The formula to calculate the Stave Angle (θ) is:
\[ \theta = \left( \frac{360}{N} \right) - 2 \cdot \arctan \left( \frac{D}{2H} \right) \cdot \left( \frac{180}{\pi} \right) \]
Where:
A barrel stave is one of the individual strips of wood or metal that are used to form the sides of a barrel. These staves are typically shaped with a slight curve to create the round shape of the barrel when assembled. The angle of each stave is crucial to ensure a tight fit and the structural integrity of the barrel. Staves are held together by metal hoops and are essential in the construction of barrels used for storage, aging, and transportation of liquids such as wine, whiskey, and other spirits.
Consider an example where:
Using the formula to calculate the Stave Angle:
\[ \theta = \left( \frac{360}{20} \right) - 2 \cdot \arctan \left( \frac{30}{2 \cdot 40} \right) \cdot \left( \frac{180}{\pi} \right) \approx -25.46 \text{ degrees} \]
This means that the stave angle for this example is approximately -25.46 degrees.