As RHTPE has stated, much of the material in this market segment is rated by testing. While some portions of the various pipe members and proprietary sections are designed by conventional analysis, it is a challenge to resolve each portion of the member.
From the comments above, an effort was discussed to analyze the members over the three segments, designing the top screw over its length, the main member over its length and the lower screw over its length. I see merit in this approach, but it still leaves the challenge of designing the connection or joints between each area.
In most testing I am aware of, the screw/main body interaction is the common failure mode, though most test setups are made such that the main body of the shore is well braces and translation or buckling of the adjustment screw is more likely to occur. That said, I am a designer of formwork, not a testing lab, so I won't claim to know the ins and outs of all test rigs and procedures.
The design of these members is not trivial, not that you imply that. That said, the last two suppliers listed above have got a lot invested in their product and their products have a much more substantial capacity than any tilt up brace commonly used for wind bracing of formwork. Much of that investment covers the testing of the product in ways it is difficult to design for and much easier to test.
What is your application? If you are bracing for wind, I have not found a scenario where tilt-up braces could not be arranged for satisfactory purposes with the stated load capacity, with maximum 40' tall x 25' wide ganged forms. If you are resisting direct concrete loads, such as from one sided formwork, I would not expect anything from the pipe brace catalog to be of service and would undoubtedly expect to find myself working around the capacity of one of the suppliers being linked to. I have used both brands with fair success, though the yellow guys have more of my market.
My company has worked through bracing from other steel members for formwork in the past, however, we have always avoided the inclusion of the screw for adjustment. Generally, we will work to a frame type solution with wedges at various locations to provide the adjustment.
Making the adjustment location easy to turn, but adequate to take the load is no small task. Its also a little more ME than CE/SE in my mind.
There are formulas that can be found to give strength across various threads and fasterners from mechanical references. Even then, I would not want to use such a brace without considerable testing to verify the adequacy of the member.
If you review literature for some commercial shoring members, they will note the type of thread used in their member.
Keep on discussing.
Daniel