This mechanics of materials tutorial shows how to find the minimum inner diameter of a hollow circular shaft in torsion.
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Looking for software? I highly recommend checking out SkyCiv. They make a full suite of online structural analysis software and tools that are useful for both students and professionals, including calculators for beams, trusses, frames, moment of inertia and more. It’s great for checking your work:
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Thanks for watching, I hope it helps!
