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97-553: In domestic applications, traps are typically U, S, Q, or J-shaped pipe located below or within a plumbing fixture . An S-shaped trap is also known as an S-bend . It was invented by Alexander Cumming in 1775 but became known as the U-bend following the introduction of the U-shaped trap by Thomas Crapper in 1880. The U-bend could not jam, so, unlike the S-bend, it did not need an overflow. In

194-454: A = r sin ⁡ α . {\displaystyle {\begin{aligned}e&=\cos \alpha ,\\[1ex]a&={\frac {r}{\sin \alpha }}.\end{aligned}}} If the base of a circular cylinder has a radius r and the cylinder has height h , then its volume is given by V = π r 2 h {\displaystyle V=\pi r^{2}h} This formula holds whether or not

291-431: A Mill Test Report (MTR). These tests can be used to prove that the alloy conforms to various specifications (e.g. 316 SS ). The tests are stamped by the mill's QA/QC department and can be used to trace the material back to the mill by future users, such as piping and fitting manufacturers. Maintaining the traceability between the alloy material and associated MTR is an important quality assurance issue. QA often requires

388-429: A bar code and the ends are capped (plastic) for protection. The pipe and pipe spools are delivered to a warehouse on a large commercial/industrial job and they may be held indoors or in a gridded laydown yard. The pipe or pipe spool is retrieved, staged, rigged, and then lifted into place. On large process jobs the lift is made using cranes and hoist and other material lifts. They are typically temporarily supported in

485-543: A three-dimensional solid , one of the most basic of curvilinear geometric shapes . In elementary geometry , it is considered a prism with a circle as its base. A cylinder may also be defined as an infinite curvilinear surface in various modern branches of geometry and topology . The shift in the basic meaning—solid versus surface (as in a solid ball versus sphere surface)—has created some ambiguity with terminology. The two concepts may be distinguished by referring to solid cylinders and cylindrical surfaces . In

582-425: A common integration technique for finding volumes of solids of revolution. In the treatise by this name, written c.  225 BCE , Archimedes obtained the result of which he was most proud, namely obtaining the formulas for the volume and surface area of a sphere by exploiting the relationship between a sphere and its circumscribed right circular cylinder of the same height and diameter . The sphere has

679-501: A cost advantage over LSAW pipes, as the process uses coils rather than steel plates. As such, in applications where spiral-weld is acceptable, SSAW pipes may be preferred over LSAW pipes. Both LSAW pipes and SSAW pipes compete against ERW pipes and seamless pipes in the diameter ranges of 16”-24”. Tubing for flow, either metal or plastic, is generally extruded . Pipe is made out of many types of material including ceramic , glass , fiberglass , many metals , concrete and plastic . In

776-501: A fluidized bed reactor) or from a natural phenomenon such as an earthquake (design basis event or DBE). Pipe hanger assembles are usually attached with pipe clamps. Possible exposure to high temperatures and heavy loads should be included when specifying which clamps are needed. Pipes are commonly joined by welding , using threaded pipe and fittings; sealing the connection with a pipe thread compound, Polytetrafluoroethylene (PTFE) Thread seal tape , oakum , or PTFE string, or by using

873-407: A height much greater than its diameter, whereas a short and wide disk cylinder has a diameter much greater than its height. A cylindric section is the intersection of a cylinder's surface with a plane . They are, in general, curves and are special types of plane sections . The cylindric section by a plane that contains two elements of a cylinder is a parallelogram . Such a cylindric section of

970-413: A hollow pipe is far stiffer per unit weight than the solid members. In common usage the words pipe and tube are usually interchangeable, but in industry and engineering, the terms are uniquely defined. Depending on the applicable standard to which it is manufactured, pipe is generally specified by a nominal diameter with a constant outside diameter (OD) and a schedule that defines the thickness. Tube

1067-481: A little odd. For example, Sch 20 pipe is even thinner than Sch 40, but same OD. And while these pipes are based on old steel pipe sizes, there is other pipe, like cpvc for heated water, that uses pipe sizes, inside and out, based on old copper pipe size standards instead of steel. Many different standards exist for pipe sizes, and their prevalence varies depending on industry and geographical area. The pipe size designation generally includes two numbers; one that indicates

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1164-531: A mechanical coupling. Process piping is usually joined by welding using a TIG or MIG process. The most common process pipe joint is the butt weld. The ends of pipe to be welded must have a certain weld preparation called an End Weld Prep (EWP) which is typically at an angle of 37.5 degrees to accommodate the filler weld metal. The most common pipe thread in North America is the National Pipe Thread (NPT) or

1261-558: A metric Diameter Nominal (DN) instead of the imperial NPS. For NPS larger than 14, the DN is equal to the NPS multiplied by 25. (Not 25.4) This is documented by EN 10255 (formerly DIN 2448 and BS 1387) and ISO 65:1981, and it is often called DIN or ISO pipe. Japan has its own set of standard pipe sizes, often called JIS pipe. The Iron pipe size (IPS) is an older system still used by some manufacturers and legacy drawings and equipment. The IPS number

1358-499: A number of pipes together, and for other purposes. A broad variety of standardized pipe fittings are available; they are generally broken down into either a tee, an elbow, a branch, a reducer/enlarger, or a wye. Valves control fluid flow and regulate pressure. The piping and plumbing fittings and valves articles discuss them further. Cylinder (geometry) A cylinder (from Ancient Greek κύλινδρος ( kúlindros )  'roller, tumbler') has traditionally been

1455-411: A number of processes that may be used to produce ERW pipes. Each of these processes leads to coalescence or merging of steel components into pipes. Electric current is passed through the surfaces that have to be welded together; as the components being welded together resist the electric current, heat is generated which forms the weld. Pools of molten metal are formed where the two surfaces are connected as

1552-602: A number of standards, including API 5L, ANSI / ASME B36.10M (Table 1) in the US, and BS 1600 and BS 1387 in the United Kingdom. Typically the pipe wall thickness is the controlled variable, and the Inside Diameter (I.D.) is allowed to vary. The pipe wall thickness has a variance of approximately 12.5 percent. In the rest of Europe pressure piping uses the same pipe IDs and wall thicknesses as Nominal Pipe Size , but labels them with

1649-410: A plane intersects a base of the cylinder in exactly two points then the line segment joining these points is part of the cylindric section. If such a plane contains two elements, it has a rectangle as a cylindric section, otherwise the sides of the cylindric section are portions of an ellipse. Finally, if a plane contains more than two points of a base, it contains the entire base and the cylindric section

1746-407: A plane not parallel to the given line. Such cylinders have, at times, been referred to as generalized cylinders . Through each point of a generalized cylinder there passes a unique line that is contained in the cylinder. Thus, this definition may be rephrased to say that a cylinder is any ruled surface spanned by a one-parameter family of parallel lines. A cylinder having a right section that

1843-407: A right cylinder is a rectangle . A cylindric section in which the intersecting plane intersects and is perpendicular to all the elements of the cylinder is called a right section . If a right section of a cylinder is a circle then the cylinder is a circular cylinder. In more generality, if a right section of a cylinder is a conic section (parabola, ellipse, hyperbola) then the solid cylinder

1940-399: A right cylinder, is more generally given by L = e × p , {\displaystyle L=e\times p,} where e is the length of an element and p is the perimeter of a right section of the cylinder. This produces the previous formula for lateral area when the cylinder is a right circular cylinder. A right circular hollow cylinder (or cylindrical shell )

2037-409: A single real line (actually a coincident pair of lines), or only at the vertex. These cases give rise to the hyperbolic, parabolic or elliptic cylinders respectively. This concept is useful when considering degenerate conics , which may include the cylindrical conics. A solid circular cylinder can be seen as the limiting case of a n -gonal prism where n approaches infinity . The connection

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2134-542: A single real point.) If A and B have different signs and ρ ≠ 0 {\displaystyle \rho \neq 0} , we obtain the hyperbolic cylinders , whose equations may be rewritten as: ( x a ) 2 − ( y b ) 2 = 1. {\displaystyle \left({\frac {x}{a}}\right)^{2}-\left({\frac {y}{b}}\right)^{2}=1.} Finally, if AB = 0 assume, without loss of generality , that B = 0 and A = 1 to obtain

2231-416: A strong electric current is passed through the metal; these pools of molten metal form the weld that binds the two abutted components. ERW pipes are manufactured from the longitudinal welding of steel. The welding process for ERW pipes is continuous, as opposed to welding of distinct sections at intervals. ERW process uses steel coil as feedstock. The High Frequency Induction Technology (HFI) welding process

2328-401: A test of chemical composition and a series of mechanical strength tests for each heat of pipe. A heat of pipe is all forged from the same cast ingot, and therefore had the same chemical composition. Mechanical tests may be associated to a lot of pipe, which would be all from the same heat and have been through the same heat treatment processes. The manufacturer performs these tests and reports

2425-411: A volume two-thirds that of the circumscribed cylinder and a surface area two-thirds that of the cylinder (including the bases). Since the values for the cylinder were already known, he obtained, for the first time, the corresponding values for the sphere. The volume of a sphere of radius r is ⁠ 4 / 3 ⁠ π r = ⁠ 2 / 3 ⁠ (2 π r ) . The surface area of this sphere

2522-421: Is 4 π r = ⁠ 2 / 3 ⁠ (6 π r ) . A sculpted sphere and cylinder were placed on the tomb of Archimedes at his request. In some areas of geometry and topology the term cylinder refers to what has been called a cylindrical surface . A cylinder is defined as a surface consisting of all the points on all the lines which are parallel to a given line and which pass through a fixed plane curve in

2619-403: Is a circle. In the case of a right circular cylinder with a cylindric section that is an ellipse, the eccentricity e of the cylindric section and semi-major axis a of the cylindric section depend on the radius of the cylinder r and the angle α between the secant plane and cylinder axis, in the following way: e = cos ⁡ α ,

2716-423: Is a gasket style where the flanges of the adjoining pipes are bolted together, compressing the gasket into a space between the pipe. Mechanical grooved couplings or Victaulic joints are also frequently used for frequent disassembly and assembly. Developed in the 1920s, these mechanical grooved couplings can operate up to 120 pounds per square inch (830 kPa) working pressures and available in materials to match

2813-756: Is a generalization of the equation of the ordinary, circular cylinder ( a = b ). Elliptic cylinders are also known as cylindroids , but that name is ambiguous, as it can also refer to the Plücker conoid . If ρ {\displaystyle \rho } has a different sign than the coefficients, we obtain the imaginary elliptic cylinders : ( x a ) 2 + ( y b ) 2 = − 1 , {\displaystyle \left({\frac {x}{a}}\right)^{2}+\left({\frac {y}{b}}\right)^{2}=-1,} which have no real points on them. ( ρ = 0 {\displaystyle \rho =0} gives

2910-405: Is a right circular cylinder. The height of a cylinder of revolution is the length of the generating line segment. The line that the segment is revolved about is called the axis of the cylinder and it passes through the centers of the two bases. The bare term cylinder often refers to a solid cylinder with circular ends perpendicular to the axis, that is, a right circular cylinder, as shown in

3007-613: Is a three-dimensional region bounded by two right circular cylinders having the same axis and two parallel annular bases perpendicular to the cylinders' common axis, as in the diagram. Let the height be h , internal radius r , and external radius R . The volume is given by V = π ( R 2 − r 2 ) h = 2 π ( R + r 2 ) h ( R − r ) . {\displaystyle V=\pi \left(R^{2}-r^{2}\right)h=2\pi \left({\frac {R+r}{2}}\right)h(R-r).} Thus,

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3104-638: Is an ellipse , parabola , or hyperbola is called an elliptic cylinder , parabolic cylinder and hyperbolic cylinder , respectively. These are degenerate quadric surfaces . When the principal axes of a quadric are aligned with the reference frame (always possible for a quadric), a general equation of the quadric in three dimensions is given by f ( x , y , z ) = A x 2 + B y 2 + C z 2 + D x + E y + G z + H = 0 , {\displaystyle f(x,y,z)=Ax^{2}+By^{2}+Cz^{2}+Dx+Ey+Gz+H=0,} with

3201-447: Is for clothes washing machines , which rapidly dispense a large volume of wastewater while draining the wash and rinse cycles. In chemical engineering applications, a trap may be known as a lute. An S-shaped trap is also known as an S-bend . It was invented by Alexander Cumming in 1775 but became known as the U-bend following the introduction of the U-shaped trap by Thomas Crapper in 1880. The new U-bend could not jam, so, unlike

3298-418: Is formed by rolling plate and welding the seam (usually by Electric resistance welding ("ERW"), or Electric Fusion Welding ("EFW")). The weld flash can be removed from both inner and outer surfaces using a scarfing blade. The weld zone can also be heat-treated to make the seam less visible. Welded pipe often has tighter dimensional tolerances than the seamless type, and can be cheaper to manufacture. There are

3395-506: Is generally available in diameters of 6, 8, 10, 12, 15, 18, 21, and 24 inches (15, 20, 25, 30, 38, 46, 53, and 61 cm). The manufacture and installation of pressure piping is tightly regulated by the ASME "B31" code series such as B31.1 or B31.3 which have their basis in the ASME Boiler and Pressure Vessel Code (BPVC) . This code has

3492-490: Is incompatible with the service fluid or where weight is a concern; aluminum is also used for heat transfer tubing such as in refrigerant systems. Copper tubing is popular for domestic water (potable) plumbing systems; copper may be used where heat transfer is desirable (i.e. radiators or heat exchangers). Inconel , chrome moly , and titanium steel alloys are used in high temperature and pressure piping in process and power facilities. When specifying alloys for new processes,

3589-485: Is most often specified by the OD and wall thickness, but may be specified by any two of OD, inside diameter (ID), and wall thickness. Pipe is generally manufactured to one of several international and national industrial standards. While similar standards exist for specific industry application tubing, tube is often made to custom sizes and a broader range of diameters and tolerances. Many industrial and government standards exist for

3686-414: Is neither the inside nor outside diameter. Plastic tubing, such as PVC and CPVC, for plumbing applications also has different sizing standards . Agricultural applications use PIP sizes, which stands for Plastic Irrigation Pipe . PIP comes in pressure ratings of 22 psi (150 kPa), 50 psi (340 kPa), 80 psi (550 kPa), 100 psi (690 kPa), and 125 psi (860 kPa) and

3783-562: Is never the same as SCH 160. XXS is in fact thicker than SCH 160 for NPS 1/8" to 6" inclusive, whereas SCH 160 is thicker than XXS for NPS 8" and larger. Another old system is the Ductile Iron Pipe Size (DIPS), which generally has larger ODs than IPS. Copper plumbing tube for residential plumbing follows an entirely different size system in America, often called Copper Tube Size (CTS); see domestic water system . Its nominal size

3880-413: Is often used in the gravity-flow transport of storm water. Usually such pipe will have a receiving bell or a stepped fitting, with various sealing methods applied at installation. When the alloys for piping are forged, metallurgical tests are performed to determine material composition by % of each chemical element in the piping, and the results are recorded in a material test report, also known as

3977-403: Is said to be parabolic, elliptic and hyperbolic, respectively. For a right circular cylinder, there are several ways in which planes can meet a cylinder. First, planes that intersect a base in at most one point. A plane is tangent to the cylinder if it meets the cylinder in a single element. The right sections are circles and all other planes intersect the cylindrical surface in an ellipse . If

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4074-414: Is spectrographically analyzed. Pipe sizes can be confusing because the terminology may relate to historical dimensions. For example, a half-inch iron pipe does not have any dimension that is a half inch. Initially, a half inch pipe did have an inner diameter of 1 ⁄ 2 inch (13 mm)—but it also had thick walls. As technology improved, thinner walls became possible, but the outside diameter stayed

4171-425: Is the diameter of the circular top or bottom. For a given volume, the right circular cylinder with the smallest surface area has h = 2 r . Equivalently, for a given surface area, the right circular cylinder with the largest volume has h = 2 r , that is, the cylinder fits snugly in a cube of side length = altitude ( = diameter of base circle). The lateral area, L , of a circular cylinder, which need not be

4268-636: Is the equation of an elliptic cylinder . Further simplification can be obtained by translation of axes and scalar multiplication. If ρ {\displaystyle \rho } has the same sign as the coefficients A and B , then the equation of an elliptic cylinder may be rewritten in Cartesian coordinates as: ( x a ) 2 + ( y b ) 2 = 1. {\displaystyle \left({\frac {x}{a}}\right)^{2}+\left({\frac {y}{b}}\right)^{2}=1.} This equation of an elliptic cylinder

4365-426: Is the only type of geometric figure for which this technique works with the use of only elementary considerations (no appeal to calculus or more advanced mathematics). Terminology about prisms and cylinders is identical. Thus, for example, since a truncated prism is a prism whose bases do not lie in parallel planes, a solid cylinder whose bases do not lie in parallel planes would be called a truncated cylinder . From

4462-418: Is the same as the NPS number, but the schedules were limited to Standard Wall (STD), Extra Strong (XS), and Double Extra Strong (XXS). STD is identical to SCH 40 for NPS 1/8 to NPS 10, inclusive, and indicates .375" wall thickness for NPS 12 and larger. XS is identical to SCH 80 for NPS 1/8 to NPS 8, inclusive, and indicates .500" wall thickness for NPS 8 and larger. Different definitions exist for XXS, however it

4559-606: Is used for manufacturing ERW pipes. In this process, the current to weld the pipe is applied by means of an induction coil around the tube. HFI is generally considered to be technically superior to "ordinary" ERW when manufacturing pipes for critical applications, such as for usage in the energy sector, in addition to other uses in line pipe applications, as well as for casing and tubing. Large-diameter pipe (25 centimetres (10 in) or greater) may be ERW, EFW, or Submerged Arc Welded ("SAW") pipe. There are two technologies that can be used to manufacture steel pipes of sizes larger than

4656-507: Is usually delivered to a customer or jobsite as either "sticks" or lengths of pipe (typically 20 feet (6.1 m), called single random length) or they are prefabricated with elbows, tees and valves into a prefabricated pipe spool [A pipe spool is a piece of pre-assembled pipe and fittings, usually prepared in a shop so that installation on the construction site can be more efficient.]. Typically, pipe smaller than 2 inches (5.1 cm) are not pre-fabricated. The pipe spools are usually tagged with

4753-407: Is very strong and many older texts treat prisms and cylinders simultaneously. Formulas for surface area and volume are derived from the corresponding formulas for prisms by using inscribed and circumscribed prisms and then letting the number of sides of the prism increase without bound. One reason for the early emphasis (and sometimes exclusive treatment) on circular cylinders is that a circular base

4850-669: The Dryseal (NPTF) version. Other pipe threads include the British Standard Pipe Thread (BSPT), the garden hose thread (GHT), and the fire hose coupling (NST). Copper pipes are typically joined by soldering , brazing , compression fittings , flaring , or crimping . Plastic pipes may be joined by solvent welding , heat fusion , or elastomeric sealing. If frequent disconnection will be required, gasketed pipe flanges or union fittings provide better reliability than threads. Some thin-walled pipes of ductile material, such as

4947-410: The heat number to be written on the pipe. Precautions must also be taken to prevent the introduction of counterfeit materials. As a backup to etching/labeling of the material identification on the pipe, positive material identification (PMI) is performed using a handheld device; the device scans the pipe material using an emitted electromagnetic wave ( x-ray fluorescence/XRF ) and receives a reply that

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5044-409: The parabolic cylinders with equations that can be written as: x 2 + 2 a y = 0. {\displaystyle x^{2}+2ay=0.} In projective geometry , a cylinder is simply a cone whose apex (vertex) lies on the plane at infinity . If the cone is a quadratic cone, the plane at infinity (which passes through the vertex) can intersect the cone at two real lines,

5141-489: The surface area of a right circular cylinder, oriented so that its axis is vertical, consists of three parts: The area of the top and bottom bases is the same, and is called the base area , B . The area of the side is known as the lateral area , L . An open cylinder does not include either top or bottom elements, and therefore has surface area (lateral area) L = 2 π r h {\displaystyle L=2\pi rh} The surface area of

5238-416: The 1870s ), until by the early 1930s these methods were replaced by welding , which is still widely used today. There are three processes for metallic pipe manufacture. Centrifugal casting of hot alloyed metal is one of the most prominent process. Ductile iron pipes are generally manufactured in such a fashion. Seamless pipe (SMLS) is formed by drawing a solid billet over a piercing rod to create

5335-558: The S-bend, it did not need an overflow. Once invented, despite being simple and reasonably reliable, widespread use was slow coming. In Britain, the requirement to use traps was introduced only after the Great Stink in London, in the summer of 1858, when the objectionable smell of the River Thames , which was effectively an open sewer, affected the nearby Houses of Parliament . That motivated

5432-402: The US, BS 1600 and BS EN 10255 in the United Kingdom and Europe. There are two common methods for designating pipe outside diameter (OD). The North American method is called NPS (" Nominal Pipe Size ") and is based on inches (also frequently referred to as NB ("Nominal Bore")). The European version is called DN ("Diametre Nominal" / "Nominal Diameter") and is based on millimetres. Designating

5529-666: The US, "S" traps are no longer accepted by the building codes as unvented S-traps tend to siphon dry. It may be possible to determine whether a household uses an S- or U-bend by the presence of an overflow pipe outlet. What is required instead is a P-trap with proper venting. Certain drum-styled traps are also discouraged or banned. Pipe (material) A pipe is a tubular section or hollow cylinder , usually but not necessarily of circular cross-section , used mainly to convey substances which can flow — liquids and gases ( fluids ), slurries , powders and masses of small solids. It can also be used for structural applications;

5626-478: The United States, traps are commonly referred to as P-traps. It is the addition of a 90 degree fitting on the outlet side of a U-bend, thereby creating a P-like shape (oriented horizontally). It is also referred to as a sink trap because it is installed under most sinks. Because of its shape, the trap retains some water after the fixture's use. This water creates an air seal that prevents sewer gas from passing from

5723-533: The axis of the cylinder is taken as the positive x -axis and A ( x ) = A the area of each elliptic cross-section, thus: V = ∫ 0 h A ( x ) d x = ∫ 0 h π a b d x = π a b ∫ 0 h d x = π a b h . {\displaystyle V=\int _{0}^{h}A(x)dx=\int _{0}^{h}\pi abdx=\pi ab\int _{0}^{h}dx=\pi abh.} Using cylindrical coordinates ,

5820-440: The bases are disks (regions whose boundary is a circle ) the cylinder is called a circular cylinder . In some elementary treatments, a cylinder always means a circular cylinder. The height (or altitude) of a cylinder is the perpendicular distance between its bases. The cylinder obtained by rotating a line segment about a fixed line that it is parallel to is a cylinder of revolution . A cylinder of revolution

5917-904: The coefficients being real numbers and not all of A , B and C being 0. If at least one variable does not appear in the equation, then the quadric is degenerate. If one variable is missing, we may assume by an appropriate rotation of axes that the variable z does not appear and the general equation of this type of degenerate quadric can be written as A ( x + D 2 A ) 2 + B ( y + E 2 B ) 2 = ρ , {\displaystyle A\left(x+{\frac {D}{2A}}\right)^{2}+B\left(y+{\frac {E}{2B}}\right)^{2}=\rho ,} where ρ = − H + D 2 4 A + E 2 4 B . {\displaystyle \rho =-H+{\frac {D^{2}}{4A}}+{\frac {E^{2}}{4B}}.} If AB > 0 this

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6014-500: The composition in a mill traceability report and the mechanical tests in a material test report , both of which are referred to by the acronym MTR. Material with these associated test reports is called traceable . For critical applications, third party verification of these tests may be required; in this case an independent lab will produce a certified material test report (CMTR), and the material will be called certified . Some widely used pipe standards or piping classes are: API 5L

6111-416: The cylinder . All the elements of a cylinder have equal lengths. The region bounded by the cylindrical surface in either of the parallel planes is called a base of the cylinder. The two bases of a cylinder are congruent figures. If the elements of the cylinder are perpendicular to the planes containing the bases, the cylinder is a right cylinder , otherwise it is called an oblique cylinder . If

6208-505: The cylinder is a right cylinder. This formula may be established by using Cavalieri's principle . In more generality, by the same principle, the volume of any cylinder is the product of the area of a base and the height. For example, an elliptic cylinder with a base having semi-major axis a , semi-minor axis b and height h has a volume V = Ah , where A is the area of the base ellipse (= π ab ). This result for right elliptic cylinders can also be obtained by integration, where

6305-440: The drain pipe by venting room air into the drain pipe (behind the trap). A " Chicago Loop " is another alternative. When a trap is installed on a fixture that is not routinely used—such as a floor drain—the eventual evaporation of the water in the trap must be considered. In these cases, a trap primer may be installed; these are devices that automatically recharge traps with water to maintain their water seals. In some regions of

6402-480: The drain pipes back into the building. Essentially all plumbing fixtures including sinks , bathtubs , and showers must be equipped with either an internal or external trap. Toilets almost always have an internal trap. Because it is a localized low-point in the plumbing, sink traps also tend to capture small and heavy objects (such as jewellery or coins) accidentally dropped down the sink. Traps also tend to collect hair, sand, food waste and other debris and limit

6499-505: The figure. The cylindrical surface without the ends is called an open cylinder . The formulae for the surface area and the volume of a right circular cylinder have been known from early antiquity. A right circular cylinder can also be thought of as the solid of revolution generated by rotating a rectangle about one of its sides. These cylinders are used in an integration technique (the "disk method") for obtaining volumes of solids of revolution. A tall and thin needle cylinder has

6596-477: The force of law in Canada and the US. Europe and the rest of the world has an equivalent system of codes. Pressure piping is generally pipe that must carry pressures greater than 10 to 25 atmospheres, although definitions vary. To ensure safe operation of the system, the manufacture, storage, welding, testing, etc. of pressure piping must meet stringent quality standards. Manufacturing standards for pipes commonly require

6693-497: The hollow shell in a process called rotary piercing . As the manufacturing process does not include any welding, seamless pipes are perceived to be stronger and more reliable. Historically, seamless pipe was regarded as withstanding pressure better than other types, and was often more available than welded pipe. Advances since the 1970s, in materials, process control, and non-destructive testing, allow correctly specified welded pipe to replace seamless in many applications. Welded pipe

6790-399: The known issues of creep and sensitization effect must be taken into account. Lead piping is still found in old domestic and other water distribution systems , but is no longer permitted for new potable water piping installations due to its toxicity . Many building codes now require that lead piping in residential or institutional installations be replaced with non-toxic piping or that

6887-469: The legislators to authorise the construction of a modern sewerage system in the city, of which the S-bend was an essential component. As of 2017, only about two-thirds of the world population have access to traps, in spite of the evidence that good sewage systems significantly improve economic productivity in places that employ them. Maintaining the water seal is critical to trap operation; traps might dry out, and poor venting can suction or blow water out of

6984-399: The lines which are parallel to a given line and which pass through a fixed plane curve in a plane not parallel to the given line. Any line in this family of parallel lines is called an element of the cylindrical surface. From a kinematics point of view, given a plane curve, called the directrix , a cylindrical surface is that surface traced out by a line, called the generatrix , not in

7081-408: The literature the unadorned term cylinder could refer to either of these or to an even more specialized object, the right circular cylinder . The definitions and results in this section are taken from the 1913 text Plane and Solid Geometry by George A. Wentworth and David Eugene Smith ( Wentworth & Smith 1913 ). A cylindrical surface is a surface consisting of all the points on all

7178-410: The outage. After the pipe is installed it will be tested for leaks. Before testing it may need to be cleaned by blowing air or steam or flushing with a liquid. Pipes are usually either supported from below or hung from above (but may also be supported from the side), using devices called pipe supports. Supports may be as simple as a pipe "shoe" which is akin to a half of an I-beam welded to the bottom of

7275-537: The outside (OD) or nominal diameter, and the other that indicates the wall thickness. In the early twentieth century, American pipe was sized by inside diameter. This practice was abandoned to improve compatibility with pipe fittings that must usually fit the OD of the pipe, but it has had a lasting impact on modern standards around the world. In North America and the UK, pressure piping is usually specified by Nominal Pipe Size (NPS) and schedule (SCH). Pipe sizes are documented by

7372-637: The outside diameter allows pipes of the same size to be fit together no matter what the wall thickness. Since the outside diameter is fixed for a given pipe size, the inside diameter will vary depending on the wall thickness of the pipe. For example, 2" Schedule 80 pipe has thicker walls and therefore a smaller inside diameter than 2" Schedule 40 pipe. Steel pipe has been produced for about 150 years. The pipe sizes that are in use today in PVC and galvanized were originally designed years ago for steel pipe. The number system, like Sch 40, 80, 160, were set long ago and seem

7469-431: The past, wood and lead ( Latin plumbum , from which comes the word ' plumbing ') were commonly used. Typically metallic piping is made of steel or iron, such as unfinished, black (lacquer) steel, carbon steel , stainless steel , galvanized steel , brass , and ductile iron . Iron based piping is subject to corrosion if used within a highly oxygenated water stream. Aluminum pipe or tubing may be utilized where iron

7566-491: The pipe grade. Another type of mechanical coupling is a flareless tube fitting (Major brands include Swagelok, Ham-Let, Parker); this type of compression fitting is typically used on small tubing under 2 inches (51 mm) in diameter. When pipes join in chambers where other components are needed for the management of the network (such as valves or gauges), dismantling joints are generally used, in order to make mounting/dismounting easier. Fittings are also used to split or join

7663-400: The pipe. Under buried conditions, gasket-joint pipes allow for lateral movement due to soil shifting as well as expansion/contraction due to temperature differentials. Plastic MDPE and HDPE gas and water pipes are also often joined with Electrofusion fittings. Large above ground pipe typically uses a flanged joint, which is generally available in ductile iron pipe and some others. It

7760-641: The pipe; they may be "hung" using a clevis , or with trapeze type of devices called pipe hangers. Pipe supports of any kind may incorporate springs, snubbers, dampers, or combinations of these devices to compensate for thermal expansion , or to provide vibration isolation, shock control, or reduced vibration excitation of the pipe due to earthquake motion. Some dampers are simply fluid dashpots, but other dampers may be active hydraulic devices that have sophisticated systems that act to dampen peak displacements due to externally imposed vibrations or mechanical shocks. The undesired motions may be process derived (such as in

7857-413: The plane of the directrix, moving parallel to itself and always passing through the directrix. Any particular position of the generatrix is an element of the cylindrical surface. A solid bounded by a cylindrical surface and two parallel planes is called a (solid) cylinder . The line segments determined by an element of the cylindrical surface between the two parallel planes is called an element of

7954-448: The production of pipe and tubing. The term "tube" is also commonly applied to non-cylindrical sections, i.e., square or rectangular tubing. In general, "pipe" is the more common term in most of the world, whereas "tube" is more widely used in the United States. Both "pipe" and "tube" imply a level of rigidity and permanence, whereas a hose (or hosepipe) is usually portable and flexible. Pipe assemblies are almost always constructed with

8051-399: The same so it could mate with existing older pipe, increasing the inner diameter beyond half an inch. The history of copper pipe is similar. In the 1930s, the pipe was designated by its internal diameter and a 1 ⁄ 16 -inch (1.6 mm) wall thickness. Consequently, a 1-inch (25 mm) copper pipe had a 1 + 1 ⁄ 8 -inch (28.58 mm) outside diameter. The outside diameter

8148-435: The size of objects that enter the plumbing system, thereby catching oversized objects. For all of these reasons, most traps may be disassembled for cleaning or provide a cleanout feature. Where a volume of water may be rapidly discharged through the trap, a vertical vented pipe called a standpipe may be attached to the trap to prevent the disruption of the seal in other nearby traps. The most common use of standpipes in houses

8245-413: The smaller copper or flexible plastic water pipes found in homes for ice makers and humidifiers, for example, may be joined with compression fittings . Underground pipe typically uses a "push-on" gasket style of pipe that compresses a gasket into a space formed between the two adjoining pieces. Push-on joints are available on most types of pipe. A pipe joint lubricant must be used in the assembly of

8342-438: The solid right circular cylinder is made up the sum of all three components: top, bottom and side. Its surface area is therefore A = L + 2 B = 2 π r h + 2 π r 2 = 2 π r ( h + r ) = π d ( r + h ) {\displaystyle A=L+2B=2\pi rh+2\pi r^{2}=2\pi r(h+r)=\pi d(r+h)} where d = 2 r

8439-526: The steel pipes that can be produced by seamless and ERW processes. The two types of pipes produced through these technologies are longitudinal-submerged arc-welded (LSAW) and spiral-submerged arc-welded (SSAW) pipes. LSAW are made by bending and welding wide steel plates and most commonly used in oil and gas industry applications. Due to their high cost, LSAW pipes are seldom used in lower value non-energy applications such as water pipelines. SSAW pipes are produced by spiral (helicoidal) welding of steel coil and have

8536-462: The steel structure using beam clamps, straps, and small hoists until the pipe supports are attached or otherwise secured. An example of a tool used for installation for a small plumbing pipe (threaded ends) is the pipe wrench . Small pipe is typically not heavy and can be lifted into place by the installation craft laborer. However, during a plant outage or shutdown, the small (small bore) pipe may also be pre-fabricated to expedite installation during

8633-493: The traps. This is usually avoided by venting the drain pipes downstream of the trap; by being vented to the atmosphere outside the building, the drain lines never operate at a pressure much higher or lower than atmospheric pressure. In the United States, plumbing codes usually provide strict limitations on how far a trap may be located from the nearest vent stack . When a vent cannot be provided, an air admittance valve may be used instead. These devices avoid negative pressure in

8730-620: The tubes' interiors be treated with phosphoric acid . According to a senior researcher and lead expert with the Canadian Environmental Law Association , "[...] there is no safe level of lead [for human exposure]". In 1991 the US EPA issued the Lead and Copper Rule , a federal regulation which limits the concentration of lead and copper allowed in public drinking water, as well as the permissible amount of pipe corrosion occurring due to

8827-545: The use of fittings such as elbows, tees, and so on, while tube may be formed or bent into custom configurations. For materials that are inflexible, cannot be formed, or where construction is governed by codes or standards, tube assemblies are also constructed with the use of tube fittings. Additionally, pipes are used for many purposes that do not involve conveying fluid. Handrails , scaffolding, and support structures are often constructed from structural pipes, especially in an industrial environment. The first known use of pipes

8924-477: The volume of a cylindrical shell equals 2 π  ×   average radius ×   altitude ×  thickness. The surface area, including the top and bottom, is given by A = 2 π ( R + r ) h + 2 π ( R 2 − r 2 ) . {\displaystyle A=2\pi \left(R+r\right)h+2\pi \left(R^{2}-r^{2}\right).} Cylindrical shells are used in

9021-554: The volume of a right circular cylinder can be calculated by integration V = ∫ 0 h ∫ 0 2 π ∫ 0 r s d s d ϕ d z = π r 2 h . {\displaystyle {\begin{aligned}V&=\int _{0}^{h}\int _{0}^{2\pi }\int _{0}^{r}s\,\,ds\,d\phi \,dz\\[5mu]&=\pi \,r^{2}\,h.\end{aligned}}} Having radius r and altitude (height) h ,

9118-1139: The water itself. In the US it is estimated that 6.5 million lead service lines (pipes that connect water mains to home plumbing) installed before the 1930s are still in use. Plastic tubing is widely used for its light weight, chemical resistance, non-corrosive properties, and ease of making connections. Plastic materials include polyvinyl chloride (PVC), chlorinated polyvinyl chloride (CPVC), fibre reinforced plastic (FRP), reinforced polymer mortar (RPMP), polypropylene (PP), polyethylene (PE), cross-linked high-density polyethylene (PEX), polybutylene (PB), and acrylonitrile butadiene styrene (ABS), for example. In many countries, PVC pipes account for most pipe materials used in buried municipal applications for drinking water distribution and wastewater mains. Pipe may be made from concrete or ceramic , usually for low-pressure applications such as gravity flow or drainage. Pipes for sewage are still predominantly made from concrete or vitrified clay . Reinforced concrete can be used for large-diameter concrete pipes. This pipe material can be used in many types of construction, and

9215-462: Was changed in the second half of 2008 to edition 44 from edition 43 to make it identical to ISO 3183. It is important to note that the change has created the requirement that sour service, ERW pipe, pass a hydrogen induced cracking (HIC) test per NACE TM0284 in order to be used for sour service. Pipe installation is often more expensive than the material and a variety of specialized tools, techniques, and parts have been developed to assist this. Pipe

9312-821: Was in Ancient Egypt . The Pyramid of Sahure , completed around the 25th century BC, included a temple with an elaborate drainage system including more than 380 m (1,247 ft) of copper piping. During the Napoleonic Wars Birmingham gunmakers tried to use rolling mills to make iron musket barrels. One of them, Henry Osborne, developed a relatively effective process in 1817 with which he started to make iron gas tubes ca. 1820, selling some to gas lighting pioneer Samuel Clegg . When steel pipes were introduced in 19th century, they initially were riveted, and later clamped with H-shaped bars (even though methods for making weldless steel tubes were known already in

9409-537: Was the important dimension for mating with fittings. The wall thickness on modern copper is usually thinner than 1 ⁄ 16 -inch (1.6 mm), so the internal diameter is only "nominal" rather than a controlling dimension. Newer pipe technologies sometimes adopted a sizing system as its own. PVC pipe uses the Nominal Pipe Size . Pipe sizes are specified by a number of national and international standards, including API 5L, ANSI / ASME B36.10M and B36.19M in

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