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Barnes manual loading data for their 115gr TSX in a 257 Wby start load is 66gr/H-1000 @3073fps and max load of 72gr/H-1000 @ 3287fps.
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I took the following from the Barnes website for this bullet and H1000: Starting Load 63.5 (3101) and Max Load 67.5 (3243). That's quite different from 66/72. I would think boosting the load from 63.5 to 72 (13%) might give enough of a velocity increase to stabilize the bullet. nmbrinkman says his Tikka T3 does very well with this bullet using H4831. He doesn't say what his load is (min or max) but I believe H1000 has about the same burn rate as H4831.
It's pretty clear now that this bullet needs more "umph" for my barrel. I would never have thought that different barrels for the same caliber would have different "umph" requirements but I guess they do.
I think, as in the old closing of Dragnet, "This case (on this bullet in my barrel) is closed"!
I just wish we could establish some direction as to which bullet shape might be most likely to be better stabilized in my barrel without needing max loads.
Thanks everyone.