A transition curve is a spiral-shaped length of highway or railroad track that is used between sections having different profiles and radii, such as between straightaways and curves, or between two di
This sign aside a railroad (between Ghent and Bruges) indicates the start of the transition curve. A parabolic curve (POB) is used.
Brusio spiral viaduct and railway (Switzerland, built 1908), from above
William Gravatt FRS, was an English civil engineer and scientific instrument maker.
Track transition curve
…curvature became apparent. Rankine's 1862 Civil Engineering cites several such curves, including an 1828 or 1829 proposal based on the "curve of sines" by William Gravatt, and the curve of adjustment by William Froude around 1842 approximating the elastic curve. The actual equation given in Rankine is that of a cubic…
Inside the Thames Tunnel during construction, 1830
Gravatt's Great Bow Bridge of 1840, spanning the River Parrett, in Langport, Somerset
Per Georg Scheutz's third difference engine, on which Gravatt's replica was based