Wall thickness calculation based on contact pressure

Question

Wall thickness calculation based on contact pressure

Abhiram G J (Mechanical)

(OP)

13 Jan 21 12:06

Hello,

I'm working on a force transmission calculation where a 22mm diameter pin is assembled into a 24mm diameter hole. If you visualize a 22mm circle within a 24mm hole, the pin is pushed radially by a certain force so it pushes against the wall of the hole. Can anyone please help me calculate the required wall thickness around the 24mm dia hole to withstand this force? I can calculate the contact pressure at the interface, but how do I use that to arrive at the wall thickness needed? Or will a simple calculation of equating the allowable stress to the force divided by the load bearing area (determined by multiplying the depth of the hole by the wall thickness) suffice?Thanks for any help you can provide.

goutam_freelance (Mechanical) · Answer 1 · 2021-01-13 17:34:57

Refer Table 14.1 case No 2 of Roark.

In addition to the pressure force, D_1, D_2 and length of cylinder L are the parameters.
But you need to check the tearing of plate (with hole) under tensile load also to check with the member failure stress.

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Abhiram G J (Mechanical) · Answer 2 · 2021-01-15 05:36:09

Goutam, thank you for your reply.
Yes, I realize I'll need to check for the tearing of the plate. My question is, how? Do I take the calculated contact pressure and put it into thick/thin (depending on wall thickness) cylinder equations to estimate the hoop stress? Will that suffice? And lastly, will the thick/thin cylinder theory hold good for this kind of loading?

Thank you,
Abhi

goutam_freelance (Mechanical) · Answer 3 · 2021-01-15 06:53:35

You should consult some textbook or handbook for bolted joint design for clarification on concepts.. Depending on joint configuration various possible failures are to be considered like edge tearing of member (plate), shear of bolt, tensile yielding of member, bearing stress on bolts, bearing stress on holes etc. Before actual design you should refer some structural or mechanical code.

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SSCon (Mechanical) · Answer 4 · 2021-01-16 15:26:47

Lifting codes often have calculations for pinned connections (for shackles and lifting lugs).

ASME BTH-1 has formulas/ criteria for pinned connections that you could use.

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Wall thickness calculation based on contact pressure