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24 relations: Acceleration, Arc (geometry), Arthur Newell Talbot, Bruges, Cant (road/rail), Cartesian coordinate system, Degree of curvature, Elastica theory, Euler spiral, Fresnel integral, History of rail transport, Intrinsic equation, Leonhard Euler, Minimum railway curve radius, Quadratic equation, Railway engineering, Sine wave, Tangent, Three-dimensional space, Track (rail transport), Track geometry, William Froude, William Gravatt, William John Macquorn Rankine.
Acceleration
In physics, acceleration is the rate of change of velocity of an object with respect to time.
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Arc (geometry)
In Euclidean geometry, an arc (symbol: ⌒) is a closed segment of a differentiable curve.
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Arthur Newell Talbot
Arthur Newell Talbot (October 21, 1857 – April 3, 1942) was an American civil engineer.
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Bruges
Bruges (Brugge; Bruges; Brügge) is the capital and largest city of the province of West Flanders in the Flemish Region of Belgium, in the northwest of the country.
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Cant (road/rail)
The cant of a railway track or camber of a road (also referred to as superelevation, cross slope or cross fall) is the rate of change in elevation (height) between the two rails or edges.
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Cartesian coordinate system
A Cartesian coordinate system is a coordinate system that specifies each point uniquely in a plane by a pair of numerical coordinates, which are the signed distances to the point from two fixed perpendicular directed lines, measured in the same unit of length.
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Degree of curvature
Degree of curve or degree of curvature is a measure of curvature of a circular arc used in civil engineering for its easy use in layout surveying.
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Elastica theory
The elastica theory is a theory of mechanics of solid materials developed by Leonhard Euler that allows for very large scale elastic deflections of structures.
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Euler spiral
An Euler spiral is a curve whose curvature changes linearly with its curve length (the curvature of a circular curve is equal to the reciprocal of the radius).
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Fresnel integral
Plots of ''S''(''x'') and ''C''(''x''). The maximum of ''C''(''x'') is about 0.977451424. If \frac\pi2t^2 were used instead of t^2, then the image would be scaled vertically and horizontally (see below). Fresnel integrals, S(x) and C(x), are two transcendental functions named after Augustin-Jean Fresnel that are used in optics, which are closely related to the error function (erf).
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History of rail transport
The history of rail transport began in 6th century BC in Ancient Greece.
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Intrinsic equation
In geometry, an intrinsic equation of a curve is an equation that defines the curve using a relation between the curve's intrinsic properties, that is, properties that do not depend on the location and possibly the orientation of the curve.
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Leonhard Euler
Leonhard Euler (Swiss Standard German:; German Standard German:; 15 April 170718 September 1783) was a Swiss mathematician, physicist, astronomer, logician and engineer, who made important and influential discoveries in many branches of mathematics, such as infinitesimal calculus and graph theory, while also making pioneering contributions to several branches such as topology and analytic number theory.
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Minimum railway curve radius
The minimum railway curve radius is the shortest allowable design radius for the centre line of railway tracks under a particular set of conditions.
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Quadratic equation
In algebra, a quadratic equation (from the Latin quadratus for "square") is any equation having the form where represents an unknown, and,, and represent known numbers such that is not equal to.
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Railway engineering
Railway engineering is a multi-faceted engineering discipline dealing with the design, construction and operation of all types of rail transport systems.
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Sine wave
A sine wave or sinusoid is a mathematical curve that describes a smooth periodic oscillation.
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Tangent
In geometry, the tangent line (or simply tangent) to a plane curve at a given point is the straight line that "just touches" the curve at that point.
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Three-dimensional space
Three-dimensional space (also: 3-space or, rarely, tri-dimensional space) is a geometric setting in which three values (called parameters) are required to determine the position of an element (i.e., point).
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Track (rail transport)
The track on a railway or railroad, also known as the permanent way, is the structure consisting of the rails, fasteners, railroad ties (sleepers, British English) and ballast (or slab track), plus the underlying subgrade.
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Track geometry
Track geometry is three-dimensional geometry of track layouts and associated measurements used in design, construction and maintenance of railroad tracks.
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William Froude
William Froude (28 November 1810 in Devon – 4 May 1879 in Simonstown, South Africa) was an English engineer, hydrodynamicist and naval architect.
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William Gravatt
William Gravatt FRS (14 July 1806 – 30 May 1866), was a noted English civil engineer and scientific instrument maker.
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William John Macquorn Rankine
Prof William John Macquorn Rankine LLD (5 July 1820 – 24 December 1872) was a Scottish mechanical engineer who also contributed to civil engineering, physics and mathematics.
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Curve of adjustment, Easement curve, Railroad track transition curve, Spiral easement, Track transition curves, Transitional curve.
References
[1] https://en.wikipedia.org/wiki/Track_transition_curve
