Calculating steering rack axial forces?

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thiru
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Hello

I tried to calculate the minimum force needed to apply on the knuckle to make a turn.

The important factor is the normal load (due to the weight of the vehicle) when the vehicle is not moving. I know the kingpin angle, scrub radius, knuckle arm, caster. But I am not sure how to proceed forward. Any help will be appreciated.
 
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Look for self-aligning torque:

SAT.jpg