Hi - my entry features a lumberjack physically holding two logs together. I thought the real selling point of your logo should be the strength of the screws, rather than just showing that you sell screws. The lumberjack is braced with a tense, muscular arm showing that he's putting all of his effort into keeping the lumber together. I kept his face hidden so it didn't become to "cartoony" and so that the product message wasn't lost behind a persona. It also displays hard-work and physical strength, which also might appeal to builders.
Construction work is a tough job - I think a logo that speaks to that aspect, as well as demonstrates a product that works in that type of situation would go far with your customers.