Hi folks,hopefully I successfully solved problem www.scsurveyjac.org/16.html results as follows:Degrees of curves are equal at 50 degrees
Tangent distances_T1=93.26,T2=139.89
Curve lenghts: PC-PRC=174.5,PRC-PT=261.8
Chord lenghts:PC-PRC=169.047,PRC-PT=253.6
Reference "Surveying" by Bouchard and Moffitt 6th edition page 381.
Your feedback would be much appreciated,thanks much.
Sincerely,
Mike Burkes
626-833-1521
Also regarding problem my graphic and mathematical solutions seem to be in general agreement and 200 and 300 feet are the curve radii and the given 500 feet is distance from P to O. Thanks.
Mike Burkes
626-833-1521
Curve calculations
The 50 degree value is the delta, not the degree of curve. I agree with your numbers.
There are more things that can be calculated for the curves, like chord bearing, tangent bearing, External, Mid-ordinate, sector area, degree of curve by both definitions, etc. And you could calculate coordinates for 4 points relative to one assumed point.
But I must be missing the point. At first glance it looks like you can just plug given numbers into the standard equations and get the answers. Those JAC problems are usually trickier than that. The only tricky thing I see here is the definition of "All".
I'll plug my handy-dandy curve calculator here. It calculates everything from the last two entries (the dots mark which are used as given).
https://dl.dropboxusercontent.com/u/25124076/CurveCalc.exe
If I didn't make any mistakes...
If I didn't make any mistakes...
Thanks Dave and Bill93 for your input my add'l results are in agreement with you folks. Bouchard and Moffitt was the only book that had the complete reverse curve diagram. Waiting for JAC's answers and will post when able.
Mike Burkes
626-833-1521