Hi zazing,
I'm no engineer, but maybe what you're looking for is in D1.1 Section 2, Design of Welded Connections. Part A is for Common Welded Nontubular and Tubular, and Part D is for Welded Tubular for Static or Cyclic Loads. I can't picture in my mind exactly where you're locating these stiffener plates on your HSS joist without seeing a drawing, unless you're using them as gussets. Gussets are referred to as reinforcement in D1.1 under Limitations of the Strength of Welded Connections at 2.24.2.2, and Table 2.4 Fatigue Stress Design Parameters. You may want to check out the commentary in C2.24 also. The only thing I see regarding "stiffeners" is in 2.8.3.4, which addresses transverse stiffener welds, but that is under Part B Requirements for Nontubular Static or Cyclic Loads. Maybe the word you're looking for in D1.1 is gussets, not stiffener?
I'm using stepped connections: 1.5x1.5x0.1875 web members and 3x3x0.25 chord members. I'm right near the limit of plastic chord wall failure at the ends of the joist, so for those joints they(*) recommend adding a simple plate to reinforce the chord wall where the web meets the chord. This would work both on K and Y connections. They say I can substitute the increased thickness into the equations but don't offer how to compute the dimensions of the plate, other than the quote I orignally gave.
* "They" is: AISC HSS Connections Manual p8-13.
From 2.24.2.2 "...may be reinforced by increasing the main member thickness or by use of diaphragms, gussets, or collars." OK, I guess that's a "provision" but I was expecting more meat.