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.
Horizontal Curves Definitions and Formulas
Horizontal Curve Formulas
$$L = 100\frac{I^{\circ}}{D^{\circ}}$$
$$L = RI_{\text{radians}}$$
$$L = \frac{RI 2 \pi}{360^{\circ}}$$
$$ R = \frac{5729.578}{D}$$
$$ T = R\tan\frac{I}{2}$$
$$ LC = 2R\sin\frac{I}{2}$$
$$ E = T\tan\frac{I}{4}$$
$$ M = E\cos\frac{I}{2}$$
