You have learned to make the most of certain weapons, despite your physical weakness.
This feat is a bit confusing, as it can be interpreted in two distinct ways:
1) This feat lets you ignore penalties to your damage from having a negative Strength score caused by your racial penalty. For example, a halfling with a Strength score of 9 normally takes a -1 penalty to his damage with melee or thrown weapons. This feat would allow him to treat his Strength as a 10 for calculating damage with the listed types of weapons. This CANNOT raise your effective Strength score higher than 10 for calculating damage, since characters with a Strength score higher than 10 do not take a penalty on damage.
2) This feat lets you ignore racial penalties to your Strength when calculating your damage, irregardless of your current Strength score. For example, a halfling with a Strength score of 12 (after applying his racial penalty of -2 to Strength) normally gets a +1 to damage with melee or thrown weapons. This feat would allow him to treat his Strength as a 14 for calculating damage with the listed types of weapons, giving him a +2 bonus to damage.
As of now, there has been no ruling, official or unofficial, on this feat, so GMs are encouraged to make their own judgment about its utility for any given character.
Pathfinder Player Companion: Kobolds of Golarion. © 2013 Paizo Publishing, LLC; Authors: Tork Shaw, Mat Smith, and Jerome Virnich.