Hi, I have a solid hollow tube (thin wall) with pin in the bottom and the top pa

Question

Hi, I have a solid hollow tube (thin wall) with pin in the bottom and the top part is connect with another tube and there is a force act on top of the tube ( tangent), the pipe has a small diameter (3feet) at both end and in the midle its has diameter of 6 feet. How can I convert the uneven diameter of the hollow tube in to a solid tube (same stresst) ( keep the length the same)? what equation should I use? moment of Inertia? and does it matter what kind of force act on the original hollow tube? Please help if you have idea what to do. thank you in advance.

Explanation / Answer

let do = outer dia

and di = inner dia.

then for replacem,emt both should have same momemnt of inertia

so, pi/4 x (do ^4 - di^4)/32 = pi/4 * D^4/32

so, Diamtere of solid = [ (do^4 - di^4)]

no the force doent matters. theforce in each case remains the same.

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