Fulcrum point loads

  • Context: High School 
  • Thread starter Thread starter rodgthedodge
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Discussion Overview

The discussion revolves around calculating the additional weight applied to the rear axle of a motorhome when adding an ebike to a rear carrier. Participants explore the implications of this added weight on axle distribution and the overall weight calculation methodology.

Discussion Character

  • Technical explanation
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant questions whether the counterbalance weight (CBW) should simply be added to the rear axle weight calculation.
  • Another participant clarifies that adding the ebike will increase the rear axle weight by more than the bike's weight and decrease the front axle weight by less than the bike's weight.
  • A suggestion is made to consider adding a counterweight further forward or improving the rear suspension to mitigate the effects of the added weight.
  • A detailed calculation is provided by a participant, indicating that the additional load on the rear axle from the ebike is approximately 57 kg, derived from summing moments around the front wheels.

Areas of Agreement / Disagreement

Participants express differing views on how to approach the weight calculation, with some agreeing on the need for a moment-based analysis while others question the assumptions made in the calculations. The discussion remains unresolved regarding the best method to accurately account for the weight distribution.

Contextual Notes

There are limitations in the assumptions made regarding the distribution of weight and the specific distances used in the moment calculations. The discussion does not resolve how these factors may affect the overall accuracy of the weight calculations.

rodgthedodge
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I have a motorhome and I want to calculate the extra weight I am applying to my rear axle by adding my ebike to the rear carrier. I have searched and found a counterbalance formula (added in the image) my question is do I just add the CBW to the fulcrum point. i.e rear axle weight calculation = 1900kgs +35kgs+21.85kgs new rear axle weight = 1956kgs, confused? confused.
cbw.jpg
 
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Welcome to PF.

Adding the 35 kg ebike to the rear will add more than 35 kg to the rear axle.
It will also reduce the weight on the front axle by less than 35 kg.

What are the axle weights now ?
 
Welcome, @rodgthedodge !
Can you add the counterweight further forward?
Any way to improve the rear suspension?
 
rodgthedodge said:
I have a motorhome and I want to calculate the extra weight I am applying to my rear axle by adding my ebike to the rear carrier.
Your calculation is correct, but confusing. Since you only want to calculate the extra weight from the ebike, you can ignore the weight of the motorhome. We do this by summing moments. A moment is a force multiplied by the distance from that force to a point. We can put that point where we want, so we choose that point so as to make the calculation as easy as possible. Since we want to find the extra weight on the rear wheels, that point will be the front wheels. The free body diagram then looks as follows:
Ebike FBD.jpg

The moment for the ebike is 6.5 m X 35 kg = 227.5 kg-m. The rear wheel load is unknown, but shown in the opposite direction, so we name it F, and the moment is 4 m X F = 4F kg-m. The sum of moments equals zero, so 227.5 - 4F = 0. Solve for F, and F = 227.5 / 4 = 56.875 kg. Round to the nearest kg, and the additional load is 57 kg. You can add that to the weight on the rear wheels to get the total weight on the rear wheels with the ebike.
 

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