01
APPENDIX14
INTEGRAL FLAT HEADS WITH A LARGE,SINGLE, CIRCULAR,CENTRALLY LOCATED OPENING
14-1SCOPE
14-1(a)In accordance with UG-39(c)(1),?at heads
which have a single,circular,centrally located opening
that exceeds one-half of the head diameter shall be
designed according to the rules which follow.The
shell-to-?at head juncture shall be either integral,as
shown in Fig.UG-34sketches(a),(b-1),(b-2),(d),
and(g),or a butt weld,or a full penetration corner
weld similar to the joints shown in Fig.UW-13.2
sketches(a),(b),(c),(d),(e),and(f).When Fig.UW-
13.2sketches(c)and(d)are used,the maximum wall
thickness of the shell shall not exceed3?8in.(10mm)
and the maximum design metal temperature shall not
exceed650°F(343°C).The central opening in the?at
head may have a nozzle which is integral or integrally
attached by a full penetration weld or may have an
opening without an attached nozzle or hub.
14-1(b)A general arrangement of an integral?at
head with or without a nozzle attached at the central
opening is shown in Fig.14-1.
14-1(c)The head thickness does not have to be
calculated by UG-34rules.The thickness which satis?es
all the requirements of this Appendix meets the require-
ments of the Code.
14-2NOMENCLATURE
14-2(a)Except as given below,the symbols used in
the equations of this Appendix are de?ned in2-3.
A p outside diameter of?at head and shell,in.(mm)
B n p diameter of central opening(for nozzle,this is
inside diameter and for opening without nozzle,
diameter of opening),in.(mm)
B s p inside diameter of shell(measured below ta-
pered hub,if one exists),in.(mm)
(E?)*p slope of head with central opening or nozzle
times the modulus of elasticity,disregarding the
interaction of the integral shell at the outside
diameter of the head,psi
M H p moment acting at shell-to-?at head juncture,in.-
lb(N W m)
P p internal design pressure(see UG-21),psi(kPa)
t p?at head nominal thickness,in.(mm)
B1,F,S H,S R,S T,V,f,g o,g1,and h o are de?ned
in2-3.These terms may refer to either the shell-to-
?at head juncture or to the central opening-to-?at head
juncture and depend upon details at those junctures.
14-3DESIGN PROCEDURE
14-3(a)Disregard the shell attached to the outside
diameter of the?at head and then analyze the?at head
with a central opening(with or without a nozzle)in
accordance with these rules.
14-3(a)(1)Calculate the operating moment M o
according to2-6.(There is no M o for gasket seating
to be considered.)The formulas in Appendix2for
loads(2-3)and moment arms(Table2-6)shall be
used directly with the following de?nitions and terms
substituted for terms in Appendix2:
Let C p G p inside diameter of shell B s,in.(mm);
B p B n,in.(mm),where B n is as shown in Fig.14-
1depending on an integral nozzle or no nozzle.
The moment arm h g in Table2-6will be equal to
zero when using the rules of this Appendix.The M G
moment will therefore be equal to zero.
14-3(a)(2)With K p A/B n,use2-7to calculate
the stresses S H,S R,and S T.The S H and S R stresses
are equal to zero for the case of an opening without
a nozzle.
14-3(b)Calculate(E?)*:
14-3(b)(1)for an integrally attached nozzle,
(E?)*p
0.91(g1/g o)2B1V
f h o
S H
01
14-32001SECTION VIII—DIVISION114-3
FIG.14-1INTEGRAL FLAT HEAD WITH LARGE CENTRAL OPENING 14-3(b)(2)for an opening without a nozzle,
(E?)*p(B n/t)S T
where g o,g1,B1,V,f,h o,and B n all pertain to the
opening in the?at head as described in14-3(a).
14-3(c)Calculate M H:
M H p
(E?)*
1.74h o V
g o3B1
+
(E?)*
M o
(1+Ft/h o)
**
where h o,V,g o,B1,and F refer to the shell attached to the outside diameter of the?at head.
**For some of the terms of the above equation(s),it may be necessary to convert millimeters to meters to obtain a rational result in SI units.
14-3(d)Calculate X1:
X1p
M o?M H(1+Ft/h o)
M o
where F and h o refer to the shell.
14-3(e)Calculate stresses at head/shell juncture and opening/head juncture as follows:
14-3(e)(1)Head/Shell Juncture
Longitudinal hub stress in shell
S HS p(X1)(E?)*
1.10h o f
(g1/g o)2B s V
where h o,f,g o,g1,B s,and V refer to the shell. Radial stress at outside diameter
S RS p
1.91M H(1+Ft/h o)
B s t2
+
0.64FM H
s o
**
0114-3APPENDIX14—MANDATORY14-5 where B s,F,and h o refer to the shell.
Tangential stress at outside diameter
S TS p
(X1)(E?)*t
B s
?
0.57(1+Ft/h o)M H
B s t2
+
0.64FZM H
B s h o t
**
where B s,F,and h o refer to the shell,and
Z p
K2+1
K2?1
14-3(e)(2)Opening/Head Juncture
Longitudinal hub stress in central opening
S HO p X1S H
Radial stress at central opening
S RO p X1S R
Tangential stress at diameter of central opening
S TO p X1S T+
0.64FZ1M H
B s h o t
**
where F,B s,and h o refer to the shell,and
Z1p
2K2
K2?1
14-3(f)The calculated stresses above shall meet the
allowable stresses in2-8.
14-4DATA REPORTS
When all the requirements of this Division and the
supplemental requirements of this Appendix have been
met,the following notation shall be entered on the
Manufacturer’s Data Report under Remarks,“Con-
structed in Conformance with Appendix14,Integral
Flat Heads with a Large,Single,Circular,Centrally-
Located Opening.”
14-5EXAMPLES
Examples illustrating use of the rules of this Appendix
are as follows.
14-5(a)Example(a)
**For some of the terms of the above equation(s),it may be
necessary to convert millimeters to meters to obtain a rational result
in SI units.
14-5(a)(1)Introduction.A cylindrical vessel(with
a72in.O.D.and a70in.I.D.)has an integral?at
head with a large centrally located opening with a40
in.diameter.A nozzle is attached to the opening.The
wall thickness of the nozzle is9?16in.Both the head/
shell and the opening/head details of the transition are
shown in Fig.14-2.The design pressure of the vessel
is100psi with a design temperature of100°F.The
vessel is fabricated from304stainless steel with an
allowable stress of18.8ksi.The thickness of the?at
head https://www.sodocs.net/doc/1818634158.html,ing the rules above determine if the
vessel design is acceptable.
This Example was performed using computer soft-
ware.The Example was generated by performing the
entire calculation without rounding off during each
step.Accuracy of the?nal results beyond three signi?-
cant?gures is not intended or required.
14-5(a)(2)Solution
(a)Input Data
A p outside diameter of?at head and shell p72in.
B n p diameter of central opening p40in.
B s p inside diameter of shell p70in.
P p internal design pressure p100psi
g on p thickness of nozzle above transition p0.563in.
g1n p thickness of nozzle at head p1.125in.
g os p thickness of shell below transition p1in.
g1s p thickness of shell at head p2in.
h n p length of nozzle transition p2in.
h s p length of shell transition p3in.
n p subscript for nozzle at central opening
s p subscript for shell at outside diameter of head
t p nominal thickness of?at head p3in.
(b)Calculate parameters to determine chart val-
ues from Appendix2:
gr n p
g1n
g on
p2
gr s p
g1s
g os
p2
h on p?B n g on p4.75in.
h os p?B s g os p8.37in.
hr n p
h n
h on
p0.421
hr s p
h s
h os
p0.359
F n p0.843
F s p0.857
V n p0.252
V s p0.276
f n p1.518
f s p1.79
14-5APPENDIX14—MANDATORY14-5 B1n p B n+g on p40.563in.
(E?)*p 0.91?g1n g on?2B1n V n
f n h on
S H p269,584
lb
in.2
(g)Calculate M H using the geometry at the shell: B1s p B s+g os p71in.
M H p
(E?)*
1.74h os V s
g os3B1s
+
(E?)*
M0?1+F s t h os?
p1,792,262in.-lb
(h)Calculate X1using the geometry at the shell:
X1p M0?M H?1+F s t h os?
M0
p0.376
(i)Calculate stresses at the head/shell juncture using the geometry at the shell:
Longitudinal hub stress in the shell
S HS p 1.10h os f s
?g1s g os?2B s V s X1(E?)*p21,621
lb
in2
Radial stress at outside diameter of shell
S RS p 1.91M H?1+F s t h os?
B s t2
+
0.64F s M H
B s h os t
p7663
lb
in2
Tangential stress at outside diameter of shell
S TS p X1(E?)*t
B s
?
0.57?1+F s t h os?M H
B s t2
+
0.64F s ZM H
B s h os t
p3286lb in2
(j)Calculate stresses at the opening/head junc-ture using the geometry at the shell
Longitudinal hub stress at central opening
S HO p X1S H p19,672
lb
in.2
Radial stress at central opening
S RO p X1S R p3114
lb
in.2
Tangential stress at diameter of central opening
S TO p X1S T+
0.64F s Z1M H
B s h os t
p9362
lb
in.2
(k)Allowable stress from2-8and Section II,
Part D:
S f p18,800
lb
in.2
(l)Computed versus allowable stress for the
head/shell juncture:
S HS p21,621
lb
in.2
≤1.5S f p28,200
lb
in.2
S RS p7663
lb
in.2
≤S f p18,800
lb
in.2
S TS p3286
lb
in.2
≤S f p18,800
lb
in.2
S HS+S RS
2
p14,642
lb
in.2
≤S f p18,800
lb
in.2
S HS+S TS
2
p12,454
lb
in.2
≤S f p18,800
lb
in.2
(m)Computed versus allowable stress for the
opening/head juncture:
S HO p19,672
lb
in.2
≤1.5S f p28,200
lb
in.2
S RO p3114
lb
in.2
≤S f p18,800
lb
in.2
S TO p9362
lb
in.2
≤S f p18,800
lb
in.2
S HO+S RO
2
p11,393
lb
in.2
≤S f p18,800
lb
in.2
S HO+S TO
2
p14,517
lb
in.2
≤S f p18,800
lb
in.2
The computed stresses meet the requirements;there-
fore,the design meets the Appendix14rules
14-5(b)Example(b)
14-5(b)(1)Introduction.A cylindrical vessel(with
a22.5in.O.D.and a22in.I.D.)has an integral?at
head with a large centrally located opening with a16
in.diameter.No nozzle is attached to the head at the
14-5APPENDIX14—MANDATORY14-5
H p0.785B s2P p94,985lb
H D p0.785B n2P p50,240lb
H T p H?H D p44,745lb
R p B s?B n
2
p3in.
h D p R p3in.
h T p R
2
p1.5in.
M D p H D h D p150,720in.-lb
M T p H T h T p67,117in.-lb
M0p M D+M T p217,837in.-lb (e)Calculate stresses using2-7:
S T p YM0
t2B n
p15,761
lb
in.2
Note that for an opening without a nozzle attached the longitudinal hub stress and the radial stress are equal to zero.
(f)Calculate(E?)*for the condition of an opening without a nozzle,using the geometry at the opening:
(E?)*p?B n t?S T p112,077lb in.2
(g)Calculate M H using the geometry at the shell:
B1s p B s+g os p22.25in.
M H p
(E?)*
1.74h os V s
g os3B1s
+
(E?)*
M0?1+F s t h os?
p15,105in.-lb
(h)Calculate X1using the geometry at the shell:
X1p M0?M H?1+F s t h os?
M0
p0.87
(i)Calculate stresses at the head/shell juncture using the geometry at the shell:
Longitudinal hub stress in the shell
S HS p 1.10h os f s
?g1s os?2B s V s X1(E?)*p20,789
lb
in2
Radial stress at outside diameter of shell
S RS p
1.91M H?1+F s t h os?
B s t2
+
0.64F s M H
B s h os t
p561
lb
in2
Tangential stress at outside diameter of shell
S TS p
X1(E?)*t
B s
?
0.57?1+F s t h os?M H
B s t2
+
0.64F s ZM H
B s h os t
p10,060
lb
in2
(j)Calculate stresses at the opening/head junc-
ture using the geometry at the shell:
Tangential stress at diameter of central opening
S TO p X1S T+
0.64F s Z1M H
B s h os t
p14,021
lb
in.2
(k)Allowable stress from2-8and Section II,
Part D:
S f p18,800
lb
in.2
(l)Calculate stress margins for the head/shell
juncture:
S HS p20,789
lb
in.2
≤1.5S f p28,200
lb
in.2
S RS p561
lb
in.2
≤S f p18,800
lb
in.2
S TS p10,060
lb
in.2
≤S f p18,800
lb
in.2
S HS+S RS
2
p10,675
lb
in.2
≤S f p18,800
lb
in.2
S HS+S TS
2
p15,425
lb
in.2
≤S f p18,800
lb
in.2
(m)Calculate stress margins for the opening/
head juncture:
S TO p14,021
lb
in.2
≤S f p18,800
lb
in.2
The computed stresses meet the requirements;there-
fore,the design meets the Appendix14rules.