SPREADSHEETS SERIES No. 0009S - 2
SPREADSHEETS SERIES No. 0009S - 2
SPREADSHEETS SERIES No. 0009S - 2
0009S_2
Equations for Wall thickness calculation of straight pipes under internal pressure (304.1):
The parameters in the wall thickness calcula on of straight pipes under internal pressure
equa ons above are:
T = Nominal pipe wall thickness, inches (mm) from ASME B36.10M or B36.19M
T = Minimum thickness considering a mill tolerance of 12.5%, inches (mm)
tm = Minimum thickness required, inches (mm)
t = Thickness for design pressure, inches (mm)
c = Sum of allowance for corrosion, erosion, slots and threads, inches (mm)
P = Internal design pressure, psig (barg) (1bar = 100 kN/m2)
D = External diameter, inches (mm)
E = Quality factor (table A-1B) of ASME B31.3
S = Allowable stress at the design temperature, psi (Mpa) (table A-1 or A-1M) of ASME B.31.3.
Y = Coefficient that depends on the material and design temperature (table 304.1.1) of ASME
B31.3.
W = Stress reduc on factor of welded joint, paragraph 302.3.5(e) and table 302.3.5 of ASME
B31.3
The formulas below is used in the pressure design of branch connec ons. It is illustrated in Fig.
304.3.3, which does
not indicate details for construc on or welding. Some of the terms defined in Appendix J are
subject to further
defini ons or varia ons, as follows:
d₂ = d₁ or (Tb ̶ c) + (Th ̶ d₁
c)+ 2
L₄ = 2.5(Th ̶ c) or 2.5(Tb ̶
, whichever is less
c)+Tr
Tb = branch pipe thickness (measured or minimum in accordance with the purchase
specifica on) except for branch connec on fi ngs (see para. 300.2). For such connec ons the
value of Tb for use in calcula ng L4, d2, and A3 is the thickness of the reinforcing barrel
(minimum per purchase specifica on), provided that the barrel thickness is uniform (see Fig.
K328.5.4) and extends at least to the L4 limit (see Fig. 304.3.3.)
Tr = minimum thickness of reinforcing ring or saddle made from pipe (use nominal thickness if
made from plate)
= 0, if there is no reinforcing ring or saddle
t = pressure design thickness of pipe, accordingto the appropriate wall thickness equa on or
procedure in para. 304.1. For welded pipe, when the branch does not intersect the longitudinal
weld of the run, the basic allowable stress, S, for the pipe may be used in determining th for
the purpose of reinforcement calcula on only. When the branch does intersect the
longitudinal weld of the run, the product SEW (of the stress value, S; the appropriate weld joint
quality factor, Ej, from Table A-1B; and theweld joint strength reduc on factor, W; see para.
302.3.5) for the run pipe shall be used in the calcula on. The product SEW of the branch shall
be used in calcula ng tb.
β = smaller angle between axes of branch and run.
Required Reinforcement Area. The reinforcement area, A1, required for a branch connec on
under internal pressure is:
For a branch connec on under external pressure, area A1 is one-half the area calculated by eq.
(6), using as th the thickness required for external pressure.
A₂ +A₃ + A₄ ≥ A₁ (6a)
These areas are all within the reinforcement zone and are further defined below.
I.Area A2 is the area resul ng from excess thickness in the run pipe wall
II.Area A3 is the area resul ng from excess thickness in the branch pipe wall
If the allowable stress for the branch pipe wall is less than that for the run pipe, its calculated
area must be reduced in the ra o of allowable stress values of the branch to the run in
determining its contribu ons to area A3.
III.Area A4 is the area of other metal provided by welds and properly a ached reinforcement.
[See para. 304.3.3(f).] Weld areas shall be based on the minimum dimensions specified in para.
328.5.4, except that larger dimensions may be used if the welder has been specifically
instructed to make the welds to those dimensions.
In ring
A₄ = (Tr)(Dr Db
sin β
)
-
In fillet welds
Considering all fillet welds are equivalent to 45 deg fillet welds
A₄ = 4 x 1/2 x Leg²
Reinforcement Zone. The reinforcement zone is a parallelogram whose length extends a
distance, d2, on each side of the centerline of the branch pipe and whose width starts at the
inside surface of the run pipe (in its corroded condi on) and extends beyond the outside
surface of the run pipe a perpendicular distance, L4.
Mul ple Branches. When two or more branch connec ons are so closely spaced that their
reinforcement zones overlap, the distance between centers of the openings should be at least
1- ⁄ mes their average diameter, and the area of reinforcement between any two openings
shall be not less than 50% of the total that both require.
Each opening shall have adequate reinforcement in accordance with paras. 304.3.3(b) and (c).
No part of the metal cross sec on may apply to more than one opening or be evaluated more
than once in any combined area. (Consult PFI Standard ES-7, Minimum Length and Spacing for
Branch Connec ons, for detailed recommenda ons on spacing of welded nozzles.)
Added Reinforcement
I.Reinforcement added in the form of a ring or saddle as part of area A4 shall be of reasonably
constant width.
II.Material used for reinforcement may differ from that of the run pipe provided it is
compa ble with run and branch pipes with respect to weldability, heat treatment
requirements, galvanic corrosion, thermal expansion, etc.
III.If the allowable stress for the reinforcement material is less than that for the run pipe, its
calculated area must be reduced in the ra o of allowable stress values in determining its
contribu on to area A4.
IV.No addi onal credit may be taken for a material having higher allowable stress value than
the run pipe.