I have a 16' panel that I would like to bend it and attach each end to the ground to form an arch (basically I am making a garden trellis). I am trying to figure out for how wide it might be at the base, how high it would be at the peak. For example if the ends are 5' apart (making it 5' wide) how tall would it be. I have tried to find some kind of formula, but have only come up with formulas for circles in my search, which it is not. Thank you!
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Re: calculate the height of an arch
Originally posted by Unregistered View PostI have a 16' panel that I would like to bend it and attach each end to the ground to form an arch (basically I am making a garden trellis). I am trying to figure out for how wide it might be at the base, how high it would be at the peak. For example if the ends are 5' apart (making it 5' wide) how tall would it be. I have tried to find some kind of formula, but have only come up with formulas for circles in my search, which it is not. Thank you!
Subtract that from total length L, and divide by 2 for the height of the two straight sides.
h = (L  d*pi/2)/ 2
For L = 16 ft, d = 5, the arc is 7.85 ft curve, and each side height 4.07 ft.
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Re: calculate the height of an arch
Thank you so much! I was thinking of it more in terms of a parabola, as opposed to part of a circle with straight sides. You're right, I'll be using Tposts in the ground on the corners to anchor it. So if I am understanding correctly, the apex of my arch would be 7.85'?
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Re: calculate the height of an arch
Ok, I think I got it! The apex of arch would be the height: h=(Ld*pi/2)/2 plus the diameter?
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