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These are well-established standard spacings that make construction easier and more reliable. A stud wall has to have some repeat spacing and 16 inches is convenient. It divides nicely into 8 feet, for example for sheetrock, so that the material starts and ends at a stud with no cutting. 24 inches offers the same benefit, plus also serves well for material in four foot lengths. The standardized spacing is well ingrained in building materials, like insulation, light fixture supports, etc.

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Q: Why are studs centered at 16 or 24?
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