ML22277A755
| ML22277A755 | |
| 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:
|
| References | |
| A33010, L-2022-DOT-0008 | |
| Download: ML22277A755 (38) | |
Text
framatome Document
Title:
Document Type:
AC-DESIGN CALCULATION No of Pages:
FCC 4 - containers for fresh fuel assemblies - Stacking behaviour NON-PROPRIETARY VERSION
Subject:
FCC 4 - containers for fresh fuel assemblies - Stacking behaviour 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-01-186-618 I PUBLIC I 38 TRA en
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framatome IND REV ISSUE DATE A
See cover page No. D02-ARV-01-186-618 C1 - Framatome Restricted SECTION REV. A PAGE 2 / 38 REVISIONS PURPOSE OF THE REVISION Original issue, based on previous note EVED DC 02 0144 incorporating the following modifications:
- Length of S9 welds updated mm on external side and on internal side,
- S8 weld modelled continuously,
- Addition of study of S1 weld of the handling
- box,
- Change to 2 stacking levels to reflect the requirements in Chapter 1.7,
- Incorporation of more penalising criteria in CM66 code.
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framatome No. D02-ARV-01-186-618 I NON-PROPRIETARY VERSION I REV. A PAGE 3 / 38
SUMMARY
The acceptability of the stacking of containers for 14 foot assemblies (FCC4) is checked in accordance with CM66 code.
The stacking situation applied is 2-level stacking, with full containers (weight of lower container supports weight of a container), as this situation corresponds to the stacking limit in Chapter 1.7 of this safety analysis report.
Under the terms of the CM66 code, the situation considered is a "normal operation" situation; the weighting coefficient of 1.33 on the dead weight of the containers is taken into account.
The welds are modelled with the following assumptions: the longitudinal S8 weld is a seam weld and the S9 weld has a length of-.,m on the outside of the handling box andllllllnm on the inside.
The reinforcement plates for the upper handling lugs are modelled with a contact condition between them and the boxes.
The analysis of the stresses in the shell structures and the welds presents the following minimum margins:
- For the structures, the minimum margin is -
located on the handling box, internal side 2,
- For weld S9, the minimum margin is -
located on internal side 2 of the handling
- box,
- For weld S8, the minimum margin is -
located on the internal side of the handling box,
- For weld S7, the minimum margin is -
located on the reinforcement angle bar, internal side 2 of the handling box,
- For weld S1, the minimum margin is -
located on the weld of the bottom of the reinforcement plate.
No. D02-ARV-01-186-618 framatome NON-PROPRIETARY VERSION REV. A PAGE 4 I 38 TABLE OF CONTENTS
- 0.
REFERENCES 6
- 1.
INTRODUCTION 7
- 2.
GEOMETRIC DEFINITION OF FCC4 CONTAINER 8
- 3.
FINITE ELEMENT MODELLING OF THE FCC4 CONTAINER 10 3.1.
Mesh 10 3.2.
Materials and masses 10 3.3.
Boundary conditions and stresses 11
- 4.
ANALYSIS RULES AND CRITERIA 13
- 5.
PRESENTATION OF CALCULATION RESULTS 14 5.1.
Container distortions 14 5.2.
Equivalent stresses in the shell structures 14 z
5.3.
Equivalent stresses in the welds 15 z
- 6.
ANALYSIS OF FCC4 CONTAINER 16 l) l)
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Analysis of shell structures 16 z
6.2.
Weld analysis 16
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CONCLUSION 18
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LIST OF APPENDICES AppendixA: Method for analysis of welded joints
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No. D02-ARV-01-186-618 framatome NON-PROPRIETARY VERSION REV. A PAGE 5 / 38 LIST OF TABLES Table 1: Characteristics of materials Table 2: Maximum equivalent Von Mises stress Table 3: Equivalent stresses in the welds Table 4: Analysis of the handling box and reinforcing angle bars Table 5: Weld analysis LIST OF FIGURES Figure 1 : Geometry of S9 welds for the FCC4 model Figure 2: Geometry of S8 weld for FCC4 model Figure 3: Handling box in FCC4 model Figure 4: Drawing of the upper shell of the FCC4 container Figure 5: Drawing of handling boxes Figure 6: Presentation of the finite element model Figure 7: Presentation of the finite element model - Details of the handling box Figure 8: Identification of welds studied Figure 9: Distribution of thicknesses (mm) in the FCC4 container Figure 10: Contact and stabilisation conditions of finite element model Figure 11: Loading condition - Stacking situations Figure 12: 2-level full stacking situation - lsovalues of displacements [mm]
Figure 13: 2-level full stacking situation - Equivalent Von Mises isostresses -
Membrane [MPa]
Figure 14: 2-level full stacking situation - Equivalent Von Mises isostresses -
Membrane [MPa]
Figure 15: 2-level full stacking situation - Equivalent Von Mises isostresses -
Membrane+ bending [MPa]
11 14 15 16 17 8
8 9
19 20 21 22 23 24 25 26 27 28 29 30
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No. D02-ARV-01-186-618 framatome NON-PROPRIETARY VERSION REV. A PAGE 6 / 38
- 0.
REFERENCES
[1]
Safety analysis report for FCC4 packaging - DOS-18-016472
[2]
Note FFP D02 ARV 01 186 617 rev. A: Container for 14 foot assembly-Checking dimensions of lifting attachments - Lifting situation
[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]
Drawing of the upper shell - 14 foot model - Storage detail (handling box): 229 K 2204
[6]
IAEA regulations on the safe transportation of radioactive materials - IAEA SSR 2018 edition
[7]
CM66 Code Rules for calculation of steel structures
[8]
Standard NF EN 10025 Hot-rolled products of non-alloy structural steels
[9]
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-01-186-618 framatome NON-PROPRIETARY VERSION REV. A PAGE 7 / 38
- 1.
INTRODUCTION This note covers the sizing of the FCC4 container in stacking conditions.
Stacking conditions are defined by Article 723 of IAEA regulations SSR-6 of 2018 (reference
[6]): it must be demonstrated that the container can withstand a compressive force equal to five times the maximum weight of the package for 24 hours2.777778e-4 days <br />0.00667 hours <br />3.968254e-5 weeks <br />9.132e-6 months <br />.
However, the number of levels of stacking for the FCC4 container is limited by the requirements in Chapter 1.7 which allows a maximum of 2 levels. Stacking behaviour is therefore verified for 2-level stacking with maximum package mass: stacking of two full containers where the dead weight of a single container is supported by the one below.
The acceptability of the stacking of the FCC4 containers for 14 foot assemblies is checked in accordance with CM66 rules in reference [7].
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 mm on the outside of the handling box and mm on the inside.
These calculations are performed using SYSTUS' software[9].
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No. D02-ARV-01-186-618 framatome NON-PROPRIETARY VERSION REV. A PAGE 8 / 38
- 2.
GEOMETRIC DEFINITION OF FCC4 CONTAINER The geometric definition of the FCC4 container is identical to that in the lifting note in reference [2] and is provided below.
This paragraph provides the dimensions considered for the modelling (see paragraph 3):
- With regard to the upper shells (excluding welds), the references used are references [3] and [5],
- 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:
External S9 welds Internal S9 welds Reinforcing L-shaped angle bars Figure 1: Geometry of S9 welds for the FCC4 model The lengths of the external and internal S9 welds are those of the upper shell drawing mentioned in Chapter 1.4-1 of the safety analysis report with the following values:
- Length of external weld =I mm,
- Length of internal weld= Imm.
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 For conservative purposes, the vertical return of S8 weld is not taken into account in the modelling.
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No. D02-ARV-01-186-618 framatome NON-PROPRIETARY VERSION REV. A PAGE 9 I 38 The welds are identified as follows in the reference drawing [3] and in Figure 4:
- S9 welds: one-sided, between each lifting box and the two "L" ~
reinforcements on each side of them; there are 4 weld beads per box, with a -
- apothem,
- S8 welds: one-sided and continuous, between the end edges of each lifting box and the up~alf-shell, in the longitudinal direction; there are 2 weld beads per box, with a-apothem,
- S7 welds: this is a set of 7 two-sided discontinuous weld beads, with a 1111 apothem, 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 PICTURE 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 [5] and shown in Figure 5.
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No. D02-ARV-01-186-618 framatome NON-PROPRIETARY VERSION REV. A PAGE 10 / 38
- 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 drawings [3] and [5].
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 contact condition 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 element size about-.
The finite element model formed of shells and beams representing the whole of the container is presented in Figure 7.
The bolts connecting the lower and upper shells are modelled by rigid 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 8.
The distribution of thicknesses over the structure is shown in Figure 9.
3.2.
Materials and masses The lower and upper shells of the containers are made of The attachment bolts of the two shells are made of The operating temperature is between -20°C andllllltc. There are no significant variations in mechanical characteristics over this temperature range, relative to 20°C, so the mechanical characteristics applied are those for 20°C.
The mechanical characteristics are taken from the lifting note (reference [21) and shown in Table 1.
No. D02-ARV-01-186-618 framatome NON-PROPRIETARY VERSION REV. A Young's modulus [MPa]
Poisson's ratio[-]
PROPRIETARY TABLE Yield strength, Rpo,2 [MPa]
Tensile strength, Rm [MPa]
Table 1: Characteristics of materials Note: (*) these characteristics are taken from the standard [8].
PAGE 11 / 38 The total maximum mass of a loaded FCC4 container, in accordance with Chapter 1.4, is 5 550 kg distributed over:
- The upper shell -
- The lower shell-
- The internal equipment -
Note: In the finite element model, the element densities forming the structure are calibrated z
to obtain the exact masses indicated.
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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.
Boundary conditions and stresses This note covers stacking of the whole FCC4 container.
The requirement of the standard, reference [6], is represented by:
- A stack of six containers, i.e. the weight of five containers of type FCC4 stacked on the modelled one and supported on its four lifting boxes, plus the dead weight of that one,
- The equivalent of 13 kPa multiplied by the vertically projected area of the package.
The force generated by the weight of five containers is greater than the force obtained by multiplying the pressure of 13 kPa by the projection area However, the number of levels of stacking for the FCC4 container is limited by the requirements in Chapter 1.7 which allows a maximum of 2 levels.
Stacking behaviour is therefore verified for the situation required by Chapter 1.7 of the safety analysis report, i.e. 2-level stacking of containers with maximum load: stacking of two full containers where the dead weight of a single container is supported by the one below.
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No. D02-ARV-01-186-618 framatome C1 - Framatome Restricted REV. A PAGE 12 / 38 Only one container is shown. The loading for this container consists of:
- Its own full weight (permanent load),
- The full container weight located above (permanent load).
In the terms of the CM66 code (reference [71), the situation considered is a situation referred to as "normal operation".
The code requires use of weighting coefficients to be taken into account for these 2 types of load: 1,33 for permanent loads.
The weight of the top container is modelled by a pression distributed over the top horizontal surface of the four lifting boxes effectively in contact with the base pads of the non-modelled container.
The container modelled is supported by its base pads. These are not modelled. The bottom surface of the rail is blocked conservatively on the area corresponding to the handling box (UZ=O).
The flanges between the lower and upper half-shells are considered to be bonded.
The upper handling boxes are welded (weld S8) onto the upper half-shell of the container.
However, the weight of the top container leads to a contact imposed between the handling boxes and the upper shell to prevent penetration between the 2 metal sheets. This contact is considered to be linear and is shown in Figure 10.
In order to take account of this contact, two types of contact conditions are considered:
- Sliding contact: radial coupling by opposite nodes: under this assumption, even if the loading studied is compressive and brings the metal sheet of the lifting box into contact with the metal sheet of the container, the coupling between the opposite nodes, located on the edges of the box, takes place only in the radial direction,
- Adhesive contact: assumption of bonding between sheets in contact without relative displacement: in this case, a coupling of the three displacements is required between the nodes of the box and of the half-shell located on the edges of the box.
These 2 contact assumptions must encompass the reality with sheets that need to slide over each other with friction.
The contact and stabilisation conditions of the finite element model and the loading conditions for stacking are presented respectively in Figure 10 and Figure 11.
Non-linear and elastic calculations are performed using the SYSTUS' software.
in the
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No. D02-ARV-01-186-618 framatome NON-PROPRIETARY VERSION REV. A PAGE 13 / 38
- 4.
ANALYSIS RULES AND CRITERIA The applicable regulation is that concerning safe transport of radioactive material, reference
[6], providing the general requirements concerning the packages.
The analysis of the containers carried out in this study is concerned particularly with the strength of the sheets of the two half-shells, the bases and the lifting boxes, as well as the welded joints on the latter.
The connecting bolts of the half-shells are not under load because compressive loading is taken up by the contact of the connecting flanges between shells.
The rules for analysis provided by the CM66 code (reference [71) are applied, i.e.:
For metal plates: CJm + CJr ::; o-e (equivalent Von Mises stress),
For welded joints: O"eq s; a 2cre (See Appendix A for determination of O"eq).
Where:
- equivalent membrane plus bending stress,
- CTe
- minimum yield strength of material (base metal for welds),
- a
- coefficient of reduction, function of groove depth "a" of the weld bead, taking the following values:
o a= 1 o a= 0.8(1+1/a) for-for-The minimum dimensions of the groove section for the three types of beads concerned are as follows, according to drawing [3]:
- Circumferential welds of the angle bar, S7:-
- Longitudinal welds of the box, S8: -
- Upright welds between box and angle bar, S9: -*
- Longitudinal welds of the box with the reinforcement plate, S1: -
The groove sections, with "a" smaller than the coefficient of reduction ~
Reminder: The weighting coefficients for structures referred to as "in normal operation" in the CM66 code (reference [71) are used: 1,33 for permanent loads.
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No. D02-ARV-01-186-618 framatome NON-PROPRIETARY VERSION REV. A PAGE 14 / 38
- 5.
PRESENTATION OF CALCULATION RESULTS For stacking load, the distribution of displacements and of equivalent Von Mises stresses in the FCC4 container middle, upper and lower skin are presented, for both sliding and adhesive contact conditions.
5.1.
Container distortions The displacement norm is presented in Figure 12 for geometry deformed with an amplification of 50.
For the weighted st~uation with two levels of full containers, the maximum displacement norm is-- in sliding contact and-in adhesive contact, and is located on the planes of symmetry and in the upper part of the container.
5.2.
Equivalent stresses in the shell structures The equivalent Von Mises stresses are presented for the middle skin and for the upper and lower skins, for geometry deformed with amplification of 50:
- Weighted stacking situation with 2 levels of full containers, sliding and adhesive contact condition, membrane stresses: Figure 13 and Figure 14,
- Weighted stacking situation with 2 levels of full containers, sliding and adhesive contact condition, membrane + bending stresses: Figure 15.
It should be noted that the assumption has minimal influence on the contact condition between the handling box and the half-shell except in the area of weld S8.
The maximum equivalent Von Mises stresses are located in the handling boxes by weld S9 on internal side 2 and on the reinforcing angle bars connected to the handling box by weld S9 external side 1; these are presented in Table 2:
Half-shell and Box Equivalent Von Mises stresses (MPa)
Contact Zone Membrane Membrane+bending Handling box Sliding contact Adhesive contact Sliding contact PROPRIETARY TABLE Reinforcing angle bar Adhesive contact Table 2: Maximum equivalent Von Mises stress
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No. D02-ARV-01-186-618 framatome NON-PROPRIETARY VERSION REV. A PAGE 15 / 38 5.3.
Equivalent stresses in the welds The equivalent membrane and membrane + bending stresses calculated using the method defined in Appendix A are presented in Table 3.
Contact between Equivalent Von Mises stresses (MPa)
Weld Half-Shell and Membrane I
Membrane+bending Box S9 Sliding contact Adhesive contact S8 Sliding contact Adhesive contact PROPRIETARY TABLE S7 Sliding contact Adhesive contact S1 Sliding contact Adhesive contact Table 3: Equivalent stresses in the welds
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No. D02-ARV-01-186-618 framatome NON-PROPRIETARY VERSION REV. A PAGE 16 / 38
- 6.
ANALYSIS OF FCC4 CONTAINER 6.1.
Analysis of shell structures The analysis of the stresses in the shell element is carried out again in the handling boxes and the reinforcing angle bars, which are the zones subject to the highest loads in stacking.
The analysis of the equivalent Von Mises membrane + bending stresses is evaluated at the center of gravity of the elements in accordance with paragraph 4.
The allowable stress, equal to the minimum elastic stress is -
Table 4 presents the analysis of the membrane+ bending stresses for the two contact cases and for the handling boxes and the reinforcing angle bars:
Contact CJeq Criterion Zone between Half-Membrane+bendin CJe (MPa)
Margin Location Shell and Box Q (MPa)
Handling Sliding contact box Adhesive contact Reinforcing Sliding contact PROPRIETARY TABLE angle bar Adhesive contact Table 4: Analysis of the handling box and reinforcing angle bars For weighted full two-level stacking, the minimum margin is-located on the handling box, internal side 2 and for sliding contact.
It should be noted that the assumption has minimal influence on the contact condition between the handling box and the half-shell.
The criteria are respected for the shell structures.
6.2.
Weld analysis The repeated weld analysis concerns the welds in the stacking zone (loading zone), i.e.
welds S9, S8 and S7 as well as weld S1 between the handling box and the reinforcement plate.
The weld beads in the stacking 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 of this document.
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No. D02-ARV-01-186-618 framatome NON-PROPRIETARY VERSION REV. A PAGE 17 / 38 In this note, as the CM66 rules are being used, the equivalent stress calculation must comply. The equivalent stress in the weld beads is provided by the formula:
Cleq = CJ1 + 1,8(ri + r})
The groove sections, with "a" smaller thanmm, the coefficient of reduction a Table 5 shows the maximum stress values as well as the margin obtained for each of these four welds and for both sliding and adhesive contact.
Contact Weld between Half-O'eq Max Criterion ae Margin Location Shell and Box (MPa)
(MPa)
S9 Sliding contact Adhesive contact S8 Sliding contact Adhesive contact PROPRIETARY TABLE S7 Sliding contact Adhesive contact S1 Sliding contact Adhesive contact Table 5: Weld analysis It should be noted that the assumption has a major influence on the contact condition between the handling box and the half-shell for weld S8 and to a lesser extent for weld S9.
The minimum margin for weld S9 is-located on internal side 2 of the handling box.
The minimum margin for weld S8 is-located on the internal side of the handling box.
The minimum margin for weld S? is -
located on the reinforcement angle bar, internal side 2 of the handling box.
The minimum margin for weld S1 is -
located on the weld of the bottom of the reinforcement plate.
The criteria are respected for all four welds analysed.
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No. D02-ARV-01-186-618 framatome NON-PROPRIETARY VERSION REV. A PAGE 18 / 38
- 7.
CONCLUSION The acceptability of the stacking of containers for 14 foot assemblies (FCC4) is checked in accordance with CM66 code.
The stacking situation applied is 2-level stacking, with full containers, in accordance with Chapter 1.7 of the safety analysis report.
Under the terms of the CM66 code, the situation considered is a "normal operation" situation; the weighting coefficient of 1.33 on the dead weight of the containers is taken into account.
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 ofmm on the outside of the handling box and mm on the inside.
The reinforcement plates for the upper handling lugs are modelled with a contact condition between them and the boxes: two assumptions for contact have been considered, sliding contact or adhesive contact.
The analysis of the stresses in the shell structures and the welds presents the following minimum margins:
- For the structures, the minimum margin is. located on the handling box, internal side 2,
- For weld S9, the minimum margin is
- located on internal side 2 of the handling
- box,
- For weld S8, the minimum margin is -
located on the internal side of the handling box,
- For weld S7, the minimum margin is -
located on the reinforcement angle bar, internal side 2 of the handling box,
All criteria are respected.
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No. D02-ARV-01-186-618 framatome NON-PROPRIETARY VERSION REV. A PAGE 19 / 38 Figure 4: Drawing of the upper shell of the FCC4 container PROPRIETARY FIGURES
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framatome No. D02-ARV-01-186-618 NON-PROPRIETARY VERSION REV. A PAGE 20 / 38 Figure 5: Drawing of handling boxes PROPRIETARY FIGURES
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framatome No. D02-ARV-01-186-618 NON-PROPRIETARY VERSION REV. A PAGE 21 / 38 Figure 6: Presentation of the finite element model PROPRIETARY FIGURES
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No. D02-ARV-01-186-618 framatome NON-PROPRIETARY VERSION REV. A PAGE 22 / 38 Figure 7: Presentation of the finite element model - Details of the handling box PROPRIETARY FIGURES
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framatome No. D02-ARV-01-186-618 NON-PROPRIETARY VERSION REV. A PAGE 23 / 38 Figure 8: Identification of welds studied PROPRIETARY FIGURES
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No. D02-ARV-01-186-618 framatome NON-PROPRIETARY VERSION REV. A PAGE 24 / 38 Figure 9: Thickness distribution (mm) in the FCC4 container I
PROPRIETARY FIGURES
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No. D02-ARV-01-186-618 framatome NON-PROPRIETARY VERSION REV. A PAGE 25 / 38 Figure 10: Contact and stabilisation conditions of finite element model PROP RI ET ARY FIGURES
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framatome No. D02-ARV-01-186-618 NON-PROPRIETARY VERSION REV. A PAGE 26 / 38 Figure 11: Loading condition - Stacking situations PROPRIETARY FIGURES
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No. D02-ARV-01-186-618 framatome I NON-PROPRIETARY vERsION REV. A PAGE 27 / 38 Figure 12: 2-level full stacking situation - lsovalues of displacements [mm]
PROPRIETARY FIGURES
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No. D02-ARV-01-186-618 framatome NON-PROPRIETARY VERSION REV. A PAGE 28 / 38 Figure 13: 2-level full stacking situation - Equivalent Von Mises iso-stresses -
Membrane [MPa]
PROPRIETARY FIGURES
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No. D02-ARV-01-186-618 framatome NON-PROPRIETARY VERSION REV. A PAGE 29 / 38 Figure 14: 2-level full stacking situation - Equivalent Von Mises iso-stresses -
Membrane [MPa]
PROPRIETARY FIGURES
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No. D02-ARV-01-186-618 framatome NON-PROPRIETARY VERSION REV. A PAGE 30 / 38 Figure 15: 2-level full stacking situation - Equivalent Von Mises isostresses -
Membrane + bending [MPa]
PROPRIETARY FIGURES
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framatome No. D02-ARV-01-186-618 NON-PROPRIETARY VERSION REV. A PAGE 31 / 38 Appendix A: Method for analysis of welded joints
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No. D02-ARV-01-186-618 framatome NON-PROPRIETARY VERSION REV. A PAGE 32 / 38 A1.
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 8 (welds S9, S8, S1 and S7).
The stresses are evaluated on the "groove section" drawing (see Figure A. 1 ):
normal stress er.1,
tangential stress r.1, which is the component perpendicular to the weld axis, tangential stress r 11, is the component parallel to the weld axis.
The stresses cr.1 r.1 r11 are determined using external stresses.
Groove section drawing
1'*-
K I
Figure A. 1: Components of stresses in the groove section of a fillet weld For welds S9 and S 1, the stresses are averaged over the total length of the bead.
z z
(.)
(.)
LU z
No. D02-ARV-01-186-618 framatome NON-PROPRIETARY VERSION REV. A PAGE 33 / 38 A2.
CALCULATION OF STRESSES IN THE WELDS BASED ON EXTERNAL STRESSES A2.1 Forces taken from SYSTUS' CALCULATION The generalised forces (forces per unit of length of centreline) in the shell elements taken from SYSTUS' (reference [9]) 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 base for each element (Figure A. 2).
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 (N 1 to N4 in Figure A. 2).
- Coque-.s mince'> : 2003, 2203, 2204, 2004 L3
- \\1XY0 NY I /
1/
I MX t/t2 I
I I
I I
I I
'~--.... _
Figure A. 2: Identification of local axes of thin shells in SYSTUS'
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No. D02-ARV-01-186-618 framatome NON-PROPRIETARY VERSION REV. A PAGE 34 / 38 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 a-x in the element; RdM: MX moment around X axis).
A2.2 For a fillet weld For fillet welds (S8, S9 and S1 ), the forces taken from the SYSTUS' finite element calculation are oriented according to the specific reference frame of each weld for which stresses need to be calculated (Figure A. 3).
X Figure A. 3: Reference frame of local axes used for calculation of stresses in the fillet welds Each force (SYSTUS' notes) produces the following stresses:
Force NX:
Force NY:
Force NXY :
INXI 0"_1 = --
a../2 INXI T.1 =--
a../2 Tl/ = 0 0"_1 = 0 T_1 = 0 Tl/ = 0 0"_1 = 0 T.1 = 0 INXYI T11 =--
a For moments, the distribution is assumed to be linear along the length of the groove section.
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framatome NON-PROPRIETARY VERSION Moment MX (turns around the Y axis):
6IMXI (J l. = ~
T1. = 0 Tl/= 0 Moment MY (turns around the X axis):
Moment MXY :
lT1. = 0 T1. = 0 Tl/= 0 0-1. = 0 T1. = 0 6IMXYI Tl/=
a2 Lastly, the stresses in the groove section drawing are:
INXI 6IMXI 0-1.=
r,:;+- av2 a
INXI T1. = avf2 INXYI 6IMXYI r11=--+
2 a
a For the analysis, these stresses are divided into two types:
No. D02-ARV-01-186-618 REV. A PAGE 35 / 38 They are considered element by element for the "long" continuous welds (S8),
For shorter welds (S9 and S1 ), the stresses are averaged over the total length of the bead.
A2.3 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 A. 4 (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.
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framatome NON-PROPRIETARY VERSION b
E "
No. D02-ARV-01-186-618 REV. A PAGE 36 / 38 C
~!
I Figure A. 4: 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-01-186-618 framatome NON-PROPRIETARY VERSION REV. A PAGE 37 / 38 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.
(T~ = 0 Force NXY :
T~ = 0
<11 = 0 (T~ = 0 T~ = 0 INXYI Tl/ ="za" 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:
IMX I+ INX(e - b)I F = MXM =
E 2
e e
f Hence stresses:
_ IFI _ IMXEI + INX(e - b)/ 21 (T~
- a~-
ae~
_ IFI _ IMXEI + INX(e - b)/ 21 r~ - a~-
ae~
<11 = 0 Moment MY: this moment only creates a longitudinal normal stress.
(T~ = 0 T~ = 0 Tl/ = 0
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No. D02-ARV-01-186-618 framatome Moment MXY :
NON-PROPRIETARY VERSION CT1. = 0 T.L = 0 IMXYI r 11 =--
ae REV. A Lastly, the stresses in the groove section drawing are:
( NX. )
IMXel + INX(e - b)/2I CT1. - max r,::;' 0 +
r,:;
2av2 aev2
( NX. )
IMXel + INX(e - b)/2I r 1. - max r,:;, 0 +
r,;
2av2 aev2 INXYI IMXYI rl/ =--+--
2a ae A2.4. Calculation of equivalent stress PAGE 38 I 38 For the welds, the formula for calculation of equivalent stress, in accordance with reference
[7] is:
CTeq = crl + 1,8(r1 + r})