NAS4002 Stress Area Calculations Aerospace Fasteners

[gfthelen]

Hello All;
Not sure this is the place for this question, but....
For this NAS 4002 Spec, Fastener Testing, Table III shows the Nominal Thread size and TPI, the Nominal Size (IN.) and the Thread pitch area at Max Dia.
Then the values for Min Tensile for Types I, II and III.
Is there a formula for this UNJ stress area of the fastener?

The standard F-606 Area Calculation is NOT correct for this sample. This formula uses the Thread Pitch Dia. in the equation. Would like the formula so I can direct calculate the area in place of a look up table to find area.

Thanks for your help and I have attached the Page for this table.
Regards,
Greg Thelen