Force projection on inclined plane

Simulation Generality
1

Hello

 

I am once again calling on the community regarding a problem to calculate the resulting force during the translation of an inclined plane.

So I have a cylinder that transmits an F1 force of 19 DaN and this force is retransmitted to F2 thanks to the inclined plane at an angle to rub on a Ø6mm round.

The blue piece slides knowing that the upper edge of this part rubs on an HDPE plate.

Neglecting the frictional forces, what would be the force transmitted in F2 in order to be able to divide my 4 springs allowing the tablet to rise when the cylinder returns?

 


effort_plan_incline.jpg
2

Hello!

So like that in the heat of the moment (so to check, I did it in my head)

The idea is to project the force F1 on the normal of your inclined plane that I call F1' and then project F1' on a vertical axis to find F2.

So, F1' = F1*cos(pi/2-a)

and F2 = F1'*cos(a) = F1*cos(pi/2 - a)*cos(a)

so F2 = F1*sin(a)*cos(a)

Check what I'm saying of course! There is also certainly a need to take into account the number of inclined planes!

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3

Hello

No better, the reasoning is good after checking. 

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4

Hello

By building to scale we can use the good old graphic methods!!

All we have to do is make a right triangle horizontally, we at F1, vertically F2 and the resultant normal to the support surface.

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5

+1 with Frederic! graphical resolution with a sketch.

 

I don't have all the data, but it seems that your problem is hyperstatic, right? not sure that you have 2 identical F2 forces. With the manufacturing tolerances, the inclined planes will not be in contact at the same time.

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6

This is also the formula that one of my colleagues had given me but I wanted a counter-expertise!

For hyperstatism, yes and no, since the springs slightly compensate for this hyperstasis by placing the inclined surface always in contact with the circle.

Thank you

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