49 C.F.R. § 179.400-9
(b) A portion of the outer jacket may be included when calculating the moment of inertia of the ring. The effective width of jacket plate on each side of the attachment of the stiffening ring is given by the following formula:
W = 0.78(Rt) 0.5
Where: W = width of jacket effective on each side of the stiffening ring, in inches; R = outside radius of the outer jacket, in inches; t = plate thickness of the outer jacket, after forming, in inches.
(d) The stiffening ring must have a moment of inertia large enough to support the critical collapsing pressure, as determined by either of the following formulas:
I = [0.035D 3 LPc] / E,
or
I′ = [0.046D 3 LPc] / E
Where: I = required moment of inertia of stiffening ring about the centroidal axis parallel to the vessel axis, in inches to the fourth power; I′ = required moment of inertia of combined section of stiffening ring and effective width of jacket plate about the centroidal axis parallel to the vessel axis, in inches to the fourth power; D = outside diameter of the outer jacket, in inches; L = one-half of the distance from the centerline of the stiffening ring to the next line of support on one side, plus one-half of the distance from the centerline to the next line of support on the other side of stiffening ring. Both distances are measured parallel to the axis of the vessel, in inches. (A line of support is: (1) A stiffening ring which meets the requirements of this paragraph, or (2) A circumferential line of a head at one-third the depth of the head from the tangent line); Pc = critical collapsing pressure (37.5 psig minimum) in psig; E = modulus of elasticity of stiffening ring material, in psi.
[Amdt. 179-32, 48 FR 27708, June 16, 1983, as amended at 66 FR 45391, Aug. 28, 2001]