Horizontal Pressure Vessel Calculation (Eng)
Horizontal Pressure Vessel Calculation (Eng)
Horizontal Pressure Vessel Calculation (Eng)
SUMMARY
DESIGN INPUTS
INPUTS
LOADS INPUT
DIMENSIONS INPUT
NOZZLES INPUT
DESIGN DATA
VESSEL THICKNESS
EXTERNAL PRESSURE
CALCULATION SHEET
NOZZLE THICKNESS
NOZZLE REINFORCEMENT
VESSEL WEIGHT
LOADS
STRESS
SADDLE
LIFTING LUG
REFERENCES
SYMBOLS
DESIGN INPUT
DESIGN INPUT
Contents : Condensat -
Corrosion allowance Ca : 1 mm
Nominal capacity Vn : 10 m3
LOADS INPUT
Joint efficiency E : 1 -
Operating temperature T : 90 °C
LC/D0 = 1.9 -
D0 /t= 217.4 -
DIMENSION INPUT
Factor determined from section II, part D, 0.00021738 -
subpart 3, figure G A :
DESIGN INPUT
Province : BECHAR
Town: -
importance factor Ie : 1
LOADS INPUT
Zone Acceleration Coefficient Ac : 0
WIND
Province : BECHAR
Town : Tabelbala
DIMENSION INPUT
Wind area : III
NOZZLES INPUT
DESIGN INPUT
LOADS INPUT
Shell length L : 3186 mm Base plate thickness tb : 20 mm
Distance between saddle axes LS : 2000 mm Web plate position : Ame centré -
DIMENSION INPUT
Saddle width b : 200 mm Position of lifting lug : Transversal -
Openning of the supported cylindrical shell 120 deg Lifting lug quantity : 4 -
arc θ :
Lifting lug width L1 : 178 mm
Internal diameter D : 1850 mm
Distance from saddle axe to tangente line 643 mm
Distance from bottom of baseplate to vessel 1250 mm a:
axe BC :
NOZZLES INPUT
Concrete width bS : 300 mm
DESIGN INPUT
dz 2 1 SA-106GrB 150 150 On shell
b 10 1 SA-106GrB 150 150 On shell
c 6 1 SA-106GrB 150 150 On shell
d 2 1 SA-106GrB 150 150 On shell
n 14 1 SA-106GrB 150 300 On shell
28 SA-106GrB 150 On shell
28 SA-106GrB 150 On shell
28 SA-106GrB 150 On shell
28 SA-106GrB 150 On shell
28 SA-106GrB 150 On shell
28 SA-106GrB 150 On shell
LOADS INPUT
28 SA-106GrB 150 On shell
28 SA-106GrB 150 On shell
28 SA-106GrB 150 On shell
28 SA-106GrB 150 On shell
2 14 1 SA-106GrB 150 400 On shell
Reinforcement pad
Travers the Access or α
Nozzle h (mm) Thickness
wall inspection Material
DIMENSION INPUT
(mm)
dz Yes No 20 0 10 A283C
b Yes No 0 30 10 A283C
c Yes No 0 0 10 A283C
d Yes No 0 800 10 A283C
n Yes No 0 0 10 A283C
Yes No 0 10 A283C
Yes No 0 10 A283C
Yes No 0 10 A283C
Yes No 0 10 A283C
NOZZLES INPUT
Yes No 0 10 A283C
Yes No 0 10 A283C
Yes No 0 10 A283C
Yes No 0 10 A283C
Yes No 0 10 A283C
Yes No 0 10 A283C
2 Yes No 0 30 10 A283C
0
1- Design data
Contents Condensat
Vn : Nominal capacity 10 m3 10000 L
ρ : Density 1000 Kg/m 3
Pressure
PS :Operating pressure 0.1 Mpa 14.5 Psi
P :Design pressure 1 Mpa 145.04 Psi
PT :Hydrotest pressure 1.5 Mpa 217.56 Psi
Material for vessel A283C
SY : Yield strength 206.8 Mpa 30000 Psi
Su : Tensile strength 379.2 Mpa 55000 Psi
Ca : Corrosion allowance 1 mm 0.04 in
E : joint efficiency 1
T : Design temperature 90 °C 194 F
Dimensions :
R : Internal radius of shell 925 mm 36.4 in
L : Shell length 3186 mm 125.4 in
H : Head depth 537 mm 21.1 in
a : Distance between saddle axe and tangente line 643 mm 25.3 in
LS : Distance between saddle axes 2000 mm 78.7 in
b : Saddle width 200 mm 7.9 in
θ : Openning of the supported cylindrical shell arc 120 deg 2.1 rad
2- Shell & head thickness calculation
2-2- Formulas
Allowable stress
S=min(SASME ;S2;S3)
SASME : Table 1A ASME BPVC SECTION 2
𝑆_2=𝑆_𝑦/1,6 𝐀𝐫𝐭.𝟖. 𝐃é𝐜𝐫𝐞𝐭 é𝐱𝐞𝐜𝐮𝐭𝐢𝐟 𝐍°𝟐𝟏−𝟐𝟔𝟏
final Thickness Shell thickness UG-27(1)[1] & UG-27(2)[1] Head thickness UG-32 (c )[1]
Circumferential stress t=PR/(SE-0,6P)
tf=t+Ca t=PR/(SE-0,1P)
Longitudinal stress t=PR/(2SE+0,4P)
Extreme fiber elongation of shell UG-79(d)[1] Extreme fiber elongation of head UG-79(d)[1]
2-3- Result
Allowable stress
SASME = 108.2 Mpa S2 = 129.3 Mpa S3 = 126.4 Mpa S= 108.2 Mpa
Calculated thickness t Final thickness tf Adopted thickness ta
Shell thickness Shell thickness Shell thickness
Circumferential stress 8.597 mm Circumferential stress 9.597 mm
10 mm
Longitudinal stress 4.267 mm Longitudinal stress 5.267 mm
Head thickness Head thickness Head thickness
8.6 mm 9.6 mm 10 mm
Extreme fiber elongation of shell Extreme fiber elongation of head
εf = 0.538 % εf= 0.538 %
< 5% does not require heat treatment < 5% does not require heat treatment
3- Verification of the vessel under the external pressure
3-2- Formulas
Design length of the shell Fig.UG-28.1 (a.1)
𝐿_𝐶=𝐿+2𝐻/3
3-3- Result
LC = 3544 mm LC/D0= 1.9 D0/t= 217.4 A= 0.00021738 B= 22.06
Nominal
Radius SnY SnU Access or
Nozzle diameter Material Sn (Mpa) Localisation
Rn (mm) (Mpa) (Mpa) inspection
(Inches)
𝑡_𝑏2=(3𝑃_𝑒
𝑅)/2𝐵
𝑡_𝑏3=𝑡𝑎𝑏𝑙𝑒 𝑈𝐺−45+𝐶_𝑎
4-3- Results
Nominal
tUG45 Adopted
Nozzle diameter ta (mm) tb1 (mm) tb2 (mm) tb3 (mm) tb (mm) Schedule
(mm) thickness tn (mm)
(Inches)
Diamètre
Traverse the
Nozzle nominal α (deg) F h (mm) ti (mm)
wall of vessel
(Inches)
5-2- Formulas
– If t is greater than 10 mm, openings with a Diameter of 60 mm and less do not require reinforcement
UG-36 (C ) (-2)[1]
– If t is less than or equal to 10 mm, openings with a Diameter of 89 mm and less do not require reinforcement
UG-36 (C ) (-1)[1]
– If t is less than or equal to 10 mm, openings with a Diameter of 89 mm and less do not require reinforcement
UG-36 (C ) (-1)[1]
Figure UG-37.1[1]:
Required area :
AT=𝑑 〖𝐹𝑡〗 _𝑟+2𝑡_𝑛 𝑡_𝑟 𝐹(1−𝑓_𝑟1)
The surfaces available in the case of self-reinforcement :
〖𝐴 _1=(𝐸 〗 _1 𝑡𝑎𝑐−𝐹𝑡_𝑟)𝑚𝑎𝑥(𝑑−2𝑡_𝑛 (1−𝑓_𝑟1);2(𝑡𝑎𝑐+𝑡_𝑛)−2𝑡_𝑛 (1−𝑓_𝑟1))
𝐴_2=5𝑓_𝑟2×(𝑡_𝑛−𝑡_𝑟𝑛)𝑚𝑖𝑛(𝑡𝑎𝑐;𝑡_𝑛)
𝑡_𝑐=min(6;0.7×𝑡_𝑚𝑖𝑛)
𝑜𝑧𝑧𝑙𝑒/𝑣𝑒𝑠𝑠𝑒𝑙@min(19;𝑡_𝑎𝑐;𝑡_𝑒 )" " 𝐹𝑜𝑟 𝑝𝑎𝑑/𝑣𝑒𝑠𝑠𝑒𝑙@min(19;𝑡_𝑒;𝑡_𝑛 )" " 𝐹𝑜𝑟 𝑛𝑜𝑧𝑧𝑙𝑒/𝑝𝑎𝑑)┤
The Nozzle-Pad or Nozzle-vessel weld fillet must not be less than UW-16:
𝑙𝑒𝑔=√(2 ) 𝑡_𝑐
The Pad-Vessel weld fillet must not be less than UW-16 :
𝑙𝑒𝑔=√(2 ) 𝑡_𝑚𝑖𝑛×0,5
The calculated thickness of the Nozzle :
𝑡_𝑟𝑛=(𝑃𝑅_𝑛)/(𝑆_𝑛 𝐸_1−0,6𝑃)
Corroded thickness:
𝑡_𝑖=𝑡_𝑛−𝐶_𝑎
Reinforcement limits UG-40:
𝑚𝑎𝑥(𝑑;𝑅_𝑛+𝑡𝑎𝑐+𝑡_𝑛) parallel to the vessel wall
𝑚𝑖𝑛(2.5𝑡𝑎𝑐;(2.5𝑡_𝑛 )+𝑡𝑒) 𝑁𝑜𝑟𝑚𝑎𝑙 𝑡𝑜 𝑡ℎ𝑒 𝑣𝑒𝑠𝑠𝑒𝑙 𝑤𝑎𝑙𝑙
5-3- Result
5-3-
In the case of self-reinforcement :
1-
Nominal
Nozzle diameter trn (mm) tmin (mm) tc (mm) leg1 (mm) leg3 (mm) fr1 fr2
(Inches)
Nominal
require a
Nozzle diameter AT (mm²) A1 (mm²) A2 (mm²) A3 (mm²) A41 (mm²) A43 (mm²) ∑A -AT
reinforcement
(Inches)
dz 2 - - - - - - - No (UG-36 (C))
b 10 2,188 102 397 454 79 79 -1,078 Yes
c 6 1,311 61 311 - 79 - -861 Yes
d 2 - - - - - - - No (UG-36 (C))
n 14 2,894 135 393 - 79 - -2,289 Yes
- - - - - - - - - -
- - - - - - - - - -
- - - - - - - - - -
- - - - - - - - - -
- - - - - - - - - -
- - - - - - - - - -
- - - - - - - - - -
- - - - - - - - - -
- - - - - - - - - -
- - - - - - - - - -
2.00 14 2,894 135 393 467 79 79 -1,743 Yes
5-3-
With reinforcement pad :
2-
Nominal
tmin (mm) tmin (mm) tmin (mm) tc (mm) tc (mm)
Nozzle diameter trn (mm)
Nozzle-vessel Nozzle-pad vessel-pad Nozzle-vessel Nozzle-pad
(Inches)
Nominal
Nozzle diameter AT (mm²) A1 (mm²) A2 (mm²) A3 (mm²) A41 (mm²) A42 (mm²) A43 (mm²) A5 (mm²) ∑A -AT /
(Inches)
6-2- Formulas
Full water weight : Weight of empty equipment : Content weight :
𝑊_0=𝑊_𝑣+𝑊_𝑒 𝑊_𝑣= 〖𝑊 _𝑆 (𝑊 〗 _1+𝑊_2+𝑊_3) 𝑊_𝑒=ρ_𝑒𝑎𝑢 𝑉_𝑛
𝑊_𝑆={█((10% 𝑠𝑖
(𝑊_1+𝑊_2+𝑊_3 )<26680𝐾𝑔)¦(8% 𝑠𝑖
𝑊_1=𝜌𝑎( 〖 2,18𝐷 〗 _0^2 𝑡_𝑎+𝜋𝐷_0 𝑡_𝑎 𝐿) 26680𝐾𝑔≤(𝑊_1+𝑊_2+𝑊_3 )<34020𝐾𝑔)@6% 𝑠𝑖
〖𝑃𝑟𝑜𝑐𝑒𝑑𝑢𝑟𝑒 2−17 〗 ^([2])
34020𝐾𝑔≤(𝑊_1+𝑊_2+𝑊_3 )<45360𝐾𝑔@5%
𝑠𝑖 (𝑊_1+𝑊_2+𝑊_3 )≥45360𝐾𝑔)┤
6-3- Result
Reinforceme
Nominal Flange
Thickness tn Nozzle nt pad
Nozzle diameter Flange class weight Total (Kg)
(mm) weight(Kg) weight
(Inches) (Kg)
(Kg)
dz 2.00 4.78 150.00 0.63 2.70 0.17 3.50
b 10.00 9.27 150.00 8.47 24.63 10.21 43.31
c 6.00 7.92 150.00 3.82 11.37 3.44 18.63
d 2.00 4.78 150.00 5.86 2.70 0.17 8.73
n 14.00 9.53 150.00 7.10 50.08 19.06 76.24
- - - - - - - -
- - - - - - - -
- - - - - - - -
- - - - - - - -
- - - - - - - -
- - - - - - - -
- - - - - - - -
- - - - - - - -
- - - - - - - -
- - - - - - - -
2.00 14.00 9.53 150.00 9.54 50.08 19.06 78.68
7-2- Formulas
𝑔_𝑅=√(2ln(3600𝑛_1))+0,577/√(2ln(3600𝑛_1)) 〖
𝐿_𝑍 ̅ =𝐿_𝑖 (𝑧 ̅/10,06)^ϵ 〖 𝐸𝑞 6−7 〗 ^([3]) 𝐸𝑞 6−7 〗 ^([3])
7-3- Results
FL1= 63598.23 N
FL2= 50878.58 N
FL3= 765.9877 N
FL4= 0 N
FT3= 2170.146 N
FT4= 0 N
Q0= 63598.23 N
Longitudinal force:
FL= 63598.23 N
Transversal force:
FT= 1085.073 N
Q1= 39748.89 N
Q2= 2481.112 N
Total load:
Q= 103347 N
𝑒 4−10 〗 ^([2])
〗 ^([3])
6−11 〗 ^([3])
2.1−2 〗 ^([3]) )┤
6−11 〗 ^([3])
2.1−2 〗 ^([3]) )┤
8- Stresses verification
8-2- Formulas
8-2-1- Longitudinal stresses
A-The longitudinal membrane plus bending stresses in the cylindrical shell between the supports :
Top of shell Bottom of shell
𝜎_1=(𝑃𝑅_𝑚)/(2𝑡_𝑎 )−𝑀_2/(𝜋 〖𝑅 _𝑚 〗 ^2 𝑡_𝑎 ) " " 〖𝐸𝑞 (4.15.6) 〗 ^([4])
𝜎_2=(𝑃𝑅_𝑚)/(2𝑡_𝑎 )+𝑀_2/(𝜋 〖𝑅 _𝑚 〗 ^2 𝑡_𝑎 ) " " 〖
𝜎_3={█((𝑃𝑅_𝑚)/(2𝑡_𝑎 )−𝑀_1/(𝜋 〖𝑅 _𝑚 〗 ^2 𝑡_𝑎 ) 𝑆𝑡𝑖𝑓𝑓𝑒𝑛𝑒𝑑 𝑠ℎ𝑒𝑙𝑙 𝑜𝑟 𝑎≤0,5𝑅_𝑚 " " 〖𝐸𝑞 (4.
Bottom of shell
𝜎_4={█((𝑃𝑅_𝑚)/(2𝑡_𝑎 )+𝑀_1/(𝜋 〖𝑅 _𝑚 〗 ^2 𝑡_𝑎 ) 𝑆𝑡𝑖𝑓𝑓𝑒𝑛𝑒𝑑 𝑠ℎ𝑒𝑙𝑙 𝑜𝑟 𝑎≤0,5𝑅_𝑚 " " 〖𝐸𝑞 (4.15
C-Acceptance Criteria :
The absolute value de σ1,σ2,σ3 et σ4 shall not exceed SE .
If one of the previous stresses is negative, its absolute Value must be lower à Sc such as:
𝑆_𝐶= 〖𝐾𝑡 _𝑎 𝐸 〗 _𝑦/(16𝑅_𝑚 ) 〖 𝐸𝑞 (4.15.12) 〗 ^([4])
D-Acceptance Criteria
The absolute value de τ shall not exceed min(0,8S, 0,533Sy ).
The absolute value de τ3* shall not exceed min(0,8S, 0,533Sy).
The absolute value de σ5 shall not exceed 1,25S .
8-2-3- Circumferential stress
A-Cylindrical shell without a stiffening ring or with a stiffening ring in the plane of the saddle :
𝑀_𝛽={█(𝐾_7 𝑄𝑅_𝑚 𝑤𝑖𝑡ℎ𝑜𝑢𝑡 𝑠𝑡𝑖𝑓𝑓𝑒𝑛𝑒𝑟 〖𝐸𝑞
(4.15.20) 〗 ^([4]) " " @𝐾_10 𝑄𝑅_𝑚 𝑤𝑖𝑡ℎ 𝑠𝑡𝑖𝑓𝑓𝑒𝑛𝑒𝑟 〖𝐸𝑞
(4.15.21) 〗 ^([4]) " " )┤
B-The width of the cylindrical shell that contributes to the strength of the cylindrical shell
at the saddle locationt:
𝑥_1;𝑥_2≤0,78√(𝑅_𝑚 𝑡_𝑎 ) 〖𝐸𝑞 (4.15.22) 〗 ^([4])
D-Acceptance Criteria :
The absolute value de σ6 shall not exceed S
The absolute value de σ7 shall not exceed 1,25S
8-2-4- Moment and Shear Force:
𝑀_1=−𝑄𝑎(1−(1−𝑎/𝐿_𝑒 +( 〖𝑅 _𝑚 〗 ^2−𝐻^2)/(2𝑎𝐿_𝑒 ))/(1+4𝐻/(3𝐿_𝑒 ))) 〖 ((1+(
𝑀_2=(𝑄𝐿_𝑒)/4 𝐸𝑞 (4.15.3)
〖〖 2(𝑅 〗〗 ^([4])
_𝑚 〗 ^2−𝐻^2))/(𝐿_𝑒^2 ))/(1
𝐸_𝑇=(𝑄(𝐿_𝑒−2𝑎))/(𝐿_𝑒+4𝐻/3) 〖
𝐸𝑞 (4.15.5) 〗 ^([4]) With: a ≤ 0,25Le
α_1=0,95(π−θ/2)
8-3- Result
8-3-1- Moment and Shear Force:
M1 -15122 N.m
M2 10702 N.m
ET 51648 N
Δ 1.40
α1 1.99
β 2.09
K1 0.11
K1 *
0.19
K2 1.17
K3 0.88
K4 0.40
K5 0.76
K6 0.05
K7 0.01
K8 0.34
K9 0.27
K10 0.06
Acceptance Criteria :
𝜎_1<𝑆𝐸 YES
𝜎_2<𝑆𝐸 YES
𝜎_3<𝑆𝐸 YES
𝜎_4<𝑆𝐸 YES
SC 133.4 Mpa
τ 6.5 Mpa
𝜏_(
0 Mpa
3^
𝜎_
5∗ ) 0 Mpa
Acceptance Criteria :
τ<min(0,8𝑆;0,533𝑆_𝑦) YES
𝜏_(3^∗ )<min(0,8𝑆;0,533𝑆_𝑦) NOT APPLICABLE
𝜎_5<1,25𝑆 NOT APPLICABLE
Mβ 1269.9 N.m
width of the reinforcing plate :
0,5𝑏+(0,78√(𝑅_𝑚 𝑡_𝑎 ))≤𝑎
Circumferential stresss :
σ6 -2.24 Mpa
σ7 -53.75 Mpa
Acceptance criteria:
σ6 < S YES
σ7 < 1,25S YES
_𝑎 ) " " 〖𝐸𝑞 (4.15.7) 〗 ^([4])
〖𝐸𝑞 (4.15.8) 〗 ^([4])@(𝑃𝑅_𝑚)/(2𝑡_𝑎 )−𝑀_1/(𝐾_1 𝜋 〖𝑅 _𝑚 〗 ^2 𝑡_𝑎 ) 𝑈𝑛𝑠𝑡𝑖𝑓𝑓𝑒𝑛𝑒𝑑 𝑠ℎ𝑒𝑙𝑙 𝑎𝑛𝑑 𝑎>0,5𝑅_𝑚 〖𝐸𝑞 (
𝐸𝑞 (4.15.9) 〗 ^([4])@(𝑃𝑅_𝑚)/(2𝑡_𝑎 )+𝑀_1/(𝐾_1^∗ 𝜋 〖𝑅 _𝑚 〗 ^2 𝑡_𝑎 ) 𝑈𝑛𝑠𝑡𝑖𝑓𝑓𝑒𝑛𝑒𝑑 𝑠ℎ𝑒𝑙𝑙 𝑎𝑛𝑑 𝑎>0,5𝑅_𝑚 〖𝐸𝑞 (4.1
𝑒^2 ))/(1+4𝐻/(3𝐿_𝑒 ))−4𝑎/𝐿_𝑒 ) 〖 𝐸𝑞 (4.15.4) 〗 ^([4])
〗 )
os〖 α_1 〗 )
〖𝐸𝑞 (4.15.10) 〗 ^([4]) )┤
9-2- Formulas
Nombre de nervures:
𝑛=𝐸_𝑠/500+1
𝐶_𝑐=√((2π²𝐸_𝑦)/𝑆_𝑦 )
𝑟=√(((𝑛−1)𝑏ℎ_𝑤^3)/( 〖 12𝑡 〗 _𝑤 (𝐿_𝑏−5
9-3- Result
Nombre de nervures:
n= 4
Vérification de la plaque de fourrure:
𝑏_1≥𝑚𝑖𝑛[(𝑏+1,56√(𝑅_𝑚 𝑡_𝑎 ));2𝑎] YES
Vérification de l'âme:
La force horizontale appliquée sur la section minimale des supports :
F H= 21033 N
Ab (mm²) Yb (mm) AbYb (mm3) I0 (mm4)
1 5100.36 5 25501.8 42503
2 3600 15 54000 30000
3 2950 167.5 494125 21393645.83
4 4000 325 1300000 133333.33
∑ 15650.36 512.5 1873626.8 21599482.16
C1= 120 mm db= 868 mm I= 21599482.2 mm4 σb= 101 Mpa σb< 0,66Sy YES
f1= 6.188 Mpa r= 281.49 mm Khw/r = 0.524 Cc = 137.67 F1= 123.98 Mpa
Ͳǡͷܹ
ܲை ൌ 𝑃_𝑇𝑂=𝑃_𝑂 cos〖 θ_1 〗 𝑃_𝐿𝑂=𝑃_𝑂 sin〖 θ_1 〗
Ʌଵ
Calcul du diamètre de vis de manille :
𝑑_1=2√(𝑃_𝑂/(0,45π𝑆_𝑦 ))
σ_𝑎=𝑃_𝐿𝑂/((𝐿_1−𝑑_2 ) 𝑡_𝑂
σ_𝑏=(6𝑃_𝑇𝑂
) τ=𝑃_𝑇𝑂/((𝐿_1−𝑑_2
𝐻_1)/(𝐿_1^2 𝑡_𝑂 ) ) 𝑡_𝑂 )
10-3- Result
Calcul des forces :
PO= 29660 N PTO= 25686.31 N PLO= 14830 N
Thickness adaptée tO = 15 mm
[1] ASME Boiler & Pressure Vessel Code section VIII Rules for construction of pressure vessel Division 1
[2] PRESSURE VESSEL DESIGN MANUAL Fourth edition Dennis R. Moss & Michael Basic
[3] SEI/ASCE 7-02 Minimum Design Loads for Buildings and Other Structures
[4] ASME Boiler & Pressure Vessel Code section VIII Rules for construction of pressure vessel Division 2
[5] AISC Specification for Structural Steel Buildings Allowable Stress Design and Plastic Design
Symbol Designation Value
- Contents Condensat
Ca corrosion allowance 1
P Design pressure 1
R Internal radius of shell 925
Vn Capacité nominal 10
ρeau Density de l'eau 1000
PS Operating pressure 0.1
PT Pressure de l'essais hydrostatique 1.5
- Material for vessel A283C
SASME Allowable stress of the vessel 15700
S2 Contrainte maximal admissible decret N° 21-261 calculé avec Yield strength -
S3 Contrainte maximal admissible decret N° 21-261 calculé avec Tensile strength -
Sy Yield strength de la cuve 30000
Su Tensile strength de la cuve 55000
E Joint efficiency 1
T Operating temperature 90
L Shell length 3186
H Head depth 537
C Distance entre l'axe du support et la ligne de jonction 593
LS Distance between saddle axes 2000
b Saddle width 200
θ Openning of the supported cylindrical shell arc 120
A Factor determined from la section II, part D,subpart 3, figure G 0.00021738
B
Factor determined fromapplicable material tableou du
tableau de la section II, part D,subpart 3 pour la température 3200
maximale de conception du métal
D0 External diameter 1870
EY Module de Young 2.88E+07
Pe External pressure 0.1
tf Final thickness -
t Thickness minimal de la cuve a l'etat corrodé -
Pa External pressure admissible -
ta Minimum thickness of nozzle required for internal and external pressure -
tb - -
tb1 Thickness requis pour la cuve sous la Pressure interieur -
tb2 Thickness requis pour la cuve sous la External pressure -
tb3 Thickness donnée du tableau UG-45 plus surThickness de corrosion -
Rn Radiusde la Nozzle -
Sn Allowable stress de la Nozzle -
tUG45 Minimum thickness of nozzle -
AT Total cross-sectional area of the reinforcement required in the considered plane -
d Diameter fini de l'ouverture circulaire -
F Facteur de corretion -
tr Required thickness of the vessel -
tn Nozzle thickness -
fr1 Facteur de reduction de la resistance -
fr2 Facteur de reduction de la resistance -
fr3 Facteur de reduction de la resistance -
fr4 Facteur de reduction de la resistance -
A1 Area in excess thickness in the vessel wall available for reinforcement -
A2 Area in excess thickness in the nozzle wall available for reinforcement -
Zone disponible pour le renforcement lorsque la buse s'étend à l'intérieur de la paroi
A3 de la cuve
-
A5 ACross‐sectional area of material added as reinforcement -
A41 Cross‐sectional area of various welds available for reinforcement -
A42 Cross‐sectional area of various welds available for reinforcement -
A43 Cross‐sectional area of various welds available for reinforcement -
E1 Joint efficiency 1
trn Required thickness of a seamless nozzle wall, using E = 1 -
h La distance qui fait saillie la Nozzle au-delà de la surface interne de la paroi -
ti Nominal thickness of internal projection of nozzle wall -
leg Fillet weld leg size -
te Thickness or height of reinforcing element -
DP External diameter de la plaque de renforcement -
tc - -
tmin - -
SP Allowable stress de la plaque de renforcement -
α Angle of the plane with the longitudinal axis -
W0 Full water weight -
Wv Vessel empty weight -
We Poids de contenu -
ρa Density de l'acier 8000
FL Reaction logitudinal -
FL1 Longitudinal force due a la deviation -
FL2 Longitudinal expansion/contraction force -
FL3 Longitudinal wind force -
FL4 Longitudinal seismic force -
FL5 Longitudinal force for bundle pulling -
FT Reaction transversal -
FT3 Transversal wind force -
FT4 Transversal seismic force -
Q Total load -
Q0 Weight of the tank on a saddle -
Q1 Total load of longitudinal force -
Q2 Total load of Transversal force -
BC Distance from bottom of baseplate to vessel axe 1250
ES Longueur de la platine du support 1640
KS Concrete stiffness -
y La fleche -
Eb Concrete young modulus 3E+10
Ib Moment of inertia of the concrete support -
bS Saddle width béton 300
hS Concrete saddle length 300
μ Coefficient de frottement acier / béton 0.4
Sa Spectral Acceleration -
Ie importance factor 1
RC Response modification coefficient 3
Sds spectral response acceleration parameter at short periods -
Sd1 spectral response acceleration parameter at long periods -
Tfo fundamental period -
T0 Period -
Ts Short period -
TL Long period -
Fa Short Period Site Coefficient (at a Period of 0.2 seconds) -
Séisme maximum considéré (risque ciblé), Réponse spectrale amortie à 5 % paramètre
SS d'accélération à de courtes périodes -
Ac Zone Acceleration Coefficient 0
FV Coefficient de site de long période (à une Period de 1 seconde) -
Séisme maximum considéré (risque-ciblé),réponse spectrale amorti a 5% paramètre
S1 d'accélération à une période de 1 seconde -
HT Height above the vessel 2185
AL Longitudinal projected area -
Cf Force coefficient -
Gf Gust factor -
qz Dynamic pressure at height z above ground -
gq peak factor for background response 3.4
gv Peak factor for wind response 3.4
gR Peak factor for resonant response -
I_z ̅ The intensity of turbulence at height z -
Qf Facteur de reponse de fond -
n1 Fréquence fondamental naturelle -
c Turbulence intensity factor -
𝑧 ̅ Equivalent height of vessel -
Li Integral length scale factor -
ϵ ̅ Integral length scale power law exponent -
Rr Resonant response factor -
Rf Calculation factor -
RH Calculation factor -
RB Calculation factor -
RL Calculation factor -
N1 Frequence reduite -
𝐿_𝑧 ̅ integral length scale of turbulence -
βa Damping ratio 0.01
𝑉 ̅_𝑧 ̅ mean hourly wind speed at height 𝑧 ̅ -
𝑏 ̅ mean hourly wind speed factor -
V Basic wind speed -
ηH Calculation factor -
ηB Calculation factor -
ηL Calculation factor -
Kz velocity pressure exposure coefficient -
Kzt Topographic factor 1
Kd Wind directionality factor 0.95
zmin Minimum design height -
𝑎 ̅ Mean hourly wind-speed power law exponent -
LT Longueur total 4260
HG Height above ground -
Af Transversal projected area -
M1 Net-section maximum longitudinal bending moment at the saddle support -
net-section maximum longitudinal bending moment between the saddle supports
M2 -
ET Force de cisaillement maximale au niveau du berceau -
a Distance entre axe support et la ligne tengente 643
Le Distance entre lignes tengente 3286
Rm Mean radius of the cylindrical shell 930
Facteur permettant de définir la contrainte de comPressure admissible pour le -
K1 matériau de la virole cylindrique
Facteur permettant de définir la contrainte de comPressure admissible pour le
-
K1* matériau de la virole cylindrique
Facteur permettant de définir la contrainte de comPressure admissible pour le
matériau de la virole cylindrique -
K2
Facteur permettant de définir la contrainte de comPressure admissible pour le
matériau de la virole cylindrique -
K3
Facteur permettant de définir la contrainte de comPressure admissible pour le -
K4 matériau de la virole cylindrique
Facteur permettant de définir la contrainte de comPressure admissible pour le -
K5 matériau de la virole cylindrique
Facteur permettant de définir la contrainte de comPressure admissible pour le -
K6 matériau de la virole cylindrique
Facteur permettant de définir la contrainte de comPressure admissible pour le -
K7 matériau de la virole cylindrique
Facteur permettant de définir la contrainte de comPressure admissible pour le -
K8 matériau de la virole cylindrique
Facteur permettant de définir la contrainte de comPressure admissible pour le -
K9 matériau de la virole cylindrique
Facteur permettant de définir la contrainte de comPressure admissible pour le -
K10 matériau de la virole cylindrique
α1 - -
Δ - -
β - -
ρ - -
σ1 - -
σ2 - -
σ3 - -
σ4 - -
σ5 - -
τ Contrainte de cisaillement -
τ3* - -
k facteur pour tenir compte de la condition citerne support 0.1
n Nombre de nervure berceau 4
σt Contrainte de membrane -
σb Contrainte de flexion -
Fh Force apliquée sur le support -
AS section transversale de l'â me au point bas du berceau -
db bras de moment de la force horizontale -
distance entre le centre de gravité de la section composite du burceau et la
C1
fibre extrême -
I moment d'inertie de la section composite du berceau -
Ab Aire de la section considéré -
Yb Distance entre axe et le centre de la section -
I0 Moment d'inertie de la section considéré -
b1 Largeur de la fourure 360
t1 Reinforcing plate thickness 10
tb Base plate thickness 20
tw Web plate thickness et des nervures 10
hw Hauteur de la plaque d'ame du support 295
εf Allongement extreme des fibres -
Rf Final average radius -
R0 original average radius -
W1 Vessel weight -
W2 Poids des Nozzles;brids et renforts de la citerne -
W3 Poids des supports de la citerne -
WS Poids soudage et autres -
Lb Longueur platine de base 1670
lb Largeur platine de base 250
CS Seismic response coefficient -
f2 Contrainte de flexion agissant sur la platine de base -
K Coefficient de flambement -
f1 Contrainte de comPressure su les nervures -
F1 Allowable stress de comPressure -
r Radiusde giration -
Cc Facteur d'elancement -
θ1 Angle entre la sangle et l'horizontale 30
PO Force de levage -
PLO Composante force de levage -
PTO Composante force de levage -
d1 Diameter de manille de levage -
d2 Diameter de trous oreille de levage -
L1 Lifting lug width 178
H1 Position trous oreille de levage 89
tO Thickness oreille de levage -
σa Contrainte de traction -
Unit
-
mm
Mpa
mm
m3
Kg/m3
Mpa
Mpa
-
Psi
Mpa
Mpa
Psi
Psi
-
°C
mm
mm
mm
mm
mm
deg
-
Psi
mm
Psi
Mpa
mm
mm
Mpa
mm
mm
mm
mm
mm
mm
Mpa
mm
mm²
mm
-
mm
mm
-
-
-
-
mm²
mm²
mm²
mm²
mm²
mm²
mm²
-
mm
mm
mm
mm
mm
mm
mm
mm
Mpa
deg
Kg
Kg
Kg
Kg/m3
N
N
N
N
N
N
N
N
N
N
N
N
N
mm
mm
N/m
mm
N/m²
m4
mm
mm
-
-
-
-
-
-
S
S
S
S
-
-
-
-
-
mm
m²
-
-
N/m²
-
-
-
-
-
Hz
-
m
m
-
-
-
-
-
-
-
m
-
m/s
-
m/s
-
-
-
-
-
-
m
-
mm
m
m²
N.m
N.m
N
mm
mm
mm
-
-
-
radians
radians
radians
deg
Mpa
Mpa
Mpa
Mpa
Mpa
Mpa
Mpa
-
-
Mpa
Mpa
N
mm²
mm
mm
mm4
mm²
mm
mm4
mm
mm
mm
mm
mm
%
mm
mm
Kg
Kg
Kg
%
mm
mm
-
Mpa
-
Mpa
Mpa
mm
-
deg
N
N
N
mm
mm
mm
mm
mm
Mpa
- N.m
- N.m