA to account for fenders and mooring lines, often mandating 10-20% additional space along the berth to absorb impacts and secure lines without straining infrastructure.^[36] For instance, supertankers with LOA over 300 meters, such as ultra large crude carriers (ULCCs) reaching up to 380 meters, necessitate specialized terminals like those in the Port of Rotterdam, which feature extended berths and enhanced fender systems to handle their scale.^[41] Longer LOA vessels face heightened environmental challenges during berthing, as their increased windage area—proportional to the ship's length and height—amplifies vulnerability to crosswinds and currents, potentially causing drift or misalignment.^[42] This susceptibility demands precise coordination with tugs and consideration of load line-related draft for stability in variable conditions.^[42]

Classification and load lines

Classification societies, such as Lloyd's Register, incorporate length overall (LOA) into their classification processes to determine the applicability of rules and assign appropriate class notations. For instance, the society's rules for special service craft, including yachts, apply to vessels with an LOA of 24 meters or greater, influencing notations related to design, construction, and operational standards.^[43] LOA also factors into survey intervals, as larger vessels based on this dimension typically require more frequent or comprehensive inspections to maintain class certification.^[43] Under the International Convention on Load Lines 1966 and the Safety of Life at Sea (SOLAS) Convention, vessels with an LOA exceeding 24 meters—constructed on or after 21 July 1968—are subject to mandatory load line requirements for international voyages.^[44] These conventions mandate the assignment and marking of load lines to ensure adequate freeboard, with freeboard calculations primarily based on length between perpendiculars (LBP) but cross-verified against LOA to confirm overall dimensional compliance and prevent overloading.^[45] SOLAS Chapter II-1 integrates these load line provisions to align with broader stability and subdivision standards.^[45] In tonnage measurement, LOA contributes to the gross tonnage (GT) formula under the 1969 International Convention on Tonnage Measurement of Ships, where GT = K × V and V represents the total moulded volume of enclosed spaces derived from the vessel's principal moulded dimensions, including those informed by LOA.^[46] This ensures that LOA-related overall dimensions accurately reflect the ship's volumetric capacity for regulatory purposes like port dues and capacity certification.^[46] Regional regulations further emphasize LOA in vessel certification. The U.S. Coast Guard employs LOA in stability assessments for small passenger vessels under 46 CFR Subchapter T, such as in simplified stability proof tests that use LOA to evaluate trim, heel, and operational safety for vessels under 100 gross tons. In the European Union, Directive 2013/53/EU on recreational craft ties LOA—measured as hull length—to CE marking categories (A through D), applying to craft between 2.5 and 24 meters and determining stability, buoyancy, and seaworthiness requirements based on length-specific criteria.^[47] Post-1980s amendments to the International Convention for the Prevention of Pollution from Ships (MARPOL) Annex I have extended mandatory protections to tankers of 5,000 deadweight tons (DWT) and above, through requirements for double hull construction and phase-out schedules for single-hull designs based on age and DWT.^[48]

Historical development

Early measurements

The measurement of ship lengths in ancient times relied on rudimentary units and approximations, often tied to human-scale references or functional elements rather than precise engineering. In ancient Egypt, vessels were commonly assessed using the cubit, a standard unit approximately 52.3 cm long derived from forearm measurements, with larger ships described in texts as spanning 120 cubits (about 62.8 meters) in length.^[49] Similarly, Greek warships like the trireme were estimated by oar counts, with 170 oars indicating a hull length of roughly 35-37 meters, as inferred from naval inventories and archaeological evidence of slips.^[50]^[51] These methods provided rough approximations of overall length for construction and operation but lacked uniformity, serving primarily for trade, warfare, and ritual purposes. During the age of sail in the 17th and 18th centuries, European naval architecture shifted toward more structured metrics centered on the keel, which formed the ship's structural backbone. Keel length was typically measured from the rabbet line at the stem to the after rabbet of the sternpost, excluding ornamental extensions like the beakhead or taffrail, and served as a foundational dimension for tonnage calculations and hull design.^[52]^[53] This approach, documented in treatises such as those by W. Sutherland in 1717, emphasized proportional relationships between keel length and beam for stability, acting as a precursor to later perpendicular-based measurements while prioritizing the submerged hull over total extent.^[54] Such practices facilitated consistent scaling for merchant and war vessels but often understated overall length due to varying bow and stern configurations. In the 19th century, the advent of ironclads prompted the British Royal Navy to adopt length overall (LOA) as a key metric to account for extended hull forms and propulsion changes, marking a departure from keel-centric traditions. For instance, HMS Warrior, launched in 1860 as the Navy's first seagoing ironclad, was recorded with an LOA of 128 meters, reflecting the full span from stem to sternpost to better evaluate speed and armament placement.^[55]^[56] This shift aligned with broader naval documentation emphasizing extreme dimensions for comparative analysis amid rapid technological evolution. Concurrently, the Merchant Shipping Act of 1876, driven by Samuel Plimsoll's advocacy, formalized load lines linked to vessel dimensions including length, mandating marks at midship to ensure freeboard of at least 3 inches per foot of hold depth, thereby tying safe loading directly to overall size assessments.^[57]^[58] Plimsoll, a Member of Parliament and author of Our Seamen (1873), highlighted overloading risks through public campaigns and parliamentary testimony, exposing "coffin ships" where excessive cargo compromised stability based on inaccurate length and capacity evaluations.^[59]^[60] These early methods, however, bred inconsistencies that fueled disputes in international trade and insurance. Tonnage formulas varying by port—such as London's rule of (length × breadth × depth)/94—often incentivized owners to under-report dimensions to minimize tonnage-based fees and taxes, leading to legal challenges and higher premiums when discrepancies emerged during claims.^[61]^[62] For example, 18th- and 19th-century records show systematic variations across British and colonial sources, exacerbating fraud in marine policies where underwriters contested vessel values tied to inaccurate dimensions.^[63] Plimsoll's reforms addressed these by standardizing load assessments, paving the way for later international agreements.

Modern standardization

The International Maritime Organization (IMO) has established key conventions for standardizing length overall (LOA) measurements in modern maritime regulations, particularly for larger vessels. The International Convention for the Safety of Life at Sea (SOLAS), 1974, specifies minimum standards for ship construction and operation, incorporating length definitions that align with LOA for vessels exceeding 24 meters in length to ensure safety and stability compliance. Complementing this, the 1988 Protocol to the International Convention on Load Lines, 1966, refines measurement protocols by defining the regulatory length as 96 percent of the total length on the waterline at 85 percent of the least molded depth from the keel, providing a standardized basis derived from LOA for load line assignments on ships over 24 meters. These conventions integrate with the International Towing Tank Conference (ITTC) recommended procedures for hydrodynamic model testing, where LOA serves as a reference dimension in scaling models for performance predictions in seakeeping and maneuvering assessments.^[64]^[45]^[65] For smaller vessels under 24 meters, the International Organization for Standardization (ISO) standard 8666:2020 outlines principal data for small craft, explicitly defining LOA as the maximum horizontal length of the hull excluding appendages like pulpits, bowsprits, and swim platforms, while distinguishing it from length of hull (LOH) and length on deck (LOD) to support design, certification, and performance evaluations in recreational and light commercial applications.^[66] In the United States, Title 46 of the Code of Federal Regulations (46 CFR) adopts LOA as the horizontal distance between the foremost and aftermost points on the hull for vessel documentation, stability calculations, and inspected vessel requirements. The U.S. Coast Guard further adapts this for load line purposes by using 96 percent of the waterline length at 85 percent molded depth, ensuring alignment with international norms while accounting for operational safety in domestic and foreign voyages.^[67] Technological advancements since the 1990s have enhanced the precision of LOA verification in shipyards and surveys. The adoption of Global Positioning System (GPS) technology, combined with early 3D laser scanning systems developed in the mid-1990s, allows for non-contact, high-accuracy measurements of vessel dimensions during construction and retrofitting, reducing errors associated with manual taping and improving compliance with regulatory standards. To promote global consistency for international trade, the United Nations Conference on Trade and Development (UNCTAD) and IMO issue guidelines through annual Reviews of Maritime Transport, emphasizing harmonized length measurements; updates in the 2020s, including the 2021 regulatory scoping exercise for Maritime Autonomous Surface Ships (MASS), incorporate LOA considerations to adapt conventions for emerging autonomous technologies without altering core definitions.^[68]^[69]^[70]

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The aftermost piece of a rudder. Back rabbet (Fig. G-4c). The upper surface of a keel rabbet or the nesting surface of ...
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17th Century Ship Design and the Sovereign of the Seas (1637)
Jun 20, 2024 · The Treatise tells us that the length of the keel should be 25/9 of the breadth, so it would have the Sovereign's keel be approximately 128 feet ...Samuel 1650 – a Dutch mid-17th century trader | Page 3English ship design ca. 1600 – Mediterranean legacy | Page 2More results from shipsofscale.com
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Royal Navy - Ironclads 1861 - Naval-History.net
Sep 16, 2015 · In June 1861, the Navy List records the names of four frigates then fitting out for service which became the first sea-going ironclad ...
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Warrior class Ironclad (1860) - Naval Encyclopedia
Oct 19, 2024 · HMS Warrior and Black Prince were the world's first all-iron built capital ships, and sea-going broadside Ironclad built 1859-62.<|separator|>
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https://dieselship.com/marine-technical-articles/ship-safety-and-naval-architecture/load-line-regulations/
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The Plimsoll Line | Learn & Explore - Heritage & Education Centre
In 1876 the Merchant Shipping Act made load lines compulsory on all British vessels and on foreign vessels using British ports. However, the act was flawed ...Missing: length sources
[59]
Samuel Plimsoll and ship safety | Royal Museums Greenwich
The Merchant Shipping Act of 1876 made load lines compulsory, but it wasn't until 1894 that the position of the line was fixed by law. In 1906, foreign ships ...
[60]
Samuel Plimsoll's Merchant Shipping Act (1876) - The Victorian Web
Aug 13, 2002 · The Act required a series of 'lines' to be painted on the ship to show the maximum loading point. Unfortunately, the Act allowed the shipowners ...Missing: length sources
[61]
Rules for the Calculation of Tonnage and Their History | Proceedings
It is termed “ A rule to know the burden of a ship: length of keel, 120 feet, breadth in beam, 40 feet; depths in hold, 20 feet; 40x20x 120=96,000 and 96,000÷ ...Missing: 18th | Show results with:18th
[62]
Tons and Tonnages: Ship Measurement and Shipping Statistics, c ...
Technical loopholes in tonnage measurement have led to significant discrepancies in reported shipping capacities. ... The Troubled History of the Moorsom ...Missing: insurance | Show results with:insurance
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Tons, Tonneaux, Toneladas, Lasts - OpenEdition Journals
Eighteenth-century ship tonnages were imprecise and unstandardized. Comparisons across British sources show considerable variation, both systematic and ...Missing: inconsistencies | Show results with:inconsistencies
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https://www.imo.org/en/About/Conventions/Pages/International-Convention-for-the-Safety-of-Life-at-Sea-%28SOLAS%29%2C-1974.aspx
[65]
https://ittc.info/media/11982/75-04-04-01.pdf
[66]
46 CFR 170.055 -- Definitions concerning a vessel.
### Definition of Length Overall (LOA)
[67]
The Early Days of 3D Scanning, Part 3: Cyra Unleashed - xyHt
Aug 6, 2020 · Geoff Jacobs' oral history of the development of surveyors' 3D scanning technologies, covering Cyra between 1996 and 1997: a crucial place ...
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Review of Maritime Transport 2020 - UNCTAD
The Review of Maritime Transport 2020 provides an update on the latest trends in maritime trade, supply, markets, key performance indicators, and legal and ...
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Autonomous shipping - International Maritime Organization
In 2021 IMO conducted a regulatory scoping exercise on Maritime Autonomous Surface Ships that was designed to assess existing IMO instruments to see how they ...