Slider-Crank Mechanism for Long Stroke

Crank length: a
Conrod length: b
Eccentricity of the slider crank mechanism: e
(distance between rotary axis of the crank and line tracing by a point on axis of the slider pin)
Key factor for this mechanism: e = b – a
Stroke length of the slider: L = 4.sqrt(a.b)
So theoretically, with a given crank of constant radius a, it is possible to get the stroke length L as long as desired by increasing the conrod length b.Here: a = 30 ; b= 60 ; L = 169.7
Working cycle corresponds with two revolutions of the crank.
Green curve is locus of the conrod middle point.
Dead position: when crank and conrod are in line.
This mechanism is numbered as 175 in the book “507 mechanical movements”, 1868.