wailunwu, it is up to the designer whether to consider the junction a line of support, or not. Rules are different, review UG-33(f).
If not a line of support, required cone thickness is not less than required thickness of attached cylinder. If a line of support, required cone thickness is calculated by the procedure in UG-33(f)(1). If the cone half apex angle exceeds 60 deg, see (f)(2).
In either case (line of support or not) rules of Apx 1-8 must be met. Additionally, if not a line of support a stiffening ring is required on the attached cylinder(s), so as to define the length "L" per UG-28. See UG-28 for definitions of lines-of-support.
The advantage to considering the junction a line-of-support is that no stiffening may be required on the attached cylinder(s) if Apx 1-8 is satisfied without one.
If the vessel is also subject to internal pressure rules of Apx 1-5 must be followed as well.
Regards,
Mike
The problem with sloppy work is that the supply FAR EXCEEDS the demand