Example EN 14025 Edition 2014
Appendix A
Example
ADR module
Table of Contents
01 ADR A3+4 Minimum wall thickness acc. to EN 14025/ADR/RID DIN EN 14025:2014-02.................................... 2
02 EN07 A.5.1 Shells under internal pressure DIN EN 13445-3/7:2015-12 + DIN EN 14025:2014-02 ................... 5
03 EN07 A.5.2 Shells under internal pressure DIN EN 13445-3/7:2015-12 + DIN EN 14025:2014-02 ................... 7
04 EN08 A.5.3 Shells under external pressure DIN EN 13445-3/8:2015-12 + DIN EN 14025:2014-02 ................ 11
05 EN07 A.6.1 Shells under internal pressure DIN EN 13445-3/7:2015-12 + DIN EN 14025:2014-02 ................. 13
06 EN07 A.6.2 Shells under internal pressure DIN EN 13445-3/7:2015-12 + DIN EN 14025:2014-02 ................. 15
07 EN08 A.6.3 Shells under external pressure DIN EN 13445-3/8:2015-12 + DIN EN 14025:2014-02 ................ 19
08 EN08 A.6.4.2 Shells under external pressure DIN EN 13445-3/8:2015-12 + DIN EN 14025:2014-02 ............. 21
09 EN08 A.6.4.4 Shells under external pressure DIN EN 13445-3/8:2015-12 + DIN EN 14025:2014-02 ............. 26
10 EN08 A.6.5 Shells under external pressure DIN EN 13445-3/8:2015-12 + DIN EN 14025:2014-02 ................ 31
11 EN09 A6.6 Betr. Openings in spherical and cylindrical shells DIN EN 13445-3/9:2015-12 + DIN EN
14025:2014-02 ..................................................................................................................................................................... 33
12 EN09 A6.6 Prf. Openings in spherical and cylindrical shells DIN EN 13445-3/9:2015-12 + DIN EN
14025:2014-02 ..................................................................................................................................................................... 37
14 Summary Documentation .............................................................................................................................................. 41
Appendix: Material documentation .................................................................................................................................... 42
Layout
Input values:
Calculated values:
Critical values:
Estimated values:
1.234
1.234
1.234
1.234
Lauterbach Verfahrenstechnik GmbH
or
or
or
or
1.234
1.234
1.234
1.234
1
13.06.2016
Example EN 14025 Edition 2014
Appendix A
Example
ADR module
01 ADR A3+4
Minimum wall thickness acc. to EN 14025/ADR/RID DIN EN 14025:2014-02
Minimum thickness and test pressure acc. to EN 14025/ADR/RID
Calculation temperature
Filling/draining pressure
Maximum filling height
Outside diameter
Inside diameter
Actual wall thickness
Weld joint factor
T
PF
HF
De
Di
em
λS
(0 for gravity draining)
(>0 for gravity draining)
(0.8/0.9/1)
Minimum thickness acc. to ADR 6.8.2.1.18 (for structural steel: 5mm
for D≤1800mm, 6 mm for D>1800mm)
e0
Specific weight of fill medium
Vapor pressure at 50°C
Boiling point above 35°C
Total weight with charge
Dead weight
γF
Pvap
SP
GW
Tare
(0=No 1=Yes)
Type of material (1=fine grain steel, 2=other steel, 3=aluminum)
Material code
Strength
(Operation, exception, Rp, Rm etc.)
Safety factor
(Operation, exception)
Tensile strength at 20°C
Proof stress at 20°C Rp02, Rp1
Allowable stress at operation acc. to EN 14025
Allowable stress for ADR/RID Min[0.5*Rm20; 0.75*Rp20]
Rupture elongation
WS
1.4404(H)
K
S
Rm20
Rp20
f
fT
A1
Results
Operating pressure acc. to EN14025 6.2 Max(PB, MWP)
Required wall thickness Min(eT, eC, e1)
Material
Conditions satisfied!
Calculation pressure
PC
Test pressure
Ptest
Static pressure component
Max(PF, Pstat)
Dynamic pressure
Dynamic operating pressure Pvap - 0.1MPa + Pdyn
Minimum thickness for testing acc. (A.3)
Minimum thickness for operation acc. (A.4)
Equivalent thickness
Lauterbach Verfahrenstechnik GmbH
PEN
eMin
4 bar
4 bar
2
=
=
PC
PT
Pstat
MWP
Pdyn
PB
eT
eC
e1
100
0.3
2300
2300
°C
MPa
mm
mm
mm
mm
0.8
6 mm
1
0.2
0
34000
4000
kg/dm³
MPa
(0,1)
kg
kg
2 (1-3)
430
3
530
260
143.3
195
40
MPa
MPa
MPa
MPa
%
0.3 MPa
mm
0.4
0.4
0.023
0.3
0.1417
0.2417
MPa
MPa
MPa
MPa
MPa
MPa
mm
mm
3.635 mm
13.06.2016
Example EN 14025 Edition 2014
Appendix A
Example
ADR module
Equations for P
6.2 Table 1
PC =
For
For
= Calculation pressure acc. ADR 6.8.2.1.18 distinguishes among
0.4 MPa
Pvap
0.2 ≤ 0.11
=
Pvap =
PCmin = 0.15
for
0.2 > 0.11
(SP =
PCmin = 0.4
for
(SP =
holds:
for
(PF
=
0.3 = 0)
for
(PF
=
0.3 <> 0)
holds:
0
= 1,
Boiling point > 35°C)
0
= 0,
Boiling point ≤ 35°C)
with G = Pstat for gravity draining (PF = 0)
Test pressure
[bar]
G
1.5
2.65
4
4
4
[bar]
G
1.5
2.65
4
10
15
Calculation pressure
PC
Test pressure PT acc. to Table Appendix A.4 and 6.8.2.4.1 ADR/RID in bar
10
21
Equations for e
Minimum thickness acc. branch A and B in calculation diagram Fig. 1.
(A.3)
(A.3)
Eq.(A.4) and ADR 6.8.2.1.18
Lauterbach Verfahrenstechnik GmbH
3
13.06.2016
Example EN 14025 Edition 2014
Appendix A
Example
ADR module
Conditions for the material
A.2.12 Section 6.8.2.1.11: For welded steel tanks holds
A.2.13 Section 6.8.2.1.12: For the rupture elongation holds
For fine grain steels: A ≥ 16%
For other steels: A ≥ 20%
For aluminum alloys: A ≥ 12%
Conditions satisfied!
Lauterbach Verfahrenstechnik GmbH
4
13.06.2016
Example EN 14025 Edition 2014
Appendix A
Example
ADR module
02 EN07 A.5.1
Shells under internal pressure DIN EN 13445-3/7:2015-12 + DIN EN 14025:2014-02
7.4.2 Cylindrical shells under internal pressure
Regulation
EN 14025: Tanks for the transport of dangerous goods
Load case
Testing
Calculation temperature
t
Calculation pressure
P
100 °C
0.4 MPa
Nominal wall thickness
Outside diameter
Weld factor
en
De
λS
5 mm
2309 mm
0.8
Material
Material designation
Wall thinning allowance
Corrosion allowance
Thinning allowance during manufacturing
Sum of allowances
Material strength
(Re, Rp, Rm)
Safety factor
Nominal design stress
1.4404(H)
δe
c
δm
∑(δ)
K
S
f
0.4
0
0
0.4
260
1.05
247.6
Result
Inside diameter
Mean diameter
Geometrical ratio
Analysis thickness
en - ∑(δ)
Required thickness
Required thickness with allowances
Maximum allowable pressure
Allowable unreinforced opening outside shell discontinuities
Di
Dm
e/De
ea
e
eδ
Pmax
dA1
Load case
Testing
Strength condition
fulfilled
Geometrical condition
fulfilled
The requirements acc. EN 14025 are fulfilled.
MPa
mm
mm
mm
mm
mm
MPa
mm
fulfilled
fulfilled
fulfilled
Allowable stress for testing acc. EN 14025
Tensile strength
20°C
Yield stress
20°C
(Rp02 or Rp1)
Nominal design stress
= Min[0.5·Rm20; 0.75·Rpe]
Lauterbach Verfahrenstechnik GmbH
2300
2305
0.001007
4.6
2.324
2.724
0.7908
361.1
mm
mm
mm
mm
MPa
5
Rm20
Re
f
530 MPa
260 MPa
247.6 MPa
13.06.2016
Example EN 14025 Edition 2014
Appendix A
Example
ADR module
Equations
(1)
Strength condition
fulfilled
Geometrical condition
fulfilled
(7.4-3)
Lauterbach Verfahrenstechnik GmbH
6
13.06.2016
Example EN 14025 Edition 2014
Appendix A
Example
ADR module
03 EN07 A.5.2
Shells under internal pressure DIN EN 13445-3/7:2015-12 + DIN EN 14025:2014-02
7.5.3 Torispherical ends under internal / external pressure (Korbbogenboden type)
Regulation
EN 14025: Tanks for the transport of dangerous goods
Load case
Testing
Calculation temperature
t
Calculation pressure
(ext. pres. acc.8.8.2: P<0)
P
100 °C
0.4 MPa
Nominal wall thickness
Outside diameter
Weld factor
en
De
λS
5 mm
2310 mm
1
Material
Material designation
Wall thinning allowance
Corrosion allowance
Thinning allowance during manufacturing
Sum of allowances
Material strength
(Re, Rp, Rm)
0.2% proof stress at operation
0.2% proof stress at ambient temperature
Safety factor
Nominal design stress
f=fd
acc. EN 14025
Allowable buckling stress
fb = fd = f
acc. EN 14025
1.4404(H)
δe
c
δm
∑(δ)
K
Rp02T
Rp02R
S
f
fb
0.4
0
0
0.4
260
166
220
1.05
247.6
247.6
Lauterbach Verfahrenstechnik GmbH
7
mm
mm
mm
mm
MPa
MPa
MPa
MPa
MPa
13.06.2016
Example EN 14025 Edition 2014
Appendix A
Result
Maximum allowable
pressure
Pmax
Min(Ps,Py,Pb)
Analysis thickness
Required wall thickness
Max(es, ey, eb)
Required thickness with allowances
Required thickness of spherical part, membrane
Required thickness of knuckle, yield
Required thickness of knuckle, plastic buckling
Example
ADR module
en - ∑(δ)
MPa
ea
e
eδ
es
ey
eb
4.6
3.072
3.472
1.493
2.376
3.072
mm
mm
mm
mm
mm
mm
Inside diameter
Inside radius of spherical part
Outside diameter of knuckle
Inside radius of knuckle
Di
R
DKe
r
2301
1848
3706
355.7
mm
mm
mm
mm
Geometrical ratio
Geometrical ratio
Calculation coefficient
R/De
r/De
β
0.8
0.154
0.7967
Thickness reduction distance √(R·e) acc. 7.5.3.4
Limit skirt height 0.2·√(Di·e) acc. 7.5.3.4
Actual skirt height
Required skirt height
Crown height
Allowable unreinforced opening (completely in crown area)
l
h
ha
h
h2
dA1
7.5.3.5
Load case
Testing
Strength condition
fulfilled
Geometrical conditions
fulfilled
The requirements acc. EN 14025 are fulfilled.
mm
mm
mm
mm
mm
mm
fulfilled
fulfilled
fulfilled
Allowable stress for testing acc. EN 14025
Tensile strength
20°C
Yield stress
20°C
(Rp02 or Rp1)
Nominal design stress
= Min[0.5·Rm20; 0.75·Rpe]
Lauterbach Verfahrenstechnik GmbH
75.35
16.82
15
9.217
585.9
1084
Rm20
Re
f
8
530 MPa
260 MPa
247.6 MPa
13.06.2016
Example EN 14025 Edition 2014
Appendix A
Example
ADR module
Equations
(7.5-1)
(7.5-2)
The auxiliary values for β (X, Y, Z, N at the end of mask) have been calculated iteratively with the required
thickness e.
(7.5-3)
Strength condition
fulfilled
Geometrical conditions
fulfilled
Rating of the permissible pressure
(7.5-6)
(7.5-7)
Lauterbach Verfahrenstechnik GmbH
9
13.06.2016
Example EN 14025 Edition 2014
Appendix A
Example
ADR module
(7.5-8)
Parameter
Y =
Parameter
β0.06 =
β =
0.001663
1.705
Z =
2.779 ,
β0.1 =
X =
1.119
0.1546 ,
β0.2
=
N =
0.8447
0.5287
0.7967
Lauterbach Verfahrenstechnik GmbH
10
13.06.2016
Example EN 14025 Edition 2014
Appendix A
Example
ADR module
04 EN08 A.5.3
Shells under external pressure DIN EN 13445-3/8:2015-12 + DIN EN 14025:2014-02
Spherical shells acc. to 8.7.1
Regulation
(0=EN13445-3, 1=EN14025)
EN 14025:
Tanks for the transport of dangerous goods, section 6.4
Load case
Safety factor acc. to section 8.4.4
S
Calculation temperature
t
Calculation pressure
P
Nominal wall thickness
en
Mean radius of the shell
R
Material properties of the spherical shell
Material designation
Poisson's ratio
Austenitic steel?
Wall thinning allowance
Corrosion allowance
Thinning allowance during manufacturing
Sum of allowances
Strength acc. to specification (Re, Rp, Rm)
Safety factor according to section 8.4.4
Modulus of elasticity
0.2% proof stress at operating temperature
0.2% proof stress at room temperature
allowable elastic limit
(Rpx, Rpx/1.25)
Curvature deviation greater than 30%?
Lauterbach Verfahrenstechnik GmbH
ν
1 (0,1)
Testing
1.1
20
0.4
8
1848
°C
MPa
mm
mm
1.4404(H)
δe
c2
δm
∑(δ)
K
S
E
Rp02
Rp02p
σe
0.3
Yes
0.5
0
0
0.5
260
1.1
200000
220
220
176
mm
mm
mm
mm
MPa
N/mm²
MPa
N/mm²
No
11
13.06.2016
Example EN 14025 Edition 2014
Appendix A
Results
Analysis wall thickness
Limit pressure for circumferential yield
Theoretical instability pressure
Ratio
Ratio
allowable pressure
(pr/S)
Condition
P=
ea
py
(8.7.1-1)
(8.7.1-2)
pm
pm/py
pr/py
pall
(8.5-5)
0.4 <
The strength condition is
fulfilled
for load case
Testing
0.5382 = pall
Example
ADR module
7.5 mm
1.429 MPa
3.986 MPa
2.79
0.4144
0.5382 MPa
fulfilled
(8.7.1-1)
(8.7.1-2)
at shape deviation < 30%
(8.7.1-3)
Max. measuring length of curvature deviation acc. to 8.7.2:
Acc. to section 8.4.1 vessels under external pressure pe must also be calculated for internal pressure pi=pe per
section 7 (EN07 module)
Vessel ends acc. to section 8.8
Hemispherical ends shall be designed acc. to the rules for spheres.
The mean sphere radius for torispherical shells is R=crown outside radius and for the stress calculation acc.
7.5.2 (inside pressure P<0 with module EN07) holds N=1.
For semi-ellipsoidal ends the mean sphere radius is R=D²/(4h).
Lauterbach Verfahrenstechnik GmbH
12
13.06.2016
Example EN 14025 Edition 2014
Appendix A
Example
ADR module
05 EN07 A.6.1
Shells under internal pressure DIN EN 13445-3/7:2015-12 + DIN EN 14025:2014-02
7.4.2 Cylindrical shells under internal pressure
Regulation
EN 14025: Tanks for the transport of dangerous goods
Load case
Operation
Calculation temperature
t
Calculation pressure
P
100 °C
0.3 MPa
Nominal wall thickness
Outside diameter
Weld factor
en
De
λS
6 mm
2311 mm
0.8
Material
Material designation
Wall thinning allowance
Corrosion allowance
Thinning allowance during manufacturing
Sum of allowances
Material strength
(Re, Rp, Rm)
Safety factor
Nominal design stress
1.4404(H)
δe
c
δm
∑(δ)
K
S
f
0.4
0
0
0.4
430
3
143.3
Result
Inside diameter
Mean diameter
Geometrical ratio
Analysis thickness
en - ∑(δ)
Required thickness
Required thickness with allowances
Maximum allowable pressure
Allowable unreinforced opening outside shell discontinuities
Di
Dm
e/De
ea
e
eδ
Pmax
dA1
Load case
Operation
Strength condition
fulfilled
Geometrical condition
fulfilled
The requirements acc. EN 14025 are fulfilled.
Lauterbach Verfahrenstechnik GmbH
2300
2306
0.001304
5.6
3.013
3.413
0.557
348.7
mm
mm
mm
mm
MPa
MPa
mm
mm
mm
mm
mm
MPa
mm
fulfilled
fulfilled
fulfilled
13
13.06.2016
Example EN 14025 Edition 2014
Appendix A
Example
ADR module
Equations
Nominal design stress for the selected load case
(1)
Strength condition
fulfilled
Geometrical condition
fulfilled
(7.4-3)
Lauterbach Verfahrenstechnik GmbH
14
13.06.2016
Example EN 14025 Edition 2014
Appendix A
Example
ADR module
06 EN07 A.6.2
Shells under internal pressure DIN EN 13445-3/7:2015-12 + DIN EN 14025:2014-02
7.5.3 Torispherical ends under internal / external pressure (Korbbogenboden type)
Regulation
EN 14025: Tanks for the transport of dangerous goods
Load case
Operation
Calculation temperature
t
Calculation pressure
(ext. pres. acc.8.8.2: P<0)
P
100 °C
0.3 MPa
Nominal wall thickness
Outside diameter
Weld factor
en
De
λS
6 mm
2310 mm
1
Material
Material designation
Wall thinning allowance
Corrosion allowance
Thinning allowance during manufacturing
Sum of allowances
Material strength
(Re, Rp, Rm)
0.2% proof stress at operation
0.2% proof stress at ambient temperature
Safety factor
Nominal design stress
f=fd
acc. EN 14025
Allowable buckling stress
fb = fd = f
acc. EN 14025
1.4404(H)
δe
c
δm
∑(δ)
K
Rp02T
Rp02R
S
f
fb
0.4
0
0
0.4
430
166
220
3
143.3
143.3
Lauterbach Verfahrenstechnik GmbH
15
mm
mm
mm
mm
MPa
MPa
MPa
MPa
MPa
13.06.2016
Example EN 14025 Edition 2014
Appendix A
Result
Maximum allowable
pressure
Pmax
Min(Ps,Py,Pb)
Analysis thickness
Required wall thickness
Max(es, ey, eb)
Required thickness with allowances
Required thickness of spherical part, membrane
Required thickness of knuckle, yield
Required thickness of knuckle, plastic buckling
Example
ADR module
en - ∑(δ)
MPa
ea
e
eδ
es
ey
eb
5.6
3.649
4.049
1.935
3.044
3.649
mm
mm
mm
mm
mm
mm
Inside diameter
Inside radius of spherical part
Outside diameter of knuckle
Inside radius of knuckle
Di
R
DKe
r
2299
1848
3708
355.7
mm
mm
mm
mm
Geometrical ratio
Geometrical ratio
Calculation coefficient
R/De
r/De
β
0.8
0.154
0.788
Thickness reduction distance √(R·e) acc. 7.5.3.4
Limit skirt height 0.2·√(Di·e) acc. 7.5.3.4
Actual skirt height
Required skirt height
Crown height
Allowable unreinforced opening (completely in crown area)
l
h
ha
h
h2
dA1
82.12
18.32
18
10.95
585.2
1082
7.5.3.5
Load case
Operation
Strength condition
fulfilled
Geometrical conditions
fulfilled
The requirements acc. EN 14025 are fulfilled.
Lauterbach Verfahrenstechnik GmbH
mm
mm
mm
mm
mm
mm
fulfilled
fulfilled
fulfilled
16
13.06.2016
Example EN 14025 Edition 2014
Appendix A
Example
ADR module
Equations
Nominal design stress for the selected load case
(7.5-1)
(7.5-2)
The auxiliary values for β (X, Y, Z, N at the end of mask) have been calculated iteratively with the required
thickness e.
(7.5-3)
Strength condition
fulfilled
Geometrical conditions
fulfilled
Rating of the permissible pressure
(7.5-6)
Lauterbach Verfahrenstechnik GmbH
17
13.06.2016
Example EN 14025 Edition 2014
Appendix A
Example
ADR module
(7.5-7)
(7.5-8)
Parameter
Y =
Parameter
β0.06 =
β =
0.001975
1.665
Z =
2.705 ,
β0.1 =
X =
1.102
0.1548 ,
β0.2
=
N =
0.8447
0.5281
0.788
Lauterbach Verfahrenstechnik GmbH
18
13.06.2016
Example EN 14025 Edition 2014
Appendix A
Example
ADR module
07 EN08 A.6.3
Shells under external pressure DIN EN 13445-3/8:2015-12 + DIN EN 14025:2014-02
Spherical shells acc. to 8.7.1
Regulation
(0=EN13445-3, 1=EN14025)
EN 14025:
Tanks for the transport of dangerous goods, section 6.4
Load case
Safety factor acc. to section 8.4.4
S
Calculation temperature
t
Calculation pressure
P
Nominal wall thickness
en
Mean radius of the shell
R
Material properties of the spherical shell
Material designation
Poisson's ratio
Austenitic steel?
Wall thinning allowance
Corrosion allowance
Thinning allowance during manufacturing
Sum of allowances
Strength acc. to specification (Re, Rp, Rm)
Safety factor according to section 8.4.4
Modulus of elasticity
0.2% proof stress at operating temperature
0.2% proof stress at room temperature
allowable elastic limit
(Rpx, Rpx/1.25)
Curvature deviation greater than 30%?
Lauterbach Verfahrenstechnik GmbH
ν
1 (0,1)
Operation
1.5
100
0.3
8
1848
°C
MPa
mm
mm
1.4404(H)
δe
c2
δm
∑(δ)
K
S
E
Rp02
Rp02p
σe
0.3
Yes
0.5
0
0
0.5
430
1.5
194000
166
220
132.8
mm
mm
mm
mm
MPa
N/mm²
MPa
N/mm²
No
19
13.06.2016
Example EN 14025 Edition 2014
Appendix A
Results
Analysis wall thickness
Limit pressure for circumferential yield
Theoretical instability pressure
Ratio
Ratio
allowable pressure
(pr/S)
Condition
P=
ea
py
(8.7.1-1)
(8.7.1-2)
pm
pm/py
pr/py
pall
(8.5-5)
0.3 <
The strength condition is
fulfilled
for load case
Operation
0.3481 = pall
Example
ADR module
7.5 mm
1.078 MPa
3.866 MPa
3.587
0.4844
0.3481 MPa
fulfilled
(8.7.1-1)
(8.7.1-2)
at shape deviation < 30%
(8.7.1-3)
Max. measuring length of curvature deviation acc. to 8.7.2:
Acc. to section 8.4.1 vessels under external pressure pe must also be calculated for internal pressure pi=pe per
section 7 (EN07 module)
Vessel ends acc. to section 8.8
Hemispherical ends shall be designed acc. to the rules for spheres.
The mean sphere radius for torispherical shells is R=crown outside radius and for the stress calculation acc.
7.5.2 (inside pressure P<0 with module EN07) holds N=1.
For semi-ellipsoidal ends the mean sphere radius is R=D²/(4h).
Lauterbach Verfahrenstechnik GmbH
20
13.06.2016
Example EN 14025 Edition 2014
Appendix A
Example
ADR module
08 EN08 A.6.4.2
Shells under external pressure DIN EN 13445-3/8:2015-12 + DIN EN 14025:2014-02
Cylindrical shells with light stiffeners according to section 8.5.3.6
Regulation
(0=EN13445-3, 1=EN14025)
EN 14025:
Tanks for the transport of dangerous goods, section 6.4
Load case
Safety factor according to section 8.4.4 (1.5, 1.1)
Calculation temperature
Calculation pressure
Nominall wall thickness of cylinder
Analysis web thickness of the stiffener
1 (0,1)
S
t
P
en
ew
Operation
1.1
100
0.04
6
8
°C
MPa
mm
mm
Material properties of the cylinder
Material designation
Austenitic steel?
Poisson's ratio (e.g.: 0.3)
Wall thinning allowance
Corrosion allowance
Thinning allowance during manufacturing
Total allowance
Strength acc. specification
(Re, Rp1, Rm)
Modulus of elasticity
0.2% proof stress at operating temperature
0.2% proof stress at room temperature
Allowable elastic limit
(Rp02, Rp02/1.25)
1.4404(H)
Yes
ν
0.3
δe
0.4 mm
c2
0 mm
δm
0 mm
∑(δ)
0.4 mm
RK
430
E
195000 MPa
Rp02
166 N/mm²
Rp02p
220 MPa
σe
132.8 N/mm²
Material properties of the stiffener
Material designation
Austenitic steel?
Modulus of elasticity
Poisson's ratio
0.2% proof stress at operating temperature
0.2% proof stress at room temperature
Allowable elastic limit
(Rp02, Rp02/1.25)
Additional safety factor for cold or hot rolled steel (1,33 or 1,20)
1.4404(H)
Yes
ES
195000 MPa
νS
0.3
Rp02S
166 MPa
Rp02Sp
220 MPa
σeL
132.8 N/mm²
Sf
1.33
Rem.:
Lauterbach Verfahrenstechnik GmbH
21
13.06.2016
Example EN 14025 Edition 2014
Appendix A
Example
ADR module
Geometrical data of stiffeners
Distance from cylinder end
Contact width of the stiffener
External height of dished end 1
Distance of two stiffeners
Contact width of the stiffener
Contact width of the stiffener
Distance of two adjacent stiffeners
Length of cylindrical section
External height of dished end 2
Lauterbach Verfahrenstechnik GmbH
L s'
w1''
h'
Ls''
w2'
w2''
Ls'''
Lcyl
h''
22
1132
0
591
1368
0
0
1368
5000
591
mm
mm
mm
mm
mm
mm
mm
mm
mm
13.06.2016
Example EN 14025 Edition 2014
Appendix A
Definition of cylinder length according to Table 8.5-1
a) Analysis of failure of a cylinder section according to 8.5.3.4
(1) between stiffener and cylinder end
(2) between two stiffeners.
Type (1 or 2) of section
Example
ADR module
1
For a stiffener at the cylinder end, please specify the distance Ls' from the end, height h' of dished end, and
profile centroid w1'', F. 8.5-6, 8.5-8
L =(
L s'
w1''
) + 0.4 ·
L =(
1132 0) + 0.4 ·
Result for the unsupported shell length
h'
(8.5.3-1)
591
L=
1368 mm
Please specify also the distance Ls'' of two stiffeners, and the appropriate profile centroids w2' and w2'' acc. to
Fig. 8.5-8
L=
Ls''
w2'
w2''
L=
1368 0 Result for the unsupported shell length
(8.5.3-2)
0
L=
1368 mm
b) Verification of the elastic stability of single stiffeners (8.5.3.6.2)
(1) for the first or last stiffener
(2) for an intermediate stiffener
Type (1 or 2) of stiffener
For stiffeners at the cylinder end with values above
Ls = (
L s'
+ 0.4 ·
h'
+ Ls''
)/2
Ls = (
1132 + 0.4 ·
591 +
1368)/2
Result for the mean distance
Please specify the distance Ls,,, of adjacent stiffeners
Ls = (
Ls''
+ Ls'''
)/2
Ls = (
1368 +
1368)/2
The mean distance results in:
(8.5.3-6)
Ls =
(8.5.3-7)
Ls =
c) Additional specifications for the whole cylinder (8.5.3.6.2)
Please specify the cylinder length Lcyl and end height h'' acc. Fig. 8.5-6
LH = ( Lcyl
+ 0.4 ·
h'
+ 0.4 ·
h'' )
LH = (
5000 + 0.4 ·
591+ 0.4
591)
·
Result for the total length of the cylinder
Lauterbach Verfahrenstechnik GmbH
1368 mm
(8.5.3-10)
LH =
23
1368 mm
5473 mm
13.06.2016
Example EN 14025 Edition 2014
Appendix A
Example
ADR module
Examination of failure between stiffeners acc. to 8.5.3.4
Specification
Analysis thickness of cylinder
Mean radius of shell
Radius of stiffener centroid
Cross sectional area of stiffener
Width of stiffener in contact with shell
ea
R
Rs
AS
w
Results
Number of circumferential buckling waves
Factor acc. Eq.
(8.5.3-19)
Calculation parameter acc. to Eq.
(8.5.3-22)
Calculation parameter acc. to Eq.
(8.5.3-21)
Factor Gamma according to Eq.
(8.5.3-16)
Modified area of stiffener,
(8.5.3-17)
Calculation parameter acc. to
(8.5.3-18)
ncyl
δ
G
N
γ
Am
B
9
0.016
0
1
0.2894
384.4 mm²
1.63
Limit pressure for circumferential yield
py
0.6457 MPa
(8.5.3-15)
5.6
1152
1127
368
8
mm
mm
mm
mm²
mm
Unsupported shell length between stiffeners
Parameter
π · R/L
Circumferential strain at collapse
L
Z
ε
Theoretical elastic buckling pressure
(8.5.2-5)
pm
0.2577 MPa
Real buckling pressure
(pr/S)
Allowable
pressure
(8.5-5)
pr
pall
0.1292 MPa
0.1175 MPa
Condition (8.5.2-8): P < pr/S is fulfilled.
Load case
Lauterbach Verfahrenstechnik GmbH
1368 mm
2.644
2.718e-4
fulfilled
Operation
24
13.06.2016
Example EN 14025 Edition 2014
Appendix A
Example
ADR module
Stability of a stiffened cylinder according to 8.5.3.6.2
a) Elastic instability, Specification of the stiffener
+1 = internal, -1 = external stiffener
Manufacturing safety factor of stiffener
Cross sectional area of stiffener
Area moment at stiffener centroid
Sf
AS
IS
Results
Mean distance between the stiffeners (Table 8.5-1)
Total length of the cylinder (Table 8.5-1)
Number of circumferential buckling waves
Factor acc. Eq.
(8.5.3-25)
Combined cross sectional area of stiffened shell
Calculation parameter
Effective length acc.
(8.5.3-34)
LS
LH
n
β
Ae
Xe
Le
x
Y1
0.07779
1.567 Y2
Area moment of shell and stiffener
Theoretical elastic buckling pressure
1.2
(u
=
Y3
Condition (8.5.3-31): P < pg/(S·Sf) is valid.
P=
0.3438 /
0.04 < pg/S/Sf
=
17.03
0.7381
1.1 /
1
1.33
368 mm²
64891 mm^4
1368
5473
4
4.648e-5
1052
11.49
122.2
)
Ie
pg
mm
mm
mm²
mm
214201 mm^4
0.3438 MPa
1.33 =
0.235
b) Maximum stress in the stiffener, additional specifications
Contact width of the stiffener
Outside radius of the stiffener
wi
Rf
8 mm
1104 mm
Results
Modified area of stiffener
Factor
Factor
Limit pressure for circumferential yield
(8.5.3-17)
(8.5.3-19)
(8.5.3-40)
Am
δ
dquer
pys
384.4 mm²
0.016
39.14
1.104 MPa
Maximum stress in the stiffener
(8.5.3-37)
σs
Condition (8.5.3-41) 0 < σs < σeL =
132.8
is:
valid
Sideways tripping of stiffeners
a) Stiffener with rectangular profile?
Radial height of the profile
Width of stiffener in contact with shell
Yes
d
ew
b) Specifications for non-rectangular profile, Figs. 8.5-14 to 8.5-17
Angle profile acc. Fig. 8.5-16
(yes=1, no=2)
Radial height of the web plate between flanges
d
Analysis web thickness of the stiffener
ew
Thickness of the profile flange
ef
Leg length of the profile flange
wf
Shell outside radius to the web plate
ri
Coefficient for non-rectangular profile
C
Instability stress for sideways tripping
Condition σi/4 > P · σeL/pys is
σi/4 =
765.3 /4 > P ·
σeL/pys =
Lauterbach Verfahrenstechnik GmbH
109 MPa
46 mm
8 mm
46 mm
8 mm
mm
mm
mm
σi
765.3 MPa
/
1.104
valid
0.04
·
132.8
25
13.06.2016
Example EN 14025 Edition 2014
Appendix A
Example
ADR module
09 EN08 A.6.4.4
Shells under external pressure DIN EN 13445-3/8:2015-12 + DIN EN 14025:2014-02
Cylindrical shells with light stiffeners according to section 8.5.3.6
Regulation
(0=EN13445-3, 1=EN14025)
EN 14025:
Tanks for the transport of dangerous goods, section 6.4
Load case
Safety factor according to section 8.4.4 (1.5, 1.1)
Calculation temperature
Calculation pressure
Nominall wall thickness of cylinder
Analysis web thickness of the stiffener
1 (0,1)
S
t
P
en
ew
Operation
1.1
100
0.04
6
8
°C
MPa
mm
mm
Material properties of the cylinder
Material designation
Austenitic steel?
Poisson's ratio (e.g.: 0.3)
Wall thinning allowance
Corrosion allowance
Thinning allowance during manufacturing
Total allowance
Strength acc. specification
(Re, Rp1, Rm)
Modulus of elasticity
0.2% proof stress at operating temperature
0.2% proof stress at room temperature
Allowable elastic limit
(Rp02, Rp02/1.25)
1.4404(H)
Yes
ν
0.3
δe
0.4 mm
c2
0 mm
δm
0 mm
∑(δ)
0.4 mm
RK
430
E
195000 MPa
Rp02
166 N/mm²
Rp02p
220 MPa
σe
132.8 N/mm²
Material properties of the stiffener
Material designation
Austenitic steel?
Modulus of elasticity
Poisson's ratio
0.2% proof stress at operating temperature
0.2% proof stress at room temperature
Allowable elastic limit
(Rp02, Rp02/1.25)
Additional safety factor for cold or hot rolled steel (1,33 or 1,20)
1.4404(H)
Yes
ES
195000 MPa
νS
0.3
Rp02S
166 MPa
Rp02Sp
220 MPa
σeL
132.8 N/mm²
Sf
1.33
Rem.:
Lauterbach Verfahrenstechnik GmbH
26
13.06.2016
Example EN 14025 Edition 2014
Appendix A
Example
ADR module
Geometrical data of stiffeners
Distance from cylinder end
Contact width of the stiffener
External height of dished end 1
Distance of two stiffeners
Contact width of the stiffener
Contact width of the stiffener
Distance of two adjacent stiffeners
Length of cylindrical section
External height of dished end 2
Lauterbach Verfahrenstechnik GmbH
L s'
w1''
h'
Ls''
w2'
w2''
Ls'''
Lcyl
h''
27
1132
0
591
1368
0
0
1132
5000
591
mm
mm
mm
mm
mm
mm
mm
mm
mm
13.06.2016
Example EN 14025 Edition 2014
Appendix A
Definition of cylinder length according to Table 8.5-1
a) Analysis of failure of a cylinder section according to 8.5.3.4
(1) between stiffener and cylinder end
(2) between two stiffeners.
Type (1 or 2) of section
Example
ADR module
1
For a stiffener at the cylinder end, please specify the distance Ls' from the end, height h' of dished end, and
profile centroid w1'', F. 8.5-6, 8.5-8
L =(
L s'
w1''
) + 0.4 ·
L =(
1132 0) + 0.4 ·
Result for the unsupported shell length
h'
(8.5.3-1)
591
L=
1368 mm
Please specify also the distance Ls'' of two stiffeners, and the appropriate profile centroids w2' and w2'' acc. to
Fig. 8.5-8
L=
Ls''
w2'
w2''
L=
1368 0 Result for the unsupported shell length
(8.5.3-2)
0
L=
b) Verification of the elastic stability of single stiffeners (8.5.3.6.2)
(1) for the first or last stiffener
(2) for an intermediate stiffener
Type (1 or 2) of stiffener
For stiffeners at the cylinder end with values above
Ls = (
L s'
+ 0.4 ·
h'
+ Ls''
)/2
Ls = (
1132 + 0.4 ·
591 +
1368)/2
Result for the mean distance
Please specify the distance Ls,,, of adjacent stiffeners
Ls = (
Ls''
+ Ls'''
)/2
Ls = (
1368 +
1132)/2
The mean distance results in:
1
(8.5.3-6)
Ls =
1368 mm
(8.5.3-7)
Ls =
c) Additional specifications for the whole cylinder (8.5.3.6.2)
Please specify the cylinder length Lcyl and end height h'' acc. Fig. 8.5-6
LH = ( Lcyl
+ 0.4 ·
h'
+ 0.4 ·
h'' )
LH = (
5000 + 0.4 ·
591+ 0.4
591)
·
Result for the total length of the cylinder
Lauterbach Verfahrenstechnik GmbH
1368 mm
(8.5.3-10)
LH =
28
1250 mm
5473 mm
13.06.2016
Example EN 14025 Edition 2014
Appendix A
Example
ADR module
Examination of failure between stiffeners acc. to 8.5.3.4
Specification
Analysis thickness of cylinder
Mean radius of shell
Radius of stiffener centroid
Cross sectional area of stiffener
Width of stiffener in contact with shell
ea
R
Rs
AS
w
Results
Number of circumferential buckling waves
Factor acc. Eq.
(8.5.3-19)
Calculation parameter acc. to Eq.
(8.5.3-22)
Calculation parameter acc. to Eq.
(8.5.3-21)
Factor Gamma according to Eq.
(8.5.3-16)
Modified area of stiffener,
(8.5.3-17)
Calculation parameter acc. to
(8.5.3-18)
ncyl
δ
G
N
γ
Am
B
9
0.016
0
1
0.2894
384.4 mm²
1.63
Limit pressure for circumferential yield
py
0.6457 MPa
(8.5.3-15)
5.6
1152
1127
368
8
mm
mm
mm
mm²
mm
Unsupported shell length between stiffeners
Parameter
π · R/L
Circumferential strain at collapse
L
Z
ε
Theoretical elastic buckling pressure
(8.5.2-5)
pm
0.2577 MPa
Real buckling pressure
(pr/S)
Allowable
pressure
(8.5-5)
pr
pall
0.1292 MPa
0.1175 MPa
Condition (8.5.2-8): P < pr/S is fulfilled.
Load case
Lauterbach Verfahrenstechnik GmbH
1368 mm
2.644
2.718e-4
fulfilled
Operation
29
13.06.2016
Example EN 14025 Edition 2014
Appendix A
Example
ADR module
Stability of a stiffened cylinder according to 8.5.3.6.2
a) Elastic instability, Specification of the stiffener
+1 = internal, -1 = external stiffener
Manufacturing safety factor of stiffener
Cross sectional area of stiffener
Area moment at stiffener centroid
Sf
AS
IS
Results
Mean distance between the stiffeners (Table 8.5-1)
Total length of the cylinder (Table 8.5-1)
Number of circumferential buckling waves
Factor acc. Eq.
(8.5.3-25)
Combined cross sectional area of stiffened shell
Calculation parameter
Effective length acc.
(8.5.3-34)
LS
LH
n
β
Ae
Xe
Le
x
Y1
0.07779
1.567 Y2
Area moment of shell and stiffener
Theoretical elastic buckling pressure
1.2
(u
=
Y3
Condition (8.5.3-31): P < pg/(S·Sf) is valid.
P=
0.3437 /
0.04 < pg/S/Sf
=
17.04
0.7381
1.1 /
1
1.33
368 mm²
64891 mm^4
1368
5473
4
4.648e-5
1052
11.49
122.2
)
Ie
pg
1.33 =
mm
mm
mm²
mm
214201 mm^4
0.3437 MPa
0.2349
b) Maximum stress in the stiffener, additional specifications
Contact width of the stiffener
Outside radius of the stiffener
wi
Rf
8 mm
1104 mm
Results
Modified area of stiffener
Factor
Factor
Limit pressure for circumferential yield
(8.5.3-17)
(8.5.3-19)
(8.5.3-40)
Am
δ
dquer
pys
384.4 mm²
0.016
39.14
1.104 MPa
Maximum stress in the stiffener
(8.5.3-37)
σs
Condition (8.5.3-41) 0 < σs < σeL =
132.8
is:
valid
Sideways tripping of stiffeners
a) Stiffener with rectangular profile?
Radial height of the profile
Width of stiffener in contact with shell
Yes
d
ew
b) Specifications for non-rectangular profile, Figs. 8.5-14 to 8.5-17
Angle profile acc. Fig. 8.5-16
(yes=1, no=2)
Radial height of the web plate between flanges
d
Analysis web thickness of the stiffener
ew
Thickness of the profile flange
ef
Leg length of the profile flange
wf
Shell outside radius to the web plate
ri
Coefficient for non-rectangular profile
C
Instability stress for sideways tripping
Condition σi/4 > P · σeL/pys is
σi/4 =
765.3 /4 > P ·
σeL/pys =
Lauterbach Verfahrenstechnik GmbH
109 MPa
46 mm
8 mm
46 mm
8 mm
mm
mm
mm
σi
765.3 MPa
/
1.104
valid
0.04
·
132.8
30
13.06.2016
Example EN 14025 Edition 2014
Appendix A
Example
ADR module
10 EN08 A.6.5
Shells under external pressure DIN EN 13445-3/8:2015-12 + DIN EN 14025:2014-02
Spherical shells acc. to 8.7.1
Regulation
(0=EN13445-3, 1=EN14025)
EN 14025:
Tanks for the transport of dangerous goods, section 6.4
Load case
Safety factor acc. to section 8.4.4
S
Calculation temperature
t
Calculation pressure
P
Nominal wall thickness
en
Mean radius of the shell
R
Material properties of the spherical shell
Material designation
Poisson's ratio
Austenitic steel?
Wall thinning allowance
Corrosion allowance
Thinning allowance during manufacturing
Sum of allowances
Strength acc. to specification (Re, Rp, Rm)
Safety factor according to section 8.4.4
Modulus of elasticity
0.2% proof stress at operating temperature
0.2% proof stress at room temperature
allowable elastic limit
(Rpx, Rpx/1.25)
Curvature deviation greater than 30%?
Lauterbach Verfahrenstechnik GmbH
ν
1 (0,1)
Operation
1.1
100
0.04
3.65
1848
°C
MPa
mm
mm
1.4404(H)
δe
c2
δm
∑(δ)
K
S
E
Rp02
Rp02p
σe
0.3
Yes
0.4
0
0
0.4
430
1.1
194000
166
220
132.8
mm
mm
mm
mm
MPa
N/mm²
MPa
N/mm²
No
31
13.06.2016
Example EN 14025 Edition 2014
Appendix A
Results
Analysis wall thickness
Limit pressure for circumferential yield
Theoretical instability pressure
Ratio
Ratio
allowable pressure
(pr/S)
Condition
P=
0.04 <
The strength condition is
fulfilled
for load case
Operation
(8.7.1-1)
(8.7.1-2)
(8.5-5)
0.1115 = pall
Example
ADR module
ea
py
3.25 mm
0.4671 MPa
pm
pm/py
pr/py
pall
0.726 MPa
1.554
0.2625
0.1115 MPa
fulfilled
(8.7.1-1)
(8.7.1-2)
at shape deviation < 30%
(8.7.1-3)
Max. measuring length of curvature deviation acc. to 8.7.2:
Acc. to section 8.4.1 vessels under external pressure pe must also be calculated for internal pressure pi=pe per
section 7 (EN07 module)
Vessel ends acc. to section 8.8
Hemispherical ends shall be designed acc. to the rules for spheres.
The mean sphere radius for torispherical shells is R=crown outside radius and for the stress calculation acc.
7.5.2 (inside pressure P<0 with module EN07) holds N=1.
For semi-ellipsoidal ends the mean sphere radius is R=D²/(4h).
Lauterbach Verfahrenstechnik GmbH
32
13.06.2016
Example EN 14025 Edition 2014
Appendix A
Example
ADR module
11 EN09 A6.6 Betr.
Openings in spherical and cylindrical shells DIN EN 13445-3/9:2015-12 + DIN EN
14025:2014-02
9. Isolated openings in spherical and cylindrical shells
Regulation
EN 14025: Tanks for the transport of dangerous goods
Load case
Operation
Calculation temperature
t
100 °C
Calculation pressure
P
0.3 MPa
Material properties
Shell
Material designation
1.4404(H)
Thickness allowance
δe
Corrosion allowance
c
Manufacturing allow.
δm
Total allowance
∑(δ)
Strength
K
Re, Rp, Rm
Safety factor
Weld factor acc. 9.5.2.3.2
Remark
S
Nozzle, Ring
0.4
0
0
0.4
430
1.4404(H)
mm
mm
mm
mm
MPa
3
1
0.4
0
0
0.4
430
mm
mm
mm
mm
MPa
3
1
Geometry of shell
Shell
Cylinder
ens
Nominall wall thickness
Analysis thickness
eas
ecs
Reduced calculation thickness without allowances (lso) *)
Cross-sectional area of fillet weld
Afw
De
Outside diameter of cylindrical or conical shell in center of
opening
Actual length
ls
*) e = e must satisfy the strength condition: e > required thickness
as
cs
cs
Geometry of opening
Type of nozzle:
set-in
Orientation of sectional cut
axial
Outside diameter of opening, nozzle or ring
Nominal nozzle (ring) thickness
Application acc. 9.4.6
Fatigue endurable
External cover
Length of nozzle extension outside the shell
Length of nozzle extension inside the shell
Insertion length for partial penetration
Oblique nozzle: axial inclination angle
Lauterbach Verfahrenstechnik GmbH
33
3.64
3.24
3.24
0
2306
mm
mm
mm
mm²
mm
500 mm
d,deb
ev
510 mm
5 mm
No
lb1
lbi
lbp
φa
150
50
3.64
0
mm
mm
mm
°
13.06.2016
Example EN 14025 Edition 2014
Appendix A
Results
Allowable pressure
(P = 0.3 MPa ≤Pmax)
Pressure loaded area of shell
Pressure loaded area of nozzle
Additional pressure loaded area of oblique nozzle
Cross-sectional area of fillet weld
Pmax
Aps
Apb
Apφ
Afw
Shell
Inside radius
Maximum supporting length
Supporting length of cylindrical connection
Effective supporting length
Cross-sectional area of shell
Nominal design stress
Min(ls;lso)
Nozzle
Accountable wall thickness acc. 9.4.6
Analysis thickness
Max. supporting length of nozzle outside shell
Max. supporting length of nozzle inside shell
Reduced nozzle length outside shell
Min(lb;lbo)
Reduced nozzle length inside shell
Min(lbi;lbo/2)
Nominal design stress
Reduced stress,
Min(fs;fb)
Cross-sectional area of nozzle
(Ring: Afr)
Adapted penetration length
Min(lbp;eas)
Inside diameter of nozzle
(or ring: dir)
Outside radius of nozzle or opening
Geometrical condition for openings
9.4.5 Shell without nozzle
9.4.5 Spheres+domed heads
Lauterbach Verfahrenstechnik GmbH
0.3979
392594
38371
0
0
MPa
mm²
mm²
mm²
mm²
ris
lso
lcyl
l's
Afs
f
1150
86.39
86.39
86.39
279.9
143.3
mm
mm
mm
mm
mm²
MPa
eb
eab
lbo
lbo/2
l'b
l'bi
f
fob
Afb
e's
dib
a
4.6
4.6
48.22
24.11
150
46.36
143.3
143.3
918.2
3.24
500.8
255
mm
mm
mm
mm
mm
mm
MPa
MPa
mm²
mm
mm
mm
d/(2 · ris)
d/De, dib/De or dir/De
9.4.5 Cylinder with nozzle
d/(2 · ris)
EN 14025 Fig.6 for eb/em
eab/eas
Load case
Operation
Application case
Fatigue endurable
Shell type
Cylinder
Type of nozzle
set-in
Orientation of section
axial
The strength condition is
valid
The geometrical conditions are
valid
The design is adequate for EN13445-3 requirements
34
=
Example
ADR module
=
=
0.2177 ≤ 0.5
0.2177 ≤ 0.6
=
0.2177 ≤ 1
1.42 ≤
2
13.06.2016
Example EN 14025 Edition 2014
Appendix A
Example
ADR module
Additional results for openings close to discontinuities acc. 9.7
9.5-1
Minimum ligament width for single nozzle
Lb'
9.7.2.1 Permissible distance wmin between opening in cylindrical shell and
wmin
a) dished/flat end, reducer, flange
wmin
b) small conical end, convex shell, branch
wmin
c) expansion joint
9.7.2.2 Permissible distance wmin between opening in conical shell and
wmin
a) Cylindrical shell at wide end
wmin
b) Cylindrical shell at small end
with a connection diameter
Dc
and a thickness e1 (or e2 acc. Fig. 9.7-10)
9.7.2.3 Permissible distance wmin between opening in domed and
bolted head and a flange
wmin
9.7.2.4 Permissible distance wmin between opening in elliptical and
torispherical heads and the knuckle (De/10 acc. Fig.9.5-4)
wmin = 0
9.7.2.5 The minimum distance wmin of the opening in hemispherical
head of a flange, a tube sheet, or a cylinder adapter
wmin
Available distance
w
9.5.2.2:
Reinforcement dispensable if
d=
510≤
122.3 mm
17.28 mm
86.39 mm
43.19 mm
17.28
86.39
2303
3.24
mm
mm
mm
mm
17.28 mm
17.28 mm
mm
12.96=0.15 · lso and w > wmin
9.7.3 Reduced distance from discontinuity
For w =
< wp
the available support length of the reinforcement
mm
ls =
for the calculation
of the shell must be reduced.
500 mm
The minimum distance wp of the opening from discontinuities without influence on ls and the reduced
available support length Max(ls) acc. 9.7.3 amount to
a)
b)
b)
c)
wp
86.39
172.8
129.6
172.8
9.7.2.1a), 9.7.2.2a), 9.7.2.3, 9.7.2.4
acc. to 9.7.2.1b)
acc. to 9.7.2.1c)
acc. to 9.7.2.2b)
Lauterbach Verfahrenstechnik GmbH
35
Max(ls)
13.06.2016
Example EN 14025 Edition 2014
Appendix A
Example
ADR module
Equations
Cross-sectional area Afb of the nozzle for type
set-in
:
Cross-sectional area Afs of the shell
Afs =
279.9 ,
Afb =
918.2 ,
Afw =
0
Pressure loaded area of nozzle
Additional pressure loaded area for oblique direction
axial
(axial)
The strength condition is
:
valid
Efficiency
=
0.754 ≤ 1
Maximum permissible pressure
Lauterbach Verfahrenstechnik GmbH
36
13.06.2016
Example EN 14025 Edition 2014
Appendix A
Example
ADR module
12 EN09 A6.6 Prf.
Openings in spherical and cylindrical shells DIN EN 13445-3/9:2015-12 + DIN EN
14025:2014-02
9. Isolated openings in spherical and cylindrical shells
Regulation
EN 14025: Tanks for the transport of dangerous goods
Load case
Testing
Calculation temperature
t
100 °C
Calculation pressure
P
0.4 MPa
Material properties
Material designation
Thickness allowance
Corrosion allowance
Manufacturing allow.
Total allowance
Tensile stress 20°C
Proof stress
20°C
Weld factor acc. 9.5.2.3.2
Remark
Shell
1.4404(H)
δe
c
δm
∑(δ)
Rm
Rp
Nozzle, Ring
0.4
0
0
0.4
530
1.4404(H)
mm
mm
mm
mm
MPa
260 MPa
1
0.4
0
0
0.4
530
mm
mm
mm
mm
MPa
260 MPa
1
Geometry of shell
Shell
Cylinder
ens
Nominall wall thickness
Analysis thickness
eas
ecs
Reduced calculation thickness without allowances (lso) *)
Cross-sectional area of fillet weld
Afw
De
Outside diameter of cylindrical or conical shell in center of
opening
Actual length
ls
*) e = e must satisfy the strength condition: e > required thickness
as
cs
cs
Geometry of opening
Type of nozzle:
set-in
Orientation of sectional cut
axial
Outside diameter of opening, nozzle or ring
Nominal nozzle (ring) thickness
Application acc. 9.4.6
Fatigue endurable
External cover
Length of nozzle extension outside the shell
Length of nozzle extension inside the shell
Insertion length for partial penetration
Oblique nozzle: axial inclination angle
Lauterbach Verfahrenstechnik GmbH
37
3.64
3.24
3.24
0
2306
mm
mm
mm
mm²
mm
500 mm
d,deb
ev
510 mm
5 mm
No
lb1
lbi
lbp
φa
150
50
3.64
0
mm
mm
mm
°
13.06.2016
Example EN 14025 Edition 2014
Appendix A
Results
Allowable pressure
(P = 0.4 MPa ≤Pmax)
Pressure loaded area of shell
Pressure loaded area of nozzle
Additional pressure loaded area of oblique nozzle
Cross-sectional area of fillet weld
Shell
Inside radius
Maximum supporting length
Supporting length of cylindrical connection
Effective supporting length
Cross-sectional area of shell
f=Min[Rm20/2,Rpe · 3/4]=
Pmax
Aps
Apb
Apφ
Afw
Min(ls;lso)
Nozzle
Accountable wall thickness acc. 9.4.6
Analysis thickness
Max. supporting length of nozzle outside shell
Max. supporting length of nozzle inside shell
Reduced nozzle length outside shell
Min(lb;lbo)
Reduced nozzle length inside shell
Min(lbi;lbo/2)
f=Min[Rm20/2,Rpe · 3/4]=
Reduced stress,
Min(fs;fb)
Cross-sectional area of nozzle
(Ring: Afr)
Adapted penetration length
Min(lbp;eas)
Inside diameter of nozzle
(or ring: dir)
Outside radius of nozzle or opening
Geometrical condition for openings
9.4.5 Shell without nozzle
9.4.5 Spheres+domed heads
Lauterbach Verfahrenstechnik GmbH
0.5413
392594
38371
0
0
MPa
mm²
mm²
mm²
mm²
ris
lso
lcyl
l's
Afs
1150
86.39
86.39
86.39
279.9
195
mm
mm
mm
mm
mm²
MPa
eb
eab
lbo
lbo/2
l'b
l'bi
4.6
4.6
48.22
24.11
150
46.36
195
195
918.2
3.24
500.8
255
mm
mm
mm
mm
mm
mm
MPa
MPa
mm²
mm
mm
mm
fob
Afb
e's
dib
a
d/(2 · ris)
d/De, dib/De or dir/De
9.4.5 Cylinder with nozzle
d/(2 · ris)
EN 14025 Fig.6 for eb/em
eab/eas
Load case
Testing
Application case
Fatigue endurable
Shell type
Cylinder
Type of nozzle
set-in
Orientation of section
axial
The strength condition is
valid
The geometrical conditions are
valid
The design is adequate for EN13445-3 requirements
38
=
Example
ADR module
=
=
0.2177 ≤ 0.5
0.2177 ≤ 0.6
=
0.2177 ≤ 1
1.42 ≤
2
13.06.2016
Example EN 14025 Edition 2014
Appendix A
Example
ADR module
Additional results for openings close to discontinuities acc. 9.7
9.5-1
Minimum ligament width for single nozzle
Lb'
9.7.2.1 Permissible distance wmin between opening in cylindrical shell and
wmin
a) dished/flat end, reducer, flange
wmin
b) small conical end, convex shell, branch
wmin
c) expansion joint
9.7.2.2 Permissible distance wmin between opening in conical shell and
wmin
a) Cylindrical shell at wide end
wmin
b) Cylindrical shell at small end
with a connection diameter
Dc
and a thickness e1 (or e2 acc. Fig. 9.7-10)
9.7.2.3 Permissible distance wmin between opening in domed and
bolted head and a flange
wmin
9.7.2.4 Permissible distance wmin between opening in elliptical and
torispherical heads and the knuckle (De/10 acc. Fig.9.5-4)
wmin = 0
9.7.2.5 The minimum distance wmin of the opening in hemispherical
head of a flange, a tube sheet, or a cylinder adapter
wmin
Available distance
w
9.5.2.2:
Reinforcement dispensable if
d=
510≤
122.3 mm
17.28 mm
86.39 mm
43.19 mm
17.28
86.39
2303
3.24
mm
mm
mm
mm
17.28 mm
17.28 mm
mm
12.96=0.15 · lso and w > wmin
9.7.3 Reduced distance from discontinuity
For w =
< wp
the available support length of the reinforcement
mm
ls =
for the calculation
of the shell must be reduced.
500 mm
The minimum distance wp of the opening from discontinuities without influence on ls and the reduced
available support length Max(ls) acc. 9.7.3 amount to
a)
b)
b)
c)
wp
86.39
172.8
129.6
172.8
9.7.2.1a), 9.7.2.2a), 9.7.2.3, 9.7.2.4
acc. to 9.7.2.1b)
acc. to 9.7.2.1c)
acc. to 9.7.2.2b)
Lauterbach Verfahrenstechnik GmbH
39
Max(ls)
13.06.2016
Example EN 14025 Edition 2014
Appendix A
Example
ADR module
Equations
Cross-sectional area Afb of the nozzle for type
set-in
:
Cross-sectional area Afs of the shell
Afs =
279.9 ,
Afb =
918.2 ,
Afw =
0
Pressure loaded area of nozzle
Additional pressure loaded area for oblique direction
axial
(axial)
The strength condition is
:
valid
Efficiency
=
0.7389 ≤ 1
Maximum permissible pressure
Lauterbach Verfahrenstechnik GmbH
40
13.06.2016
Example EN 14025 Edition 2014
Appendix A
Example
ADR module
14 Summary
Documentation
Example EN 14025 Appendix A, Comparison with calculation by Lauterbach
Calculation acc. EN14025 section
Lauterbach Verfahrenstechnik
A.3 Minimum thickness acc. to ADR
eT = 2.95 mm
eT = 2.949 mm
eC = 2.36 mm
eC = 2.359 mm
A.4 Equivalent thickness
e1 = 3.64 mm
e1 = 3.635 mm
A.5.1: Testing pressure cylinder
required thickness e = 2.95 mm
e = 2.953 mm
A.5.2: Test pressure Korbbogen
required thickness e = 3.6 mm
e = 3.602 mm
ey = 2.91 (with ev=5mm)
ey = 2.988 (iter. with ey)
A.5.3: Test pressure baffle e=8mm
allowable pressure P = 0.6 MPa
Pzul = 0.5994 MPa
A.6.1: Operation pressure 3bar Cylinder
required thickness e = 3.02 mm
e = 3.013 mm
A.6.2: Operation pressure 3bar Korbbogen
required thickness emin = 3.65 mm
emin = 3.654 mm
A.6.3: Operation pressure 3bar baffle e=8mm
allowable pressure p = 0.383 MPa
Pzul = 0.3827 MPa
A.6.4.2 as A.6.4.3
A.6.4.3: Failure between stiffeners
allowable external pressure p=0.04 MPa
pzul = 0.04002 MPa
A.6.4.4: Stiffened cylinder
allowable external pressure p=0.190 MPa
pzul = 0.1899MPa (8.5.3-31)
Stress in stiffener SigS = 129.1
SigS = 128.1
Sideways tripping:
Sigi/4 = 766.72/4 > 0.04*132.8/0.932
765.3/4 > 0.04*132.8/0.9335
A.6.5: External pressure 0.4bar sphere
pzul = 0.138 MPa
pzul = 0.1378 MPa
A.6.6 Operation pressure opening
131 200 / 190 663 = 0.688 < 1
efficiency = 0.687 < 1
A.6.6: Test pressure opening
174 933 / 259 995 = 0.673 < 1
efficiency = 0.6733 < 1
Lauterbach Verfahrenstechnik GmbH
41
13.06.2016
Example EN 14025 Edition 2014
Appendix A
Example
ADR module
Appendix: Material documentation
Section
Section
Section
Section
Section
Section
Section
Section
Section
Section
Section
Section
Section
Section
Section
1: Behälter / Vessel/ADR
2: Schale/EN07
3: Schale/EN07
5: Schale/EN07
6: Schale/EN07
7: Schale/EN08
8: Schale/EN08
8: Versteifung/EN08
9: Schale/EN08
9: Versteifung/EN08
10: Schale/EN08
11: Schale/EN09
11: Stutzen / Nozzle (1)/EN09
12: Schale/EN09
12: Stutzen / Nozzle (1)/EN09
Material specification:
Regulation:
led band
Material code:
-
Spec. No.:
1.4404(H) Short name:
EN 10028-7
Product:
warmgewalztes Band / hot rol-
X 2 CrNiMo 17-12-2
Design conditions and dimensions:
Temperature [°C]:
Thickness [mm]:
100
2
Pressure [bar]:
Outside diameter [mm]:
4
2300
Material values for test and design conditions:
Test condition
Operating condition
---------------------------------------Nominal design strength [N/mm²]:
260,00
430,00
Safety factor:
1,05
3,00
Allowable stress [N/mm²]:
247,62
143,33
Modulus of elasticity [kN/mm²]:
200
194
Wall thickness tolerance [mm]:
0,00
acc. to
EN 10029 Class A
EN 10028-7 Tables 7-10:
0,2%-Elong.····|1%-Elong.······|Tensile········|Tensile········|Rupture········|Rupture········
strength·······|strength·······|strength·······|strength·······|elongation·····|elongation·····
min············|min············|min············|max············|A 80 mm········|A··············
N/mm²··········|N/mm²··········|N/mm²··········|N/mm²··········|%··············|%··············
---------------+----------------+----------------+----------------+----------------+---------------220············|260············|530············|680············|···············|40·············
EN 10028-7 - Table A.1 & A.2:
yield stress at a temperature in °C
······|-196··|-150··|-80···|100···|150···|200···|250···|300···|350···|400···|450···|500···|550···
······|N/mm²·|N/mm²·|N/mm²·|N/mm²·|N/mm²·|N/mm²·|N/mm²·|N/mm²·|N/mm²·|N/mm²·|N/mm²·|N/mm²·|N/mm²·
······|······|······|······|······|······|······|······|······|······|······|······|······|······
------+-------+-------+-------+-------+-------+-------+-------+-------+-------+-------+-------+-------+------0,2%··|350···|315···|275···|166···|152···|137···|127···|118···|113···|108···|103···|100···|98····
1%····|450···|415···|355···|199···|181···|167···|157···|145···|139···|135···|130···|128···|127···
Rm····|1200··|1070··|840···|430···|410···|390···|385···|380···|380···|380···|370···|360···|0·····
EN 10028-7 - Tables 11-15 & F.1:
modulus of elasticity at .. °C
thermal expansion between 20°C and
desity|······|······|······|······|······|······|······|······|······|······|······|therma
(20°C)|20····|100···|200···|300···|400···|500···|100°C·|200°C·|300°C·|400°C·|500°C·|conduc
kg/dm³|kN/mm²|kN/mm²|kN/mm²|kN/mm²|kN/mm²|kN/mm²|/1e6 K|/1e6 K|/1e6 K|/1e6 K|/1e6 K|W/Km··
------+-------+-------+-------+-------+-------+-------+-------+-------+-------+-------+-------+------7,98··|200···|194···|186···|179···|172···|165···|16,7··|17,2··|17,7··|18,1··|18,4··|0·····
Comment:
EN 10028-7: June 2000 replaces DIN 17441: 1996-09
partial substitution for DIN 17440: 1997-02 and DIN 17460: 1992-09
DIN 17441:1985-07 is annulated with EN 10028-7.
Lauterbach Verfahrenstechnik GmbH
42
13.06.2016
Example EN 14025 Edition 2014
Appendix A
—
+---Section
Section
Section
Section
Section
2:
3:
4:
5:
6:
Example
ADR module
Schale-20°C/EN07
Schale-20°C/EN07
Schale/EN08
Schale-20°C/EN07
Schale-20°C/EN07
Material specification:
Regulation:
led band
Material code:
-
Spec. No.:
1.4404(H) Short name:
EN 10028-7
Product:
warmgewalztes Band / hot rol-
X 2 CrNiMo 17-12-2
Design conditions and dimensions:
Temperature [°C]:
Thickness [mm]:
20
5
Pressure [bar]:
Outside diameter [mm]:
4
2309,2
Material values for test and design conditions:
Test condition
Operating condition
---------------------------------------Nominal design strength [N/mm²]:
260,00
530,00
Safety factor:
1,05
3,00
Allowable stress [N/mm²]:
247,62
176,67
Modulus of elasticity [kN/mm²]:
200
200
Wall thickness tolerance [mm]:
0,40
acc. to
EN 10029 Class A
EN 10028-7 Tables 7-10:
0,2%-Elong.····|1%-Elong.······|Tensile········|Tensile········|Rupture········|Rupture········
strength·······|strength·······|strength·······|strength·······|elongation·····|elongation·····
min············|min············|min············|max············|A 80 mm········|A··············
N/mm²··········|N/mm²··········|N/mm²··········|N/mm²··········|%··············|%··············
---------------+----------------+----------------+----------------+----------------+---------------220············|260············|530············|680············|···············|40·············
EN 10028-7 - Table A.1 & A.2:
yield stress at a temperature in °C
······|-196··|-150··|-80···|100···|150···|200···|250···|300···|350···|400···|450···|500···|550···
······|N/mm²·|N/mm²·|N/mm²·|N/mm²·|N/mm²·|N/mm²·|N/mm²·|N/mm²·|N/mm²·|N/mm²·|N/mm²·|N/mm²·|N/mm²·
······|······|······|······|······|······|······|······|······|······|······|······|······|······
------+-------+-------+-------+-------+-------+-------+-------+-------+-------+-------+-------+-------+------0,2%··|350···|315···|275···|166···|152···|137···|127···|118···|113···|108···|103···|100···|98····
1%····|450···|415···|355···|199···|181···|167···|157···|145···|139···|135···|130···|128···|127···
Rm····|1200··|1070··|840···|430···|410···|390···|385···|380···|380···|380···|370···|360···|0·····
EN 10028-7 - Tables 11-15 & F.1:
modulus of elasticity at .. °C
thermal expansion between 20°C and
desity|······|······|······|······|······|······|······|······|······|······|······|therma
(20°C)|20····|100···|200···|300···|400···|500···|100°C·|200°C·|300°C·|400°C·|500°C·|conduc
kg/dm³|kN/mm²|kN/mm²|kN/mm²|kN/mm²|kN/mm²|kN/mm²|/1e6 K|/1e6 K|/1e6 K|/1e6 K|/1e6 K|W/Km··
------+-------+-------+-------+-------+-------+-------+-------+-------+-------+-------+-------+------7,98··|200···|194···|186···|179···|172···|165···|16,7··|17,2··|17,7··|18,1··|18,4··|0·····
Comment:
EN 10028-7: June 2000 replaces DIN 17441: 1996-09
partial substitution for DIN 17440: 1997-02 and DIN 17460: 1992-09
DIN 17441:1985-07 is annulated with EN 10028-7.
Lauterbach Verfahrenstechnik GmbH
43
13.06.2016