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The quick way to figure intersecting grades?

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SCsurvey
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Had a curve ball thrown to me today about an hour before leaving a road way construction site. The local city inspector asked for a change to a driveway to remove an existing hump that was causing cars to drag. This was to be a field fit that was not included in the plans.
What he wanted to do was lower the sidewalk 3 inch's then from the back of the sidewalk slope the driveway up at 12:1 to meet the existing grade that was falling away to a drop inlet. I shot the drop inlet and the edge of the existing sidewalk and calculated an existing -2% grade. The only thing left was how far back to saw-cut and remove the existing drive so as not to exceed a 8.3% (12:1) grade. Did it with a level by hunt and peck quick enough, but I know there is a formula in a rusted up file drawer in the back of my brain I am forgetting.

Can someone help jog my memory on this.


 
Posted : July 2, 2014 8:55 pm
dave-karoly
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(0.25/((1/12)+0.02))=2.42' horizontal.


 
Posted : July 2, 2014 9:43 pm
dave-karoly
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Personally I would go back 6.25' so that you have 2% up to meet the 2% down with a less abrupt transition.

Formula:
(VertD/(slope1-slope2))=horizontalD.

Pay attention signs of the slopes.


 
Posted : July 3, 2014 5:19 pm
paden-cash
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Isn't that the formula to find the P.I. of a vertical curve?


 
Posted : July 3, 2014 5:25 pm
SCsurvey
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Thank you Dave it was driving me nuts.


 
Posted : July 3, 2014 6:01 pm

dave-karoly
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Yes, that's probably the recess of my mind that it came from, the mental vertical curve file.


 
Posted : July 4, 2014 7:20 pm