anyone know the formula for determing the radius for an unknown curve based on the length of chord and the depth of curve. I’ve got a series of arched openings to layout and the span for each is a little different, of course for looks the peak of each curve and the end points need to be of consistent relative elevation
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Try this: ( C squared divided by 8M ) + ( M divided by 2 ) = R
Where C = chord length
M = height (depth of curve )
R = radius
Is this what your looking for?
http://ca.geocities.com/web_sketches/circle_calculators/circular_arch/circular_arch.html
Builder, you say "radius" so it sounds like your arch is circular and I think that's the calculator you are looking for. Good thing I looked at the text in the link posted by QCInspector ... almost posted that again! :)
There links to web based calculators for other curves at my Online Math Notes and Diagrams home page (scroll down to "Calculators").
Joe Bartok
Edited 9/16/2006 1:21 pm ET by JoeBartok
Edited 9/16/2006 1:56 pm ET by JoeBartok
thanks much for the help great web site