Mountain Bike Reach Calculator

Formula

To calculate the reach of a mountain bike:

\[ R = (S + H) - (A \times \cos(A)) \]

Where:

\(R\) is the Reach (mm)
\(S\) is the Stack Height (mm)
\(H\) is the Handlebar Width (mm)
\(A\) is the Angle of the Stem (degrees)
\(\cos(A)\) is the Cosine of the Stem Angle

What is Mountain Bike Reach?

Mountain bike reach refers to the horizontal distance from the center of the bottom bracket to the top center of the head tube. It is a crucial measurement in determining the size and fit of a mountain bike. A longer reach can provide more stability and control, especially at high speeds and on steep descents, while a shorter reach can make the bike feel more agile and responsive.

Example Calculation 1

Let's assume the following values:

Stack Height (\(S\)) = 600 mm
Handlebar Width (\(H\)) = 720 mm
Stem Angle (\(A\)) = 7 degrees

Using the formula:

\[ R = (600 + 720) - (7 \times \cos(7^\circ)) = 1320 - (7 \times 0.9925) \approx 1313.05 \, \text{mm} \]

The Mountain Bike Reach is approximately 1313.05 mm.

Example Calculation 2

Let's assume the following values:

Stack Height (\(S\)) = 580 mm
Handlebar Width (\(H\)) = 700 mm
Stem Angle (\(A\)) = 10 degrees

Using the formula:

\[ R = (580 + 700) - (10 \times \cos(10^\circ)) = 1280 - (10 \times 0.9848) \approx 1270.15 \, \text{mm} \]

The Mountain Bike Reach is approximately 1270.15 mm.