ML22277A753
| ML22277A753 | |
| Person / Time | |
|---|---|
| Site: | 07103097 |
| Issue date: | 08/03/2022 |
| From: | Boyle R, Shaw D TN Americas LLC |
| To: | Division of Fuel Management |
| Garcia-Santos N | |
| Shared Package | |
| ML22277A716 | List:
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| References | |
| EPID L-2022-DOT-0008, CAC A33010 | |
| Download: ML22277A753 (51) | |
Text
framatome Document Type:
AC-DESIGN CALCULATION Document
Title:
Subject:
FCC 4 - containers for fresh fuel assemblies
- Lifting points mechanical verification NON-PROPRIETARY VERSION No of Pages:
FCC 4 - containers for fresh fuel assemblies - Lifting points mechanical verification This document is validated through an electronic workflow. Validation dates are stored inside the Electronic Documentation Management system.
Ind.: A Status: BPE Date: 2022-05-13 Modif./Obs.: First Issue Issuer Technical Reviewer Primary Author EDM classification: ADV-AUT ORT: TS00820 Expo Control:
Responsible: DTIML-F Goods labeled with "Al not equal to N" are subject to European or German export authorization when being exported within or out of the EU. Goods labeled with "ECCN not equal to N or EAR99" are subject to US re-export authorization. Even without a label, or with label *AL:N" or "ECCN:W or "ECCN:EAR99", authorization may be required due to the final whereabouts and purpose for which the goods are to be used.
Safety Related: YES Issuing entity:
FFP DOCUMENT NUMBER D02-ARV-01-186-617 I PUBLIC I 51 TRA en
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framatome IND REV ISSUE DATE A
See cover page No. D02-ARV-01-186-617 NON-PROPRIETARY VERSION SECTION REV. A PAGE 2 / 51 REVISIONS PURPOSE OF THE REVISION Original issue, based on previous note NVPM DC 99 150 incorporating the following modifications:
- Length of S9 welds updated on external side and -
on internal side,
- S8 weld modelled continuously,
- Addition of study of S1 weld of the handling
- box,
- Incorporation of the KT A 3905 criteria for the resistance calculations of shells and welds
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No. D02-ARV-01-186-617 framatome NON-PROPRIETARY VERSION REV. A PAGE 3 / 51
SUMMARY
This note deals with the sizing of the FCC4 container for 14 foot assembly in the event of lifting in a normal operating situation.
The analysis therefore relates to upper handling boxes and associated welds.
The acceptability of the lifting of the FCC4 containers for 14 foot assemblies is checked in accordance with nuclear industry standards (RCC-MR code, KTA rules).
The welds are modelled with the ~assumptions: the longitudinal S8 weld is a seam weld and the S9 weld has a length--on the outside of the handling box and -
on the inside.
The load case applied is lifting with four textile slings joined at a central point at an angle of 45° to the horizontal.
In order to take account of an imbalance in load distribution, the lifting mass is increased a value justified by a finite element calculation.
The criteria for excessive deformation and plastic instability are respected for the case of lifting of a loaded container increased -
For the structures, the minimum margin located on the reinforcing angle bar is
- for the maximum membrane stress, For weld S9, the minimum margin is
- for the membrane+ bending stress, internal
- side, For weld S8, the minimum margin is -
for stress+ bending, external side, For weld S1, the minimum margin is-for stress+ bending, bottom weld (v2 = 0.5),
For weld S7, the minimum margin is. for membrane stress, The welds on the lower handling boxes present a minimum margin of -
On the bolts, the minimum margin is controlled by the pre-load (torque for the total mean stress, a margin essentially
No. D02-ARV-01-186-617 framatome NON-PROPRIETARY VERSION REV. A PAGE 4 / 51 TABLE OF CONTENTS
- 0.
REFERENCES 8
- 1.
INTRODUCTION 9
- 2.
GEOMETRIC DEFINITION OF FCC4 CONTAINER 10
- 3.
FINITE ELEMENT MODELLING OF THE FCC4 CONTAINER 12 3.1.
Mesh 12 3.2.
Materials and masses 12 3.3.
Lifting mode applied and load distribution 13 3.4.
Boundary conditions and stresses 14
- 4.
PRESENTATION OF CALCULATION RESULTS 16 4.1.
Container distortions 16 4.2.
Equivalent Von Mises stresses in the shell structures 16
- 5.
ANALYSIS RULES AND CRITERIA 17 5.1.
Static analysis 17 z
5.1.1.
Shell structures and welds 17 z
5.1.2.
Bolts 17 u
u Wcl 5.2.
Fatigue analysis of the welds and bolts 18 z
6.
ANALYSIS OF FCC4 CONTAINER 19
.:.i 6.1.
Analysis of handling boxes, reinforcement plates and reinforcing angle bars 19 6.2.
Weld analysis 20 6.3.
Analysis of bolts 22
- 7.
CONCLUSION 23
- 1.
PURPOSE 36
- 2.
CALCULATION OF STRESSES IN THE WELDS BASED ON EXTERNAL STRESSES 37 2.1.
Forces taken from SYSTUS calculation 37 2.2.
For a fillet weld 38 2.3.
For angle bars 40 2.4.
Calculation of equivalent stress 42
- 1.
DESCRIPTION 44
- 2.
ASSUMPTIONS FOR ANALYSIS 46
- 3.
WELD ANALYSIS 48
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framatome NON-PROPRIETARY VERSION
- 4.
CONCLUSION LIST OF APPENDICES Appendix A: Method for analysis of welded joints Appendix B: Calculation for lower shell lifting lugs No. D02-ARV-01-186-617 REV. A PAGE 5 / 51 49
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No. D02-ARV-01-186-617 framatome NON-PROPRIETARY VERSION REV. A PAGE 6 / 51 LIST OF TABLES Table 1: Characteristics of materials 13 Table 2: Maximum equivalent Von Mises stress without dynamic amplification 16 Table 3: Analysis of shell structures 19 Table 4: Analysis of weld S9 21 Table 5: Analysis of weld S8 21 Table 6: Analysis of weld S1 (v2 = 0.5) 21 Table 7: Analysis of weld S7 21 Table 8: Analysis of bolts Limitation of mean stress due to mechanical loadings only 22 Table 9: Analysis of bolts Limitation of the mean stress 22 LIST OF FIGURES Figure 1: Geometry of S9 weld for FCC4 model Figure 2: Geometry of S8 weld for FCC4 model Figure 3: Handling box in FCC4 model 10 10 11 Figure 4: Balancing of FCC4 lifted by 4 slings 14 Figure 5: Drawing of the upper shell of the FCC4 container 24 Figure 6: Drawing of handling boxes 25 Figure 7: Presentation of the finite element model 26 Figure 8: Presentation of the finite element model - Details of the handling box 27 Figure 9: Identification of welds studied 28 Figure 10: Distribution of thicknesses of FCC4 container 29 Figure 11: Stabilisation conditions of finite element model 30 Figure 12: Lifting situations 31 Figure 13: Lifting situation - central with 4 slings at 45° - lsovalues of displacements
~~
~
Figure 14: Lifting situation - Central with 4 slings at 45° - Equivalent Von Mises isostresses - Membrane [MPa]
33
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_j No. D02-ARV-01-186-617 framatome C1 - Framatome Restricted REV.A PAGE 7 / 51 Figure 15: Lifting situation - Central with 4 slings at 45° - Equivalent Von Mises isostresses - Membrane + bending [MPa]
34
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No. D02-ARV-01-186-617 framatome C1 - Framatome Restricted REV. A PAGE 8 / 51
- 0.
REFERENCES
[1]
Safety analysis report for FCC4 packaging - DOS-18-016472
[2]
Note NEEL-F 2008 DC 118 / B: FCC4 containers for fresh fuel assemblies - Data for analysis of the fatigue resistance of the lifting boxes and upper shell
[3]
Drawing of the upper shell - 14 foot model: 229 K 0410
[4]
Drawing of the lower shell - 14 foot model: 229 K 0405
[5]
FCC4 operational drawing: 229 K 0601
[6]
Drawing of the upper shell - 14 foot model - Storage detail: 229 K 2204
[7]
Drawing of the lower shell - 14 foot model - Detail: Liner: 229 K 2124
[8]
KTA 3905 rules (2020-12)
Nuclear commission safety rules - Lifting points on loads in nuclear power plants
[9]
AFCEN RCC-MR - Design and construction rules for mechanical equipment in nuclear islands of FNRs Tome I - Volume B - Level 1 equipment,
- Volume Z - Technical Appendix A3 - Material characteristics.
2007 edition.
[10] FEM-1001 rule 3rd edition - European Handling Federation - Section - Heavy lifting and handling equipment
[11] Standard NF EN 10025 Hot-rolled products of non-alloy structural steels
[12] SYSTUS program, version 2019 (21.0)
Framatome note NEER-F DC 10296 revision I SYSTUS software: Summary report on physical verification and validation
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No. D02-ARV-01-186-617 framatome C1 - Framatome Restricted REV. A PAGE 9 / 51
- 1.
INTRODUCTION This note deals with the sizing of the FCC4 container for 14 foot assembly in the event of lifting in a normal operating situation.
The analysis therefore relates to all of the structure and, in particular, the upper handling boxes and associated welds.
The acceptability of the lifting of the FCC4 containers for 14 foot assemblies is checked in accordance with nuclear standards (Standard KTA 3905; RCC-MR code for bolts and mechanical properties).
This document takes account of a change concerning lengths of weld beads between the handling boxes, the reinforcing angle bar and the upper shell of the container: longitudinal weld S8 is continuous and weld S9 has a length of*** on the outside of the handling box and on the inside.
These calculations are performed using SYSTUS software (12].
z No. D02-ARV-01-186-617 framatome C1 - Framatome Restricted REV. A PAGE 10 / 51
- 2.
GEOMETRIC DEFINITION OF FCC4 CONTAINER This paragraph provides details of the dimensions considered for modelling (see paragraph 3):
- With regard to the upper shells (excluding welds), the following references are used:
[3] and [6]
- For welds on the upper handling boxes, the dimensions considered are presented below (welds S8 and S9),
- For lower shells, reference [4].
For each upper handling box, there are 4 S9 welds as follows:
Internal S9 welds
.11-Reinforcing L-shaped angle bars Figure 1: Geometry of S9 weld for FCC4 model
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The lengths of the external and internal S9 welds are those on the drawing of the upper shell noted in Chapter 1.4-1 of the safety analysis report and have the following values:
- Length of external weld =
mm,
- Length of internal weld= mm.
The lengths are measured from the top of the L-shaped reinforcement.
However, the S8 weld is a seam weld for its horizontal section and the vertical return as shown below:
Figure 2: Geometry of S8 weld for FCC4 model
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No. D02-ARV-01-186-617 framatome C1 - Framatome Restricted REV. A PAGE 11 / 51 For conservative purposes, the vertical return of the S8 weld is not taken into account in the modelling.
The welds are identified as follows in the reference drawing[3] and in Figure 5:
S9 welds: one-sided, between each lifting box and the two "L" shaped reinforcements on each side of them; there are 4 weld beads per box, S8 welds: one-sided and continuous, between the end edges of each lifting box and
~ n the longitudinal direction; there are 2 weld beads per box, S7 welds: this is a set of 7 two-sided discontinuous weld beads, -
positioned on each circumferential reinforcing angle bar of the upper half-shell.
In order to allow good evacuation of residual water that gets inside the handling boxes, an evacuation hole is also present under the external S9 weld.
PROPRIETARY FIGURE Figure 3: Handling box in FCC4 model The modelling of the handling boxes is provided in order to take account of these holes but also the reinforcement plate on the upper lugs and the "V" reinforcement around the handling hole as described by the drawing in reference [6] shown in Figure 6.
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No. D02-ARV-01-186-617 framatome C1 - Framatome Restricted REV. A PAGE 12 / 51
- 3.
FINITE ELEMENT MODELLING OF THE FCC4 CONTAINER 3.1.
Mesh The finite element model of the FCC4 container is created on the basis of the model presented in reference [2]. The data is taken from references [3] and [6]
The mesh of the handling box takes account of:
- The "V" reinforcement around the handling hole,
- The reinforcement plate welded to the handling box,
- The water drainage openings.
The reinforcement plate forming the interface between the handling box and the V reinforcement is modelled with a sliding contact condition without friction between the plate and the box, with the plate also welded to the box at the top and bottom (S1 weld).
The mesh of the handling box, reinforcements, upper shell and reinforcement angle bars around the S9, S8, S1 and S7 welds was refined with elements size about The finite element model formed of shells and beams representing the whole of the container is presented in Figure 8.
The bolts connecting the lower and upper shell are modelled by beams. Their distribution is taken from the drawing of the lower shell noted in Chapter 1.4-1.
The S9, S8, S7 and S1 welds studied are represented in Figure 9.
The distribution of thicknesses over the structure is shown in Figure 10.
3.2.
Materials and masses The lower and upper shells of the containers are made of carbon steel The attachment bolts of the two shells are made of treated steel, The mechanical characteristics are taken from the RCC-MR code, 2007 edition, reference [9]
Appendix A3 for the steel of the shells and -or the steel of the bolts.
z No. D02-ARV-01-186-617 framatome C1 - Framatome Restricted REV. A PAGE 13 / 51 The operating temperature is between -20°C and -
There are no significant variations in characteristics over this temperature range, relative to 20°C, so the characteristics applied are those for 20°c.
The mechanical characteristics are summarised in Table 1.
Younq's modulus rMPal Poisson's ratio r-1 PROPRIETARY TABLE Yield strength, R110,2 [MPa]
Tensile strenqth, R,n rMPal Table 1: Characteristics of materials Note: (*) these characteristics are taken from standard [11].
The total maximum mass of a loaded FCC4 container, in accordance with Chapter 1.4, is 1111 kg distributed over:
- The upper shell -kg,
- The lower shell -
kg,
- The internal equipment-kg.
.:..i Note: The element densities forming the structure are calibrated to obtain the exact masses indicated.
The yield strength of the weld beads, as it needs to be greater than that of the material supporting them, is taken for conservative purposes as equal to the yield strength of the steel of the container.
3.3.
Lifting mode applied and load distribution The FCC4 container may be lifted either by a lifting beam, or directly by 4 strand slings attached to a central ring. This last loading case is largely conservative compared with the lifting beam, as the directions of the forces come out of the plane of the vertical panel of the handling box generating an additional bending moment.
In this lifting situation using the centred 4-strand slings, the imbalance of the container needs to be studied in order to determine the distribution of the forces in the slings. In fact, as shown on the drawing [5], the center of gravity of the container is slightly offset longitudinally.
A finite element calculation is carried out with a simplified modelling of the FCC suspended by 4 centred slings as shown below:
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No. D02-ARV-01-186-617 framatome C1 - Framatome Restricted REV. A PAGE 14 / 51 PROPRIETARY FIGURE Figure 4: Balancing of FCC4 lifted by 4 slings The slings are modelled using beam elements with section~ without inerti~
~
modulus adjusted to obtain elongation of 3% under a load-
-These conditions are conservative of the real stiffnesses of textile slings (chain type slings are prohibited in Chapter 1.7). The calculation is carried out with the SYSTUS software in large movements to obtain balancing of the packaging and the forces in the slings.
Due to horizontal offset of the center of gravity-the force in the most heavily loaded strand is equal to-of the mean force due to the mass of the FCC4.
In the lifting calculations, an increase llllwill be applied to the mass of FCC for conservative purposes.
3.4.
Boundary conditions and stresses The container is lifted using 4 textile slings of the same length joined at a central point at an angle of 45° to the horizontal.
In order to take account of an imbalance in load distribution, the lifting mass studied is increased -
as justified in paragraph 3.3 above.
The load is therefore the dead weight of the loaded FCC4 container increased -
and taken up by the upper handling lugs. Acceleration due to gravity is taken as equal to -9.81 m/s2.
The contact zone between the lifting hook and the lug of the handling box/reinforcement plate is taken as equal to-
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No. D02-ARV-01-186-617 framatome C1 - Framatome Restricted REV. A PAGE 15 / 51 In order to better distribute this contact force, an equivalent linear pressure is applied to the corresponding hole sector and equally to the handling box and the reinforcement plate. This linear pressure balances the dead weight of the structure. It is oriented to the centre of the structure with an anglefor the loading applied to the elements of the handling boxes and is applied in the XZ plane to the reinforcement plates, with the box pressing on the reinforcement plate through the contact elements (SYSTUS'
).
Boundary conditions for stabilisation of the structure under dead weight are applied.
The conditions for stabilisation of the finite element model and the lifting situation are presented respectively in Figure 11 and Figure 12.
Static, non-linear and elastic calculations are performed using the in the SYSTUS' software.
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No. D02-ARV-01-186-617 framatome C1 - Framatome Restricted REV. A PAGE 16 / 51
- 4.
PRESENTATION OF CALCULATION RESULTS The displacement distribution and equivalent Von Mises stresses in the middle, lower and upper skin of the FCC4 container is presented for the central lifting situation with 4 slings at 45° and a dead weight increased -
4.1.
Container distortions The displacement norm as well as the d~ment along Z are presented in Figure 13 for geometry deformed with an amplification -*
The maximum displacement norm is-for the central lifting situation with 4 slings at 45° and is located on the rails at the bottom part of the container.
4.2.
Equivalent Von Mises stresses in the shell structures The equivalent Von Mises stresses are presented in Figure 14 for the middle skin and Figure 15 for the skin prese~he maximum membrane + bending stresses, for geometry deformed with amplification -
The maximum equivalent Von Mises stresses are located, in descending order, in the reinforcement angle bars connected to the handling box by the S9 weld, the handling boxes and reinforcement plate; they are presented in Table 2:
Equivalent Von Mises stresses Slinging Zone Without dynamic amplification Membrane (MPa) I Membrane + bending IMPal Angle bar Central 4-strand Handling box PROPRIETARY TABLE slinging Reinforcement plate Table 2: Maximum equivalent Von Mises stress without dynamic amplification
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- 5.
ANALYSIS RULES AND CRITERIA 5.1.
Static analysis 5.1.1.
Shell structures and welds For shells and welds sizing, the rules of standard KTA 3905, reference [8], are applied.
In order to take account of the dynamic amplification effect due to lifting, the rules in paragraph 5 of standard KTA 3905 ([8]) are used. The maximum lifting speed of 6 m/min is low and leads to use of an amplification coefficient on the dead weight (see §5.2.2.1 ). The analysis is presented for the maximum stresses obtained in the various cases studied, taking account of the dynamic amplification For the shell structures, the criterion used is that of §5.7.2. The allowable primary membrane stress is equal to 0, 66. Rpo,z at the design temperature, The allowable primary membrane+ bending stress is equal to Rpo,z at the design temperature, For the weld beads, these allowable stresses are weighted by the coefficients:
- v : defined by the type of weld. In the case of the container, the welds are all fillet welds therefore v = 0,8.
- v 2 : defined by the quality of the weld. In the case of welds S7, S8 and S9, the welds all have quality tests because visual inspection and penetrant testing form part of the regular maintenance programme in accordance with paragraph 2.2 of Chapter 1.8 in the safety analysis report. It is therefore taken as v 2 = 1,0.
- For weld S1, v 2 is taken to be equal to 0.5.
The allowable stresses for the weld beads are therefore:
- 0, 66. v. Vz. Rpo,z = -for membrane stresses-for S1 ).
- v. v 2. Rpo,z =- for membrane plus bending stresses-for S1 ).
5.1.2.
Bolts For the bolts, analysis is carried out according to Article RB3284 of RCC-MR ([9]). Two validation criteria are considered:
- Limitation of the mean stress due only to the external mechanical loadings:
<Tm :s; SmB where allowable stress is taken from Appendix 3 of RCCM-R equal to -
- Limitation of the mean stress, internal and external loads:
<Tm :s; min[ 0, 9. Rp0,2 ; 0, 67. Rm]
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No. D02-ARV-01-186-617 framatome C1 - Framatome Restricted REV. A PAGE 18 / 51 where allowable stress equals-Note: in the context of the analysis according to RCC-MR, the dynamic amplification taken into account is that defined by the FEM rules, reference [1 O]. The maximum lifting speed of-induces an amplification coefficient-5.2.
Fatigue analysis of the welds and bolts The maximum number of deliveries per year is fifteen, with twelve lifting cycles per delivery.
The delivery cycles are shown on the diagram below:
PROPRIETARY FIGURE Over forty years, the number of lifting cycles performed is therefore -
According to the KTA (reference [8]), the fatigue analysis is only required if the number of cycles is greater than 20 000 cycles.
As the number of cycles is-a specific fatigue analysis is not required for the lifting situation for the welds and the bolts of the FCC4 container. A fatigue analysis of the container, including handling and securing, is carried out in Chapter 2.1-3.
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No. D02-ARV-01-186-617 framatome C1 - Framatome Restricted REV. A PAGE 19 / 51
- 6.
ANALYSIS OF FCC4 CONTAINER 6.1.
Analysis of handling boxes, reinforcement plates and reinforcing angle bars The analysis of the stresses in the shells is carried out in the handling boxes, the reinforcement plates and the reinforcing angle bars, which are the zones subject to the highest loads in lifting, according to the rules presented in paragraph 5.1.1.
The analysis of the equivalent Von Mises membrane and membrane + bending stresses is evaluated, conservatively, with consideration of the maximum values of the stresses in the middle skin and in the upper or lower skin: no linearisation of the stresses of the sections (ligaments) is performed.
Table 3 presents the analysis of the stresses according to KT A for the handling boxes, the reinforcement plates and the "L" shaped reinforcing angle bars.
Zone Equivalent Von Mises stresses Membrane (MPa)
I Membrane + bending (MPa)
L-shaped reinforcing angle bar Handling box PROPRIETARY TABLE Reinforcement plate Table 3: Analysis of shell structures The minimum margin for the L-shaped reinforcing angle bars isllllllllfor the membrane stress.
The minimum margin for the handling boxes isllllfor the membrane stress.
The minimum margin for the reinforcement plates isllllfor the membrane stress.
The criteria are respected for the shell structures.
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No. D02-ARV-01-186-617 framatome C1 - Framatome Restricted REV. A PAGE 20 / 51 6.2.
Weld analysis The weld analysis concerns the welds in the lifting zone, i.e. the following welds:
- S9 between handling boxes and reinforcing angle bars,
- S8 between handling boxes and upper shell,
- S1 between handling boxes and reinforcement plates,
- S7 between L-shaped reinforcing angle bars and upper shell.
The weld beads in the lifting zone are fillet welds with partial penetration. The stresses are calculated in the weld bead groove section drawing based on the forces and moments calculated at the center of gravity of the element along the length of the weld according to the methodology described in Appendix A.
In this note, as the KTA 3905 rules are being used, the equivalent stress is calculated using:
a-eq = a-1 + rf + r}
The minimum dimensions of the groove section for the four types of beads concerned are as follows, according to drawing [3]:
circumferential welds of the angle bar, S7 longitudinal welds of the box, S8:
longitudinal welds of the box, S1:
upright welds between box and angle bar, S9 Table 4, Table 5 and Table 6 present the maximum stress values for each of these four welds.
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Weld 58 External Internal Weld 51 Top Bottom Weld 57 No. D02-ARV-01-186-617 C1 - Framatome Restricted REV. A PAGE 21 / 51 Max. equivalent stress I
Membrane (MPa)
PROPRIETARY TABLE Table 4: Analysis of weld 59 Max. equivalent I
Membrane (MPa) stress PROPRIETARY TABLE Table 5: Analysis of weld 58 Max. equivalent I
Membrane (MPa) stress PROPRIETARY TABLE Table 6: Analysis of weld 51 (v2 = 0.5)
Max. equivalent I
Membrane (MPa) stress PROPRIETARY TABLE Table 7: Analysis of weld 57 I
Membrane+ bending (MPa)
I Membrane+ bending (MPa)
I Membrane+ bending (MPa)
I Membrane+ bending (MPa)
The minimum margin for weld S9 -for membrane + bending stress, internal side.
The minimum margin for weld S8-for membrane+ bending stress, external side.
The minimum margin for weld S1 -
for membrane+ bending stress, bottom weld.
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No. D02-ARV-01-186-617 framatome C1 - Framatome Restricted REV. A PAGE 22 / 51 The minimum margin for weld S7-for membrane stress.
The criteria are respected for all four welds analysed.
6.3.
Analysis of bolts Lifting exerts stress on the bolts connecting the 2 shells of the container. All of the weight of the internal equipment and of the lower shell is taken up by these bolts.
A pre-load on the bolts to a torque-is considered, equivalent to force-(calculation from Appendix A6 of RCC-MR [9]).
The total force on the screws consists of the sum of the pre-load force and the force due to lifting.
The calculation results and the analysis concerning the criteria defined in §5.1.2 are provided in Table 8 and Table 9.
Stress generated by Criterion Margin lifting force (MPa)
(MPa)
PROPRIETARY TABLE Table 8: Analysis of bolts Limitation of mean stress due to mechanical loadings only Stress generated by Criterion lifting force + pre-load (MPa)
(MPa)
PROPRIETARY TABLE Table 9: Analysis of bolts Limitation of the mean stress The minimum margin for the bolts is llllfor mean stress.
The criteria according to RCC-MR are respected in the bolts.
Margin
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No. D02-ARV-01-186-617 framatome C1 - Framatome Restricted REV. A PAGE 23 / 51
- 7.
CONCLUSION The acceptability of the lifting of containers for 14 foot assemblies is checked in accordance with nuclear industry standards (RCC-MR code, KTA rules).
This document takes account of the following lengths of weld beads between the lifting boxes, the reinforcing angle bar and the upper shell of the container: longitudinal weld S8 is continuous and weld S9 has length of**on the outside of the handling box and on the inside.
The load case applied is lifting with four textile slings of equal length joined at a central point at an angle of 45° to the horizontal.
In order to take account of an imbalance in load distribution, the lifting mass is increased by a value justified by a finite element calculation.
The criteria for excessive deformation and plastic instability are respected for the case de of lifting of a loaded container increased-:
For the structures, the minimum margin located on the reinforcing angle bar is -for the maximum membrane stress, For weld S9, the minimum margin is -
for the membrane + bending stress, internal
- side, For weld S8, the minimum margin is -for stress+ bending, external side, For weld S1, the minimum margin is-for stress+ bending, bottom weld (v2 = 0.5),
For weld S7, the minimum margin is-for membrane stress.
On the bolts, the minimum margin is -
for the total mean stress, a margin essentially controlled by the pre-load (
).
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No. D02-ARV-01-186-617 framatome C1 - Framatome Restricted REV. A PAGE 24 / 51 Figure 5: Drawing of the upper shell of the FCC4 container PROPRIETARY FIGURE
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framatome No. D02-ARV-01-186-617 C1 - Framatome Restricted REV. A PAGE 25 / 51 Figure 6: Drawing of handling boxes PROPRIETARY FIGURE
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framatome No. D02-ARV-01-186-617 C1 - Framatome Restricted REV. A PAGE 26 / 51 Figure 7: Presentation of the finite element model PROPRIETARY FIGURE
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No. D02-ARV-01-186-617 framatome C1 - Framatome Restricted REV. A PAGE 27 / 51 Figure 8: Presentation of the finite element model - Details of the handling box PROPRIETARY FIGURE
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framatome No. D02-ARV-01-186-617 C1 - Framatome Restricted REV. A PAGE 28 I 51 Figure 9: Identification of welds studied PROPRIETARY FIGURE
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No. D02-ARV-01-186-617 framatome C1 - Framatome Restricted REV. A PAGE 29 / 51 Figure 10: Thickness distribution of FCC4 container PROPRIETARY FIGURE
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No. D02-ARV-01-186-617 framatome C1 - Framatome Restricted REV. A PAGE 30 / 51 Figure 11: Stabilisation conditions of finite element model PROPRIETARY FIGURE
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framatome C1 - Framatome Restricted Figure 12: Lifting situations PROPRIETARY FIGURE No. D02-ARV-01-186-617 REV. A PAGE 31 / 51
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No. D02-ARV-01-186-617 framatome C1 - Framatome Restricted REV. A PAGE 32 / 51 Figure 13: Lifting situation - central with 4 slings at 45° - lsovalues of displacements
[mm]
PROPRIETARY FIGURE
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No. D02-ARV-01-186-617 framatome C1 - Framatome Restricted REV. A PAGE 33 / 51 Figure 14: Lifting situation - Central with 4 slings at 45° - Equivalent Von Mises iso-stresses - Membrane [MPa]
PROPRIETARY FIGURE
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No. D02-ARV-01-186-617 framatome C1 - Framatome Restricted REV. A PAGE 34 / 51 Figure 15: Lifting situation - Central with 4 slings at 45° - Equivalent Von Mises iso-stresses - Membrane + bending [MPa]
PROPRIETARY FIGURE
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framatome No. D02-ARV-01-186-617 C1 - Framatome Restricted REV. A PAGE 35 / 51 Appendix A: Method for analysis of welded joints
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No. D02-ARV-01-186-617 framatome C1 - Framatome Restricted REV. A PAGE 36 / 51
- 1.
PURPOSE The purpose of this Appendix is to specify the method for analysis of welded joints. All the welds dealt with are fillet welds with partial penetration identified in Figure 9 (welds S1, S7, S8 and S9).
The stresses are evaluated on the "groove section" drawing (see Figure A1):
- Normal stress c, 1-,
- Tangential stress *1-, which is the component perpendicular to the weld axis,
- Tangential stress
- 11. is the component parallel to the weld axis.
The stresses CT1_
- 1-
- 11 are determined using external stresses.
Groove section drawing Figure A1: Components of stresses in the groove section of a fillet weld
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No. D02-ARV-01-186-617 framatome C1 - Framatome Restricted REV. A PAGE 37 / 51
- 2.
CALCULATION OF STRESSES IN THE WELDS BASED ON EXTERNAL STRESSES 2.1.
Forces taken from SYSTUS calculation The generalised forces (efforts per unit of length of centreline) in the shell elements taken from SYSTUS calculation (reference [12)) are:
- NX, NY : membrane forces,
- NXY : shear force,
- MX, MY : bending moments,
- MXY : torsional moment.
The storage sequence for the six individual force components in the SYSTUS results file is:
NX, NXY, NY, MX, MXY, MY.
These forces, calculated at the center of the element, are expressed in the specific local reference frame for each element (Figure A2).
Using the current version of SYSTUS (called "new data structure"), for element of linear spatial shell type, this reference frame is variable and depends on the sequence of definition of the nodes of each element (N1 to N4 in Figure A2).
- Coques :minces : 2003, 2203. 2204, 2004 L3 MXr;)NY
/
' I i /
I MX1t2 I
I I
I I
I
(.._ ___ _
Figure A2: Identification of local axes of thin shells in SYSTUS
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No. D02-ARV-01-186-617 framatome C1 - Framatome Restricted REV. A PAGE 38 / 51 It should be noted that the "shells" convention used by SYSTUS to identify the components of moment is different to the usual RdM convention (SYSTUS: MX moment that produces a stress rJx in the element; RdM: MX moment around X axis).
2.2.
For a fillet weld For fillet welds (S1, S8 and S9), the forces taken from the SYSTUS finite element calculation are oriented according to the specific identifier of each weld for which stresses need to be calculated (Figure A3).
X e
Figure A3: Reference frame of local axes used for calculation of stresses in the fillet welds Each force (SYSTUS notations) produces the following stresses:
Force NX:
INXI fJ.1 = --
a-,fi.
INXI T.1 =--
a-,fi_
Tl/ = 0
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framatome Force NY:
Force NXY:
C1 - Framatome Restricted CT1. = 0 TJ. = 0 Tl/ = 0 CT1. = 0 TJ. = 0 INXYI T11=--
a No. D02-ARV-01-186-617 REV. A PAGE 39 / 51 For moments, the distribution is assumed to be linear along the length of the groove section.
Moment MX (turns around the Y axis):
6IMXI (Tl. = ~
T1. = 0 Tl/ = 0 Moment MY (turns around the X axis):
Moment MXY :
CT1_ = 0 T1_ = 0 Tl/ = 0 CT1_ = 0 T1. = 0 6IMXYI Tl/ =
a2 Lastly, the stresses in the groove section drawing are:
INXI 6IMXI CT1.=
r,;+- av2 a
INXI Tl. = a.,/z INXYI 6IMXYI T11 =--+
2 a
a For the analysis, these stresses are divided into two types:
They are considered element by element for the "long" continuous welds (S8),
For shorter welds (S9 and S 1 ), the stresses may be averaged over the total length of the bead.
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No. D02-ARV-01-186-617 framatome C1 - Framatome Restricted REV. A PAGE 40 / 51 2.3.
For angle bars The angle bar is assumed to be more rigid than the shell (which is true because it has a thickness 2 times that of the shell): in this way the forces on the welds are assumed to be transmitted by the angle bar.
The load set is transposed from the center of the plate, which represents the wing of the angle bar modelled toward the median point between the two welds at the base of the angle bar.
Compared to Figure A4 (in which the forces are expressed in the reference frame of the welded joint instead of in the SYSTUS reference frame), this is equivalent to moving from the SYSTUS calculation point "E" to point "M", in the middle of the angle bar.
Lastly, after forces and moments transfer, the forces are assumed to be taken up in equal parts by the two welds which are located at the base of the angle bar.
AX I
i I
Nx:
b
.-:J z.
/,
xy_.,.,
C E
-z::-.J...
Ny!
~ y Figure A4: Reference frame of local axes used for calculation of stresses in the fillet welds In the SYSTUS local reference frame of the shell element that represents the vertical baseplate of the angle bar, the correlations for the transition are as follows, applying the convention of signs for components of forces and moments provided in paragraph 2.1 above:
MXM = MXE + NX(e - b)/ 2 (turns around Y)
MYM = MYE + NY(e - b)/ 2 (turns around X)
MXYM = MXYE
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No. D02-ARV-01-186-617 framatome C1 - Framatome Restricted REV. A PAGE 41 / 51 The stresses are calculated in relation to the force load set calculated at point "M" using SYSTUS notations:
Force NX : each weld takes NX / 2 if force NX is tension (NX > 0). A compression force (NX < 0) is taken up by contact on the shell. It therefore does not apply load to the weld beads.
(T~ = max(2:~;o)
T~ = maxc:~;0)
Tl/ = 0 Force NY : this force only creates a longitudinal normal stress.
(J~ = 0 Force NXY :
T~ = 0 Tl/ = 0 (T~ = 0 T~ = 0 INXYI Tl/ =-2-a-Moment MX: bending moment may be modelled as 2 opposing forces F applied at the 2 beads, which fits the case of the force NX applied to a fillet weld with:
MXM MXE + NX(e - b)/ 2 F = -- = -------
e e
Hence stresses:
IFI IMXEI + INX(e - b)/ 21 (T~ = a,,/2 =
ae,,/2
_ IFI _ IMXEI + INX(e - b)/ 21 T ~ - a,,/2 -
ae,,/2 Tl/ = 0 Moment MY: this moment only creates a longitudinal normal stress.
(T~ = 0 Moment MXY :
T~ = 0 Tl/ = 0 (T~ = 0 T~ = 0 IMXYI T11 =--
ae
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No. D02-ARV-01-186-617 framatome C1 - Framatome Restricted REV. A PAGE 42 I 51 Lastly, the stresses in the groove section drawing are:
( NX. )
IMXEI + INX(e - b)/2I a 1- -
max r;:;' 0 +
r,:;
2av2 aev2
( NX. )
IMXEI + INX(e - b)/2I r1_ - max r,:;* 0 +
r,;
2av2 aev2 INXYI IMXYI r 11 =--+--
2a ae 2.4.
Calculation of equivalent stress For the welds, the formula for calculation of equivalent stress, in accordance with reference [8]
is:
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No. D02-ARV-01-186-617 framatome C1 - Framatome Restricted REV. A PAGE 43 / 51 Appendix B: Calculation for lower shell lifting lugs
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No. D02-ARV-01-186-617 framatome C1 - Framatome Restricted REV. A PAGE 44 / 51
- 1.
DESCRIPTION Lifting by the lower shell lugs forms an integral part of the lifting procedures. The welds that contribute to the strength of the FCC4 container are analysed according to the KTA rules described in paragraph 5 of this note.
The analysis method is taken from the previous note NVPM DC 99 150.
The geometry and the welds of the lower lugs are described in the drawings in reference [4]
and [7].
Each lower lifting box is composed of (see Figure B1 and Figure B2):
- Two vertical gussets of thickness -
attached to the reinforcement liner (thickness 5 mm) of the lower shell and the closing flange and the base frame rail by welding:
o Dimensions of the liner: length -
and width-*
o The liner is seam welded to the lower shell (weld identifier S32); the weld bead
- apothem_,
o Each gusset is welded to the liner by 3 staggered weld beads (weld identifier S12). The bead length is-the apothem is-o The gussets are seam welded to the closing flange of the lower shell (identifier S15), the apothem is-o The gussets are seam welded to the base frame rail (identifier S 16 and S 17),
the apothem is-
- A vertical reinforcement of thickness** equipped with a circular aperture of-mm forming an attachment point for handling. This reinforcement acts as a spacer between the 2 gussets above, to which it is welded; it is also welded to the closing flange. A plate of thickness is used to strengthen the vertical reinforcements of the end boxes used for normal handling operations:
o The vertical reinforcement is welded to each of t~ets by 4 staggered weld beads (weld identifier S 13). The bead length is -
the apothem is-o This vertical reinforcement is also welded to the lower shell closing flange by a seam weld of length -
and apothem- (weld identifier S 14 ),
- A horizontal reinforcement of thickness -
welded to the gussets, the vertical reinforcement and the base frame rail:
o Connection of horizontal reinforcemenUgussets: 2 staggered weld beads of length and apothem- (weld identifier S18),
o Connection of horizontal reinforcemenUvertical reinforcement: seam weld of length and apothem- (weld identifier S19),
o Connection of horizontal reinforcemenUframe rail: seam weld of length and apothem -
(weld identifier S20),
- A plate of thickness** is used to strengthen the vertical reinforcement at the circular aperture for the 4 end boxes. It is welded to this reinforcement by a seam weld of length-- and apothem -
(weld identifier S21 ).
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framatome C1 - Framatome Restricted The packaging lifting boxes are made of steel are provided in § 2.2 of the main document.
No. D02-ARV-01-186-617 REV. A PAGE 45 / 51
, the characteristic values for which
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No. D02-ARV-01-186-617 framatome C1 - Framatome Restricted REV. A PAGE 46 I 51
- 2.
ASSUMPTIONS FOR ANALYSIS The assumptions for lifting by the upper lugs are the same as those used for lifting by the lower lugs: The container is lifted using 4 textile slings of the same length joined at a central point at an angle of 45° to the horizontal. In this case, the slings are in contact on the container forming an angle of 45 degrees in the XZ plane parallel to each box.
The load is the dead weight of the loaded FCC4 container increased by* and taken up by the lower handling lugs.
As a reminder, the mass of the loaded FCC4 container is-kg. The adjusted overall dead weight global is then -
N, or -
N per box.
The calculation applies for any lifting boxes: no consideration is given to any existing reinforcements on end boxes used normally for handling operations, i.e. a longer liner and a plate welded onto the vertical reinforcement.
The metal sheets are assumed not to be stiff enough to transfer forces at distance, so only the weld beads S32, S 12 and S 13 are taken into account for calculation of connections between the various structural parts (conservative assumption).
The force applied to each of the four boxes and therefore the welds, can then be broken down as follows:
- A vertical force, Fv = -
N (equal and opposite to the dead weight supported by each box),
- A horizontal force, Fh = -N (at 45° angle).
Fv or Fh will be noted as F.
For conservative purposes, it is assumed that force F is taken up completely by each of the welds by shearing or by tension/compression.
The stresses acting in the groove section are broken down into a perpendicular stress and two shears as shown in the diagram below:
The welds analysed are all considered to be vertical or horizontal.
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No. D02-ARV-01-186-617 framatome C1 - Framatome Restricted REV. A PAGE 47 / 51 The stress OJ _ and the shears -r1-and -r;; in the groove section are then expressed as follows:
Where:
Ch = 1.35 x (F/2) / (L x a)
H = 1.35 x (F/2) / (L x a) w = 1.35 x F / (L x a)
L : total length of the weld = number of edges x number of beads x length of one bead a : apothem of weld bead The dynamic amplification coefficient of 1.35 (see paragraph 5.1.1) used for the lifting attachments of the upper shell is applied again.
Given the thicknesses of the parts that contribute to lifting only the weld beads are subject to formal verification.
The analysis is carried out according to the KT A code in accordance with § 5 of the main document. The welding coefficient, v2 is equal to 1.
The equivalent stress is:
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No. D02-ARV-01-186-617 framatome C1 - Framatome Restricted REV. A PAGE 48 / 51
- 3.
WELD ANALYSIS The analysis of welds S32, S12 et S13 is performed conservatively, considering that the whole of the load per lug is taken up by a few individual welds (about 58% of the total length of the weld beads on the lifting box).
The stress OJ _ and the shears H and "C// are evaluated for the total section of each weld.
The analysis of weld S32 is separated for conservative purposes into the vertical and horizontal zones.
Table B1 summarises the analysis of the 3 welds Welds S32 Vertical I S32 Horizontal I S12 Total length (mm) a (mm)
PROPRIETARY TABLE O'l.
(MPa)
T.//
(MPa)
T,J.
(MPa)
CJ eq (MPa)
Ratio Margin Table B1: Weld analysis for lower handling boxes The criteria are respected with a minimum margin of-In accordance with paragraph 5.2, fatigue analysis is not required.
I S13
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No. D02-ARV-01-186-617 framatome C1 - Framatome Restricted REV. A PAGE 49 I 51
- 4.
CONCLUSION The welds of the lifting attachments of the lower box are subject to lower loading than those of the upper shell attachments.
Using a conservative approach to analysis, the welds meet the criteria of KT A code with a minimum margin of -
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framatome C1 - Framatome Restricted PROPRIETARY FIGURE No. D02-ARV-01-186-617 REV. A PAGE 50 / 51
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framatome C1 - Framatome Restricted PROPRIETARY FIGURE No. D02-ARV-01-186-617 REV. A PAGE 51 / 51