Creating Cones - Grizzly G0971 Owner's Manual

Creating Cones

Bending cones requires more advanced equa-
tions and techniques than cylinders. The following
section explains the basic principles for bend-
ing a truncated, concentric cone. If you require
information for bending more complicated cones,
please consult outside training, books, and other
research.
Similar to the process for bending cylinders, if
you know the two diameters and the height of the
cone you want to create (see Figure 39), you can
use those values to determine the dimensions of
the initial, flat workpiece before bending.
Figure 39. Example of known cone dimensions.
The Model G0971 can bend cylinder and cone
diameters as small as 3". Since a "true" cone
requires one of the diameters to equal 0", figures
and steps in this section refer to a "truncated
cone", or a cone lacking an apex whose top is
parallel to the base (see Figure 40).
Truncated Cone
Figure 40. Example of a truncated and true
cone.
Model G0971 (Mfd. Since 11/23)
True Cone
There are 5 values you will need to calculate in
order to cut a flat workpiece that will bend into
a functional cone: LargeC, SmallC, RadiusH,
TConeH, and TConeRadiusH.
LargeC and SmallC
Use the following formulas to calculate the
circumference of both cone openings.
LargeC=
SmallC=
LargeC=Large Circumference
(Arc Length of Material Needed at Larger End)
SmallC=Small Circumference
(Arc Length of Material Needed at Smaller End)
π
=Pi (Approximately 3.14)
LargeD=Large Diameter
SmallD=Small Diameter
Large Circum.
Small Circum.
Figure 41. Location of small and large
circumference of flat workpiece.
Example: Suppose you want to create a cone
with a 5" diameter at one end and a 3" diameter
at the other end. You would use the circumference
formulas as follows:
π
LargeC= LargeD
LargeC=3.14 x 5"
LargeC=15 ⁄ "
11
16
π
LargeD,
π
SmallD
π
SmallC= SmallD
SmallC=3.14 x 3"
SmallC=9 ⁄ "
7
16
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