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Reverse and Compound Curves



Having recently had a number of queries regarding reverse and compound curves, this tip will highlight methods for handling them.

 
The first point to note is that in any pair of reverse or compound curves the EC (or ETC) of the first curve must fall before the BC (or BTC) of the second curve. The separation can be as little as 1mm, but it must be there. Use the Review Alignment menu option and check the calculated chainages for the curves to ensure that the separation exists. In the following example curves 1 and 2 form a reverse curve pair while curves 3 and 4 form a compound curve pair.
 



 


 

Once you have the horizontal alignment defined you must generate the coordinated chainage points using the Coordinate menu option.

The vertical alignment is handled normally as the reverse or compound curves have no effect here, other than the fact that you might not want your vertical curves to fall within the horizontal curves.

Edge Levels is however the function with which most people trying to design reverse or compound curves have a problem.

If you enter your superelevation details by hand then you should have no problem in defining the details around the reverse or compound curves.

The other method of defining superelevation details, Slave Super, requires more work to handle the reverse or compound curves.

Before starting Slave Super take careful note of the PI numbers, BC and EC chainages of the reverse and compound curves in the horizontal design. When you start running Slave Super you are asked for some general information on road widths, crossfalls and templates.

 


 

Enter this information and click the OK button to continue.

From this point on Slave Super will present a dialog for each of the PI's in the horizontal alignment. This dialog will show the PI number being processed, the BC and the EC chainages. You will need to fill in the lengths over which superelevation should be applied, the percentage of superelevation before the BCC or after the ECC, and the super elevation to applied through the curve.

 


 

Proceed normally until you reach the first PI of a reverse or compound curve pair. Enter the BCC details normally. For the ECC of this PI enter the runout length and percentage development after the ECC as 0 and click the OK button to continue.

 


 

For the BCC of the second PI of the pair enter the development length in and the percentage development before the BCC as 0. Enter the ECC details normally and click the OK button to continue.

 


 

Carry on in this fashion until the Edge Level details are fully defined. You will now need to edit the Edge Level spreadsheet.

Looking through the spreadsheet you will find two pairs of entries for the ECC of the first PI of a reverse or compound curve pair and the BCC of the second PI. The chainage entries for the ECC of the first curve should be identical, as should those for the BCC of the second curve. In the following example lines 4 and 5 are for the ECC of the first curve of a reverse curve pair, lines 6 and 7 are for the BCC of the second curve of the pair, lines 12 and 13 are for the ECC of the first curve of a compound curve pair, and lines 14 and 15 are for the BCC of the second curve of the pair.

 


 

To set up for a reverse curve simply delete the first duplicate entry for the ECC, the second duplicate entry for the BCC, and set the left and right crossfalls to 0 for the remaining two lines. This will allow the development to pick up into the first curve, return to a neutral position at the end of this curve, continue the neutral line on into the second curve, and then reverse the superelevation in the second curve before returning to normal. In the case of a compound curve simply delete all four of the entries (two for the ECC of the first PI and two for the BCC of the second PI). This will allow the development to pick up into the first curve, continue the maximum development through into the second curve, and then drop down out of the second curve.

After carrying out the required operations on the Edge Levels spreadsheet, it will now look like this.

 


 

The reverse curve details are now on lines 2 to 7 and the compound curve details are now on lines 8 to 11.

All relevant details have been handled and you can now continue on as per usual.

 

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 Last Updated: November 02, 2005
Knowledge Base: Professional Civil Engineering & CAD Design Software

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