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Column AB is a circular cross section with a radius of r, and the length L...

Column AB is a circular cross section with a radius of r, and the length L is very long compared to r. One end A of the column AB is fixed and receives a compressive load P acting on the center of B. At this time, what is the minimum radius r of the circular cross section to prevent buckling on the column AB? (However, the elastic modulus of the column AB is E.)
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Solution P free end enih fixed end - As given that column is very long, so as per ellens theory i ( assuming that for given

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