Splayed Joinery using a software tool.
saw blade
All of the dimensions of a stave are interrelated. As the number of staves, the thickness of the material being used, the
slope of the unit, and other parameters change so do the stave dimensions. I decided to use Microsoft Excel for
developing my software tool. It is flexible in that one can combine a way to input dimensions, do needed calculations,
display the final dimensions in table and graphic form, and supply any needed explanations. I also wanted to
incorporate a means to cut the staves on my table saw using a jig. The tool would need to calculate measurements for
setting up the jig. In addition I wanted an easy method to assemble the staves into the final form.
The software tool is used by entering parameters for
the material thickness, number of sides, and the inside
diameter of the unit ends. A graph of the unit gives
a visual representation.
When making a cone the unit height is entered to
calculate the stave length and fine tune other
dimensions..
Two additional parameters are available as needed. glue
thickness (rarely needed) and saw blade kerf, used to
estimate amount of material needed for the unit.
I began this project as a solution for connecting my dust collector to my shop tools.
Each had slightly different sized connection port. I started by using seat of the pants
dimensions. I had some success, and liked the structural integrity of the connectors I
managed to make, I quickly found that more precision was needed. Using Google I
found
several methods that were helpful in understanding the math, but most
approached the subject from a different perspective than I needed.
The tool contains a definition tab which contains definitions
and explanations for all the parameters and measurements.
Calculations can be seen by selecting the calculations tab.
The math is accomplished by using the built in VBA capability of
Excel.
A table provides measurements for setting up the jig used for
cutting the staves. It also gives the dimensions of the blanks
which the staves are cut from.
Imagine a tube made from multiple flat pieces of wood. Each piece has beveled
edges so when placed together form the tube. Then imagine a tube of the same
construction except that the opening on one end is larger. This article is about
making the pieces (staves) that when put together will make these shapes. These
shapes are called a conical frustum and a cylinder. Splayed Joinery is all about
making compound cuts to creating the many identical pieces that will assemble into
these shapes.