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Curve Solution
To calculate the full set of curve parameters when a curvature parameter and a length parameter are given:
- In the Input tab:
- Select one of the curvature parameters Radius/Chord Angle/Curve Angle and enter the value of it.
- Select one of the length parameters of the curve Delta/Length/Chord/Tangent/Mid Ord/External and enter the value of it.
- Observe the plot of the curve in the view window.
- Select the Right/Left direction of Turn relative to the starting point.
- Click the Calc button
to calculate the parameters of the curve.
- In the Results tab, review the results of the calculation and click
to save the data to a *.txt file, if required:
- Radius of the curve.
- Length of the curve.
- Chord is the distance between the starting and ending points (tangent points) of the curve.
- Curve angle defines the angle in degrees which is used to compute the radius of a curve with a length of 100 units.
- Chord angle defines the angle in degrees which is used to compute the radius of curve whose chord is 100 units long.
- Delta is the internal angle from center to tangent points.
- Tangent is the distance between the point of intersection of the tangents at the starting and ending points, and the ending point.
- External is the shortest distance between the point of intersection and the curve (along the line joining the point of intersection to the radius point).
- Mid Ord is the length of the line segment between the curve and the chord on the line joining the point of intersection to the radius point.
- Segment is the area of a circle bounded by a chord and the minor arc that it cuts off.
- Sector is the area of a circle bounded by two radii and the minor arc they determine.
- Fillet is the area between the arc of a circle and the two tangents at the end points of the arc.
- The Drawing tab shows the illustration for the results and supports generation of a field report with the results of calculation (use the Create Field Report command from the context menu).
Three Point Curve
To calculate the curve parameters when three points are given:
- In the Input tab, select points needed for calculations. Every point can be entered manually or selected from the map
or from the list
of the job points:
- Switch between PC Point (point of curvature) and RP Point (radius point) to enter the first curve point as required. Depending upon the first curve point chosen, you can define the curve by two different sets of points:
- Enter PC point, Curve point, PT point (point of tangency).
In this case, the coordinates of the RP Point will be calculated along with the curve parameters. The default name will be shown that can be changed. Select the code for this calculated point from the existing codes and, if required, click
to set the point's attributes. More....
- Or RP point, PC point, PT point.
In this case, the distance between RP point and PC point should be equal to the distance between RP point and PTpoint, and two curves can be created: a Small curve of 180 degrees or less and a Large curve of 180 degrees or more. From the Curve drop-down list, select which of these two curves should be used for computations.
- Click the Calc button
to calculate the curve parameters.
- In the Results tab, review the results of the calculation and click
to save the
data to a *.txt file, if required:
- North, East, Elev: the coordinates of the RP point.
- Radius of the curve.
- Length of the curve.
- Chord is the distance between the starting and ending points (tangent points) of the curve.
- Curve Angle defines the angle in degrees which is used to compute the radius of the curve with a length of 100 units.
- Chord Angle defines the angle in degrees which is used to compute the radius of the curve whose chord is 100 units long.
- Delta is the internal angle from center to tangent points.
- Tangent is the distance between the point of intersection of the tangents at the starting and ending points, and the ending point.
- External is the shortest distance between the point of intersection and the curve (along the line joining the point of intersection to the radius point).
- Mid Ord is the length of the line segment between the curve and the chord on the line joining the point of intersection to the radius point.
- Segment is the area of a circle bounded by a chord and the minor arc that it cuts off.
- Sector is the area of a circle bounded by two radii and the minor arc they determine.
- Fillet is the area between the arc of a circle and the two tangents at the end points of the arc.
- The Map tab shows the job's objects with the illustration for the results and supports generation of a field report with the results of calculation (use the Create Field Report command from the context menu).
- The Drawing tab shows the illustration for the results and supports generation of a field report with the results of calculation (use the Create Field Report command from the context menu).
PI & Tangents
To calculate the curve parameters when two tangents and the point of their intersection are given:
- In the Input tab, enter the data needed for the task:
- Select the PI Point (point of intersection of the tangents). It can be entered manually or selected from the map
or from the list
of the job points.
- In Az PI to PC, enter the azimuth from the PI point to the starting curve point (PC stands for the point of curvature; it is the beginning of curve).
- In Az PI to PT, enter the azimuth from the PI point to the ending curve point (PT stands for the point of tangency; it is the end of curve).
- In Radius/Curve Angle/Chord Angle/Tangent, enter the appropriate radius parameter of the curve.
- Enter the PC Point name and select the code for the calculated starting curve point.
- Enter the PT Point name and select the code for the calculated ending curve point.
- Enter the RP Point name and select the code for the calculated radius point.
- Click
to set the point's attributes if required. More...
- Click the Calc button
to calculate the curve parameters.
- In the Results tab, review the results of the calculation and click
to save the
data to *.txt file, if required:
- North is the northing coordinate of the PC/PT/RP points.
- East is the easting coordinate of the PC/PT/RP points.
- Elev is the height of the PC/PT/RP points.
- Radius of the curve.
- Length of the curve.
- Chord is the distance between the starting and ending points (tangent points) of the curve.
- Curve Angle defines the angle in degrees which is used to compute the radius of a curve with a length of 100 units.
- Chord Angle defines the angle in degrees which is used to compute the radius of the curve whose chord is 100 units long.
- Delta is the internal angle from center to tangent points.
- Tangent is the distance between the point of intersection of the tangents at the starting and ending points, and the ending point.
- External is the shortest distance between the point of intersection and the curve (along the line joining the point of intersection to the radius point).
- Mid Ord is the length of the line segment between the curve and the chord on the line joining the point of intersection to the radius point.
- Segment is the area of a circle bounded by a chord and the minor arc that it cuts off.
- Sector is the area of a circle bounded by two radii and the minor arc they determine.
- Fillet is the area between the arc of a circle and the two tangents at the end points of the arc.
- The Map tab shows the job's objects with the illustration for the results and supports generation of a field report with the results of calculation (use the Create Field Report command from the context menu).
- The Drawing tab shows the illustration for the results and supports generation of a field report with the results of calculation (use the Create Field Report command from the context menu).
Radius & Points
To calculate the parameters of a curve when the starting/ending points and the radius parameter of the curve are given:
- In the Input tab, enter the initial data for the task. The points can be entered manually or selected from the map
or from the list
of the job points.- Set the PC Point (point of curvature; it is the beginning of curve).
- Set the PT Point (point of tangency; it is the end of curve).
- In Radius/Curve Angle/Chord Angle, enter the appropriate radius parameter of the curve.
- Select the Left or Right direction of Turn, relative to the PC Point.
- Select the Curve in the circle that should be considered. The radius, and the PC and PT points define two curves: one with delta less than or equal to 180 degrees (Small curve), and the other with delta greater than or equal to 180 degrees (Large curve).
- The coordinates of the RP Point (radius point) will be calculated along with the curve parameters. The default name will be shown that can be changed. Select the code for this calculated point from the existing codes and, if required, click
to set the point's attributes. More.... - Click the Calc button
to calculate the curve parameters.
- In the Results tab, review the results of the calculation and click
to save the data to a *.txt file, if required:- North is the northing coordinate of the RP point.
- East is the easting coordinate of the RP point.
- Elev is the height of the RP point.
- Radius of the curve.
- Length of the curve.
- Chord is the distance between the starting and ending points (tangent points) of the curve.
- Curve Angle defines the angle in degrees which is used to compute the radius of the curve with a length of 100 units.
- Chord Angle defines the angle in degrees which is used to compute the radius of the curve whose chord is 100 units long.
- Delta is the internal angle from center to tangent points.
- Tangent is the distance between the point of intersection of the tangents at the starting and ending points, and the ending point.
- External is the shortest distance between the point of intersection and the curve (along the line joining the point of intersection to the radius point).
- Mid Ord is the length of the line segment between the curve and the chord on the line joining the point of intersection to the radius point.
- Segment is the area of a circle bounded by a chord and the minor arc that it cuts off.
- Sector is the area of a circle bounded by two radii and the minor arc they determine.
- Fillet is the area between the arc of a circle and the two tangents at the end points of the arc.
- The Map tab shows the job's objects with the illustration for the results and supports generation of a field report with the results of calculation (use the Create Field Report command from the context menu).
- The Drawing tab shows the illustration for the results and supports generation of a field report with the results of calculation (use the Create Field Report command from the context menu).
Spiral Solution
To calculate the parameters of a spiral when the starting/ending points and the radius parameter of the spiral are given:
- In the Input tab, enter the initial data to accomplish the task.
- In Spiral Type, select the type of the spiral to be calculated between two points of curvature change:
- TS To SC from a tangent to a circular curve.

- CS To ST from a circular curve to a tangent.

- CS To SC between two circular curves.

- In Radius/Curve Angle/Chord Angle, enter the appropriate radius parameter of the adjoining circular curve at the start point.
- In Radius/Curve Angle/Chord Angle, enter the appropriate radius parameter of the adjoining circular curve at the end point.
- Select one of the length parameters of the curve Length/Spiral Constant and enter the value of it.
- Enter the Azimuth of the tangent at the start point.
- Select the Left or Right direction of Turn, relative to the start point.
- Click the Calc button
to calculate the spiral parameters.
- In the Results tab, review the results of the calculation and click
to save the data to a *.txt file, if required:
- Type displays the type of the spiral.
- Length is the total length of spiral curve from Start Point to End Point (for all spiral type).
- Radius Out is the end radius of the spiral of TS to SC or CS to SC type.
- Radius In is the start radius of the spiral of CS to ST or CS to SC type.
- Turn is the direction of turn of the spiral. The Right value stands for clockwise direction and the Left value, for counter-clockwise direction (for all spiral type).
- Tangent In Azimuth is the azimuth of the tangent to the start point of the spiral (for all spiral type).
- Tangent Out Azimuth is the azimuth of the tangent to the end point of the spiral (for all spiral type).
- Spiral Constantis the spiral constant value. The spiral constant is the square root of the length multiplied by the radius of the spiral (for all spiral type).
-
Deg Curve defines the angle in degrees used to compute either the radius of the curve, whose chord is 100 units long. Using the degree of chord (DCH) parameter, the radius of the curve can be calculated as follows:
-
Deg Chord defines the angle in degrees used to compute either the radius of the curve whose length is 100 units long. Using the degree of curve (DCV) parameter, the radius of the curve can be calculated as follows:
- End Point X displays the northing coordinate of the end point of the spiral in the current coordinate system.
- End Point Y displays the easting coordinate of the end point of the spiral in the current coordinate system.
- The Drawing tab shows the illustration for the results and supports generation of a field report with the results of calculation (use the Create Field Report command from the context menu).
Traverse Curve
To calculate the parameters of a traverse spiral when the starting/ending points and the radius parameter of the spiral are given:
- In the Input tab, enter the initial data to accomplish the task.
- Enter the PC Point (point of curvature), the start point of the curve. The point can be entered manually or selected from the map
or from the list
of the job points.
- In Radius/Curve Angle/Chord Angle, enter the appropriate radius parameter of the curve.
- Select one of the length parameters of the curve Delta/Length/Chord/Tangent/Mid Ord/External/Spiral Constant and enter the value of it.
- Enter the Azimuth of the tangent at the start point.
- Select the Left or Right direction of Turn, relative to the PC Point.
- The coordinates of the PT Point (point of tangency) will be calculated along with the curve parameters. The default name will be shown that can be changed. Select the code for this calculated point from the existing codes and, if required, click
to set the point's attributes. More....
- Click the Calc button
to calculate the curve parameters.
- In the Results tab, review the results of the calculation and click
to save the calculated point to the points list or/and click
to save the data to a *.txt file, if required:
- PT Point is the name of the calculated point of tangency.
- North is the northing coordinate of the PT point.
- East is the easting coordinate of the PT point.
- Elev is the height of the PT point.
- PC Point is the name of the traverse point.
- Radius of the curve.
- Length of the curve.
- Chord is the distance between the starting and ending points (tangent points) of the curve.
- Curve Angle defines the angle in degrees which is used to compute the radius of the curve with a length of 100 units.
- Chord Angle defines the angle in degrees which is used to compute the radius of the curve whose chord is 100 units long.
- Delta is the internal angle from center to tangent points.
- Tangent is the distance between the point of intersection of the tangents at the starting and ending points, and the ending point.
- External is the shortest distance between the point of intersection and the curve (along the line joining the point of intersection to the radius point).
- Mid Ord is the length of the line segment between the curve and the chord on the line joining the point of intersection to the radius point.
- Segment is the area of a circle bounded by a chord and the minor arc that it cuts off.
- Sector is the area of a circle bounded by two radii and the minor arc they determine.
- Fillet is the area between the arc of a circle and the two tangents at the end points of the arc.
- Start Azimuth is the azimuth of the tangent at the start point of the arc.
- The Map tab shows the job's objects with the illustration for the results and supports generation of a field report with the results of calculation (use the Create Field Report command from the context menu).
- The Drawing tab shows the illustration for the results and supports generation of a field report with the results of calculation (use the Create Field Report command from the context menu).
Vertical
To calculate the following vertical curve parameters:
- elevation and chainage of the PVI Point (point of the vertical intersection),
- elevation and chainage of the PVC point (start point of the vertical curve),
- elevation and chainage of the PVT point (end point of the vertical curve),
- elevation and chainage of the Hi/Low point (the highest or lowest point of the vertical curve parabola),
- Curve Length - horizontal distance of the vertical curve between PVC and PVT points.
- In the Input tab:
- Select one of the curvature parameters Curve Length, or High/Low Elevation, or Point on Curve.
- Select either the start point of the vertical curve (PVC) or intersection point of vertical curve (PVI) and specify the chainage and elevation for the given point.
- Specify the Begin Grade and End Grade of the vertical curve.
- If you selected the Curve Length parameter — specify the Curve Length value.
- If you selected the Point on Curve parameter — specify the Pt. Station (chainage) and elevation of this point.
- If you selected the High/Low Elevation parameter — specify the elevation of the Hi/Low point.
- Specify the Find Station (chainage) to calculate the elevation of the point on the vertical curve.
- Click the Calc button
to calculate the parameters of the vertical curve.
- In the Results tab, review the results of the calculation and click
to save the data to *.txt file, if required:
- Curve Length of the curve.
- Begin Grade of the curve.
- End Grade of the curve.
- Station and Elevation for the PVC Point.
- Station and Elevation for the PVI Point.
- Station and Elevation for the PVT Point.
- Station and Elevation for the HI/Low Point.
- The Drawing tab shows the illustration for the results and supports generation of a field report with the results of calculation (use the Create Field Report command from the context menu).
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