Method: This is the most common and arguably easiest curve to achieve. You'll need a string, a pencil, and two nails.
Drive a nail at each end of the gate's top width where you want the curve to begin and end.
Tie the string to each nail, leaving slack to create the desired curve depth.
Hold a pencil taut against the string and swing it across the gate top, drawing the arc.
Formula: While not strictly necessary for this method, the underlying math involves the circle's radius and circumference.
2. The Elegant Ellipse
Method: This creates a more elongated, oval-like curve. You'll need two nails, a string, and a pencil.
Mark two points along the gate's width, these will be your focal points (the closer together, the more subtle the ellipse).
Drive a nail at each focal point.
Loop the string around both nails and hold the pencil taut within the loop.
Move the pencil around, keeping the string taut, to draw the ellipse.
Formula: The ellipse is defined by its major and minor axes (the longest and shortest diameters). The formula involves these axes and the distance from a point on the ellipse to the two focal points.
3. The Flexible Spline Curve
Method: This offers a freeform curve, allowing for more artistic expression. You'll need a flexible strip of wood (a thin lath or spline), weights, and a pencil.
Place the spline along the top of the gate where you want the curve.
Use weights (or clamps) to hold the spline in place at key points to define the curve's shape.
Trace the curve of the spline with a pencil.
Formula: Splines can be mathematically represented using piecewise polynomial functions, but the practical application for a fence gate relies more on visual shaping.
4. The Dramatic Ogee
Method: This creates an S-shaped curve, adding a more intricate detail. It can be achieved by combining two opposing arcs or using a flexible template.
Two Arcs: Draw two arcs with different radii, one curving upwards and the other downwards, meeting at a tangent point to create the S-shape.
Template: Create a template with the desired ogee curve and trace it onto the gate top.
Formula: The ogee curve can be represented by various mathematical functions, including combinations of circular arcs or Bézier curves.
Important Notes
Scale and Proportion: Consider the overall size and style of your gate when choosing a curve. A subtle curve may be better for a smaller gate, while a larger gate can handle a more dramatic curve.
Wood Selection: Choose wood that is flexible enough to bend if necessary for your chosen curve (for spline curves or very pronounced arcs).
Safety First: Always wear appropriate safety gear when working with tools and wood.
I hope this list provides you with plenty of options to create a beautiful and unique curved top for your wood fence gate!
