structural engineering - Optimal placement of two support points along a wooden beam - Engineering Stack Exchange

Assuming a beam that is supported at 2 points as per attached image, what would be Lc (length center) and Lo (length overhang) for maximum strength. (or load bearing capability) For actual material

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A wood beam is only supported at its ends by two posts, with no support in the middle. Is there a formula to calculate the thickness of the wood beam required for