Automotive Calculating geometry for single pivot arm

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The discussion focuses on calculating the geometry for a single pivot arm suspension for a light electric vehicle. The user is specifically working with a Fox Float Air Shock and seeks guidance on achieving a linear or slightly progressive suspension geometry. They are interested in understanding how to adjust the progression of the geometry when using different shock absorbers. The conversation references race car suspension principles, including calculations for spring rate and motion rate. Overall, the user is looking for practical advice on designing an effective single arm suspension system.
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Hi, Guys, I am building light electric vehicle for fun and hobby.

I am experimenting with stuff, but have some difficulty calculating a reasonable geometry for the suspension.

It is a SINGLE arm suspension and I am planing to use Fox Float Air Shock with length 190mm, it has pressure control and compression and rebound adjustments. Progressive behavior.

I am attaching a picture with explanation what I am trying to achieve, if somebody can point me in direction how to calculate a linear or slightly progressive geometry I will be super grateful! Also, how to control and change, the progression of the geometry, if I decide to use another type of absorber.

It is NOT meant to be multi linkage geometry, only one rocking part, pretty much a triangle - axis of rotation, travel point and the last point where I mount the shock, which I am looking to calculate somehow.

Thanks a lot :)

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