A pontoon bridge (or ponton bridge), also known as a floating bridge , uses floats or shallow- draft boats to support a continuous deck for pedestrian and vehicle travel. The buoyancy of the supports limits the maximum load that they can carry.
87-616: (Redirected from Floating Bridge ) Floating bridge may refer to: Bridges that float on water [ edit ] Pontoon bridge Submerged floating tunnel Vlotbrug , a design of retractable pontoon bridge used in the Dutch province of North Holland Ferries [ edit ] A cable ferry , especially one designed by British civil engineer James Meadows Rendel Cowes Floating Bridge Torpoint Ferry Woolston Floating Bridge Other uses [ edit ] In music,
174-409: A fluid ), Archimedes' principle may be stated thus in terms of forces: Any object, wholly or partially immersed in a fluid, is buoyed up by a force equal to the weight of the fluid displaced by the object —with the clarifications that for a sunken object the volume of displaced fluid is the volume of the object, and for a floating object on a liquid, the weight of the displaced liquid is the weight of
261-476: A volume integral with the help of the Gauss theorem : where V is the measure of the volume in contact with the fluid, that is the volume of the submerged part of the body, since the fluid does not exert force on the part of the body which is outside of it. The magnitude of buoyancy force may be appreciated a bit more from the following argument. Consider any object of arbitrary shape and volume V surrounded by
348-703: A 100-meter-long pontoon bridge during the Battle of Berezina to allow the Grande Armée to escape to safety. During the Peninsular War the British army transported "tin pontoons" that were lightweight and could be quickly turned into a floating bridge. Lt Col Charles Pasley of the Royal School of Military Engineering at Chatham England developed a new form of pontoon which was adopted in 1817 by
435-521: A deck built of balk, which were square, hollow aluminum beams. An Engineer Light Ponton Company consisted of three platoons: two bridge platoons, each equipped with one unit of M3 pneumatic bridge, and a lightly equipped platoon which had one unit of footbridge and equipment for ferrying. The bridge platoons were equipped with the M3 pneumatic bridge, which was constructed of heavy inflatable pneumatic floats and could handle up to 10 short tons (9.1 t); this
522-504: A hazardous manner from the swell, from a storm, a flood or a fast moving load. Ice or floating objects ( flotsam ) can accumulate on the pontoons, increasing the drag from river current and potentially damaging the bridge. See below for floating pontoon failures and disasters. In ancient China , the Zhou dynasty Chinese text of the Shi Jing ( Book of Odes ) records that King Wen of Zhou
609-616: A horse across the Bay of Baiae". Caligula's construction of the bridge cost a massive sum of money and added to discontent with his rule. During the Middle Ages, pontoons were used alongside regular boats to span rivers during campaigns, or to link communities which lacked resources to build permanent bridges. The Hun army of Attila built a bridge across the Nišava during the siege of Naissus in 442 to bring heavy siege towers within range of
696-486: A large floating pontoon bridge at Lanzhou (constructed earlier in 1372) as he crossed the Yellow River on this day. He wrote that it was: ... composed of twenty three boats, of great excellence and strength attached together by a long chain of iron as thick as a man's thigh, and this was moored on each side to an iron post as thick as a man's waist extending a distance of ten cubits on the land and planted firmly in
783-833: A large pontoon bridge built across the Yangtze River in 974 in order to secure supply lines during the Song dynasty 's conquest of the Southern Tang . On October 22, 1420, Ghiyasu'd-Din Naqqah , the official diarist of the embassy sent by the Timurid ruler of Persia , Mirza Shahrukh (r. 1404–1447), to the Ming dynasty of China during the reign of the Yongle Emperor (r. 1402–1424), recorded his sight and travel over
870-449: A liquid. The force the liquid exerts on an object within the liquid is equal to the weight of the liquid with a volume equal to that of the object. This force is applied in a direction opposite to gravitational force, that is of magnitude: where ρ f is the density of the fluid, V disp is the volume of the displaced body of liquid, and g is the gravitational acceleration at the location in question. If this volume of liquid
957-588: A long pontoon bridge built 1943 in Hobart , Tasmania was only replaced after 21 years. The fourth Galata Bridge that spans the Golden Horn in Istanbul , Turkey was built in 1912 and operated for 80 years. Provisional and lightweight pontoon bridges are easily damaged. The bridge can be dislodged or inundated when the load limit of the bridge is exceeded. The bridge can be induced to sway or oscillate in
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#17327874908151044-452: A measurement in air because the error is usually insignificant (typically less than 0.1% except for objects of very low average density such as a balloon or light foam). A simplified explanation for the integration of the pressure over the contact area may be stated as follows: Consider a cube immersed in a fluid with the upper surface horizontal. The sides are identical in area, and have the same depth distribution, therefore they also have
1131-528: A pontoon bridge across the Arno during the siege of Pisa in 1406. The English army of John Talbot, 1st Earl of Shrewsbury crossed the Oise across a pontoon bridge of portable leather vessels in 1441. Ottoman engineers built a pontoon bridge across the Golden Horn during the siege of Constantinople (1453) , using over a thousand barrels. The bridge was strong enough to support carts. The Ottoman Army constructed
1218-638: A pontoon bridge at the Battle of Mohi in 1241 to outflank the Hungarian army. The French army of King Louis IX of France crossed the Charente on multiple pontoon bridges during the Battle of Taillebourg on 21 July 1242. Louis IX had a pontoon bridge built across the Nile to provide unimpeded access to troops and supplies in early March 1250 during the Seventh Crusade . A Florentine army erected
1305-582: A pontoon bridge during the siege of Rhodes (1480) . Venetian pioneers built a floating bridge across the Adige at the Battle of Calliano (1487) . Before the Battle of Worcester , the final battle of the English Civil War , on 30 August 1651, Oliver Cromwell delayed the start of the battle to give time for two pontoon bridges to be constructed, one over the River Severn and the other over
1392-563: A pontoon bridge to cross the Po river prior to the Battle of Montebello (1800) . Napoleon 's Grande Armée made extensive use of pontoon bridges at the battles of Aspern-Essling and Wagram under the supervision of General Henri Gatien Bertrand . General Jean Baptiste Eblé 's engineers erected four pontoon bridges in a single night across the Dnieper during the Battle of Smolensk (1812) . Working in cold water, Eblé's Dutch engineers constructed
1479-463: A series of cross planks called chesses to form the road surface, and the chesses were secured with side guard rails . A floating bridge can be built in a series of sections, starting from an anchored point on the shore. Modern pontoon bridges usually use pre-fabricated floating structures. Most pontoon bridges are designed for temporary use, but bridges across water bodies with a constant water level can remain in place much longer. Hobart Bridge ,
1566-403: A situation of fluid statics such that Archimedes principle is applicable, and is thus the sum of the buoyancy force and the object's weight If the buoyancy of an (unrestrained and unpowered) object exceeds its weight, it tends to rise. An object whose weight exceeds its buoyancy tends to sink. Calculation of the upwards force on a submerged object during its accelerating period cannot be done by
1653-427: A type of bridge (instrument) Fender floating bridge Singaporean bridge , a card game also known as floating bridge See also [ edit ] List of pontoon bridges Topics referred to by the same term [REDACTED] This disambiguation page lists articles associated with the title Floating bridge . If an internal link led you here, you may wish to change the link to point directly to
1740-402: Is a net upward force exerted by a fluid that opposes the weight of a partially or fully immersed object. In a column of fluid, pressure increases with depth as a result of the weight of the overlying fluid. Thus, the pressure at the bottom of a column of fluid is greater than at the top of the column. Similarly, the pressure at the bottom of an object submerged in a fluid is greater than at
1827-405: Is also known as upthrust. Suppose a rock's weight is measured as 10 newtons when suspended by a string in a vacuum with gravity acting upon it. Suppose that when the rock is lowered into water, it displaces water of weight 3 newtons. The force it then exerts on the string from which it hangs would be 10 newtons minus the 3 newtons of buoyancy force: 10 − 3 = 7 newtons. Buoyancy reduces
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#17327874908151914-525: Is an apparent force as a function of inertia. Buoyancy can exist without gravity in the presence of an inertial reference frame, but without an apparent "downward" direction of gravity or other source of acceleration, buoyancy does not exist. The center of buoyancy of an object is the center of gravity of the displaced volume of fluid. Archimedes' principle is named after Archimedes of Syracuse , who first discovered this law in 212 BC. For objects, floating and sunken, and in gases as well as liquids (i.e.
2001-416: Is at constant depth, so the pressure is constant. Therefore, the integral of the pressure over the area of the horizontal bottom surface of the cube is the hydrostatic pressure at that depth multiplied by the area of the bottom surface. Similarly, the downward force on the cube is the pressure on the top surface integrated over its area. The surface is at constant depth, so the pressure is constant. Therefore,
2088-467: Is directly proportional to the volume of the displaced fluid (if the surrounding fluid is of uniform density). In simple terms, the principle states that the buoyancy force on an object is equal to the weight of the fluid displaced by the object, or the density of the fluid multiplied by the submerged volume times the gravitational acceleration, g. Thus, among completely submerged objects with equal masses, objects with greater volume have greater buoyancy. This
2175-462: Is how apparent weight is defined. If the object would otherwise float, the tension to restrain it fully submerged is: When a sinking object settles on the solid floor, it experiences a normal force of: Another possible formula for calculating buoyancy of an object is by finding the apparent weight of that particular object in the air (calculated in Newtons), and apparent weight of that object in
2262-408: Is not considered economically feasible to suspend a bridge from anchored piers . Such bridges can require a section that is elevated or can be raised or removed to allow waterborne traffic to pass. Pontoon bridges have been in use since ancient times and have been used to great advantage in many battles throughout history, such as the Battle of Garigliano , the Battle of Oudenarde , the crossing of
2349-475: Is replaced by a solid body of exactly the same shape, the force the liquid exerts on it must be exactly the same as above. In other words, the "buoyancy force" on a submerged body is directed in the opposite direction to gravity and is equal in magnitude to Though the above derivation of Archimedes principle is correct, a recent paper by the Brazilian physicist Fabio M. S. Lima brings a more general approach for
2436-401: Is the case if the object is restrained or if the object sinks to the solid floor. An object which tends to float requires a tension restraint force T in order to remain fully submerged. An object which tends to sink will eventually have a normal force of constraint N exerted upon it by the solid floor. The constraint force can be tension in a spring scale measuring its weight in the fluid, and
2523-425: Is the mass density of the fluid. Taking the pressure as zero at the surface, where z is zero, the constant will be zero, so the pressure inside the fluid, when it is subject to gravity, is So pressure increases with depth below the surface of a liquid, as z denotes the distance from the surface of the liquid into it. Any object with a non-zero vertical depth will have different pressures on its top and bottom, with
2610-460: The divisional , corps , or army level. American engineers built three types of floating bridges: M1938 infantry footbridges, M1938 ponton bridges, and M1940 treadway bridges, with numerous subvariants of each. These were designed to carry troops and vehicles of varying weight, using either an inflatable pneumatic ponton or a solid aluminum-alloy ponton bridge. Both types of bridges were supported by pontons (known today as "pontoons") fitted with
2697-498: The American Civil War various forms of pontoon bridges were tried and discarded. Wooden pontoons and India rubber bag pontoons shaped like a torpedo proved impractical until the development of cotton-canvas covered pontoons, which required more maintenance but were lightweight and easier to work with and transport. From 1864 a lightweight design known as Cumberland Pontoons , a folding boat system, were widely used during
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2784-588: The Atlanta Campaign to transport soldiers and artillery across rivers in the South . In 1872 at a military review before Queen Victoria , a pontoon bridge was thrown across the River Thames at Windsor, Berkshire , where the river was 250 feet (76 m) wide. The bridge, comprising 15 pontoons held by 14 anchors, was completed in 22 minutes and then used to move five battalions of troops across
2871-661: The European Theater of Operations . The United States was the principal user, with Britain next. In the United States, combat engineers were responsible for bridge deployment and construction. These were formed principally into Engineer Combat Battalions , which had a wide range of duties beyond bridging, and specialized units, including Light Ponton Bridge Companies , Heavy Ponton Bridge Battalions , and Engineer Treadway Bridge Companies ; any of these could be organically attached to infantry units or directly at
2958-614: The River Teme , close to their confluence. This allowed Cromwell to move his troops West of the Severn during the action on 3 September 1651 and was crucial to the victory by his New Model Army . The Spanish Army constructed a pontoon bridge at the Battle of Río Bueno in 1654. However, as the bridge broke apart it all ended in a sound defeat of the Spanish by local Mapuche-Huilliche forces. French general Jean Lannes 's troops built
3045-642: The Sava during the siege of Sirmium in 580 to completely surround the city with their troops and siege works. Emperor Heraclius crossed the Bosporus on horseback on a large pontoon bridge in 638. The army of the Umayyad Caliphate built a pontoon bridge over the Bosporus in 717 during the siege of Constantinople (717–718) . The Carolingian army of Charlemagne constructed a portable pontoon bridge of anchored boats bound together and used it to cross
3132-817: The Seine to seize Les Andelys from the English at the siege of Château Gaillard in 1203. During the Fifth Crusade , the Crusaders built two pontoon bridges across the Nile at the siege of Damietta (1218–1219) , including one supported by 38 boats. On 27 May 1234, Crusader troops crossed the river Ochtum in Germany on a pontoon bridge during the fight against the Stedingers . Imperial Mongol troops constructed
3219-507: The 1890s. It continued to be spelled in that fashion through World War II, when temporary floating bridges were used extensively throughout the European theatre . U.S. combat engineers commonly pronounced the word "ponton" rather than "pontoon" and U.S. military manuals spelled it using a single 'o'. The U.S. military differentiated between the bridge itself ("ponton") and the floats used to provide buoyancy ("pontoon"). The original word
3306-463: The Archimedes principle alone; it is necessary to consider dynamics of an object involving buoyancy. Once it fully sinks to the floor of the fluid or rises to the surface and settles, Archimedes principle can be applied alone. For a floating object, only the submerged volume displaces water. For a sunken object, the entire volume displaces water, and there will be an additional force of reaction from
3393-482: The British Army. Each pontoon was split into two halves, and the two pointed ends could be connected together in locations with tidal flow. Each half was enclosed, reducing the risk of swamping, and the sections bore multiple lashing points. The "Palsey pontoon" lasted until 1836 when it was replaced by the "Blanshard pontoon" which comprised tin cylinders 3 feet wide and 22 feet long, placed 11 feet apart, making
3480-788: The Danube during campaigns against the Avar Khaganate in the 790s. Charlemagne's army built two fortified pontoon bridges across the Elbe in 789 during a campaign against the Slavic Veleti . The German army of Otto the Great employed three pontoon bridges, made from pre-fabricated materials, to rapidly cross the Recknitz river at the Battle on the Raxa in 955 and win decisively against
3567-730: The Greek Mandrocles of Samos once engineered a 2-kilometre (1.2 mi) pontoon bridge that stretched across the Bosporus , linking Asia to Europe, so that Darius could pursue the fleeing Scythians as well as move his army into position in the Balkans to overwhelm Macedon . Other spectacular pontoon bridges were Xerxes' Pontoon Bridges across the Hellespont by Xerxes I in 480 BC to transport his huge army into Europe: and meanwhile other chief-constructors proceeded to make
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3654-665: The Rhine during World War II , the Yom Kippur War , Operation Badr , the Iran–Iraq War 's Operation Dawn 8 , and most recently, in the 2022 Russian invasion of Ukraine , after crossings over the Dnipro River had been destroyed. A pontoon bridge is a collection of specialized, shallow draft boats or floats , connected together to cross a river or canal, with a track or deck attached on top. The water buoyancy supports
3741-684: The Slavic Obotrites . Tenth-Century German Ottonian capitularies demanded that royal fiscal estates maintain watertight, river-fordable wagons for purposes of war. The Danish Army of Cnut the Great completed a pontoon bridge across the Helge River during the Battle of Helgeå in 1026. Crusader forces constructed a pontoon bridge across the Orontes to expedite resupply during the siege of Antioch in December 1097. According to
3828-580: The United States used cylinders split into three. In 1862 the Union forces commanded by Major General Ambrose Burnside were stuck on the wrong side of the Rappahannock River at the Battle of Fredericksburg for lack of the arrival of the pontoon train, resulting in severe losses. The report of this disaster resulted in Britain forming and training a Pontoon Troop of Engineers. During
3915-653: The Zhou people invented it and used it whenever they had occasion to do so, but the Qin people, to whom they handed it down, were the first to fasten it securely together (for permanent use). During the Eastern Han dynasty (25–220 AD), the Chinese created a very large pontoon bridge that spanned the width of the Yellow River . There was also the rebellion of Gongsun Shu in 33 AD, where a large pontoon bridge with fortified posts
4002-406: The apparent weight of objects that have sunk completely to the sea floor. It is generally easier to lift an object up through the water than it is to pull it out of the water. Assuming Archimedes' principle to be reformulated as follows, then inserted into the quotient of weights, which has been expanded by the mutual volume yields the formula below. The density of the immersed object relative to
4089-484: The armored division. Stream-crossing equipment included utility powerboats, pneumatic floats, and two units of steel treadway bridge equipment, each of which allowed the engineers to build a floating bridge about 540 feet (160 m) in length. The United States Army Corps of Engineers designed a self-contained bridge transportation and erection system. The Brockway model B666 6 short tons (5.4 t) 6x6 truck chassis (also built under license by Corbitt and White )
4176-518: The balloon will drift towards the inside of the curve. The equation to calculate the pressure inside a fluid in equilibrium is: where f is the force density exerted by some outer field on the fluid, and σ is the Cauchy stress tensor . In this case the stress tensor is proportional to the identity tensor: Here δ ij is the Kronecker delta . Using this the above equation becomes: Assuming
4263-489: The boats, limiting the maximum load to the total and point buoyancy of the pontoons or boats. The supporting boats or floats can be open or closed, temporary or permanent in installation, and made of rubber, metal, wood, or concrete. The decking may be temporary or permanent, and constructed out of wood, modular metal, or asphalt or concrete over a metal frame. The spelling "ponton" in English dates from at least 1870. The use continued in references found in U.S. patents during
4350-449: The boats, singing as they walked, to give the armada a spectacular farewell. The late Roman writer Vegetius , in his work De Re Militari , wrote: But the most commodious invention is that of the small boats hollowed out of one piece of timber and very light both by their make and the quality of the wood. The army always has a number of these boats upon carriages, together with a sufficient quantity of planks and iron nails. Thus with
4437-411: The bridge they laid them above the stretched ropes, and having set them thus in order they again fastened them above. When this was done, they carried on brushwood, and having set the brushwood also in place, they carried on to it earth; and when they had stamped down the earth firmly, they built a barrier along on each side, so that the baggage-animals and horses might not be frightened by looking out over
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#17327874908154524-795: The bridge to be weighted down more heavily than the other parts. The roadway across the pontoons should be relatively light, so as not to limit the carrying capacity of the pontoons. The connection of the bridge to shore requires the design of approaches that are not too steep, protect the bank from erosion and provide for movements of the bridge during (tidal) changes of the water level. Floating bridges were historically constructed using wood. Pontoons were formed by simply lashing several barrels together, by rafts of timbers, or by using boats. Each bridge section consisted of one or more pontoons, which were maneuvered into position and then anchored underwater or on land. The pontoons were linked together using wooden stringers called balks . The balks were covered by
4611-608: The bridges; and thus they made them: They put together fifty-oared galleys and triremes, three hundred and sixty to be under the bridge towards the Euxine Sea, and three hundred and fourteen to be under the other, the vessels lying in the direction of the stream of the Hellespont (though crosswise in respect to the Pontus), to support the tension of the ropes. They placed them together thus, and let down very large anchors, those on
4698-399: The car's acceleration (i.e., towards the rear). The balloon is also pulled this way. However, because the balloon is buoyant relative to the air, it ends up being pushed "out of the way", and will actually drift in the same direction as the car's acceleration (i.e., forward). If the car slows down, the same balloon will begin to drift backward. For the same reason, as the car goes round a curve,
4785-581: The chronicles, the earliest floating bridge across the Dnieper was built in 1115. It was located near Vyshhorod , Kiev . Bohemian troops under the command of Frederick I, Holy Roman Emperor crossed the Adige in 1157 on a pontoon bridge built in advance by the people of Verona on orders of the German Emperor. The French Royal Army of King Philip II of France constructed a pontoon bridge across
4872-509: The city. Sassanid forces crossed the Euphrates on a quickly built pontoon bridge during the siege of Kallinikos in 542. The Ostrogothic Kingdom constructed a fortified bridge across the Tiber during the siege of Rome in 545 to block Byzantine general Belisarius ' relief flotillas to the city. The Avar Khaganate forced Syriac-Roman engineers to construct two pontoon bridges across
4959-418: The density of the fluid can easily be calculated without measuring any volumes: (This formula is used for example in describing the measuring principle of a dasymeter and of hydrostatic weighing .) Example: If you drop wood into water, buoyancy will keep it afloat. Example: A helium balloon in a moving car. During a period of increasing speed, the air mass inside the car moves in the direction opposite to
5046-401: The evaluation of the buoyant force exerted by any fluid (even non-homogeneous) on a body with arbitrary shape. Interestingly, this method leads to the prediction that the buoyant force exerted on a rectangular block touching the bottom of a container points downward! Indeed, this downward buoyant force has been confirmed experimentally. The net force on the object must be zero if it is to be
5133-686: The first secure and permanent ones (and linked with iron chains) in China came first during the Qin dynasty (221–207 BC). The later Song dynasty (960–1279 AD) Chinese statesman Cao Cheng once wrote of early pontoon bridges in China (spelling of Chinese in Wade-Giles format): The Chhun Chhiu Hou Chuan says that in the 58th year of the Zhou King Nan (257 BC), there was invented in the Qin State
5220-461: The floating bridge (fou chhiao) with which to cross rivers. But the Ta Ming ode in the Shih Ching (Book of Odes) says (of King Wen) that he 'joined boats and made of them a bridge' over the River Wei . Sun Yen comments that this shows that the boats were arranged in a row, like the beams (of a house) with boards laid (transversely) across them, which is just the same as the pontoon bridge of today. Tu Yu also thought this. ... Cheng Khang Chheng says that
5307-441: The fluid in which it is submerged tends to sink. If the object is less dense than the liquid, the force can keep the object afloat. This can occur only in a non-inertial reference frame , which either has a gravitational field or is accelerating due to a force other than gravity defining a "downward" direction. Buoyancy also applies to fluid mixtures, and is the most common driving force of convection currents. In these cases,
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#17327874908155394-433: The ground, the boats being fastened to this chain by means of big hooks. There were placed big wooden planks over the boats so firmly and evenly that all the animals were made to pass over it without difficulty. The Greek writer Herodotus in his Histories , records several pontoon bridges. Emperor Caligula built a 2-mile (3.2 km) bridge at Baiae in 37 AD. For Emperor Darius I The Great of Persia (522–485 BC),
5481-417: The help of cables to lash the boats together, a bridge is instantly constructed, which for the time has the solidity of a bridge of stone. The emperor Caligula is said to have ridden a horse across a pontoon bridge stretching two miles between Baiae and Puteoli while wearing the armour of Alexander the Great to mock a soothsayer who had claimed he had "no more chance of becoming emperor than of riding
5568-577: The intended article. Retrieved from " https://en.wikipedia.org/w/index.php?title=Floating_bridge&oldid=1080351277 " Category : Disambiguation pages Hidden categories: Short description is different from Wikidata All article disambiguation pages All disambiguation pages Pontoon bridge Most pontoon bridges are temporary and used in wartime and civil emergencies. There are permanent pontoon bridges in civilian use that can carry highway traffic. Permanent floating bridges are useful for sheltered water crossings if it
5655-410: The mathematical modelling is altered to apply to continua , but the principles remain the same. Examples of buoyancy driven flows include the spontaneous separation of air and water or oil and water. Buoyancy is a function of the force of gravity or other source of acceleration on objects of different densities, and for that reason is considered an apparent force, in the same way that centrifugal force
5742-480: The narrower, lighter jeeps and trucks drove across the bridge with one wheel in the steel treadway and the other on the plywood. An Engineer Treadway Bridge Company consisted of company headquarters and two bridge platoons. It was an organic unit of the armored force, and normally was attached to an Armored Engineer Battalion. Each bridge platoon transported one unit of steel treadway bridge equipage for construction of ferries and bridges in river-crossing operations of
5829-406: The object. More tersely: buoyant force = weight of displaced fluid. Archimedes' principle does not consider the surface tension (capillarity) acting on the body, but this additional force modifies only the amount of fluid displaced and the spatial distribution of the displacement , so the principle that buoyancy = weight of displaced fluid remains valid. The weight of the displaced fluid
5916-467: The one side towards the Pontus because of the winds which blow from within outwards, and on the other side, towards the West and the Egean, because of the South-East and South Winds. They left also an opening for a passage through, so that any who wished might be able to sail into the Pontus with small vessels, and also from the Pontus outwards. Having thus done, they proceeded to stretch tight the ropes, straining them with wooden windlasses, not now appointing
6003-511: The original and cut it into two halves, was still in use with the British Army in 1924. The First World War saw developments on "trestles" to form the link between a river bank and the pontoon bridge. Some infantry bridges in WW1 used any material available, including petrol cans as flotation devices. The Kapok Assault Bridge for infantry was developed for the British Army, using kapok fibre -filled canvas float and timber foot walks. America created their own version. Folding Boat Equipment
6090-410: The outer force field is conservative, that is it can be written as the negative gradient of some scalar valued function: Then: Therefore, the shape of the open surface of a fluid equals the equipotential plane of the applied outer conservative force field. Let the z -axis point downward. In this case the field is gravity, so Φ = − ρ f gz where g is the gravitational acceleration, ρ f
6177-814: The pontoon very buoyant. The pontoon was tested with the Palsey pontoon on the Medway. An alternative proposed by Charles Pasley comprised two copper canoes, each 2 foot 8 inches wide and 22 foot long and coming in two sections which were fastened side by side to make a double canoe raft. Copper was used in preference to fast-corroding tin. Lashed at 10 foot centres, these were good for cavalry, infantry and light guns; lashed at 5 foot centres, heavy cannon could cross. The canoes could also be lashed together to form rafts. One cart pulled by two horse carried two half canoes and stores. A comparison of pontoons used by each nations army shows that almost all were open boats coming in one, two or even three pieces, mainly wood, some with canvas and rubber protection. Belgium used an iron boat;
6264-418: The pressure on the bottom being greater. This difference in pressure causes the upward buoyancy force. The buoyancy force exerted on a body can now be calculated easily, since the internal pressure of the fluid is known. The force exerted on the body can be calculated by integrating the stress tensor over the surface of the body which is in contact with the fluid: The surface integral can be transformed into
6351-502: The railroad was abandoned in 1961, when it was removed. The British Blanshard Pontoon stayed in British use until the late 1870s, when it was replaced by the " Blood Pontoon". The Blood Pontoon returned to the open boat system, which enabled use as boats when not needed as pontoons. Side carrying handles helped transportation. The new pontoon proved strong enough to support loaded elephants and siege guns as well as military traction engines . The British Blood Pontoon MkII, which took
6438-568: The river. It was removed in 34 minutes the next day. At Prairie du Chien, Wisconsin , the Pile-Pontoon Railroad Bridge was constructed in 1874 over the Mississippi River to carry a railroad track connecting that city with Marquette, Iowa . Because the river level could vary by as much as 22 feet, the track was laid on an adjustable platform above the pontoons. This unique structure remained in use until
6525-432: The same pressure distribution, and consequently the same total force resulting from hydrostatic pressure, exerted perpendicular to the plane of the surface of each side. There are two pairs of opposing sides, therefore the resultant horizontal forces balance in both orthogonal directions, and the resultant force is zero. The upward force on the cube is the pressure on the bottom surface integrated over its area. The surface
6612-611: The sea. According to John Hale's Lords of the Sea , to celebrate the onset of the Sicilian Expedition (415 - 413 B.C.), the Athenian general, Nicias , paid builders to engineer an extraordinary pontoon bridge composed of gilded and tapestried ships for a festival that drew Athenians and Ionians across the sea to the sanctuary of Apollo on Delos . On the occasion when Nicias was a sponsor, young Athenians paraded across
6699-471: The solid floor. In order for Archimedes' principle to be used alone, the object in question must be in equilibrium (the sum of the forces on the object must be zero), therefore; and therefore showing that the depth to which a floating object will sink, and the volume of fluid it will displace, is independent of the gravitational field regardless of geographic location. It can be the case that forces other than just buoyancy and gravity come into play. This
6786-418: The top of the object. The pressure difference results in a net upward force on the object. The magnitude of the force is proportional to the pressure difference, and (as explained by Archimedes' principle ) is equivalent to the weight of the fluid that would otherwise occupy the submerged volume of the object, i.e. the displaced fluid. For this reason, an object whose average density is greater than that of
6873-403: The two kinds of rope to be used apart from one another, but assigning to each bridge two ropes of white flax and four of the papyrus ropes. The thickness and beauty of make was the same for both, but the flaxen ropes were heavier in proportion, and of this rope a cubit weighed one talent. When the passage was bridged over, they sawed up logs of wood, and making them equal in length to the breadth of
6960-478: The water (in Newtons). To find the force of buoyancy acting on the object when in air, using this particular information, this formula applies: The final result would be measured in Newtons. Air's density is very small compared to most solids and liquids. For this reason, the weight of an object in air is approximately the same as its true weight in a vacuum. The buoyancy of air is neglected for most objects during
7047-426: Was an organic unit of army and higher echelons. The M1940 could carry up to 25 short tons (23 t). The M1 Treadway Bridge could support up to 20 short tons (18 t). The roadway, made of steel, could carry up to 50 short tons (45 t), while the center section made of 4 inches (100 mm) thick plywood could carry up to 30 short tons (27 t). The wider, heavier tanks used the outside steel treadway while
7134-680: Was constructed across the Yangtze River , eventually broken through with ramming ships by official Han troops under Commander Cen Peng. During the late Eastern Han into the Three Kingdoms period, during the Battle of Chibi in 208 AD, the Prime Minister Cao Cao once linked the majority of his fleet together with iron chains, which proved to be a fatal mistake once he was thwarted with a fire attack by Sun Quan 's fleet. The armies of Emperor Taizu of Song had
7221-505: Was derived from Old French ponton , from Latin ponto ("ferryboat"), from pons ("bridge"). When designing a pontoon bridge, the civil engineer must take into consideration Archimedes' principle : Each pontoon can support a load equal to the mass of the water that it displaces . This load includes the mass of the bridge and the pontoon itself. If the maximum load of a bridge section is exceeded, one or more pontoons become submerged. Flexible connections have to allow for one section of
7308-576: Was developed in 1928 and went through several versions until it was used in WW2 to complement the Bailey Pontoon . It had a continuous canvas hinge and could fold flat for storage and transportation. When assembled it could carry 15 men and with two boats and some additional toppings it could transport a 3-ton truck. Further upgrades during WW2 resulted in it moving to a Class 9 bridge. Pontoon bridges were used extensively during World War II, mainly in
7395-417: Was suitable for all normal infantry division loads without reinforcement, greater with. A Heavy Ponton Bridge Battalion was provided with equipage required to provide stream crossing for heavy military vehicles that could not be supported by a light ponton bridge. The Battalion had two lettered companies of two bridge platoons each. Each platoon was equipped with one unit of heavy ponton equipage. The battalion
7482-492: Was the first to create a pontoon bridge in the 11th century BC. However, the historian Joseph Needham has pointed out that in all likely scenarios, the temporary pontoon bridge was invented during the 9th or 8th century BC in China, as this part was perhaps a later addition to the book (considering how the book had been edited up until the Han dynasty , 202 BC – 220 AD). Although earlier temporary pontoon bridges had been made in China,
7569-482: Was used to transport both the bridge's steel and rubber components. A single Brockway truck could carry material for 30 feet (9.1 m) of bridge, including two pontons, two steel saddles that were attached to the pontons, and four treadway sections. Each treadway was 15 feet (4.6 m) long with high guardrails on either side of the 2 feet (0.61 m) wide track. Buoyancy Buoyancy ( / ˈ b ɔɪ ən s i , ˈ b uː j ən s i / ), or upthrust
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