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Timoshenko Beam Theory Part 2 of 3: Hamilton's Principle

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Good Vibrations with Freeball

Good Vibrations with Freeball

Күн бұрын

Пікірлер: 12
@javadsajedi625
@javadsajedi625 3 ай бұрын
wonderful explanation, thank you
@andrerossa8553
@andrerossa8553 11 ай бұрын
Excelent series. Congrats
@AnotherPointOfView944
@AnotherPointOfView944 11 ай бұрын
Nice one. You have me hooked.
@yossriwidad7579
@yossriwidad7579 10 ай бұрын
amazing series. thank you!
@juanjose_mx
@juanjose_mx 10 ай бұрын
Excellent video. Which software are you using to display your hand notes? It looks very nice. Congratulations.
@Freeball99
@Freeball99 9 ай бұрын
The app is called "Paper" by WeTransfer running on an iPad Pro 13 inch and using Quicktime to record the screen. The handwriting is mine.
@hesammortazavi9371
@hesammortazavi9371 4 ай бұрын
in calculating u*, I thing it does not have 1/2 in, u*=inegral(....)
@Freeball99
@Freeball99 4 ай бұрын
Yes, you're correct. We get the 1/2 as a result of performing the integration (and assuming linear stress-strain relations). So, the 1/2 should NOT appear in front of the integral, but should appear in the lines that follow.
@user-kz5cv4rq2r
@user-kz5cv4rq2r 7 ай бұрын
what is the 'm' in the equation of shear correction factor for hollow cylinder?
@Freeball99
@Freeball99 7 ай бұрын
The original source of this table is from G.R. Cowper's paper on shear correction factors,"The Shear Coefficient in Timoshenko’s Beam Theory". Journal of Applied Mechanics, June 1966, p. 335. It shows that m = b/a (the ratio of the inner to outer radius). Also it shows that there is an error in the formula for k as printed!! It should read k = 6*(1+ν)*(1+m^2)^2 / ( (7+6*ν)*(1+m^2)^2 + (20+12*ν)*m^2 ) NOTE the squares on each of the m's.
@joesryify
@joesryify 11 ай бұрын
hey man can u show us how to implement the euler-lagrange of soft matter in python?
@Freeball99
@Freeball99 11 ай бұрын
Not sure what that is. Do you have a link I can look at?
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