1、GRP tanks and vessels for use above ground Part 5: Example calculation of a GRP-vessel PD CEN/TR 13121-5:2017 BSI Standards Publication WB11885_BSI_StandardCovs_2013_AW.indd 1 15/05/2013 15:06 TECHNICAL REPORT RAPPORT TECHNIQUE TECHNISCHER BERICHT CEN/TR 13121-5 May 2017 ICS 23.020.10 English Versio
2、n GRP tanks and vessels for use above ground - Part 5: Example calculation of a GRP-vessel This Technical Report was approved by CEN on 18 April 2017. It has been drawn up by the Technical Committee CEN/TC 210. CEN members are the national standards bodies of Austria, Belgium, Bulgaria, Croatia, Cyp
3、rus, Czech Republic, Denmark, Estonia, Finland, Former Yugoslav Republic of Macedonia, France, Germany, Greece, Hungary, Iceland, Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta, Netherlands, Norway, Poland, Portugal, Romania, Serbia, Slovakia, Slovenia, Spain, Sweden, Switzerland, Turkey and U
4、nited Kingdom. EUROPEAN COMMITTEE FOR STANDARDIZATION COMIT EUROPEN DE NORMALISATION EUROPISCHES KOMITEE FR NORMUNG CEN-CENELEC Management Centre: Avenue Marnix 17, B-1000 Brussels 2017 CEN All rights of exploitation in any form and by any means reserved worldwide for CEN national Members. Ref. No.
5、CEN/TR 13121-5:2017 E National foreword This Published Document is the UK implementation of CEN/TR 13121-5:2017. The UK participation in its preparation was entrusted to Technical Committee PRI/5, UK steering committee for CEN/TC 210 GRP tanks. A list of organizations represented on this committee c
6、an be obtained on request to its secretary. This publication does not purport to include all the necessary provisions of a contract. Users are responsible for its correct application. The British Standards Institution 2017 Published by BSI Standards Limited 2017 ISBN 978 0 580 97010 8 ICS 23.020.10
7、Compliance with a British Standard cannot confer immunity from legal obligations. This Published document was published under the authority of the Standards Policy and Strategy Committee on 31 July 2017. Amendments/corrigenda issued since publication Date Text affected PUBLISHED DOCUMENT PD CEN/TR 1
8、31215:2017 TECHNICAL REPORT RAPPORT TECHNIQUE TECHNISCHER BERICHT CEN/TR 13121-5 May 2017 ICS 23.020.10 English Version GRP tanks and vessels for use above ground - Part 5: Example calculation of a GRP-vessel This Technical Report was approved by CEN on 18 April 2017. It has been drawn up by the Tec
9、hnical Committee CEN/TC 210. CEN members are the national standards bodies of Austria, Belgium, Bulgaria, Croatia, Cyprus, Czech Republic, Denmark, Estonia, Finland, Former Yugoslav Republic of Macedonia, France, Germany, Greece, Hungary, Iceland, Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta
10、, Netherlands, Norway, Poland, Portugal, Romania, Serbia, Slovakia, Slovenia, Spain, Sweden, Switzerland, Turkey and United Kingdom. EUROPEAN COMMITTEE FOR STANDARDIZATION COMIT EUROPEN DE NORMALISATION EUROPISCHES KOMITEE FR NORMUNG CEN-CENELEC Management Centre: Avenue Marnix 17, B-1000 Brussels 2
11、017 CEN All rights of exploitation in any form and by any means reserved worldwide for CEN national Members. Ref. No. CEN/TR 13121-5:2017 E PD CEN/TR 131215:2017CEN/TR 13121-5:2017 (E) 2 Contents Page European foreword . 5 Introduction 6 1 Scope 7 2 General 7 3 Dimensions of the tank . 7 4 Building
12、materials 9 5 Loadings (9) 9 6 Limit strain for laminate (8.2.2) . 11 7 Influence factors (7.9.5.2) . 11 8 Partial safety factors (Table 12) . 12 9 Combination factors (Table 11) 12 10 Analysis of the cylinder 12 10.1 Influence factor A 5 . 12 10.2 Characteristic strength values . 13 10.3 Moduli of
13、elasticity 13 10.4 Analysis of the cylinder in axial direction . 13 10.4.1 Proof of strength (Ultimate limit state) . 14 10.4.2 Proof of strain (Serviceability limit state) 17 10.4.3 Stability proof (Ultimate limit state) . 19 10.5 Analysis of the cylinder in tangential direction 21 10.5.1 Strength
14、analysis (Ultimate limit state) . 21 10.5.2 Proof of strain (Serviceability limit state) 23 10.5.3 Stability proof for the cylindrical shell tangential (Ultimate limit state) 23 10.5.4 Critical buckling pressure for rings (Ultimate limit state) . 24 10.6 Earthquake design of the cylinder . 26 10.6.1
15、 Analysis of the cylinder in axial direction . 26 10.6.2 Analysis of the cylinder in tangential direction 29 11 Opening in the cylinder 30 11.1 Analysis in circumferential direction . 31 11.1.1 Proof of strength . 31 11.1.2 Proof of strain 31 11.2 Analysis in axial direction . 32 11.2.1 Proof of str
16、ength . 32 11.2.2 Proof of strain 32 12 Analysis of the skirt . 33 12.1 Internal forces of the skirt 33 12.2 Proof of strength (Ultimate limit state) . 34 12.2.1 Design value of actions . 34 12.2.2 Design value of corresponding resistance 34 12.2.3 Verification . 35 12.3 Proof of strain (Serviceabil
17、ity limit state) 35 12.3.1 Design value of actions . 35 PD CEN/TR 131215:2017CEN/TR 13121-5:2017 (E) 3 12.3.2 Limit design value of serviceability criterion. 35 12.3.3 Verification . 35 12.4 Stability proof (Ultimate limit state) . 35 12.4.1 Design value of actions . 35 12.4.2 Design value of corres
18、ponding resistance . 36 12.4.3 Verification . 36 12.5 Earthquake design of the skirt . 36 12.5.1 Internal forces Earthquake . 36 12.5.2 Proof of strength (Ultimate limit state) 37 12.5.3 Proof of strain (Serviceability limit state) . 37 12.5.4 Stability proof (Ultimate limit state) . 38 13 Overlay l
19、aminate connection skirt - vessel . 39 13.1 Proof of strength (Ultimate limit state) 39 13.1.1 Design value of actions . 39 13.1.2 Design value of corresponding resistance . 40 13.1.3 Verification . 40 13.2 Proof of strain (Serviceability limit state) . 40 13.2.1 Design value of actions . 40 13.2.2
20、Limit design value of serviceability criterion. 40 13.2.3 Verification . 40 13.3 Seismic design of the skirt overlay . 41 13.3.1 Proof of strength (Ultimate limit state) 41 13.3.2 Proof of strain (Serviceability limit state) . 41 14 Analysis of the bottom 42 14.1 Influence factor A 5 42 14.2 Charact
21、eristic strength values . 42 14.3 Moduli of elasticity . 42 14.4 Actions, which cause internal forces for the bottom . 42 14.5 Strength analysis (Ultimate limit state) . 42 14.5.1 Design value of actions . 42 14.5.2 Proof of strain (Serviceability limit state) . 44 14.5.3 Stability proof of the bott
22、om (Ultimate limit state) . 45 15 Lower part of the cylinder (Region 1) . 46 15.1 Strength analysis (Ultimate limit state) . 46 15.1.1 Design value of corresponding resistance . 47 15.1.2 Verification . 47 15.2 Proof of strain (Serviceability limit state) . 47 15.2.1 Design value of actions . 47 15.
23、2.2 Limit design value of serviceability criterion. 47 15.2.3 Verification . 47 15.3 Earthquake design of region 1 (Ultimate limit state) 48 15.3.1 Strength analysis (Ultimate limit state) . 48 15.3.2 Proof of strain (Serviceability limit state) . 48 16 Upper part of the skirt (Region 2) 49 16.1 Str
24、ength analysis (Ultimate limit state) . 49 16.1.1 Design value of corresponding resistance . 50 16.1.2 Verification . 50 16.2 Proof of strain (Serviceability limit state) . 50 16.2.1 Design value of actions . 50 16.2.2 Limit design value of serviceability criterion. 50 16.2.3 Verification . 50 PD CE
25、N/TR 131215:2017CEN/TR 13121-5:2017 (E) 4 16.3 Seismic design of region 2 (Ultimate limit state) . 51 16.3.1 Strength analysis (Ultimate limit state) . 51 16.3.2 Design value of corresponding resistance 51 16.3.3 Verification . 51 16.4 Proof of strain (Serviceability limit state) 51 16.4.1 Design va
26、lue of actions . 51 16.4.2 Limit design value of serviceability criterion 51 16.4.3 Verification . 52 17 Flange design . 52 18 Anchorage . 57 18.1 Anchorage for wind loads (Permanent / Transient situation) 57 18.1.1 Uplifting anchor force . 57 18.1.2 Anchor shear force. 57 18.2 Anchorage for seismic
27、 loads (Seismic design situation) 57 18.2.1 Uplifting anchor force . 57 18.2.2 Anchor shear force. 58 PD CEN/TR 131215:2017CEN/TR 13121-5:2017 (E) 5 European foreword This document (CEN/TR 13121-5:2017) has been prepared by Technical Committee CEN/TC 210 “GRP tanks and vessels”, the secretariat of w
28、hich is held by SFS. Attention is drawn to the possibility that some of the elements of this document may be the subject of patent rights. CEN and/or CENELEC shall not be held responsible for identifying any or all such patent rights. PD CEN/TR 131215:2017CEN/TR 13121-5:2017 (E) 6 Introduction EN 13
29、121 consists of the following parts: EN 13121-1, GRP tanks and vessels for use above ground Part 1: Raw materials Specification and acceptance conditions EN 13121-2, GRP tanks and vessels for use above ground Part 2: Composite materials Chemical resistance EN 13121-3, GRP tanks and vessels for use a
30、bove ground Part 3: Design and workmanship EN 13121-4, GRP tanks and vessels for use above ground Part 4: Delivery, installation and maintenance CEN/TR 13121-5, GRP tanks and vessels for use above ground Part 5: Example calculation of a GRP-tank (this report) These five parts together define the res
31、ponsibilities of the tank or vessel manufacturer and the materials to be used in their manufacture. EN 13121-1 specifies the requirements and acceptance conditions for the raw materials - resins, curing agents, thermoplastics linings, reinforcing materials and additives. These requirements are neces
32、sary in order to establish the chemical resistance properties determined in EN 13121-2 and the mechanical, thermal and design properties determined in EN 13121-3. Together with the workmanship principles determined in Part 3, requirements and acceptance conditions for raw materials ensure that the t
33、ank or vessel will be able to meet its design requirements. EN 13121-4 of this standard specifies recommendations for delivery, handling, installation and maintenance of GRP tanks and vessels. This part of EN 13121 gives guidance in use of the standard. CEN/TC 210 has found it necessary to publish a
34、n example calculation of a vessel according to EN 13121-3 due to the standards complexity, and for the understanding of how the standard complies with EN 1990:s principles and requirements for safety, serviceability and durability of structures. The design and manufacture of GRP tanks and vessels in
35、volve a number of different materials such as resins, thermoplastics and reinforcing fibres and a number of different manufacturing methods. It is implicit that vessels and tanks covered by this standard are made only by manufacturers who are competent and suitably equipped to comply with all the re
36、quirements of this standard, using materials manufactured by competent and experienced material manufacturers. Metallic vessels, and those manufactured from other isotropic, homogeneous materials, are conveniently designed by calculating permissible loads based on measured tensile and ductility prop
37、erties. GRP, on the other hand, is a laminar material, manufactured through the successive application of individual layers of reinforcement. As a result there are many possible combinations of reinforcement type that will meet the structural requirement of any one-design case. This allows the desig
38、ner to select the laminate construction best suited to the available manufacturing facilities and hence be most cost effective. PD CEN/TR 131215:2017CEN/TR 13121-5:2017 (E) 7 1 Scope This Technical Report gives guidance for the design of a vessel using the standard EN 13121-3 GRP tanks and vessels f
39、or use above ground. The calculation is done according to the advanced design method given in EN 13121-3:2016, 7.9.3 with approved laminates and laminate properties. 2 General Vessels or vessel structures may contain such structural elements or solutions for which this standard does not provide suff
40、icient guidance. In that case, other methods shall be used in order to obtain a safe structure. This example calculation is based on a pressurized GRP vessel with an internal diameter of D 3000 mm. The cylindrical parts of the vessel are filament wound. Its bottom and roof are torispherical dished e
41、nds that are hand laid up using mixed laminates. Protection against medium attack is obtained by a chemical resistance layer (CRL). The tank is located outdoors in a seismic area. IMPORTANT This example doesnt cover all necessary verifications for the calculation of the GRP tank. Additional verifica
42、tions have to be performed for the roof, the upper cylinder, etc. 3 Dimensions of the tank Sketch of the tank dimensions: PD CEN/TR 131215:2017CEN/TR 13121-5:2017 (E) 8 General Dimensions: Diameter: D = 3 000 mm Total height: H tot = 8 000 mm Cylinder: Thickness cylinder 1: t Cyl,1 = t C1 = 9,2 mm T
43、hickness cylinder 2: t Cyl,2 = t C2 = 11,7 mm Thickness cylinder at roof: t Z,R = 30,0 mm Thickness cylinder at bottom: t Z,B = 46,1 mm Total cylinder length: l Cyl.tot = 6 610 mm Distance between stiffeners: l s.1 = 3700 mm l s.2 = 3303 mm Thickness of the stiffener: t S = 20 mm PD CEN/TR 131215:20
44、17CEN/TR 13121-5:2017 (E) 9 Width of the stiffener: b S = 260 mm Skirt: Thickness skirt: t Sk = 17,0 mm Thickness overlay laminate: t 02 = 7,0 mm Height of the skirt: H Sk = 890 mm Roof: Thickness calotte: t R = 13,0 mm Radius calotte: R R = 3000 mm Thickness knuckle roof: t Rk = 30,0 mm Radius knuc
45、kle: r Rk = 300 mm Height of the roof: H R = 590 mm Bottom: Thickness calotte: t B = 16,5 mm Radius calotte: R B = 3 000 mm Thickness knuckle: t Bk = 45,0 mm Radius knuckle: r Bk = 300 mm Height of the bottom: H B = 590 mm 4 Building materials Resin type: UP-resin, Resin group 4 5 Loadings (9) LC 1:
46、 Dead load The assumed dead loads for the separate tank parts are: Roof: W R,k = 4 kN Area load: w R,k = 0,57 kN/m 2Cylinder + rings: W C,k = 19 kN Bottom: W B,k = 4 kN Area load: w B,k = 0,57 kN/m 2Skirt: W Sk = 3 kN Total dead load of the vessel: W tot = 30 kN LC 2: Liquid filling Density of the m
47、edium liquid = 1,30 kg/dm 3Filling height h liquid = 7 000 mm Volume V = 52,0 m 3LC 3: Long time design overpressure Design pressure PS op.l = 2,000 bar 0,20 N/mm 2LC 4: Short time design overpressure PD CEN/TR 131215:2017CEN/TR 13121-5:2017 (E) 10 Design pressure PS op.s = 2,500 bar 0,25 N/mm 2LC 5
48、: Long time design negative pressure Design pressure PS ep.l = 0,000 bar 0,00 N/mm 2LC 6: Short time design negative pressure Design pressure PS ep.s = 0,050 bar 0,005 N/mm 2LC 7: Wind (9.2.2) Peak velocity pressure q p = 0,8 kN/m 2(EN 19911-4) Force coefficient (cylindrical vessel) c f = 0,8 Extern
49、al pressure arising from wind load: 0, 6 0, 6 0,8 0, 48 / wind p pq kN m =LC 8: Snow (9.2.1) Characteristic snow load s k = 0,85 kN/m 2(EN 19911-3) Shape coefficient = 0,80 Snow load 0,85 0,8 0, 68 / snow k ps kN m = = LC 9: Personnel loading (9.2.8) Live load on the roof p access = 1,5 kN/m 2LC 10: Temperature Design temperature TS = 50C Difference in temperature T = 20 K LC 11: Earthquake (9.2.3.4) Reference peak ground acceleration a gR = 1,00 m/s 2Importance factor 1 = 1,4 Design ground acceleration =
