Pressure Vessel Design for HPgTPC Prashant Kumar, Vikas Teotia, - PowerPoint PPT Presentation

Pressure Vessel Design for HPgTPC Prashant Kumar, Vikas Teotia, Sanjay Malhotra Bhabha Atomic Research Centre Trombay, India 26.07.2019 DUNE Pressure Vessel Meeting 26.07.2019

Topics discussed in previous Meeting Pressure Vessel Shell thickness calculation for AL 5083 Design and Analysis for Torispherical Head Design and Analysis for Elliptical Head Comparison b/w Elliptical Heads based on ratio of Major to Minor axis Analysis of Support for Pressure Vessel Note: Material Properties for AL 5083 (71 MPa) were taken from literature survey DUNE Pressure Vessel Meeting 26.07.2019

Outline • Allowable stress (ASME, D) for PV Materials and corresponding thickness • Maximum Allowable stress for AL 5083 Series • Appendix 1 / Ellipsoidal Head Design • 2D Axisymmetric Analysis & Results Discussion • Assessment of failure criteria and limitation of Div 1 • Design by Analysis (Div 2 ) Requirements • Stress Classification for HPgTPC P. Vessel • Elastic stress analysis to avoid Plastic Collapse • Limit verification to avoid Plastic Collapse • 3D FEM Analysis for HPgTPC Pressure Vessel with distributed mass (300 Ton) Initiated • Summary and Conclusion • Future Work DUNE Pressure Vessel Meeting 26.07.2019

Allowable S for PV Materials & corresponding Thickness S. Categori ASME Allowabl Shell Elliptical Nozzle wall No es Materials e stress (t mm) Head (t, mm) (t, mm) (Plate, sheet), (MPa) (Div 1, UG-27) Appendix 1 Opening II, D 1000 mm 1 Aluminu SB20 A95083, 86.9 33.2 = 34 23 6 m 9 H321 2 Carbon SA 283 118 24.3 = 25 17 5 Steel SA 516 128 22.4 = 23 16 4 SA 537 138 20.8 = 21 14 4 SA 738 158 18.1 = 19 13 4 3 Stainless SA-240 S301 138 20.8 = 21 14 4 Steels SA-666 S21904 177 16.2 = 17 11 3 SA-240 S30815 172 16.7 = 17 12 3 SA-240 S32202 185 15.5 = 16 11 3 4 Nickel SB-409 177 16.2 = 17 11 3 17.8 = 18 SB-424 161 12 4 *** Corrosion allowance, mill tolerance to be added further DUNE Pressure Vessel Meeting 26.07.2019

Maximum Allowable stress for AL 5083 Series DUNE Pressure Vessel Meeting 26.07.2019

Appendix 1 / Ellipsoidal Head Design D / 2h = 5725 / (2*2000) = 1.43 K = 0.67 S. N Description Value t = 23 mm 1 Internal pressure (P) 10 bar (1 MPa) 2 D 5725 mm Crown radius = K * D 3 K 0.66 4 S (AL 5083) 86.9 MPa = 0.67 * 5725 = 3836 mm 5 E 1.00 DUNE Pressure Vessel Meeting 26.07.2019

2D Axisymmetric Analysis & Results Discussion 500 mm Shell Head to Shell Transition Nozzle to Head Junction DUNE Pressure Vessel Meeting 26.07.2019

Assessment of Failure criteria and limitation of Div 1 Assessment Div 1 Div 2 (Particular to HPgTPC) TOF MPST Tresca (earlier) / Distortion Energy Criteria (Now) FOS 3.5 3.0 (Higher S) Load Not Detail consideration classification considered in Design in Design Fabrication and Easy Stringent Inspection compared to Requirement norms Div 2 Failure Criteria Justification for higher allowable stresses (Div 2) • Experienced obtained from other PV Codes • More stringent material requirements • Higher material toughness requirements • Increased NDE DUNE Pressure Vessel Meeting 26.07.2019

Design by Analysis (Div 2 ) Requirements Design by Analysis : It is organised based on protection against the failure modes. 1. Protection against Plastic Collapse 2. Protection against Local Failure 3. Protection against collapse from buckling 4. Protection against failure from cyclic loading 3 Analysis method are provided for evaluating protection against plastic collapse 1. Elastic stress analysis method 2. Limit – Load Method 3. Elastic – Plastic Stress Analysis Method (Ratcheting analysis) DUNE Pressure Vessel Meeting 26.07.2019

Stress Classification for HPgTPC P. Vessel (Div 2) S. N Vessel Location Origin of Stress Type of Stress Classification Component 1 Shell Remote from Internal Pressure General Membrane P m Discontinuities Gradient through shell P b Junction with head or Internal Pressure thickness P L flange Q 2 Dished head Crown Internal Pressure Membrane (Elliptical Head) Bending Knuckle or Junction to Internal Pressure Membrane shell Bending Peak 3 Nozzle Outside the limits Pressure General Membrane P m (In one of the Elliptical of reinforcement P b Pressure and all external Membrane Head) P L loads and moments Bending Q (Load attributed by dead Peak weight of nozzle closure, weight of Person) Nozzle wall Gross structural Membrane discontinuities Bending Peak Differential Expansion 4 Nozzle Closure Center region Internal pressure Membrane P m (Flat head) Bending P b Junction to shell Internal pressure Membrane P L Bending Q DUNE Pressure Vessel Meeting 26.07.2019

Elastic stress analysis to avoid Plastic Collapse S.N AL 5083 (SB209) 1 Density 2657 Kg/m3 2 Isotropic elasticity 71 GPa 3 Tensile yield strength 125 MPa 4 Tensile ultimate strength 275 MPa DUNE Pressure Vessel Meeting 26.07.2019

Limit Verification Load Combination Limit SCL 1 SCL 2 SCL 3 SCL 4 SCL5 SCL 6 SCL SCL 9 SCL 10 (MPa) 7/8 P m (S) 86.9 21.768 13.12 4.35 20.05 27.36 37.662 40.59 87.4 76.95 P b (1.5 S PL ) 130.35 28.593 145.01 62.48 45.673 36.05 30.19 18.12 1.24 34.44 Pm+ P b (1.5 S PL ) 124.05 30.687 124.93 54.34 65.72 63.09 67.851 58.70 87.96 84.06 Peak Stress 29.58 9.64 23.53 16.29 1.43 0.9 0.004 73.97 Max Total 55.68 56.163 67.93 58.83 87.96 120.95 …… …… ……. Remarks Pass Pass Pass Pass Pass Pass DUNE Pressure Vessel Meeting 26.07.2019

3D FE Analysis of HPgTPC Pressure Vessel Load Consideration Solid Model S. Particulars Values N 1 Internal Pressure 10 bar (1 MPa) 2 ID of Shell 5725 mm 3 Head Type Ellipsoidal (D/2h = 1.43) 4 Manhole ID 1000 mm 5 Distributed Mass 300 Ton 6 Shell Thickness 40 mm 7 Nozzle Height 300 mm Mesh DUNE Pressure Vessel Meeting 26.07.2019

Summary and Conclusion • Shell Thickness calculation done for different PV materials including Al 5083 • 2D Analysis and stress classification • Design by Analysis as per Div 2 initiated (Preliminary) • 3D Analysis with distributed mass (300 Ton) initiated DUNE Pressure Vessel Meeting 26.07.2019

Future Work • Thickness calculation as per Div 2 • Rigorous analysis for Ellipsoidal Head and Shell to be carried out (As per Div 2) • Support System • BOLT Design • Flange Design for Pressure Vessel and Heads • Support Locations to avoid excessive sagging and hogging DUNE Pressure Vessel Meeting 26.07.2019

Thank You For Your Kind Attention DUNE Pressure Vessel Meeting 26.07.2019