Tsiolkovsky
Mechanical
- May 20, 2010
- 58
Theory tells us that under a compressive load, a circular, hollow, cross section is the most efficient in carrying the load. This is because a circular cross section does not have in it a "least moment of inertia". i.e. there is no "weak point" to flex about like a flat ruler for example.
Can we then agree that a hexagonal column is less efficient because there are six sides among which, there are least moment of intertias. so if the member had to buckle, it would do so about any of those six sides. Whereby a circular profile could buckle among any infinite combinations.
However, I noticed on "face drill" machines used on mines that a long steel piece connects the percussion hydraulic oscillator to the drill bit. This long steel piece is a hexagonal profile, not circular.
Now i'm thinking why so? and I immediately think that it definitely has something to do with the fact that it is a dynamic loading scenario not a static scenario. Furthermore, the frequencies of these percussion bits is so high (no idea maybe >60hz?)it may interfere with the natural frequency of the long steel piece connecting the drill bit.
So maybe a polygon shape somehow distributes the buckling one direction then along the other side and other side and so on. whereas a circular one might buckle once and keep buckling along that same spot and fatigue will set in much faster because the same side is flexed upon.
I actually dont even want an answer, hehe, a clue or hint or a "youre thinking in the right direction" will do me just fine. I want to see if I can figure it out.
Can we then agree that a hexagonal column is less efficient because there are six sides among which, there are least moment of intertias. so if the member had to buckle, it would do so about any of those six sides. Whereby a circular profile could buckle among any infinite combinations.
However, I noticed on "face drill" machines used on mines that a long steel piece connects the percussion hydraulic oscillator to the drill bit. This long steel piece is a hexagonal profile, not circular.
Now i'm thinking why so? and I immediately think that it definitely has something to do with the fact that it is a dynamic loading scenario not a static scenario. Furthermore, the frequencies of these percussion bits is so high (no idea maybe >60hz?)it may interfere with the natural frequency of the long steel piece connecting the drill bit.
So maybe a polygon shape somehow distributes the buckling one direction then along the other side and other side and so on. whereas a circular one might buckle once and keep buckling along that same spot and fatigue will set in much faster because the same side is flexed upon.
I actually dont even want an answer, hehe, a clue or hint or a "youre thinking in the right direction" will do me just fine. I want to see if I can figure it out.