• it's more complicated

    And that's before you even throw in the preloads and components which are not fully kinematically constrained.

  • Isn't it more the case that because there are a lot of parts that are kinematically constrained (though in complicated ways), the entire system (once you take into account the spokes) becomes massively overdetermined, which is what makes the exact load calculations so difficult?

    But then also when you want to get into the details, you need to take into account second order effects because it's not actually a rigid body system, rims and spokes etc. can flex as well.

  • Isn't it more the case that because there are a lot of parts that are kinematically constrained (though in complicated ways), the entire system (once you take into account the spokes) becomes massively overdetermined, which is what makes the exact load calculations so difficult?

    I'd say so, yes. So it's easier, rather than trying to model the individual components of the wheel, to work on the basis that you have a decelerative force at the contact patch and this is being resolved by the wheel as a whole to the axles, which are the only parts of the wheel system rigidly attached to the frame and forks. The only things connecting the axle and the contact patch is the spokes, so for the same decelerative effect at the contact patch and the same number of spokes the average spoke loading must be roughly the same.

  • Isn't it more the case that because there are a lot of parts that are kinematically constrained (though in complicated ways), the entire system (once you take into account the spokes) becomes massively overdetermined

    Yes, if you simplify your model to fix all the joints and treat the materials as inelastic, and as you say if you model it realistically you have to consider that the shape changes under load, and that alters the way the load distributes among the different components. A radially-laced front wheel is neither circular nor radially laced once you load it, whether that's rim brake loads or just pushing down on the axle and up on the tyre contact patch.

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