Is my stud length D4002-10BP correct when Gasket D40G11-3K for rattle and noise absorption is used?

Answer:

your current situation:

panel preparation for 4002 series stud installation

in your case:
P = 3,175mm
P1 = 2mm ; P1 is the panel thickness that determins the grommet,  1,65<P1<2,4 which would mean you need grommet 4002-OS & retaining ring V40G26-1N

However...
since you use gasket: D40G11-3K ; you need to add 0,5mm ; (the inner diameter of the grommet measures 11,1mm ; the inner diameter of D40G11-3K measures 11,2mm;  which means you have P1 = 2,5mm ; which means 2,4<P1<3,2 ;  you need gromet D4002-P-BP

the gasket, itself when compressing manually, I could compress it maximum to 0,3mm. so it could be that you are still able to install the grommet 4002-OS together with the D40G11-3K ring.

Furthermore, you need to consider that your panel thickness formula G = P + F needs to be increased also with 0,5mm.  (minimum 0,3mm when D40G11-3K gets compressed)
this means   3,175+ 0,5 + F = G
you currently have stud length 10 installed together with a type 3 receptacle (V50R1-1-1BP)

If you do not add the 0,5mm or 0,3mm, spring pre-load is higher because the spring get's 0,5mm or 0,3mm more compressed.

not knowing your Frame thickness, it can be maximum F = 15,00-0,3-3,175= 11,325mm
not knowing your Frame thickness, it must be minimum F = 14,20-0,5-3,175= 10,525mm
If you have a bigger frame thickness, you'll need to switch to length number 11

you can easily modify your current production by removing 0,5mm from the thickness of the frame, or just void to install the D40G11-3K

please do also verify the roughness of your material, it could be that there are tolerances on the surface finish, brambels,.. which add also extra thickness.