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The centroid of a shape is its geometric center, where it balances perfectly in all directions. In structural engineering, the centroidal axis theory states that the centroidal axis of a structure bears the load without bending. This simplifies calculations by treating structures as if all forces act through their centroidal axes. It's crucial for designing beams, columns, and other structural elements. Understanding centroidal axis theory helps engineers analyze and design structures efficiently, ensuring they can withstand loads effectively while minimizing material usage and costs.
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