Snap Fit Design - Insertion Force and Bending Force

[JO Engineering]

Anyone can help on how this equation is derived?

Thank you

 

[SWComposites]

Where is mu defined?
Seems like there should be more equations that use all of the variables.
Where did your equation come from?

 

[JO Engineering]

Where is mu defined?
Seems like there should be more equations that use all of the variables.
Where did your equation come from?

Hi,

Friction is along the angled surface.

This equation from the snap fit design on fictiv.

 

[JO Engineering]

 

[JO Engineering]

Another reference.. slightly different equation

 

[HTURKAK]

Draw the FBD of inclined surface and write the equations of equilibrium ,
- μ is the friction btw the contact surfaces ,
- N is the vertical component to the inclined surface of P
Sum of the forces on X axis ;
Σ F x =0 = Fi- μN*Cos (α)- N*Sin (α) >>
Sum of the forces on Y axis ;
Σ F y =0 = N*Cos (α)- μN*Sin (α) -P
Combine these two equations and get the force F

Fi= P ( μ*Cos (α) + Sin (α) )/ ( Cos (α)- μ*Sin (α))
Then divide nominator and denominator to Cos (α)

Fi= P ( μ +TAN (α) )/ ( 1 - μ* TAN (α))

I could not find the mistake but this should be the way to derive.

P.S . = I assumed the driving force is Fi.