Conic Bi-Rail Face
Insert
Shape (Advanced)
Use this command to create a face with conic
cross-sections between two path curves. The
radii of the cross-sections are determined by the creation method.
This radius defines a circle that intersects both boundary curves. Tangent lines to the circle at the intersection points, along with a conic ratio, define the conic cross-sections.


Consider the cross-section of a conic curve/curve face shown
below. A
circle with radius R passes through boundary curve points B1
and B2. The
conic ratio is applied based on the tangent lines at B1 and B2
that intersect at point T1. Point
S1 is the shoulder point of the conic. Point S1 is located
by applying this conic ratio (CR):
Distance from S1 to line B1-B2 = CR * (Distance from T1 to line B1-B2)
Required
Inputs (Method = Constant)
Use this method to create a face with constant conic cross-sections between the two path curves. The cross-sections are defined by a constant radius R and a conic ratio CR as shown above. Refer to the figure at the top of this page.
A brief operational sequence is provided below.
Select the Constant Method and then select the 1st and 2nd path curves. You can use wireframe geometry, face edges, a sketch or a curve list.
Enter the constant radius. You can enter a variable name or right-click and choose additional input options such as a dimension value or an expression.
Enter the conic ratio between 0.0 and 1.0 or accept the default value of 0.5.
Multiple solutions will be displayed. Enter the solution number.
Required
Inputs (Method = Variable)
Use this method to create a face with variable conic cross-sections between the two path curves. The cross-sections are defined by a variable radius R and a conic ratio CR as shown above. The variable radius R is defined by radius attributes.
Use the Add Radius option (see below) to add radius attributes at desired locations along the spine curve before continuing. The radius attributes will determine the variable radius of the face.
A brief operational sequence is provided below.
Select the Variable Method and then select the 1st and 2nd path curves. You can use wireframe geometry, face edges, a sketch or a curve list.
Enter the conic ratio between 0.0 and 1.0 or accept the default value of 0.5.
Select the spine curve with radius attributes. A start tag is automatically placed at the end of the curve nearest where the curve is selected.
Multiple solutions will be displayed. Enter the solution number.

Optional Inputs (Method = Variable)
Add Radius
Use this option to add a radius attribute to a point on the spine curve to control the radius of the face as it moves along the path curves. Select the curve, point and enter the radius. This option is used with the Variable method above.
You can use the Radius locally flat option to mark the radius as "flat." Radius transitions between "flat" attributes are forced to be linear. Use the Delete Radius option below to remove an attribute. Follow the sequence below to ad a radius attribute. The attribute symbol "Rn" is placed at the point on the curve.
Delete Radius
Use this option to delete a radius attribute at a point on the spine curve. This will remove the constraint on the face at that point as it move along the path curves. This option is used with the Variable method above.
Required
Inputs (Method = Shoulder)
Use this method to create a face with conic cross-sections between the two path curves. The cross-sections are defined by the computed radius R and the conic ratio CR as shown above and a shoulder curve as shown below.
A brief operational sequence is provided below.
Select the Shoulder Method and then select the 1st and 2nd path curves. You can use wireframe geometry, face edges, a sketch or a curve list.
Enter the conic ratio between 0.0 and 1.0 or accept the default value of 0.5.
Select the shoulder curve. A start tag is automatically placed at the end of the curve nearest where the curve is selected.

Required
Inputs (Method = Tangent)
Use this method to create a face with conic cross-sections
between two path curves using a tangent curve and a conic ratio as described
below. This
option does not work with parallel faces.
A conic ratio (CR) is applied based on the relationship
between the tangent curve and the path curves. Consider
the cross-section shown below. Lines
are drawn from points B1 and B2 to the intersection point
of the tangent curve, point T1. The
shoulder height, S1, is calculated based on the formula:
Distance
S1 = CR * (Distance from
T1 to line B1-B2)
The conic curves at each cross-section are created based on the tangent curve and conic ratio and are joined to form the fillet. The fillet is only created where points of common intersection are determined on the tangent curve and both path curves.
A brief operational sequence is provided below.
Select the Tangent Method and then select the 1st and 2nd path curves. You can only select open edges or parting line curves.
Enter the conic ratio between 0.0 and 1.0 or accept the default value of 0.5.
Select the tangent curve. A start tag is automatically placed at the end of the curve nearest where the curve is selected.

Required
Inputs (Method = Intersection)
Use this method to create a face with conic cross-sections
between two path curves using a tangent curve and a shoulder curve as
described below.
A conic ratio is determined and applied based on the relationship
between the tangent curve, path curves, and shoulder curve. Consider
the cross-section shown below. Lines
are drawn from points B1 and B2 to the intersection point
of the tangent curve, point T1. The
shoulder height, S1, is located at the intersection of the shoulder
curve.
The conic curves at each cross-section are created based on the tangent curve and shoulder curve and are joined to form the fillet. The fillet is only created where points of common intersection are determined on the tangent curve, both path curves, and shoulder curve.
A brief operational sequence is provided below.
Select the Intersection Method and then select the 1st and 2nd path curves. You can use wireframe geometry, face edges, a sketch or a curve list.
Select the shoulder curve. A start tag is automatically placed at the end of the curve nearest where the curve is selected.
Select the tangent curve.

Required
Inputs (Method = Center)
Use this method to create a conic face between two path curves
using a center curve and conic ratio as described below.
A conic ratio (CR) is applied based on the relationship
between the center curve and the two path curves. Consider
the cross-section shown below. Lines
R1 and R2 are drawn from points B1 and B2
to the intersecting point on the center curve C1. Tangent
lines normal to R1 and R2 are then drawn from B1
and B2 to a point where they intersect at T1. Point
S1 is the shoulder point of the conic located by applying the conic
ratio (CR):
Distance
from S1 to line B1-B2 = CR * (Distance from
T1 to line B1-B2)
The conic curves at each cross-section are created based on the tangent lines and conic ratio and are joined to form the fillet. The fillet is only created where points of common intersection are determined on the center curve and both path curves.
A brief operational sequence is provided below.
Select the Center Method and then select the 1st and 2nd path curves. You can use wireframe geometry, face edges, a sketch or a curve list.
Select center curve. A start tag is automatically placed at the end of the curve nearest where the curve is selected.
Enter the conic ratio between 0.0 and 1.0 or accept the default value of 0.5.

Required
Inputs (Method = Tangent Edges)
Use this method to create a conic bi-rail face tangent to two existing face edges. A brief operational sequence is provided below.
Select the Tangent edges Method and then select the 1st and 2nd path curves. You can use wireframe geometry, face edges, a sketch or a curve list.
Select center curve. A start tag is automatically placed at the end of the curve nearest where the curve is selected.
Enter the conic ratio between 0.0 and 1.0 or accept the default value of 0.5.
Conic ratio
Enter the conic ratio. Refer to the description section at the top of this page. Enter a value between 0.0 and 1.0. The default value is 0.5.
Spine
The face is created by moving an infinite plane normal to and from the start to the end of a spine curve.
As shown in the figure, the conic curves at each cross-section along the spine curve, which vary based on the creation method, are joined to form the face. The face is only created where the infinite plane intersects the spine curve and both path curves.

Add/Delete Radius
Refer to the Variable Method above.
Any time a curve is requested for input during this command, you can right-click and select Make Curve List from the Input Options Menu. This will allow you to make a parametric list of existing curves to use as input.