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68-414: The Great Hypostyle Hall covers an area of 5,000 m (54,000 sq ft). The roof, now fallen, was supported by 134 columns in 16 rows; the two middle rows are higher than the others (being 10 metres (33 ft) in circumference and 24 metres (79 ft) high). The 134 papyrus columns represent the primeval papyrus swamp from which Atum , a self-created deity, arose from the waters of Nun at

136-450: A post . Supports with a rectangular or other non-round section are usually called piers . For the purpose of wind or earthquake engineering , columns may be designed to resist lateral forces. Other compression members are often termed "columns" because of the similar stress conditions. Columns are frequently used to support beams or arches on which the upper parts of walls or ceilings rest. In architecture, "column" refers to such

204-567: A volute , an ornament shaped like a scroll , at the four corners. The height-to-thickness ratio is around 9:1. Due to the more refined proportions and scroll capitals, the Ionic column is sometimes associated with academic buildings. Ionic style columns were used on the second level of the Colosseum. The Corinthian order is named for the Greek city-state of Corinth , to which it was connected in

272-428: A column is reached is called the critical or buckling load. The state of instability is reached when a slight increase of the column load causes uncontrollably growing lateral deflections leading to complete collapse. For an axially loaded straight column with any end support conditions, the equation of static equilibrium, in the form of a differential equation, can be solved for the deflected shape and critical load of

340-443: A combination of wood and metal such as a flitch beam . Beams primarily carry vertical gravitational forces , but they are also used to carry horizontal loads such as those due to earthquake or wind, or in tension to resist rafter thrust ( tie beam ) or compression ( collar beam ). The loads carried by a beam are transferred to columns , walls , or girders , then to adjacent structural compression members , and eventually to

408-475: A concrete foundation, a steel column must have a base plate to spread the load over a larger area, and thereby reduce the bearing pressure. The base plate is a thick, rectangular steel plate usually welded to the bottom end of the column. The Roman author Vitruvius , relying on the writings (now lost) of Greek authors, tells us that the ancient Greeks believed that their Doric order developed from techniques for building in wood. The earlier smoothed tree-trunk

476-467: A continuously recurring decoration of stipules. The Minoans used whole tree-trunks, usually turned upside down in order to prevent re-growth , stood on a base set in the stylobate (floor base) and topped by a simple round capital. These were then painted as in the most famous Minoan palace of Knossos . The Minoans employed columns to create large open-plan spaces, light-wells and as a focal point for religious rituals. These traditions were continued by

544-427: A cross section that lacks symmetry may suffer torsional buckling (sudden twisting) before, or in combination with, lateral buckling. The presence of the twisting deformations renders both theoretical analyses and practical designs rather complex. Eccentricity of the load, or imperfections such as initial crookedness, decreases column strength. If the axial load on the column is not concentric, that is, its line of action

612-698: A rare octagonal tomb. Chisholm, Hugh, ed. (1911). "Engaged Column". Encyclopædia Britannica. 9 (11th ed.). Cambridge University Press. pp. 404–405. Stierlin, Henri The Roman Empire: From the Etruscans to the Decline of the Roman Empire, TASCHEN, 2002 Alderman, Liz (7 July 2014). "Acropolis Maidens Glow Anew". The New York Times. Retrieved 9 July 2014. Stokstad, Marilyn; Cothren, Michael (2014). Art History (Volume 1 ed.). New Jersey: Pearson Education, Inc. p. 110. Beam (structure) A beam

680-451: A sharp point where the fillets are located on Ionic and Corinthian order columns. Most classical columns arise from a basis, or base, that rests on the stylobate , or foundation , except for those of the Doric order , which usually rest directly on the stylobate. The basis may consist of several elements, beginning with a wide, square slab known as a plinth . The simplest bases consist of

748-428: A single piece of stone. Monolithic columns are among the heaviest stones used in architecture. Other stone columns are created out of multiple sections of stone, mortared or dry-fit together. In many classical sites, sectioned columns were carved with a centre hole or depression so that they could be pegged together, using stone or metal pins. The design of most classical columns incorporates entasis (the inclusion of

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816-456: A single, prominent pillar or column, often made of stone. A number of world cultures incorporated pillars into tomb structures. In the ancient Greek colony of Lycia in Anatolia , one of these edifices is located at the tomb of Xanthos . In the town of Hannassa in southern Somalia , ruins of houses with archways and courtyards have also been found along with other pillar tombs, including

884-408: A slight outward curve in the sides) plus a reduction in diameter along the height of the column, so that the top is as little as 83% of the bottom diameter. This reduction mimics the parallax effects which the eye expects to see, and tends to make columns look taller and straighter than they are while entasis adds to that effect. There are flutes and fillets that run up the shaft of columns. The flute

952-452: A small scale, as they are easy to produce in wood by turning on a lathe (hence also the style's popularity for spindles on furniture and stairs). A Caryatid is a sculpted female figure serving as an architectural support taking the place of a column or a pillar supporting an entablature on her head. The Greek term karyatides literally means "maidens of Karyai ", an ancient town of Peloponnese . In architecture, an engaged column

1020-417: A structural element that also has certain proportional and decorative features. These beautiful columns are available in a broad selection of styles and designs in round tapered, round straight, or square shaft styles. A column might also be a decorative element not needed for structural purposes; many columns are engaged , that is to say form part of a wall. A long sequence of columns joined by an entablature

1088-628: Is a structural element that primarily resists loads applied laterally across the beam's axis (an element designed to carry a load pushing parallel to its axis would be a strut or column). Its mode of deflection is primarily by bending , as loads produce reaction forces at the beam's support points and internal bending moments , shear , stresses , strains , and deflections . Beams are characterized by their manner of support, profile (shape of cross-section), equilibrium conditions, length, and material. Beams are traditionally descriptions of building or civil engineering structural elements, where

1156-573: Is a box (a square shell); the most efficient shape for bending in any direction, however, is a cylindrical shell or tube. For unidirectional bending, the Ɪ-beam or wide flange beam is superior. Efficiency means that for the same cross sectional area (volume of beam per length) subjected to the same loading conditions, the beam deflects less. Other shapes, like L-beam (angles), C (channels) , T-beam and double-T or tubes, are also used in construction when there are special requirements. This system provides horizontal bracing for small trenches, ensuring

1224-481: Is a column embedded in a wall and partly projecting from the surface of the wall, sometimes defined as semi or three-quarter detached. Engaged columns are rarely found in classical Greek architecture, and then only in exceptional cases, but in Roman architecture they exist in abundance, most commonly embedded in the cella walls of pseudoperipteral buildings. Pillar tombs are monumental graves, which typically feature

1292-415: Is a structural element that transmits, through compression , the weight of the structure above to other structural elements below. In other words, a column is a compression member . The term column applies especially to a large round support (the shaft of the column) with a capital and a base or pedestal , which is made of stone, or appearing to be so. A small wooden or metal support is typically called

1360-486: Is also a simple design, the base and capital both being series of cylindrical disks of alternating diameter. The shaft is almost never fluted. The proportions vary, but are generally similar to Doric columns. Height to width ratio is about 7:1. The Ionic column is considerably more complex than the Doric or Tuscan. It usually has a base and the shaft is often fluted (it has grooves carved up its length). The capital features

1428-470: Is equal to or more than 400 mm. Massive columns have the ability to increase in carrying strength over long time periods (even during periods of heavy load). Taking into account the fact, that possible structural loads may increase over time as well (and also the threat of progressive failure), massive columns have an advantage compared to non-massive ones. When a column is too long to be built or transported in one piece, it has to be extended or spliced at

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1496-479: Is equal to the square root of (I/A), K = ratio of the longest half sine wave to the actual column length, E t = tangent modulus at the stress F cr , and KL = effective length (length of an equivalent hinged-hinged column). From Equation (2) it can be noted that the buckling strength of a column is inversely proportional to the square of its length. When the critical stress, F cr ( F cr = P cr / A , where A  = cross-sectional area of

1564-441: Is from four to six times as tall as its diameter; it has twenty broad flutes; the capital consists simply of a banded necking swelling out into a smooth echinus, which carries a flat square abacus; the Doric entablature is also the heaviest, being about one-fourth the height column. The Greek Doric order was not used after c. 100 B.C. until its “rediscovery” in the mid-eighteenth century. The Tuscan order , also known as Roman Doric,

1632-484: Is known as a colonnade . All significant Iron Age civilizations of the Near East and Mediterranean made some use of columns. In ancient Egyptian architecture as early as 2600 BC, the architect Imhotep made use of stone columns whose surface was carved to reflect the organic form of bundled reeds, like papyrus , lotus and palm . In later Egyptian architecture faceted cylinders were also common. Their form

1700-488: Is much higher than that for solid cross sections such a rod or bar. In this way, stiff beams can be achieved with minimum weight. Thin walled beams are particularly useful when the material is a composite laminate . Pioneer work on composite laminate thin walled beams was done by Librescu . The torsional stiffness of a beam is greatly influenced by its cross sectional shape. For open sections, such as I sections, warping deflections occur which, if restrained, greatly increase

1768-412: Is not precisely coincident with the centroidal axis of the column, the column is characterized as eccentrically loaded. The eccentricity of the load, or an initial curvature, subjects the column to immediate bending. The increased stresses due to the combined axial-plus-flexural stresses result in a reduced load-carrying ability. Column elements are considered to be massive if their smallest side dimension

1836-514: Is represented in the bottom level of the Colosseum and the Parthenon , and was therefore considered to be able to hold more weight. The height-to-thickness ratio is about 8:1. The shaft of a Doric Column is almost always fluted . The Greek Doric, developed in the western Dorian region of Greece, is the heaviest and most massive of the orders. It rises from the stylobate without any base; it

1904-556: Is the part of the column that is indented in with a semi circular shape. The fillet of the column is the part between each of the flutes on the Ionic order columns. The flute width changes on all tapered columns as it goes up the shaft and stays the same on all non tapered columns. This was done to the columns to add visual interest to them. The Ionic and the Corinthian are the only orders that have fillets and flutes. The Doric style has flutes but not fillets. Doric flutes are connected at

1972-496: Is thought to derive from archaic reed-built shrines. Carved from stone, the columns were highly decorated with carved and painted hieroglyphs , texts, ritual imagery and natural motifs. Egyptian columns are famously present in the Great Hypostyle Hall of Karnak ( c.  1224 BC ), where 134 columns are lined up in sixteen rows, with some columns reaching heights of 24 metres. One of the most important type are

2040-754: The classical orders of architecture, which are most easily distinguished by the form of the column and its various elements. Their Doric , Ionic , and Corinthian orders were expanded by the Romans to include the Tuscan and Composite orders. Some of the most elaborate columns in the ancient world were those of the Persians , especially the massive stone columns erected in Persepolis . They included double-bull structures in their capitals . The Hall of Hundred Columns at Persepolis, measuring 70 × 70 metres,

2108-531: The deflection of beams include "method of virtual work " and the "slope deflection method". Engineers are interested in determining deflections because the beam may be in direct contact with a brittle material such as glass . Beam deflections are also minimized for aesthetic reasons. A visibly sagging beam, even if structurally safe, is unsightly and to be avoided. A stiffer beam (high modulus of elasticity and/or one of higher second moment of area ) creates less deflection. Mathematical methods for determining

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2176-444: The parallel axis theorem and the fact that most of the material is away from the neutral axis , the second moment of area of the beam increases, which in turn increases the stiffness. An Ɪ-beam is only the most efficient shape in one direction of bending: up and down looking at the profile as an 'Ɪ'. If the beam is bent side to side, it functions as an 'H', where it is less efficient. The most efficient shape for both directions in 2D

2244-569: The architecture of the Middle Ages . The classical forms were abandoned in both Byzantine and Romanesque architecture in favour of more flexible forms, with capitals often using various types of foliage decoration, and in the West scenes with figures carved in relief . During the Romanesque period, builders continued to reuse and imitate ancient Roman columns wherever possible; where new,

2312-424: The beam forces (internal forces of the beam and the forces that are imposed on the beam support) include the " moment distribution method ", the force or flexibility method and the direct stiffness method . Most beams in reinforced concrete buildings have rectangular cross sections, but a more efficient cross section for a beam is an Ɪ- or H-shaped section which is typically seen in steel construction. Because of

2380-415: The beam is exposed to shear stress. There are some reinforced concrete beams in which the concrete is entirely in compression with tensile forces taken by steel tendons. These beams are known as prestressed concrete beams, and are fabricated to produce a compression more than the expected tension under loading conditions. High strength steel tendons are stretched while the beam is cast over them. Then, when

2448-416: The beams are horizontal and carry vertical loads. However, any structure may contain beams, such as automobile frames, aircraft components, machine frames, and other mechanical or structural systems. Any structural element , in any orientation, that primarily resists loads applied laterally across the element's axis is a beam. Historically a beam is a squared timber, but may also be made of metal, stone, or

2516-519: The beginning of creation. The hall was not constructed by Horemheb , or Amenhotep III as earlier scholars had thought but was built entirely by Seti I who engraved the northern wing of the hall with inscriptions. Decoration of the southern wing was completed by the 19th dynasty pharaoh Ramesses II . A series of succeeding pharaohs added inscriptions to the walls and the columns in places their predecessors had left blank, including Ramesses III , Ramesses IV and Ramesses VI . The northern side of

2584-411: The bottom to enclose an arc of larger radius in tension. This is known as sagging ; while a configuration with the top in tension, for example over a support, is known as hogging . The axis of the beam retaining its original length, generally halfway between the top and bottom, is under neither compression nor tension, and defines the neutral axis (dotted line in the beam figure). Above the supports,

2652-423: The column returns to its straight form when the lateral force is removed. If the column load is gradually increased, a condition is reached in which the straight form of equilibrium becomes so-called neutral equilibrium, and a small lateral force will produce a deflection that does not disappear and the column remains in this slightly bent form when the lateral force is removed. The load at which neutral equilibrium of

2720-415: The column), is greater than the proportional limit of the material, the column is experiencing inelastic buckling. Since at this stress the slope of the material's stress-strain curve, E t (called the tangent modulus ), is smaller than that below the proportional limit, the critical load at inelastic buckling is reduced. More complex formulas and procedures apply for such cases, but in its simplest form

2788-582: The column. With hinged, fixed or free end support conditions the deflected shape in neutral equilibrium of an initially straight column with uniform cross section throughout its length always follows a partial or composite sinusoidal curve shape, and the critical load is given by f c r ≡ π 2 E I m i n L 2 ( 1 ) {\displaystyle f_{cr}\equiv {\frac {\pi ^{2}{\textit {E}}I_{min}}{{L}^{2}}}\qquad (1)} where E = elastic modulus of

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2856-472: The concrete has cured, the tendons are slowly released and the beam is immediately under eccentric axial loads. This eccentric loading creates an internal moment, and, in turn, increases the moment-carrying capacity of the beam. Prestressed beams are commonly used on highway bridges. The primary tool for structural analysis of beams is the Euler–Bernoulli beam equation . This equation accurately describes

2924-432: The construction site. A reinforced concrete column is extended by having the steel reinforcing bars protrude a few inches or feet above the top of the concrete, then placing the next level of reinforcing bars to overlap, and pouring the concrete of the next level. A steel column is extended by welding or bolting splice plates on the flanges and webs or walls of the columns to provide a few inches or feet of load transfer from

2992-434: The critical buckling load formula is given as Equation (3), f c r ≡ F y − F y 2 4 π 2 E ( K L r 2 ) ( 3 ) {\displaystyle f_{cr}\equiv {F_{y}}-{\frac {F_{y}^{2}}{4\pi ^{2}E}}\left({\frac {KL}{r^{2}}}\right)\qquad (3)} A column with

3060-555: The elastic behaviour of slender beams where the cross sectional dimensions are small compared to the length of the beam. For beams that are not slender a different theory needs to be adopted to account for the deformation due to shear forces and, in dynamic cases, the rotary inertia. The beam formulation adopted here is that of Timoshenko and comparative examples can be found in NAFEMS Benchmark Challenge Number 7. Other mathematical methods for determining

3128-430: The emphasis was on elegance and beauty, as illustrated by twisted columns. Often they were decorated with mosaics. Renaissance architecture was keen to revive the classical vocabulary and styles, and the informed use and variation of the classical orders remained fundamental to the training of architects throughout Baroque , Rococo and Neo-classical architecture . Early columns were constructed of stone, some out of

3196-412: The ground. In light frame construction , joists may rest on beams. In engineering, beams are of several types: In the beam equation , the variable I represents the second moment of area or moment of inertia : it is the sum, along the axis, of dA · r , where r is the distance from the neutral axis and dA is a small patch of area. It measures not only the total area of the beam section, but

3264-402: The hall is decorated in raised relief, and was mainly Seti I's work. The southern side of the hall was completed by Ramesses II, in sunk relief although he used raised relief at the very beginning of his reign before changing to the sunk relief style and re-editing his own raised reliefs. Ramesses II also usurped decoration of his father along the main north-south and east-west processional ways of

3332-409: The hall, giving the casual observer the idea that he was responsible for the building. However, most of Seti I's reliefs in the northern part of the hall were respected. The outer walls depict scenes of battle, Seti I on the north and Ramesses II on the south. Although these reliefs had religious and ideological functions, they are important records of the wars of these kings. On another wall adjoining

3400-556: The later Mycenaean civilization , particularly in the megaron or hall at the heart of their palaces. The importance of columns and their reference to palaces and therefore authority is evidenced in their use in heraldic motifs such as the famous lion-gate of Mycenae where two lions stand each side of a column. Being made of wood these early columns have not survived, but their stone bases have and through these we may see their use and arrangement in these palace buildings. The Egyptians, Persians and other civilizations mostly used columns for

3468-486: The least weight, and also has the slenderest ratio of thickness to height. Height to width ratio is about 10:1. The Composite order draws its name from the capital being a composite of the Ionic and Corinthian capitals. The acanthus of the Corinthian column already has a scroll-like element, so the distinction is sometimes subtle. Generally the Composite is similar to the Corinthian in proportion and employment, often in

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3536-514: The material, I min = the minimal moment of inertia of the cross section, and L = actual length of the column between its two end supports. A variant of (1) is given by f c r ≡ π 2 E T ( K L r ) 2 ( 2 ) {\displaystyle f_{cr}\equiv {\frac {\pi ^{2}E_{T}}{({\frac {KL}{r}})^{2}}}\qquad (2)} where r = radius of gyration of column cross-section which

3604-403: The papyriform columns. The origin of these columns goes back to the 5th Dynasty . They are composed of lotus (papyrus) stems which are drawn together into a bundle decorated with bands: the capital, instead of opening out into the shape of a bellflower , swells out and then narrows again like a flower in bud. The base, which tapers to take the shape of a half-sphere like the stem of the lotus, has

3672-454: The period. However, according to the architectural historian Vitruvius , the column was created by the sculptor Callimachus , probably an Athenian , who drew acanthus leaves growing around a votive basket. In fact, the oldest known Corinthian capital was found in Bassae , dated at 427 BC. It is sometimes called the feminine order because it is on the top level of the Colosseum and holding up

3740-456: The plinth alone, sometimes separated from the column by a convex circular cushion known as a torus . More elaborate bases include two toruses, separated by a concave section or channel known as a scotia or trochilus. Scotiae could also occur in pairs, separated by a convex section called an astragal , or bead, narrower than a torus. Sometimes these sections were accompanied by still narrower convex sections, known as annulets or fillets. At

3808-488: The practical purpose of holding up the roof inside a building, preferring outside walls to be decorated with reliefs or painting, but the Ancient Greeks, followed by the Romans, loved to use them on the outside as well, and the extensive use of columns on the interior and exterior of buildings is one of the most characteristic features of classical architecture, in buildings like the Parthenon . The Greeks developed

3876-582: The rest of the columns of the Temple. Peter J. Brand, Rosa Erika Feleg, and William J. Murnane, The Great Hypostyle Hall in the Temple of Amun at Karnak, Oriental Institute Publications 142, Chicago: The Oriental Institute, 2019, ISBN   978-1-61491-027-5 Translation and Commentary [1] , Figures and Plates [2] 25°43′07″N 32°39′28″E  /  25.7186°N 32.6579°E  / 25.7186; 32.6579 Column A column or pillar in architecture and structural engineering

3944-406: The same moldings as the base. In the case of free-standing columns, the decorative elements atop the shaft are known as a finial . Modern columns may be constructed out of steel, poured or precast concrete, or brick, left bare or clad in an architectural covering, or veneer. Used to support an arch, an impost , or pier, is the topmost member of a column. The bottom-most part of the arch, called

4012-555: The secure installation of utilities. It's specifically designed to work in conjunction with steel trench sheets. A thin walled beam is a very useful type of beam (structure). The cross section of thin walled beams is made up from thin panels connected among themselves to create closed or open cross sections of a beam (structure). Typical closed sections include round, square, and rectangular tubes. Open sections include I-beams, T-beams, L-beams, and so on. Thin walled beams exist because their bending stiffness per unit cross sectional area

4080-695: The south wall of the Hall is a record of Ramesses II's Egyptian–Hittite peace treaty that he signed in Year 21 of his reign. In 1899, eleven of the massive columns of the Great Hypostyle Hall collapsed in a chain reaction, because their foundations were undermined by ground water. Georges Legrain , who was then the chief archaeologist in the area, supervised the rebuilding that was completed in May 1902. Later, similar work had to continue in order to strengthen

4148-436: The springing, rests on the impost. As the axial load on a perfectly straight slender column with elastic material properties is increased in magnitude, this ideal column passes through three states: stable equilibrium, neutral equilibrium, and instability. The straight column under load is in stable equilibrium if a lateral force, applied between the two ends of the column, produces a small lateral deflection which disappears and

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4216-438: The square of each patch's distance from the axis. A larger value of I indicates a stiffer beam, more resistant to bending. Loads on a beam induce internal compressive , tensile and shear stresses (assuming no torsion or axial loading). Typically, under gravity loads, the beam bends into a slightly circular arc, with its original length compressed at the top to form an arc of smaller radius, while correspondingly stretched at

4284-445: The top of the shaft is a capital , upon which the roof or other architectural elements rest. In the case of Doric columns, the capital usually consists of a round, tapering cushion, or echinus, supporting a square slab, known as an abax or abacus . Ionic capitals feature a pair of volutes , or scrolls, while Corinthian capitals are decorated with reliefs in the form of acanthus leaves. Either type of capital could be accompanied by

4352-420: The upper tiers of colonnades . Height to width ratio is about 11:1 or 12:1. A Solomonic column , sometimes called " barley sugar ", begins on a base and ends in a capital, which may be of any order, but the shaft twists in a tight spiral, producing a dramatic, serpentine effect of movement. Solomonic columns were developed in the ancient world, but remained rare there. A famous marble set, probably 2nd century,

4420-439: The upper to the lower column section. A timber column is usually extended by the use of a steel tube or wrapped-around sheet-metal plate bolted onto the two connecting timber sections. A column that carries the load down to a foundation must have means to transfer the load without overstressing the foundation material. Reinforced concrete and masonry columns are generally built directly on top of concrete foundations. When seated on

4488-718: Was brought to Old St. Peter's Basilica by Constantine I , and placed round the saint's shrine, and was thus familiar throughout the Middle Ages, by which time they were thought to have been removed from the Temple of Jerusalem . The style was used in bronze by Bernini for his spectacular St. Peter's baldachin , actually a ciborium (which displaced Constantine's columns), and thereafter became very popular with Baroque and Rococo church architects, above all in Latin America , where they were very often used, especially on

4556-586: Was built by the Achaemenid king Darius I (524–486 BC). Many of the ancient Persian columns are standing, some being more than 30 metres tall. Tall columns with bull's head capitals were used for porticoes and to support the roofs of the hypostylehall, partly inspired by the ancient Egyptian precedent. Since the columns carried timber beams rather than stone, they could be taller, slimmer and more widely spaced than Egyptian ones. Columns, or at least large structural exterior ones, became much less significant in

4624-399: Was replaced by a stone cylinder. The Doric order is the oldest and simplest of the classical orders. It is composed of a vertical cylinder that is wider at the bottom. It generally has neither a base nor a detailed capital . It is instead often topped with an inverted frustum of a shallow cone or a cylindrical band of carvings. It is often referred to as the masculine order because it

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