September 29,, 2009
Attendance: Chris, Paul, Rick, Hiltz, Miles
Leo demonstrated how to calculate the angles needed to make a tapered bucket..the next project.
The first step is to make a drawing of the project.
Draw a large circle representing the largest diameter (top) of the bucket and inside this draw a smaller circle, representing the smaller diameter(base) of the bucket.
Draw diameters representing the total number of segments you want: eg two diameters is four segments, four is eight etc.
Measure out the width of the segments from the diagram.
Cut these a little over sized using a taper jig (10 degrees)
The jointer is used to do the bevels.
Two passes on each side generally do.
Calculating the bevel angle:
360/# segments
eg 360/24=15
15/2 is 7.5 degrees (each side)
7.5/90 is 0.083
The slope will be 10 degrees
0.083 x 10 = .83
The angle needed is 8.3 degrees
See utube http://www.youtube.com/watch?v=3z4dMBNCSAg
Also this :
The chord of a segment of a curve =2 times radius times sin (central angle /2)
Say the bucket top is 16” inside diameter with 12 staves
A circle is 360 degrees, so the central angle for each stave is 30 degrees (360/12)
The radius is 8” or half the 16” inside diameter.
So, the inside measurement of each stave top is 2 times 8 times sin (30/2) = 4.14”
Say the bucket bottom is 12” inside diameter. The central angle is still 30 degrees.
The inside measurement of each stave bottom is 2 times 6 times sin (30/2) = 3.11”
The stave angle is half the central angle or 15 degrees for 12 staves.