Is there a formula for bell cranks where I am using a linear movement from a cam follower and linkage on the input to a bell crank that is translated to rotational movement. The output of the bell crank moves a pin in the ark of the output radius. I then use just the "X" movement of the pin to move a table. I need more movement on the "X" and want to make a bigger radius on the output of the bell crank. I can't change the input radius. My mind is saying that at the extremes of input movement the "X-only" movement gets funky and falls off of input/output ratio because of "Y" motion of the pin. It seems that if I keep in the 45 deg. range it works out to input. Is there someway of predicting the "X-only" movement of a bellcrank at whatever angle? Or, does the fact that the input is translated from linear movement to rotational movement them to linear movement cancel the funky stuff going on at the ends of the strokes?
This has turned to mush for me and I need to be educated.