Blog Archives

Vertical Curves

Vertical Curves are nice! I think they are easier to solve than Horizontal Curves because they are essentially parabola equations (which you should be very used to). This is the formula for vertical curves

$$ y(x) = y_{PVC} + G_1x + \frac{1}{2}Rx^2 $$

\(y(x)\) is the elevation y at x horizontal distance into the curve from the start position

\(y_{PVC}\) is the starting elevation at x = 0.

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Horizontal Curves Definitions and Formulas

Horizontal Curve Formulas

$$L = 100\frac{I^{\circ}}{D^{\circ}}$$

$$L = RI_{\text{radians}}$$

$$L = \frac{RI 2 \pi}{360^{\circ}}$$

$$ R = \frac{5729.578}{D}$$

$$ T = R\tan\frac{I}{2}$$

$$ LC = 2R\sin\frac{I}{2}$$

$$ E = T\tan\frac{I}{4}$$

$$ M = E\cos\frac{I}{2}$$

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