The lines on my control line handle are 4.5" apart. I did the math on it and here are the results rotating the handle 10 degrees at a time.
10 deg............line pull .750".............movement 100%
20 deg............line pull .718".............movement 95.7%
30 deg............line pull .687".............movement 91.6%
40 deg............line pull .625".............movement 83.3%
50 deg............line pull .562".............movement 74.9%
60 deg............line pull .437".............movement 58.2%
The bellcrank and the elevator control horn operate on the same physics as the control line handle. The bellcrank that I tested was a Sig, 3.5" between control lines, 5/8" offset to the control rod.
10 deg............line pull .125".............movement 100%
20 deg............line pull .119".............movement 95.7%
30 deg............line pull .114".............movement 91.6%
40 deg............line pull .104".............movement 83.3%
50 deg............line pull .093".............movement 74.9%
60 deg............line pull .072".............movement 58.2%
The control horn has the control rod connected at 5/8" from the center of rotation.
10 deg............line pull .125".............movement 100%
20 deg............line pull .119".............movement 95.7%
30 deg............line pull .114".............movement 91.6%
40 deg............line pull .104".............movement 83.3%
50 deg............line pull .093".............movement 74.9%
60 deg............line pull .072".............movement 58.2%
The problem is compounded by a factor of 3 from the control line handle, bellcrank and the control horn which all reduce movement as they rotate. A round disk on the control line handle will correct only the movement of the control line handle but will do nothing to correct the bellcrank and the control horn.
It took me about 30 minutes to find a formula in my old college trig book, how to calculate the radius of a irregular shape curve. I came up with a radius for the control line handle that will add line pull at the same rate that its lost at the bellcrank and the control horn. Movement at the control line handle will be 1 to 1 ratio at the airplane elevator.
My first control line handle used a 4" disk. Control lines are 4" apart. As the handle rotates in either direction the control line spacing changes to about 5" giving it more line pull. My first test flight shows sensitivity flying straight and level has not changed. The airplane is much quicker to make a turn with a given amount of rotation on the handle.
My second control line handle uses a 3" disk. Control lines are 3" apart. As the handle rotates the control line spacing changes to about 4". Over all sensitivity is reduces. It is much easier to fly straight and level. The airplane turns very sharp when I want it to. I have plenty of movement in my hand and wrist to do manovers. I use to have a problem with not having enough movement in my hand and wrist to do a loop. Now its not a problem. The controls are no longer too sensitive flying level and I have lots of control doing manovers.
My control line handle is really stupid looking. Its heavy and aquaward but it works better than expected. I think some type of amplifier bellcrank would work better. The bellcrank needs to be designed to increase movement to make up for lost movement in the control handle and elevator control horn that way a normal control line handle can be used.
Gary Weaver
Steve