In finishing my basement, I framed a wall parallel with and directly under a TJI (real TrusJoist-brand) joist. So, the top plate of my wall is attached to the underside of the bottom flange of the joist above for a length of above 13 feet. As per normal practice, I made sure everything was a nice snug fit. But now that I think about it, I'm concerned that with the frame wall below the joist and whatever forces are applied above it, the joist may get "crushed" if the web fails when, say, we move a piano on top of that area. I'm considering whether I should apply several web stiffeners in series along the length of the joist where it is over the wall below. Any thoughts? The joist is not carrying any point loads in that area (like a paino), just the weight of the floor, normal furniture, a partition wall and people above it.
Thanks!