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I am in the process of designing and building an arch between two columns that will act as an arbor for a wisteria vine. Does anyone know of a text that can help with the geometry? The last geometry I did was shortly after the Greeks finished up their last book. Thanks..Paul
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A quick on-site method for a flattened arch is to hammer two nails in plywood a set distance apart. Make a loop of string larger than the distance between the nails. Place the loop over the nails and then insert a pencil in the loop and rotate around the nails keeping the string tight. See what shape it makes and then adjust the nails and string for your desired arch. You can then cut the final shape as a template.
*Paul,The math for determining the radius for the arch that you want to build is fairly easy. You don't need a book.1) Measure the opening. For example, let's say the opening is 10' 6".2) Determine the arch height. The arch height is the vertical measurement from where the arch begins to the top of the arch. For example, let's pick an arch height of 24".3) Take one-half of the opening and square this measurement. One half of 10' 6" = 63"63 X 63 = 39694) Divide the answer in 3) by the arch height.3969 divided by 24 = 165 3/8"5) add the arch height to the answer in 4)165 3/8" + 24" = 189 3/8". This is the Diameter of the circle for the arch.6) Divide the diameter of the circle by 2 to get the radius of the circle.189 3/8" divided by 2 = 94 11/16"There are a variety of different ways to write this as a mathematical formula. They all amount to the same thing, and result in the same answer.If you have any problems, post another message.
*PaulThis method can give you a fairly attractive arch that will be gently curved near the center, then more sharply curved towards the ends. A few trials on paper with different numbers will probably get what you want.From the top of a corner, put dots down the vertical edge one inch apart (or some other equal spacing). Call them points 1 2 3 4 5 etc.From the same top corner, put dots along the horizontal edge, say about 5 inches apart until you get to the center. Actually, you will have to use something different from 5 inches to get it to come out exactly even. Call the center point A, and the others B C D E etc till you get back to the corner.Now with a straight-edge, join A to 1, B to 2, C to 3, and so on, and these lines will give you a curve (actually a bunch of straight segments). Experiment with the spacings on a piece of paper until you get a shape you like, the do it full scale on the work piece.Jay
*A=pie R square.........pie are not round.......Radius= 1/2 diameter2+2=4 unless outcome based education ther froe 2+2=Pie are round
*pie are round , cornbread are square
*brian3006, chuck a crawford,6 weeks in jail with Hope to study AKC Carpentry. Mandatory attendance to 3 2-hour lectures/day.No probation.
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I am in the process of designing and building an arch between two columns that will act as an arbor for a wisteria vine. Does anyone know of a text that can help with the geometry? The last geometry I did was shortly after the Greeks finished up their last book. Thanks..Paul