Verification of Stability for Pressure Vessels (Wind Loads AD3/0 Sec )

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Verification of Stability for Pressure Vessels (Wind Loads AD3/0 Sec.4.1.4.6) Calculation of multiple supports according to AD S3/0, 4.

1 Verification of Stability for Pressure Vessels (Wind Loads AD3/0 Sec ) Calculation of multiple supports according to AD S3/0, 4.4 (Wind Load included) and S3/3 (DIN1055-4, DIN18800) Rev.00 Uri Katanov Pressure Vessel Engineer, FEA and CFD Analyst M.Sc.-MEng. 1

2 Table of Contents General Product overview.3 Materials and Thickness 3 Design and boundary Conditions..3 Materials: AD2000 W1 - Flat products of unalloyed and alloy steel (Materials).. 4 AD2000 W9 Steel Flanges (Materials).. 4 AD2000 W4 Tubes made from non-alloy and alloy steel (Materials)... 5 AD2000 W12-Seamless hollow components made from non-alloy and alloy steel. 5 Design: AD 2000 SECTION S3/0 -Verification of Stability for Pressure Vessels (Wind Loads AD3/0 Sec )...24 AD 2000 SECTION S3/0,S3/3- Calculation of multiple supports according to AD S3/0, 4.4 (Wind Load included) and S3/

3 General Product overview: Materials and Thickness: Item # Description Thickness Std. DIN AD 2000 Calculation approach 1 Housing Shell Thickness 10.0 mm - Sheet St.37-2 S235JR (DIN 17100) AD2000-B1/B9 6 Torispherical Bottom mm - Plate St.37-2 S235JR (DIN 17100) AD2000-B3/B9 11 Support legs U200, Support plate, Pad St.37-2 S235JR (DIN 17100) AD2000 S3/0 S3/3 DIN1055-4, DIN18800 Design and boundary Conditions: Operating pressure Vessel application Operating Temperature range Corrosion allowance Wind loads Seismic loads 10 [N/m^2] [kg/cm^2] (G) Industry 10 to 45 degc 0.0 mm 100 Km/h (27.7m/sec) Steady State (Duration >2Hours) Assumed No Seismic Loads 3

AD2000 W1/W9 Materials S235JR (DIN 17100) Plates and Pipes respectively NOTE: 1.0 [MPa]= 1.0 1.

4 AD2000 W1/W9 Materials S235JR (DIN 17100) Plates and Pipes respectively NOTE: 1.0 [MPa]= [Kg/cm^2]= AD2000, Sec.W1/W9 (TABLE 4)- Minimum lower yield stress (interpolated at design temp) % of 4

5 AD2000 W4/W12 Materials St P235TR (DIN 1629) 2.1 Seamless tubes Tubes of non-alloy steels of quality TR2 with specified room temperature properties as specified in DIN EN At 20 degc: At 65 degc: 5

6 Structure design 1. GENERAL INPUT : Design pressure P P= 10.0 [Bar] Design temperature T= 45.0 C Test pressure P' P'= 14.3 [Bar] Safety factor (Operation) S= 1.50 Safety factor (Test) S'= 1.05 plate at 20⁰C <=16 mm THK St S235JR (DIN ) plate at Design temperature St S235JR <=16 mm THK (DIN ) plate at 20⁰C (>16 to <40 St S235JR THK) (DIN ) plate at Design temperature St S235JR (>16 to <40 THK) (DIN ) plate at 20⁰C (>40 to <100 St S235JR THK) (DIN ) plate at Design temperature St S235JR (>40 to <100 THK) (DIN ) Joint factor for plate v= 0.70 Tube at 20⁰C <=75 mm Wall St P235TR (DIN THK 1629) = Tube at Design temperature St P235TR (DIN <=75 mm Wall THK 1629) = Joint factor for pipe v= 1.00 Corrosion allowance c2= 0.00 mm Allowable stress for bolts at 20⁰C SA193 BM8 = Allowable stress for bolts at Design temperature SA193 BM8 = W1(Table 4)/ W9 (Table 5) W1(Table 4)/ W9 (Table 5) W1(Table 4)/ W9 (Table 5) W1(Table 4)/ W9 (Table 5) W4/W12 - Table 1 W4/W12 - Table 1 NOTE: 1.0 [MPa]= [Kg/cm^2]=

7 2. SUMMARY- External Loads V= Km/h Wind Loads - Given Stady State Velocity S3/0 ( ) + DIN V= m/sec Total wind load results W= N Wind Moment results M= Nm Seismic Loads Not Given S3/0, S3/3 DIN Vessels on Supports - Legs (Item#17) Maximum total weight at operation N Minimum total weight at operation N Summery for strength proove Strength condition for selected load case Strength condition dead weight Anchoring necessary if Stability proof according to DIN part 2, only required if Nfd>Nk if(σv fbe, "Valid", "Violation") if(σv3 fbe, "Valid", "Violation") if(4*m/df>0.7gz, "Necessary, Not Necessary") if(nfd>nk, "Necessary, Not Necessary") Valid Valid Not Necessary Not Necessary Support safety proof The condition for support safety is if(((nfd/k) / Fdpl + βm*(m/mpld) + Dn ) 1, "Valid", "Violation") Valid 7

3. AD 2000 SECTION S3/0 -Verification of Stability for Pressure Vessels (Wind Loads AD3/0 Sec.4.1.4.6) Wind Velocity (according to DIN 1055-4) v= 27.

8 3. AD 2000 SECTION S3/0 -Verification of Stability for Pressure Vessels (Wind Loads AD3/0 Sec ) Wind Velocity (according to DIN ) v= m/sec Dynamic wind pressure (DIN 1055) q=(v^2)/1600 q= 0.48 KN/m^2 Aerodynamic form factor of vessel (AD 3/0 Sec ) for cylindrical vessels and the pipes running parallel to them CfB= 0.7 Consideration of Adjacent vessels (Yes/No) YES distance btwn adjacent vessels or vessels and buildings (w<d) assumed w= 1000 mm Outside vessel Diameter da= 1900 mm Vessel height hb= 3333 mm Wind exposed area of the vessel AB=da*hB AB= 6.33 m^2 Corrected Aerodynamic form factor (AD 3/0 Sec ) eq.(1) Cfcorr=(1+7/(100*(1+w/d)-90.2))*CfB if Consideration of Adjacent vessels set to "NO" (CfB=Cfcorr) Cfcorr= Wind load on vessel WB=Cfcorr*q*AB WB= 2.38 kn 8

9 Type of attachment (1..8) 8 Exposed attachment area <15% vessel area, the wind pressure is generally increased by 25 % (S3/ ) Aerodynamic force factor of the attachment cf= 0 Wind Exposed area of the attachment An= 0 m^2 Number of attachments of the selected type n 4 Total exposed area of all attachments Ang=n*An Ang= 0 m^2 Wind Load on the attachments WA=cf*q*Ang WA= 0 kn for reference only our case is rectangular platform Type of attachment (1..8) 3 1. round full platform 2. round partial platform 100⁰ 3. rectangular platform 4. gangways 5. ladders 6. adjacent pipes w>1.2d 7. adjacent pipes w<1.2d 8. exposed attachment area<15% Rectangular platform, diagonal dimensions dm= 2952 mm Aerodynamic force factor of the attachment cf= 1.4 Wind Exposed area of the attachment An=dm*0.5 An= m^2 Number of attachments of the selected type n 1 Total exposed area of all attachments Ang=n*An Ang= m^2 Wind Load on the attachments WA=cf*q*Ang WA= kn Results Total wind load W=WA+WB W= N Wind Moment M=W*hb/2 M= Nm 9

10 4. AD 2000 SECTION S3/0,S3/3- Calculation of multiple supports according to AD S3/0, 4.4 (Wind Load included) and S3/3 The forces on multiple supports of a vessel are calculated according to AD-S3/0 and evaluated for standard profiles according to DIN The dead load G and the transverse force Q can be prescribed. When the maximum normal force according to AD-S3/3 is exceeded, a stability proof is performed according to DIN part 2 Vessel with support legs Load case (Operation=1,Test=2) 1 Number of supports (Legs) n= 4 Bolt circle diameter of supports df= 2174 mm Lever arm of lateral force hq= 1241 mm Lateral force Quer= N Maximum total weight at operation Gd= N Minimum total weight at operation Gz= N Total profile length hf= 1000 mm Buckling length of profile lk= 2000 mm Distance=Support -Vessel eg= 94.5 mm Angle of inclination (straight profile=0) ϕ= 0 ⁰ Pressure P= bar Temperature T= C Material Code St S235JR (DIN ) Modulus of elasticity (operation) Ebe= N/mm^2 10

11 Next Pages are Confidential 11

DIN EN : (E)

DIN EN : (E) DIN EN 13480-3:2013-11 (E) Metallic industrial piping - Part 3: Design and calculation Contents Page Foreword... 9 1 Scope... 11 2 Normative references... 11 3 Terms, definitions, symbols and units...