Bike Stem Calculator

Formula

The formula to calculate the Bike Stem Length (BSL) is:

\[ \text{BSL} = (\text{R} \cdot \cos(\text{A})) + \left(\frac{\text{H}}{\sin(\text{A})}\right) \]

Where:

\( \text{BSL} \) is the Bike Stem Length (cm)
\( \text{R} \) is the Reach (cm)
\( \text{A} \) is the Stem Angle (degrees)
\( \text{H} \) is the Height Difference (cm)

What is a Bike Stem?

A bike stem is a crucial component of a bicycle that connects the handlebars to the steerer tube of the bicycle fork. It essentially serves as the conduit for steering control, allowing the rider to maneuver the bike. The length and angle of the stem can significantly affect the bike's handling and the rider's comfort and performance.

Example Calculation

Let's assume the following values:

Reach (R) = 40 cm
Stem Angle (A) = 6 degrees
Height Difference (H) = 10 cm

Using the formula to calculate the Bike Stem Length:

\[ \text{BSL} = (40 \cdot \cos(6^\circ)) + \left(\frac{10}{\sin(6^\circ)}\right) \]

Converting the angle to radians:

\[ 6^\circ \approx 0.1047 \text{ radians} \]

Now, using the cosine and sine values:

\[ \text{BSL} = (40 \cdot \cos(0.1047)) + \left(\frac{10}{\sin(0.1047)}\right) \approx 40 \cdot 0.9945 + 10 \cdot 9.5932 \approx 39.78 + 104.60 \approx 135.45\text{ cm} \]

The Bike Stem Length is approximately 135.45 cm.