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How to flatten the inner vanes of transit mixer drum

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I have been trying to create  the inner vanes of transit mixer drum. As you can see in the images one vane is clockwise and the other vane is anticlockwise which has been color coded green and yellow respectively.

The problem is that:

I am unable to flatten the inner spiral and hence unable able to get developement length of the inner vanes nor the inner and outer diameter of the vane in such a way that after cutting/dividing the vanes in sections  for example at an angle of 120 degrees,

since in real world the sheetmetal has to be cut in sections either by laser or plasma cutting and then twisting each section by beating with hammer and then welding it on the inner periphery of the drum  inorder to take shape of a spiral.

The inner and outer diameter and flat pattern of  each section of the vane is required after flattening it since it has to be sent for laser cutting in 2d

I have been try to find a solution for days but have been unsuccessful so far please help me out


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