an easy solution
One easy solution that is probably not true to form:
1. forget about the multi-section solid
2. if the tube is hollow, change it to make it solid (to begin)
3. at the squished end, make a sketch that shows the left and right squished areas (the sketch should look similar to your attached figure). Pocket the sketch to remove the left and right sides.
4. do a shell to make the squished tube hollow
Like I said, this won't give you the true shape, but might be good enough for your project. Do you have a side view that shows the tube from the side?
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