Design of Pressure Vessel
Design of Pressure Vessel
Design of Pressure Vessel
PROJECT REPORT
Submitted by\
MIJO JOSEPH
VIPIN .M
VISHNU
VIJAY
ABSTRACT
This project work deals with a detailed study and design procedure of pressure
vessel. A detailed study of various parts of pressure vessels like shell, closure,
support, flanges, nozzles etc. Design is carried according to rules of ASME code
The first chapter deals with detailed study of pressure vessel i.e. the various materials
used in pressure construction and temperature are mentioned .It also deals with the
study of various parts like flanges, support etc. Various methods of fabrication and
The second chapter includes design criteria .This is followed by procedure of design,
which include design shell and its components, nozzles, reinforcements etc.
LIST OF FIGURES
FIGURE PAGE
3.9.1 TYPES OF FLANGES 14
3.11.1 TYPES OF SKIRT 17
MODEL OF AMINE ABSORBER 29
5.1 TOP AND BOTTOM HEAD 32
5.2.1 TOP SECTION OF SHELL 35
5.2.2 BOTTOM SECTION OF SHELL 36
5.3 DESIGN OF NOZZLE 59
5.4 DESIGN OF REINFORCEMENT AREAS 72
LIST OF TABLES
DESIGN DATA 28
7 RESULT AND DISCUSSION 87
P : design pressure, kg/cmA2
NOMENCLATURE
T : design temperature, °C
C : corrosion allowance, mm
E : Joint efficiency, %
4
tn : minimum thickness provided for the nozzle, mm
Fe : seismic coefficient
N: Number of bolts
5
P : design pressure, kg/cmA2
Dso outer diameter of the skirt, mm
6
P= design pressure, or maximum an allowable
working
Pressure
welded -joint efficiency
S maximum allowable
stress
Ri inside radius of the shell
Ro=
outside radius of the shell
If the thickness of the Shell exceeds 50% of the inside radius, or when the
pressure exceeds 0.385SE, the lame equation should be used to calculate the vessel-
shell thickness. The following forms of the lame equation are given by the code.
t = Ri(Vz-l) = Ro (Vz-1)/Vz
Where, z = S.E+P/(S.E-P)
The equation for ellipsoidal head thickness is given by
7
Di = inside diameter of the shell
Do=outside diameter of the shell
CHAPTER
.1
INTRODU
CTION
8
Pressure vessels are in accordance with ASME code. The code gives for thickness
and stress of basic components, it is up to the designer to select appropriate analytical
as procedure for determining stress due to other loadings. The designer must
familiarize himself with the various types of stresses and loadings in order to
accurately apply the results of analysis. Designer must also consider some adequate
stress or failure theory in order to confine stress and set allowable stress limits.
The methods of design are primarily based on elastic analysis. There are also
other criteria such as stresses in plastic region, fatigue, creep, etc. which need
consideration in certain cases. Elastic analysis is developed on the assumption that the
material is isotropic and homogeneous and that it is loaded in the elastic region. This
analysis is not applicable in the plastic range. Under cyclic variation of load causing
plastic flow, the material to hardens and the behavior of material becomes purely
elastic. This is a phenomenon called shakedown or cessation of plastic deformation
under cyclic loading.
Limit analysis is concerned with calculating the load or pressure at which flow of
jfitructure material occurs due to yielding. However, this method is not usually applied
to Resign of pressure vessels. When vessels are subjected to cyclic loading, it is
necessary to consider requirements for elastic cycling of the material and the effects of
this on component behavior. In the case of a discontinuity of shape, load may give rise
9
to plastic cycling. Under these conditions, shakedown with occur. Maximum
shakedown load is twice the first yield load. Therefore, an elastic analysis is valid up
to the range of load, under cyclic loading conditions. A factor of safety on the stress or
a factor of safety of twenty is applied on the numbers cycles. Design stress is accepted
as the lower value.
CHAPTER.2 SCOPE
OF THE PROJECT
I The ever-increasing use of vessel has given special emphasis to analytical and
experimental methods for determining their emphasis to analytical and experimental
methods for determining their operating stresses. Of equal importance is the
appraising the significance of these stresses. This appraisal entails the means of
determining the values and extent of the stresses and strains, establishing the
10
behaviour of the material ■involved, and evaluating the compatibility of these two
factors in the media or environment to which they are subjected. Knowledge of
material behaviour is required not only to avoid failures, but also equally to permit
maximum economy of material choice and amount used.
CHAPTER.3
■
DESIGN CRITERIA
American, Indian, British, Japanese, German and many other codes are available
for design of pressure vessels. However the internationally accepted for design of
pressure vessel code is American Society of Mechanical Engineering (ASME).
11
Various codes governing the procedures for the design, fabrication, inspection,
testing and operation of pressure vessels have been developed; partly as safety
measure. These procedures furnish standards by which, any state can be assured of the
safety of pressure vessels installed within its boundaries. The code used for unfired
pressure vessels is Section VIII of the ASME boiler and pressure vessel code. It is
usually necessary that the pressure vessel equipment be designed to a specific code in
order to obtain insurance on the plant in which the vessel is to be used. Regardless of
the method of design, pressure vessels with in the limits of the ASME code
specification are usually checked against these specifications.
3.3 DEVELOPMENT AND SCOPE OF ASME CODE
The introduction to the code stated that public hearings on the code should be held
every two years. In 1918, a revised edition of the ASME code was issued. In 1924, the
code was revised with the addition of a new section VIII, which represented a new
code for unfired pressure vessels.
12
In 1931, a joint API-ASME committee on unfired pressure vessels was appointed
to prepare a code for safe practice in the design, construction, inspection and repair of
unfired pressure vessels.
The first step in the design of any vessel is the selection of the type best suited for
the particular service in question. The primary factors influencing this choice are,
13
Open vessels are commonly used as surge tanks between operations, as vats for
batch operations where materials be mixed and blended as setting tanks, decarters,
chemical reactors, reservoirs and so on. Obviously, this type of vessels is cheaper than
covered or closed vessel of the same capacity and construction. The decision as to
whether or not open vessels may be used depends up on the fluid to be handled and
the operation.
1
Combustible fluids, fluids emitting toxic or obnoxious fumes and gases must be
stored in closed vessels. Dangerous chemicals, such as acid or caustic, are less
hazardous if stored in closed vessels. The combustible nature of petroleum and its
products associates the use of closed vessels and tanks throughout the petroleum and
petrochemical industries. Tanks used for the storage of crude oils and petroleum
products and generally designed and constructed as per API specification for welded
oil storage tanks.
14
3.6.4 CYLINDRICAL VESSELS WITH FORMED ENDS
Closed cylindrical vessels with formed heads on both ends used where the
vapour pressure of the stored liquid may dictate a stronger design, codes are
developed through the efforts of the American petroleum Institute and the American
Society of Mechanical Engineering to govern the design of such vessels. These
vessels are usually less than 12 feet in diameter. If a large quantity of liquid is to be
stored, a battery of vessels may be used.
Storage containers for large volume under moderate pressure are usually
fabricated in the shape of a sphere or spheroid. Capacities and pressures used in these
types of yessels vary greatly for a given mass; the spherical type of tank is more
economical for large volume, low-pressure storage operation.
15
Heat exchanges and storage vessels are either horizontal or vertical. If the vessel to be
installed outdoor, wind loads etc, are to be calculated to prevent overturning, thus jhorizontal is
more economical. However, floor space, ground area and maintenance requirements should be
considered.
Carbon steels can be used down to 60 degree C. Notch ductility is controlled in such as
materials through proper composition steel making practice, fabrication practice and heat
treatment. They have an increased manganese carbon ratio. Aluminium is usually added to
promote fine grain size and improve notch ductility.
Ductility of certain materials including carbon and low alloy steels is considerably
diminished when the operating temperature is reduced below certain critical value is usually
described as the transition temperature, depends upon the material, method of manufacture,
previous treatment and stress system present. Below transition temperature, fracture may take
place in a brittle manner with little or no deformation. Whereas, at temperatures above the
transition temperature, fracture occurs only after considerable plastic strain or deformation.
3.6.8 VESSELS OPERATING AT ELEVATED TEMPERATURE.
Embrittlement of carbon and alloy steel may occur due to service at elevated temperature.
In most instances, brittleness is manifest only when the material is cooled to jK>om
temperature. This inhibited by addition of molybdenum and also improve tensile and creep
properties. Two main criteria in selecting the steel elevated temperature are metallurgical
strength and stability. Carbon steels are reduced in their strength properties due to rise in
temperature and are liable to creep. Therefore, the use of carbon steel is generally limited to
500dege C.
The SA-283 steels cannot be used in applications with temperatures over 340degreC.
The SA-285 steels cannot be used for services with temperature over 482degreC. However,
both SA-285 and SA-285 SA-212 steels have very low allowable stress, at higher temperature.
Vessel may be fabricated of plate steels meeting the specification of SA-7, SA-113, Grade A,
B, C&D, provided that,
1. operating temperature is between -28degreeC&360degreeC
2. The plate thickness does not exceed 1.5cm
3. The vessels does not contain lethal liquids and gases
4. The steel is manufactured by the electric furnace or open hearth process
5. The material is not used for unfired steam boilers
One of the most widely used steel for general purpose in the construction of
■ressure vessel is SA-283, Grade C. This steel has good ductility and forms welds and
machines easily. It is also one of the most economical steel suitable for pressure vessels.
[However, its use is limited to vessels with plate thickness not exceeding 1.5cm.
For vessels having shells of grater thickness. SA-285 Grade C is most widely used Hi
moderate pressure applications. In case of high pressure or large diameter vessels, high
strength steel may be used to advantage to reduce the wall thickness. SA-212, GradeB is well
suit for such application and requires a shell thickness of only 79% of that required by SA-285,
Grade C. This steel also is fabricated but is more expensive than other steels.
Now, many new series of materials like low alloy, high alloy steels, high temperature
and low temperature materials are available which can be selected to suit the requirement of
every individual need of process industry.
The important materials generally accepted for construction of pressure vessels are
indicated here. Metals used are generally divided into three groups as.
1. Low cost Cast iron, Cast carbon and low alloy steel, wrought carbon and
low alloy steel.
2. Medium cost - High alloy steel (12%chromium and above), Aluminum, Nickel,
Copper and their alloys, Lead.
3. High cost - platinum, Tantalum, Zirconium, Titanium silver.
Materials mentioned (2 & 3) groups are some times used in the form of cladding or
bonding for materials in group (1). Also, use non-metallic lining such as rubber, plastics, etc.
Vessels with formed heads are commonly fabricated from low carbon steel wherever
corrosion and temperature considerations will permit its use because of the low cost, high
strength, ease of fabrication and general availability of mild steel. Low and high alloy steel and
non-ferrous metals are used for special service.
Steels commonly used fall into two general classifications.
All formed heads are fabricated form single circular flat plate by spinning by drawing
with dies in a press. Although the cost of heads formed from flat plates involves additional cost
of forming, the use of formed heads as closures usually more economical than the use of flat
plates as closures except for small diameters.
A variety of formed heads is used for closing the ends of cylindrical vessels. These
include flanged only heads, flanged and shallow dished, torispherical, elliptical, hemispherical
and conical shaped heads. For special purposes, flat plates are used to close a vessel opening.
However flat heads are rarely used for large vessels.
For pressures not covered by the ASME code, the vessels are often equipped with
standard dished heads, whereas vessels that require code construction are usually equipped
with either the ASME - dished or elliptical dished heads. The most common shape for the
closure of pressure vessels is the elliptical dish. Most chemical and petrochemical processing
equipment such as distilling columns, desorbers, absorbers, scrubbers, heat exchangers,
pressure surge tanks and separators are essentially cylindrical closed vessels with formed ends
of one type or another.
As mentioned above, the most common types of closures for vessels under internal
pressure are the elliptical dished head (ellipsoidal head) with a major to minor axis ratio equal
to 2.0 : 1.0 and the torispherical head in which the knuckle radius is equal to 6% or more of the
inside crown radius (ASME standard dished head).
3.9 FLANGES AND FLANGED FITTINGS
A variety of attachments and accessories are essential to vessels. These include flanges
for closures, nozzles, manholes and hand holes and flanges for 2- piece vessels, supports
platforms, etc,.
Flanges may be used on the shell of a vessel to permit disassembly and removal, for
cleaning of internal parts. Flanges are also used for making connections for piping and for
nozzle attachments of opening.
A great variety of type and sizes of 'standard' flanges are available for various pressure
services. The flanges designated as "American Standards Association (ASME) B 16.5 - 1953"
are used for most steel pipelines over 3.8 cm nominal pipe sizes. These flanges are called
'companion flanges', because they are usually used in pairs. Forged steel flanges are
manufactured in the following standards types for all pressure ratings.
3.9.1 TYPES OF FLANGES
A sectional view of a welding - neck flange is shown. Welding neck flanges differ from
other flanges in that, they have a long, tapered hub, between the flange ring and the welded
joint. This hub provides a more gradual transition from the flange ring thickness fo the pipe
-wall thickness, thereby decreasing the discontinuity stresses and consequently increasing the
strength of the flange. These flanges are recommended for the handling of costly, flammable or
explosive fluids, where failure or leakage of the flange joint might disastrous consequences.
3.9.1.2 SLIP-ON FLANGES
The slip-on types of flanges are widely used because of its greater ease of aligned in
welding assembly and because of its low initial cost. The strength of this flange as calculated
from internal pressure considerations is approximately 2/3rd that of a corresponding welding-
neck type of flange. The use of this type of flange should be ' limited to moderate services,
where pressure fluctuations, temperature fluctuations, vibrations and shock are not expected to
be severing. The fatigue life of this flange is approximately l/3rd that of welding - neck flange.
The principal advantage of these flanges is that the bold holes are easily aligned and
this simplifies the erection of vessels of large diameter and usually stiff piping. Theses flanges
are also useful in cases where, frequent dismantling for cleaning or inspection is required, or
where it is necessary to rotate the pipe by swiveling the flange..
They are used extensively to blank off pressure vessel openings and hand holes, block
off pipes and valves. In this application, a valve followed by blind flange is frequently used at
the end of line to permit addition of line while it is 'on stream'.
LAPPED FLANGE BLIND FLANGE
SLIP ON FLANGES
D-----------~—:--------------~J
Figure: types of flanges
3.10 NOZZLES, OPENINGS AND REINFORCEMENTS
Nozzles and openings are necessary components of pressure vessels for the
process industries. Openings in a cylindrical shell, conical section or closure may produce
stress concentrations, adjacent to the opening and weaken that portion of the vessel. In order to
minimize such stress concentrations, it is preferable that the opening be circular in shape. As a
second choice the openings may be made elliptical, as a third choice they may be made around.
An around opening has two parallel sides and two semicircular ends. Openings of other shapes
are permissible if the vessel is tested hydrostatically.
If the opening in a closure of cylindrical vessel exceed one-half the inside diameter of
shell, the opening and closure should be fabricated. Others require reinforcement. Small sizes
of openings welded or brazed to a vessel do not require reinforcement.
■ In the case of shell, opening requiring reinforcement in vessel under internal pressure
the metal removed must be replaced by the metal of reinforcement. In addition to providing the
area of reinforcement, adequate welds must be provided to attach the metal of reinforcement
and the induced stresses must be evaluated.
Materials used for reinforcement shall have an allowable stress value equal to or greater
than of the material in this vessel wall except that, when such material is not available, lower
strength material may be used; provided, the reinforcement is increased in inversed proportion
to the ratio of the allowable stress values of the two materials to the ratio of the two materials
to compensate for the lower allowable stress value of any reinforcement having a higher
allowable stress value than that of the vessel wall.
3.11 SUPPORTS FOR VESSELS
Cylindrical and other types of vessels have to be supported by different methods. Vertical
vessels are supported by brackets, column, skirt, or stool supports, while saddles support
horizontal vessels. The choice of type of support depends on the height and diameter of the
vessel, available floor space, convenience of location, operating variables, the size of jjhe
vessel, the operating temperature and pressure and the materials of construction.
Brackets of lugs offer many advantages over other types of supports. They are
inexpensive, can absorb diametrical expansions by sliding over greased or bronze plates, jfcre
easily attached to the vessel by minimum amounts of welding, and easily leveled or shimmed
in the field. Lug supports are ideal for thick-walled vessels, but in thin-walled vessels, this type
of support is not convenient unless the proper reinforcements are used or many lugs are welded
to the vessel.
It is also necessary to ensure that, the attachment of the support to the vessel, which is
usually by fillet welds should be able to transfer the load safely from vessel to support and
that, the support should be strong enough to withstand the load of the vessel.
3.11.1 SKIRT
Vertical vessels are normally supported by means of suitable structure resting on a
reinforced concrete foundation. This support structure between the vessel and the j&undation
may consist of a cylindrical shell termed as skirt. The skirt is usually welded to the vessel
because the skirts are not required to withstand the pressure in the vessel; the selection of
material is not limited to codes. The skirt may be welded directly to the bottom dished head,
flush with the shell or to the outside of shell. There will be no stress from internal and external
pressure for the skirt, unlike for the shell, but the stresses from dead weight and from wind or
seismic bending moments will be maximum.
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3.12ANCHOR BOLT
The bottom of skirt of vessel must be securely anchored to the concrete !foundations
by means of anchor bolts embedded in the concrete to prevent over turning from bending
moments induced by seismic and wind loads.
The concrete foundation is poured with adequate reinforcing steel to carry tensile loads.
The anchor bolts may be formed from steel rounds threaded at one end and usually with a
curved or hooked end embedded in the concrete will bond to the embedded surface of the
steel.
3.13METHODS OF FABRICATION
Gray iron casting have been widely used for the mass production of small pipe fittings
and are used to a considerable extent for large items such as cast iron pipe, heat exchanger
shells and evaporator bodies because of the superior corrosion resistance of cast iron as
compared with steel. Large diameter vessels cannot be easily cast, and the strength of gray
iron is not reliable for pressure vessels service. Cast steel may be used £>r small diameter
thick walled vessels. Further more, because of its higher strength and greater reliability as
compared with cast iron; it is more suitable for high-pressure service where metal porosity is
not a problem. The vessel diameter is still limiting because of a problem in casting. Alloy cast
steel vessels can be used for high-temperature and high-pressure installation.
: Forging is a method of shaping metal that is commonly used for certain vessel jparts
such as closures, flanges and fittings. Vessels with wall thickness greater than 10cm ire often
forged. Other special methods of shaping metal such as pressing, spinning and rolling of plates
are used for forming closures for vessel shells.
Riveting was widely used prior to the improvement of modern welding !fcchniques, for
many different kinds of vessels, such as storage tanks, boilers and a verity |tf pressure vessels.
It is still used for fabrication of non-ferrous vessels such as copper and aluminium. However,
welding techniques have become so advanced, that even these materials are often welded
today.
I. Machining is the only method other than cold forming that can be used to exact tecure
tolerances. Close tolerances are required for the mating parts of the equipment. Flange faces,
bushings, and bearing surfaces are usually machined in order to provide satisfactory
alignment. Laboratory and pilot plant equipment for very high-pressure service is sometimes
machined for solid stock, pierced ingots and forgings.
It is the most widely used method of fabrication for the construction of steel vessels.
This method of construction is virtually unlimited with regard to size and is extensively used
for the fabrication and erection of large size product equipment in the field. There are two
types of fusion welding that are extensively used for fabrication of welds. These are,
30
1. The gas welding process in which a combustible, mixture of acetylene and
oxygen supply the necessary heat for fusion
2. The electric arc welding process, in which the heat of fusion is supplied by an
electric arc. Arc welding is preferred because of the reduction of heat in the
weld material, reduces the oxidation and better control of deposited weld metal.
3.14 PRESSURE TESTING OF CODE VESSELS
All pressure vessels designed to code specification except those exempted because of
small size must be tested hydrostatically, pneumatically or by means of ."PROOF TEST".
In the case of hydrostatic test, the vessel must be subjected to a hydrostatic test
pressure at least equal to one and a half times the maximum allowable pressure at the test
temperature. Following the application of the test pressure, all joints and connections snust be
inspected with the vessel under a pressure not less than 2/3'd of the test pressure. [Although
water is used in this test, any non-hazardous liquid may be used below its boiling temperature.
If the vessels are designed so that they camiot safely be filled with water (as in the case
of tall vertical towers design to handle vapours pneumatically), testing may be used. The
pneumatic test pressure should be at least 1.25 times the maximum allowable pressure at the
test temperature. In conducting pneumatic test, the pressure in the vessel should be gradually
increased to not more than half the test pressure. There after the test pressure should be raised
in increments of 1/10th of test pressure until the test pressure is reached. Following these, the
pressure should be reduced to maximum allowable pressure and held there for a sufficient
length of time to permit inspection of vessel.
The "proof test" can be used to establish the allowable working pressure in Vessels that
have parts, which the stress cannot be computed with satisfactory accuracy. In one procedure
of this test, all areas of probable high stress concentration are painted with a wash of lines or
another brittle coating. The pressure is raised and the vessel is inspected for signs of yielding
indicated by flaking or strain lines in the wash. The vessel is first observed.
Strain gauge measurements may be used in non destructive testing .In this case the
pressure is increased in increments of 1/10th the test pressure, each increment
I followed by relaxation of the pressure, until a permanent strain of 0.2% is reached. The
Vessel rating at the test temperature is equal to one-half the pressure producing this
jpennanent strain. A modification of the strain gauge measurement procedure is also kennitted
by the code. This method involves the use of measuring gauges at diametrically opposed
reference points in symmetrical structure.
In another version of the proof test, a sample used is tested to destruction and I
identical vessels are rated at the test temperature at l/5th the pressure at which the tested vessels
is failed.
iijhe pressure vessel considered here is a single unit when fabricated. However, for the
Jonvenience of design, it is divided into the following parts. J (1) Shell; (2)head or cover; (3)
nozzles; (4) support;
Most of the components are fabricated from plates or sheets. Seamless or welded
pipes can also be used. Parts of vessels formed are connected by welded or riveted joints.
32
In designing these parts and connections between them, it is essential to take r into
account, the efficiency of joints. For welded joints, the efficiency may be taken
as 100% if the joint is fully checked by a radiograph and taken as 85%, eve if it is
checked at only a few points. If the radiographic test is not carried out 50 to 80%, I
efficiency is taken. Efficiencies vary between 70 to 85% in the case of riveted joints.
All these are made for pressure vessels operating at pressures less than 200kg/kmA2.
Design procedure is primarily based on fabrication by welding.
The equation for determining the thickness of cylindrical shells of vessels under
internal pressure are based upon a modified membrane-theory equation. The modification
empirically shifts the thin wall equation to approximate the "Lame" equation for thick-
walled vessel's shown above.
'4.2 WELDING STANDARDS
r
The success of fabrication by welding is dependent upon the control of the welding
variables such as experience and training of the welder, the use of proper materials, and
welding procedures. An inexperienced welder or welder using inferior materials, incorrect
procedures can fabricate a vessel that has a good appearance but has unsound joints, which
may fail in service. Thus, it is essential that the welding variables be controlled in order to
produce sound joints in the equipment. A number of codes and standards have been published
for the puipose.
The American welding society (AWS) established the basic standards for quantifying
operators and procedures. These standards of qualification form the basis of most of the
standards in various codes. For practical purposes, therefore the rules for qualifying welders
and welding procedures are essentially the same in the various codes and standards.
Each fabrication shop should establish welding procedures best suited to its need and its
equipment. To meet the welding standards previously mentioned, it is not necessary that,
regardless of the procedures used, the welded joints must pass the qualification tests for
welding procedures. To meet welding standards, welded joints must be tested to determine
tensile strength, ductility, and soundness. The required tests for the welding procedures
specified by API standard 12C involved the following. A. For Groove Welds:
1. reduced section -section-tension test ( for tensile strength )
2. Free bend test ( for ductility)
I 3. root bend test( For soundness )
4. face bend test( for soundness)
5. Side bend test ( for soundness)
The minimum results required by the tests such as those listed above
are described in detail in the various codes. A few representative
requirements are:
a. The tensile strength in the reduced section tension test shall not be
less
than 95% of the minimum tensile strength of the material being welded
34
b. The minimum permissible elongation in the free bend test is 20%
c. The shearing strength of the welds in the transverse shear test shall
not
be less than 87% if the minimum tensile strength of the material being
welded.
d. In the various soundness tests, the convex surface of the specimen is
examined for the appearance of cracks or other defects. If any cracks
exceeds
0.3cm, in any direction, the joint is considered to have failed.
H2.1 TYPES OF WELDED JOINTS
A variety of welded joints are used in the fabrication of vessels. The selection of the
type of joint depends upon the service, the thickness of the metal fabrication procedure and
code requirements. The following figure is a diagram from the API-ASME code for unified
pressure vessels which illustrates some of the types of welded joints used in the welding of
steel plates for the fabrication of pressure vessels.
The use of welded joints may result in reduction in the strength of the part at or near
the world. This may be result of metallurgical discontinuities and residual stress. The code
rules make allowance for these factors by specifying joint efficiencies for various types of
welds with and with out stress relief and radiographing. The designs are permitted some option
in the selection of the kind of weld joint to be and in whether or not, the welded joints must be
radio graphed.
All vessel shells having a thickness greater than 1 1/4 inch or greater than ld+50)120
{where, d=inside diameter or 20 inches which ever is greater: must be thennally stress
received.
f
Vessels of any thickness can be fabricated from the following steels must be stress
relieved, SA-301.Grade B; SA-302; SA-270, Grades WC-5; SA-357; SA-387;Grades B,C,D
and E and chrome-molybdenum steel having a chrome content greater than 0.7%. In addition,
vessels having a shell thickness greater than 1.4 cm must be thermally stress relieved if they
are fabricated of the following steels: SA-202; SA-203; SA-204; SA-225; SA-299; SA-301,
Grade A, and any steel having specified molybdenum content of 0.4 to 0, 65% and a chrome
content not greater thanvO.7%. In addition, steel greater than 2.5 cm in thickness must be
stress relieved if they meet the Verification of the following: SA-212; SA-105, Grade II: SA-
181, Grade II; SA-266, Grade II SA-94; & SA-216, Grade WCB.
1 36
If high alloy steels are used, stress relieving is not required in the case of austenitic
chromium nickel steels. The increase in joint efficiency may be used if these steels are heat
treated at over 480 x C. if the vessel are constructed of ferrites chromium stainless steels,
stress relieving is required in al vessel thickness except in the case of type 415 welded with
electrodes, a process producing austenitic weld. The code gives the temperature and describes
the procedures to be used in thermal stress relieving.
Radiography examination is required for double welded butt joints. If the plastic
thickness is greater than 2.5 cm complete radio graphing of each welded joints is required, if
the vessel is fabricated of SA-202; SA-203; SA-204; SA-225; SA-299; SA-301 or SA-302.
Vessels of thickness that are fabricated if SA-353, SA-357 or SA-387. must be radio graphed.
Also vessels constructed of high alloy steels such as type 405 jwelded with straight chromium
electrodes and type -410 &430 welded with any electrodes must be radio graphed in all
thickness except when carbon content does not exceed 0,08%, the plate thickness does not
exceeded 3.8 cm and austenitic welds are used.
k.23 JOINT EFFICIENCIES AND CORROSION ALLOWANCES
In vessels for atmospheric storage, the welded joints are seldom stress relieved or radio
graphed. The welded seams may not be as strong as the adjacent rolled steel plate ■ the shell.
It has been found from experience that, an allowance may be made for such Weakness by
introducing a "joint efficiency factor E" in the equations. This factor is llways less than unity
and is specified for a given type of welded construction in the prarious codes.
The thickness of the metal, C allowed for any anticipated corrosion is then added to the
calculated required thickness, and the final thickness value rounded off to the nearest nominal
plate size of equal or greater thickness.
The temperature used in design shall not be less than the mean metal temperature
except operating conditions for parts considered. If necessary, the metal temperature shall be
determined by computation using accepted heat transfer procedures or by measurement from
37
equipment in service, under equivalent operating conditions. In no case, shall the temperature
of surface of metal exceed the maximum temperature listed in the stress tables for materials
not exceed the maximum temperature limitation specified elsewhere in ASME section VIII.
div 1.
Except for opening for inspection only, the wall thickness of a nozzle neck or other
connection shall not be less than the greater of the following.
1. The thickness computed for the applicable loadings in UG -22 plus the thickness added
for corrosion allowance in the connections.
1 38
:
Skirt is the most frequently used and the most satisfactory support for vertical
vessels. It is attached by continuous welding to the head and usually the required size of | this
welding determines the thickness of the skirt.
In calculation of the required weld size, the value of the joint efficiency is given by the
code UW -12 may be used.
DESIGN DATA
[Code
ASME SECTION VIII DIVISION 1, 2004
Fluid handled DEA
Specific gravity of fuel 1.051
Operating pressure 30 Kg/cm2
Operating temperature 40°C
Design pressure 35 Kg/cm2
Design temperature 70°C
Joint efficiency 1
Corrosion allowance 3 mm
Hydraulic test pressure 45.5 Kg/cm2
Pneumatic test pressure N/A
39
I.JHUHJ
40
U90KD
CHAPTER.5
DESIGN CALCULATIONS
41
Nominal thickness, t = 20mm Height of
ellipsoidal
head, h =
D/4= 250mm
42
t,= 17.59mm
43
Ll.2 BOTTOM HEAD
E= joint efficiency=1.0 C=
corrosion allowance= 3mm tr =
3.455x1000 2xH8xl-
0.2x3.455
t = 17.68mm
44
Nominal thickness, t = 20mm
45
20 rrirn
THICKNESS
Fig: top head and bottom head
46
5.2 DESIGN OF SHELL
Equipment Shell
Code ASME Section VIII Div
Material SA516Gr 60 118 MPa
Max Allowable Stress, S 3.434 MPa 343 K
Design Pressure, P
Design Temperature, T
SE-0.6P-
where R =internal radius E= joint
efficiency= 1.0 C= corrosion
allowance= 3mm
tr
3.434x500 +3
118x1-0.6x3.434
47
t,= 17.81mm
48
5.2.2 BOTTOM SECTION (BELOW LT1)
3.432x500 .118xl-.6x3.432
t, = 17.89mm
49
Nominal thickness, t = 20mm
50
LTI
.20 mm thick
LT 2
1000 i
53
Figure: top shell section and bottom head section
54
5.3 DESIGN OF NOZZLES
Nozzle Mark :V
Equipment : Vent with valve : 50 mm
SizeNB : ASME Section VIII
Code Div : SA 106 GrB : 118
Material MPa : 3.434 MPa : 343 K
Max Allowable Stress, S
Design Pressure, P Design
Temperature, T
A' P.Ro +C
SE + 0.4P
3.434x30.15 +3
118x1+0.4x35
3.87 mm
- 2 0 + 3
= 23 mm
From pipe tables, Standard wall thickness = 3.91 mm C =
= (3.91 x .875)+ 3
mm
Required thickness, tr =
E'-C . +C
875
From pipe tables, Standard wall thickness = 11.91 mm
57
6.421-3 . +3
875 -
6.91 mm
58
Nozzle Mark Ml
Equipment Size NB Manhole
(Code Material 600 mm
Max Allowable Stress, S ASME Section VIII D
Design Pressure, P SA 106 G r B 118 MPa
Design Temperature, T 3.452 MPa 343 K
3.452x304.8 +3
118x1+0.4x3.452
= 11.81mm
20 + 3
23 mm
mm
13.42-3 +3
.875
14.91 mm
A' P.Ro . +C
SE + 0.4P-
3.434x304.8 +3
118x1+0.4x3.434
11.76 mm
20 + 3
23 mm
mm
D' = lesser of (B' and C) = 13.42 mm E' = greater of (A' and D') =
13.42 mm
iRequired thickness, tr = +C
E'-C .
875
13.42-3 . +3
875
= 14.91 mm
A' P.Ro +C
SE + 0.4P-
3.434 x 30.15 +3
118x1+0.4x3.434
65
- 3.87 mm
= 20 + 3
= 23 mm
66
fc' = (std. wall thickness x .875) + C
(3.91x.875) + 3
6.421 mm
67
Required thickness, t, E' - C . +C
875
6.421 -3 . +3
875 .
6.91 mm
68
[Nozzle Mark Design Temperature, T I
Equipment From ANSI 3.36.10,
Size NB LT2
Code Level Transmitter 50 mm
Material ASME Section VIII Div
Max Allowable Stress, S SA 106 G r B 118 MPa
Design Pressure, P 3.452 MPa 343 K
Outside diameter, D0 = 60.3 mm
R0 = 30.15 mm
A' P.Ro -C
SE + 0.4P
3.452 x 30.15 +3
18x1+0.4x3.452
3.87 mm
= 20 + 3
23 mm
6.421-3 . +3
875 .
= 6.91 mm
Code Material 50 mm
Temperature, T
From ANSI
3.36.10,
Outside diameter, D0 = 60.3
mm R0 =
30.15
mm
A' P.Ro +C
SE + 0.4P
3.452 x 30.15 +3
118x1+0.4x3.452
3.87 mm
= 20 + 3
= 23 mm
= (3.91*.875) + 3 f =6.421
mm
73
[Required thickness, tr =
E'-C . +C
875
6.421-3 . +3
875 .
6.91 mm
= 3.87 mm
20 + 3
23 mm
6.421 mm I
76
Required thickness, tr = +C
E'-C .
875
6.421- +3
3 .875
6.91 mm
Design Temperature, T
From ANSI 3.36.10,
Outside diameter, D0 = 114.3
mm R0 = 57.15 mm
A' P.R0 + C =4.64 mm
SE + 0.4P
3.434x57.15 +3
118x1+0.4x3.434
4.64 mm
= 20 + 3
= 23 mm
= (4.78*.875) + 3 5
= 7 . 1 8 mm
1
D' = lesser of (B' and C ) = 7.18 mm E' =
79
Required thickness, tr =
E' - C . +C
875
7.18-3 . -3
875
7.78 mm
3.434x57.15 U +3
18x1+0.4x3.434-
= 4.64 mm
20 + 3
= 23 mm
7.18 mm
D') = 7.18 mm *
82
[Required thickness, tr = +C
E'-C .
875
7.18-3 . +3
875
= 7.78 m m
3,455x44.45 +3
118x1+0.4x3.455
4.29 mm
20 + 3 = 23 mm
= 6.82 mm
85
Required thickness, tr +C
F -C .
875
6.82-3 +3
- .875
7.37 mm
86
Max Allowable
Stress, S Design
Pressure, P Design
Temperature, T
From ANSI
3.36.10,
Outside diameter, D0 = 88.9
mm
R0 = 44.45 mm
87
A' P-RQ SE +C
+ 0.4P.
3.434x44.45 ll +3
18x1+0.4x3.434-
= 4.28 mm
20 + 3
23 mm
6.82 mm
88
Required thickness, tr = E' - C . +C
875
6.82-3 +3
.875
7.37 mm
Hence, considering the case (ii), reinforcement is provided for the following nozzles:
M1/M2 (Size NB: 600 mm)
A1/B2 (SizeNB: 100 mm)
B1/A2 (Size NB: 80 mm)
Limits of reinforcement:
(i) Parallel to vessel walls:
91
Greater of [(nozzle inside diameter) & (nozzle inside radius+ shell
thickness + nozzle thickness)]
(ii) Normal to vessel walls:
Lesser of [(2.5 times shell thickness) & {(2.5 times nozzle thickness)
+ (reinforcement plate thickness)}]
92
Nozzle Mark Ml
Size NB 600 mm
Code ASME Section VIII Div
Materials Shell SA516Gr
Nozzle 60 SA 106
Reinforcement 118 MPa GrB SA516
Max. Allowable Stresses 3.452 MPa Gr 60
Design Pressure
Limits:
X = Parallel to vessel wall: 2>f greater of [di and (ri +t + tn)] = 2 x
[577.84] = 1155.68 mm
93
A l = (X-do) tp x (Sp/S) = 10921.6 mm2 =
(1155.68-577.84) x20x (118/118).
94
= 11565.6 mm2 Area of shell
available, AT = (t-tr) di
= (20-17.89) x 577.84 =
1219.24 m m 2
A"=2xtrx(ro-ri)(l-Sn/S)
= 2xl7.89x(304.8-288.92)x( l - ( l 18/118) = 0
mm2
RA = A'+A" = 10337.56 mm2 Available area (AA) is greater than the required area (RA);
hence selected thickness, tp=20 mm is secure.
Nozzle Mark M2
Size NB 600 mm
Code ASME Section VIII Div 1
Materials Shell SA516Gr
Nozzle 60 SA 106 Gr
Reinforcement : 118 MPa : B S A 5 1 6 Gr
Max. allowable Stresses 3.434 MPa 60
Design Pressure
Limits:
greater of [di and (ri +t + tn)]
X = parallel to vessel wall: 2 =
2 x [577.84] =
1155.68 mm
(ii) Y = Normal to vessel wall: lesser of [2.5t and (2.5 tn + tp)] = 50
mm
A"=2xtrx(ro-ri)(l-Sn/S)
= 2 x 17.81 x(304.8-288.92)x(l-( 118/118)) = 0 mm2
RA = A'+A"
= 10291.33
mm2
Limits:
101
greater of [di and (ri +t + tn)]
X = parallel to vessel wall: 2
= 2x98.46 = 196.92
mm
Al=(X-do) tpx(Sp/S)
= (196.92-114.3) x20x (118/118)'
= 1652.4 mm2
102
RA = A'+A"
= 10291.33
mm2
103
Design Pressure
Nozzle Mark
A2/B1
Size NB
80 mm
Code
ASME Section VIII Div 1
Materials SA516Gr6
Shell Nozzle
0 SA 106 Gr
Reinforcement : 118 MPa :
B SA516Gr
3.452 MPa
Max. allowable Stresses 60
Limits: _
X = Parallel to vessel wall: 2 x greater of [di and (ri +t +tn)] =
2x73.66 = 147.32 mm
105
RA = A'+A"
= 1753.57 mm2
106
Required areas for reinforcement: A'= di x tr
= 73.66x17.89
= 1317.78 mm2
A"= 2(trxro-ri)(l-Sn/S)
= 2xl7.89x(44.45-36.83)x( l -(118/118) = 0 mm2
107
RA = A'+A"
= 1317.78 mm2
109
fig limits of nozzle reinforcement
111
5.5 ESTIMATION OF LOADS
ERECTION
Shell 2
7i/4[(Do -Di2) x h x p] = 5030.946 kg 1/3 x
Top Head 4/3 x 7i [(Ro3-Ri3) x h] = 44.478 kg
Bottom Head
1/3 x 4/3 x 7i [(Ro -Rf) x h] = 44.478 kg
Ladder
1250 kg (assumed) 35 kg (assumed)
Demister
Nozzles:
i) Nozzle Mark: V
Pipe mass: 7i/4[(do2-di2) x h x p] = 2.012 kg Type
of flange: 300# Mass of flange: 4.1 kg Total
mass = 6.112 kg
113
iv) Nozzle Mark: SP1/SP2
Pipe mass: 7i/4[(do2-di2) x h x p] = 6.741 kg
Type of flange: 300#
Mass of flange: 4.49 kg
Total mass = 11.23 kg x 2 = 22.46 kg
OPERATION
SHUT DOWN
anen 7c/4[(Do
2
-(Di+2C)2) x h x p] = 4288.88 kg 1/3 x 4/3 x 7i [(Ro3-
Top Head (Ri+2C)3) x h] = 38.238 kg 1/3 x 4/3 x 7i [(Ro3-(Ri+2C)3) x h] =
Bottom 38.238 kg
Head
Nozzles:
i) Nozzle Mark: V
Pipe mass: 7t/4[(do2-(di+2C)2) x h x p] = 1.632 kg Type
of flange: 300# Mass of flange: 4.1 kg Total mass =
5.73 kg
117
Total mass = 325.162 kg x 2 = 650.32 kg
118
Total mass of nozzles : 738.83 kg
119
5.6 CALCULATION OF MOMENT
IS 1893
120
= 8.018 kNm
121
DUE TO SEISMIC LOAD
Fundamental time period, T = 0.085 H 075 = 0.085 x (11.25)075 = 0.522 s T < 0.7
therefore, force due to vibration = 0 N
ERECTION
OPERATION
SHUT DOWN
124
7tR2SE TtDSE
= 12xl.221xl05 + 9371.082
mm
125
5.8 DESIGN OF ANCHOR BOLTS
No. of bolts, N = 12
Therefore, diameter of bolt circle, Db = 69 in = 1752.6 mm
Required area of one bolt = (T.CV(S.N) = 214.35 mm2 = 0.332 in2 which corresponds to 0.75" bolt
Adding a corrosion allowance of .12", bolt selected is of .87"
No. o f b o l t s , N = 12
Therefore, diameter of bolt circle, Db = 69 in = 1752.6 mm
Required area of one bolt = (T.C)/(S.N) = 15.47 mm2 which corresponds to 5/8" bolt
128
Hence, an M20 bolt is selected.
CHAPTER.6 ANALYSIS
Stress due to wind load, Sw = Mw x (Y/I) = 551811.975 N/m2 = .552 MPa, Where Y=Do/2 = .
52 m
1 =7t/64(Do4-Di4) = 8.337 mm4
Combined stress:
(a) Windward side: S= Sw +Sp - SI = 44.664 MPa
Combined stress:
129
(b) Leeward side: S=Sp-Sw-Sl = 41.176 MPa
OPERATION
Stress due to wind load, Sw = Mw x (Y/I) = 551811.975 N/m2 = .552 MPa, where Y=Do/2 = .
52 m,
I =?i/64(Do4-Di4) = 8.337 mm4
Stress due to wind load, Sw = Mw x (Y/I) = 551811.975 N/m2 = .552 MPa, where Y=Do/2 = .
5m
130
Stress due to erection load, SI = WAiDi = 0.797 MPa
Combined stress:
(a) Windward side: S= Sw +Sp - SI = 42.675 MPa
(b) Leeward side: S=Sp-Sw-Sl = 41.571 MPa
Combined stress:
131
6.2 SEISMIC ANALYSIS
ERECTION
Combined stress:
(c) Windward side: S= Ss +Sp - SI = 116.25 MPa
(d) Leeward side: S=Sp-Ss-Sl = -32.792 MPa
OPERATION
132
Stress due to erection load, SI = W/nDi = 1.463 MPa
Combined stress:
(c) Windward side: S= Ss +Sp - SI = 116.23 MPa
SHUT DOWN
Combined stress:
(c) Windward side: S= Sw +Sp - SI = 86.363 MPa
(d) Leeward side: S=Sp-Sw-Sl = -2.301 MPa
133
The nozzles that require reinforcement are M l , M2, B2, A l , A2 and B l . The nozzle
reinforcement thickness obtained from calculation is 20mm.
DISCUSSION
7.3 NOZZLES
134
7.5 SUPPORT
Skirt support is selected for this pressure vessel. The thickness of the skirt support obtained is
8.21mm.
7.7 ANALYSIS
In both wind analysis and seismic analysis, the combined stress of stress due to seismic load,
wind load, internal pressure and erection load is less than that of the allowable stress, so selected
thickness of shell is secure.
8. CONCLUSION
.
The column is successfully designed so that it with stand all the mechanical stresses acting
on it. The column is analyzed under various conditions of operation. All forces are carried
according to ASME codebook. The column also with stand the internal pressure of fluid at
working conditions. The various forces analyzed are pressure exerted by gas on the shell, weight
of the fluid, wind force, seismic force. The stresses in above-mentioned conditions are found out
and thickness of various parts is selected such that the stresses produced in each member are with
in the maximum allowable range. All the selected have been successfully verified and hence the
design of column is safe.
135
9. REFERENCES
■
136
6. Pressure Vessel Designing: Henry.H. Betner
137