Calculating a force

Hello, I need your help.
I have a 16 ton tube for a Ø2500mm inclined at 3° with a rotation of 50rpm.
I have to place a retaining roller at the end of the tube to block its translation due to its movement and the force of gravity
I have 2 questions.
1= what is the force at the end of the tube for a roller in the center.
2= what is the force at the end of the tube for 2 rollers spaced 50° apart.
Thank you for your help

How is it rotated driven? Motorized rollers such as a turner?

The tube is placed on 4 wheels, one of which is motorized.

Hello;

Weight (P): P = m * g = 16000 kg * 9.81 m/s² = 156960 N
The component of the weight parallel to the inclined plane: F = P * sin(3°) = 156960 N * 0.0523 = 8209 N

So for a single roller placed in the center of the tube, its holding force is equal to the component of the weight parallel to the inclined plane:
Force for a Pebble = = 8209 N

For two rollers spaced 50° apart, the force will be distributed between the two points of contact. We can use the formula for the resultant forces to calculate the force on each roller:

F_retenue_2 = F / (2 * cos(25°))
F_retenue_2 = 8209 / (2 * 0.9063) = 4528 N per roller

The total holding force will therefore be 4528 N * 2 = 9056 N, slightly higher than the configuration with a single roller due to the distribution of forces.

=> I would add the need to add a safety factor on these rollers to compensate for the centrifugal forces generated by the rotation of the tube...
Without knowing the materials involved, it is not easy to calculate the friction forces.

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Thank you very much.
here is the reference of the pebble used
polyamide roller GSPO 252/50K Load 6000 daN

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BLICKLE is a good supplier, quality products.
No comment on the model chosen.
On the other hand, if I may say so, I would have reversed the side of the stop for adjusting the position of the plate rollers, because once adjusted - the thrust forces being still not negligible, perhaps there will also be vibrations (linear speed of 400m/min) - it will be easier to position calibrated shims between the support and the plate. A guarantee of rigidity and stability over time.

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Thank you for your proposal.
But it's hard to change the position because I don't have a place.
image
the roller is fixed from below
image
the adjustment is done with an M20 screw knowing that in rep1 you are tapped.
image

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@OBI_WAN who struggles with the Force :astonished: This world goes live total!

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pfffff the dark side is showing up :rofl:
image

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Thank you to all the speakers for your participation.
May the force be with you.

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