Calculation of the deflection in the lemniscate of Bernoulli. Application to railway transfer curves




Lemniscate, transfer curves


Analytical expressions are deduced to calculate the deflection between a chord and a lemniscate curve. In railways, the interest of these expressions is that lemniscates are used as transfer curves between a straight and a circular section. Moreover, according to the regulations, the deflection that separates a wagon from the track must not exceed a certain amount, so that the expressions deduced are very useful in routine checks of railway tracks.


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