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Axisymmetric hand calcs?

Axisymmetric hand calcs?

Axisymmetric hand calcs?

(OP)
I've been thinking about this all morning and it is giving me a head ache.
Imagine you have a plain tube 7"5/8ths OD, 0.1" thick, 1" long, it is fixed at one end, and a radial force is applied to the other end.
Can I any of you solve this by hand? If so can you tell me how?

RE: Axisymmetric hand calcs?

Hi

At 1" long and such a large diameter I would solve that by just considering shear over the tube area and ignore any bending, so have a look at this site:-http://www.roymechx.co.uk/Useful_Tables/Mechanics/...
Scroll down till you get to shear stress.

RE: Axisymmetric hand calcs?

(OP)
Ah yeah ok I made that up. lets make it 10 inches long...

RE: Axisymmetric hand calcs?

depends how the radial force is applied. Is it distributed over the free end or is it a "local" load. If it is a local point load then you will get "local" effects around the load application. If you are just worried about the effects at the fixed end then you have bending and shear to calculate.

RE: Axisymmetric hand calcs?

Well once the length starts to increase we end up with a cantilever beam in your example, however the accuracy of beam theory until the length of the beam gets to about 10*tube diameter is in question but go to this link
http://www.roymechx.co.uk/Useful_Tables/Beams/Beam...
scroll down till you see cantilever beam example

RE: Axisymmetric hand calcs?

(OP)
Thanks for all your input. Apologies I did not define the problem accurately. The radial force is appplied axisymmetrically, ie all around the circumference.

There is a solution however using beams on Elastic Foundations, which works admirably.
Cheers

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