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Quietrabbit

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- If I have four posts with a board on top, what is the optimal distance from the center to put them so they can support the most weight added on the board?

I have 4 tiny ~7in wooden posts that have cross bracing (let me know if I need to describe the bracing), and I place a solid wooden board on top of the posts then as much weight as possible on the board until the posts break. The posts are equidistant from the center of where the boards and weights are placed so the force is evenly distributed among them.

The posts will break long before any buckling, or the like, occurs in the board so I am assuming I don’t need to worry about that. I have considered just testing, but the materials are expensive so I was hoping for an general answer instead. Any mathematical reasoning is also appreciated.

I phrased the initial question referencing a table as that is essentially the setup, and I am assuming the same principles apply. However, I can’t visualize why so I was hoping someone could guide me through that. Thank you.

**I am wondering where the optimal location to place the four posts is.**(Ie far out to the corners of the board, like a table, somewhere in between, or no difference and I am wasting my time). For the purpose of this, I am assuming the weights are placed perfectly in the center of the four posts so I am interested in force/load (sorry, I forget the correct term) distribution based on distance for the center, not any torque or tipping of the “table”.The posts will break long before any buckling, or the like, occurs in the board so I am assuming I don’t need to worry about that. I have considered just testing, but the materials are expensive so I was hoping for an general answer instead. Any mathematical reasoning is also appreciated.

I phrased the initial question referencing a table as that is essentially the setup, and I am assuming the same principles apply. However, I can’t visualize why so I was hoping someone could guide me through that. Thank you.

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