This brings into consideration the difference between static and dynamic spine. There are a lot of folks here who know much more about it than I do, but here is my understanding...for the paper it's printed on
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Adding weight tubes will not change the static spine of your arrow, however, it should attribute more of your bow's energy to the arrow which may slightly lessen the dynamic spine. I have shot arrows with and without 3 gr/inch weight tubes and notice a minimal change when bare shafting arrows...but I always still check. Hope this helps.