Download - Sample4 Spreadsheet

Code: ASME VIII-1Year: 2007 Cust: Pressure Vessel Engineering

Addenda: 2009 Desc: Sample Vessel 4MAWP: 150 psi Dwg: Sample 4

MEAWP: 0 psi ID: Sample 4Max. Temp.: 120 °F

MDMT: -20 °FMDMT Press.: 150 psi

Min. Thk. (UG-16b): 0.09375 inCorrosion Allowance: 0.125 in

Hydrotest: 195 psiImpact Testing: No

Impact Exemption: UG-20(f)Radiography: None

Internal Press.: YesExternal Press.: NoVessel Weight: Yes

Weight of Attachments: NoAttachment of Internals: No

Attachment of Externals: YesCyclic or Dynamic Reactions: No

Wind Loading: NoSeismic Loading: Yes

Fluid Impact Shock Reactions: NoTemperature Gradients: No PVEcalc-Sample 4 Calulations

Differential Thermal Expansion: No Author: Brian MunnAbnormal Pressures: No Reviewer: Laurence Brundrett

Hydrotest Loads: No

[email protected]

Phone 519-880-9808

Pressure Vessel Engineering Ltd.120 Randall Drive, Suite B

Waterloo, Ontario, Canada, N2V 1C6

Pressure Vessel Engineering Ltd.ASME Calculations - CRN Assistance - Vessel Design - Finite Element Analysis

Design ConditionsASME Section VIII-1 Calculations

UG-22 Loadings Considered

Conclusion: The sample vessel has been calculated to ASME Section VIII-1 and found acceptable.

http://www.pveng.com

mailto:[email protected]

Table of Contents 15-Apr-10 of 21

Contents PageCover 1Table of Contents 2Material Properties 3Rolled Plate Shell 4F&D Heads 5N1 - 4" Sch. 160 6N2 - 4" Sch. 160 on Head 7N1 & N2 - Flange 8N3 - 1" NPT 6000# H.Cplg 9N4 & N5 - 4" Process Conn. 10N4 & N5 Flange 11 - 12M1 - 12"x16" MWY on Head 13 - 14M2 - 12"x16" MWY on Shell 15Vessel Weight & Volume 16Lifting Lugs 17Seismic - Vessel on Beams 18

Rev Date By1 06/03/02 LB2 12/18/08 ART3 4/08/10 BEMRevised

Revision(s)Description

ReleaseRevised

1 Material Properties ver 2.01 www.pveng.com 15-Apr-10 of 212

3 <- Vessel4

5 Design Pressure UG-22(a)6 150.0 <- P, internal operating pressure at top of vessel (psig)7 0.0 <- mPa, external operation pressure8 Water. fresh <- Operating Fluid9 12.000 <- h, fluid height (ft) 10 1.000 <- rho, fluid density (1.0 for water) 11 Design Pressure = P + 0.4331*rho*h = 150 + 0.4331 * 1 * 12 mDp = 155.212

13 Hydro Test (UG-99(b)) pressure measured at top of vessel, rounded up14 Test Press = P * 1.3 * MR = 150 * 1.3 * 1 mTp = 19515

16 Material Properties (ASME IID)17 120 <- mTemp, design temp ºF Test at ambient temp

18

Where Used Ambient Strength

Design Strength

Strength Ratio

Max ºF Ext Graph

19 Shell, Heads 20000 20000 1.000 1000 CS-220 Nozzles, Manway 17100 17100 1.000 1000 CS-221 Flange Pads 20000 20000 1.000 1500 HA-222 Flanges, Couplings 20000 20000 1.000 1000 CS-223 Legs 17100 17100 1.000 650 CS-224 25000 25000 1.000 1000 25

26

27

28

29

30

31

32

33 34 35 36 37 38 39 40 41 42 43 44 Min Ratio (MR) = 1.00045

46

47

48

SA-106 B Seamless Pipe

Material

SA-516 70 Plate

Sample Vessel 4

SA-240 316 PlateSA-105 ForgingSA/CSA-G40.21 44W (38W Stresses used)SA-193 B7 Bolts <= 2.5"


1 Pipe and Shell ver 4.08 of 212 Description3 Options:4 Interior ip? - Calculate interior pressure5 No Exterior ep? - Calculate exterior pressure6 Rolled Plate pr? - Pipe or rolled plate7 Non-Threaded pt? - Type of pipe8 No relief? - Stress Relief Calculations Required

9 Dimensions:10 60.000 Do [in] - outside diameter11 0.5000 t [in] - nominal wall thickness12 0.094 tminUG16b [in] - minimum wall per UG-16(b)13 120.000 L [in] - length for volume and weight14 0.125 Corr [in] - corrosion allowance

15 Material and Conditions:16 SA-516 70 Material17 20,000 S [psi] - allowable stress level18 0.70 El - longitudinal efficiency (circ. stress)19 0.70 Ec - circ. connecting efficiency (longitudinal stress)20 0.000% UTP [%] - undertolerance allowance21 0.000 UTI [in] - undertolerance allowance22 155.20 P [psi] - interior pressure

23 Stress Classification:24 NOTE: Both validity checks need to be "Acceptable" in order to use this sheet25 If not, refer to sheet "Thick Cylindrical Shell"26 ckValidity1 = tmin < 0.5*(Do/2) 0.331 < 0.5*(60/2) = Acceptable27 ckValidity2 = P< 0.385*S*El 155.2< 0.385*20000*0.7 = Acceptable

28 Variables:29 Td = 0.000 0 = 0.00030 UT [in] = t*UTP+UTI 0.5*0+0 = 0.00031 nt [in] = t-Corr-UT-Td 0.5-0.125-0-0 = 0.37532 Ri [in] = Do/2-nt 60/2-0.375 = 29.62533 Volume [cuft] = ((Do/2-t)^2)*π*L/1728 ((60/2-0.5)^2)*3.1416*120/1728 = 189.859

34Weight [lb] = (Do-t)*π*L*t*40.84/144

(60-0.5)*3.1416*120*0.5*40.84/144 = 3180.8435 Interior Pressure: VIII-1 UG-27(c)(1,2)36 ta [in] = P*Ri/(S*El-0.6*P) 155.2*29.625/(20000*0.7-0.6*155.2) = 0.33137 tb [in] = P*Ri/(2*S*Ec+0.4*P) 155.2*29.625/(2*20000*0.7+0.4*155.2) = 0.16438 tmin [in] = MAX(ta,tb,tminUG16b) MAX(0.331,0.164,0.094) = 0.33139 tr1 [in] = P*Ri/(S*1-0.6*P) 155.2*29.625/(20000*1-0.6*155.2) = 0.23140 Checkt = tmin <= nt 0.331 <= 0.375 = Acceptable41 PMaxA [psi] = (20000*0.7*0.375)/(29.625+0.6*0.375) = 17642 PMaxB [psi] = (2*S*Ec*nt)/(Ri-0.4*nt) (2*20000*0.7*0.375)/(29.625-0.4*0.375) = 35643 PMax [psi] = Min(PMaxA,PMaxB) MIN(176,356) = 17644 CheckP = PMax >= P 176 >= 155.2 = Acceptable

Rolled Plate Shell

(S*El*nt)/(Ri+0.6*nt)

t

Do

Leng

th

Long

Sea

m

39 Heads ver 4.15 Torispherical www.pveng.com 15-Apr-10 of 2140 NO Appendix 1-4(f)22 <- Vessel42 <- Desc43

44 Dimensions:45 60.000 <- Do, outside diameter48 60.000 <- L, inside crown radius49 3.600 <- IKR, inside knuckle radius51 0.750 <- tb, thickness before forming53 0.675 <- tf, thickness after forming54 0.094 <- tminUG16(b) - Min.t. Per UG-16(b)55 0.125 <- Corr, corrosion allowance56 1.500 <- Skirt, straight skirt length57

58 Material and Conditions:59 SA-516 70 <- material60 20,000 <- S, allowable stress level (psi)61 0.85 <- E, efficiency65 155.2 <- P, interior pressure66 0.0 <- Pa, exterior pressure69

70 Calculated Properties:74 68.7 <- Approx. blank dia (inch) 11.66 <- Volume (cuft, includes skirt)75 789.5 <- Approx. weight (lbs, steel) 54.574 <- Spherical Limit76 9.770153 <- Depth of Head78

115 Variables:116 D = Do-2*t = 60-2*0.55 D = 58.90123 t = tf-corr = 0.675-0.125 t = 0.55125 L /r = L/IKR = 60/3.6 L /r = 16.667126 M = = 0.25*(3+sqrt(60/3.6)) M = 1.771128 Ro = L + tb = 60 + 0.75 Ro = 60.750131

134 Interior Pressure App 1-4(a), App 1-4(d):137 App. 1-4(a) check: 0.0005 =< tf/L < 0.002 = 0.0005=<0.675/60<0.002 tf/L = 0.0113138 IF(tf/L<0.002,IF(tf/L>=0.0005,"Calculation required","Error"),"Calculation not required") App. 1-4(f) calculation not required141 TMinI = (P*L*M)/(2*S*E - 0.2*P) <= t TminI = 0.485142 = (155.197*60*1.771)/(2*20000*0.85 - 0.2*155.197) <= 0.55146 TMin = Max(Tminl,tminUG16(b))<=tf-corr Acceptable TMin = 0.485149 PMax = (2*S*E*t)/(L*M + 0.2*t) >= P Acceptable PMax = 175.8150 = (2*20000*0.85*0.55)/(60*1.771 + 0.2*0.55) >= 155.197153

157 Interior Pressure for Nozzles App 1-4(a), App 1-4(d), UG-37(a)(1):158 TMinE1 = (P*L*M)/(2*S*1 - 0.2*P) <= t (Nozzle in Knuckle) TMinE1 = 0.413159 = (155.197*60*1.771)/(2*20000*1 - 0.2*155.197) <= 0.55165 TSp = (P*L*1)/(2*S*1 - 0.2*P) (Nozzle in Crown) Tsp = 0.233166 = (155.197*60*1)/(2*20000*1 - 0.2*155.197)167

177 Head stress relief UCS-79(d), UNF-79(d), UHA-44(d)180 Rf = IKR+tb/2 = 3.6+0.75/2 Rf = 3.975181 % elong = ((75*tb)/Rf)*(1-Rf/Ro) = ((75*0.75)/3.975)*(1) % elongation = 14.2184 5.0% <- Max Elongation185 Yes <- Cold Formed 14.2% <- Elongation Required Yes ?186 no <- Vessel carries lethal substances(Yes/no) no no187 no <- Impact testing is required (Yes/no) no no188 no <- Formed between 250 and 900 Degrees F no no189 no <- Greater than 10% reduction in thickness no no190 Yes <- Head is greater than 5/8" thick before forming Yes ? YES191 Stress Relieve ? YES

0.25*(3+sqrt(L/ikr))

Sample 4F & D Heads


30 Nozzle Reinforcement ver 3.90 UW16(c) <- SavedDesign 15-Apr-10 of 2131 Automatic dh - not hillside22 <- Vessel Automatic Limit Diameter33 <- Description Curved Shell or Head Section34 Shell:35 SA-516 70 <- Shell Material36 20,000 <- Sv, shell allowable stress level, PSI37 1.00 <- E1, efficiency of shell at nozzle38 59.00 <- Ds, Shell ID39 0.500 <- Vt, shell wall thick, uncorroded, UT removed40 0.231 <- tr, required shell wall thickness int. press.(E=1)41 0.000 <- trE, required shell wall thickness ext. press.(E=1)42 0.125 <- sca, shell corrosion allowance43 0.094 <- tmin16b, Min allowed wall per UG-16(b) 44 Nozzle:45 SA-106B <- Nozzle Material46 17,100 <- Sn, allowable stress level (Sn)47 17,600 <- B, from A = 0.0959048 1.00 <- E, nozzle efficiency 49 155.20 <- P, internal design pressure50 0.0 <- Pa, external design pressure51 4.500 <- Do, outside diameter54 0.531 <- Nt, wall thick, uncorroded55 12.5% <- UTp, undertolerance (%)57 0.125 <- nca, nozzle corrosion allowance58 6.000 <- L, exterior Projection61 Reinforcing:71 0.375 <- Leg41, size of weld fillet74 1.000 <- F87 Variables:88 UT = Nt*UTp = 0.531 * 0.125 Undertolerance UT = 0.06690 Rn = Do/2 - (Nt-nca) + UT = 4.5/2 - (0.531-0.125) + 0.066 Effective Radius Rn = 1.91095 t = Vt-sca = 0.5 - 0.125 Effective Shell Thickness t = 0.375101 tn = Nt-nca = 0.531-0.125 Avail. Nozzle Thick. No UT tn = 0.406102 d = Do-2*tn = 4.5 - 2*0.406 Opening Dia. d = 3.688108 fr1 = MIN(Sn/Sv,1) = MIN(17100/20000, 1) fr1 = 0.855111 fr2 = MIN(Sn/Sv,1) = MIN(17100/20000, 1) fr2 = 0.855127 tcLeg41 = Min(0.25,0.7*Min(0.75,tn,t)) = Min(0.25,0.7*Min(0.75,0.406,0.375)) tc41 = 0.250133 F = Min(Fenterered, 1) F = 1.000141 Pipe Required Wall Thickness - trn from internal, trnE from external pressure142 LDo = L/Do LDo = 1.333 Dot = Do/trnE Dot = 0.000143 trn = (P*Rn)/(Sn*E - 0.6*P) <= tn-UT = (155.2*1.91)/(17100*1 - 0.6*155.2) trn = 0.017 Acceptable145 trnR = (P*Rn)/(Sn*1 - 0.6*P) = (155.2*1.91)/(17100*1 - 0.6*155.2) E=1 trnR = 0.017146 trnE = (3*Do*Pa)/(4*B) <= tn-ut trnE = 0.000 Acceptable148 Geometry Constraints:149 0.7*Leg41 >= tc41 0.7*0.375 >= 0.25 0.263 >= 0.250 Acceptable180 Appendix 1-7 Necessary Check181 when Ds>60,if(2*Rn<=Ds/3,if(2*Rn<=40, "App. 1-7 calculations not required","App. 1-7 calculations required"),"App. 1-7 calculations required")182 when Ds<=60,if(2*Rn<Ds/2,if(2*Rn<20,"App. 1-7 calculations not required","App. 1-7 calculations required"),"App. 1-7 calculations required")183 App. 1-7 calculations not required207 Area Replacement: Fig UG-37.1 Pressure From: Internal External208 A = 1.0*d*tr*F + 2*tn*tr*F*(1-fr1) A Required (internal) = 0.879209 = 1.0*3.688*0.231*1 + 2*0.406*0.231*1*(1-0.855)212 Ae = 0.5*(d*trE*1 + 2*tn*trE*1*(1-fr1)) = 0.5*(3.688*0*1 + 2*0.406*0*1*(1-0.855)) A Required (external) = 0.000215 A1 = max(d, 2*(t+tn)) * (E1*t-F*tr)-2*tn*(E1*t-F*tr)*(1-fr1) A1 = 0.514216 = 219 A1e = max(d, 2*(t+tn)) * (E1*t-F*trE)-2*tn*(E1*t-F*trE)*(1-fr1) A1e = 1.339220 = 225 A2 = min((tn-trnR)*fr2*Min(5*t,2*L) , (tn-trnR)*fr2*Min(5*tn,2*L)) A2 = 0.623226 = 230 A2e = min((tn-trnE)*fr2*Min(5*t,2*L) , (tn-trnE)*fr2*Min(5*tn,2*L)) A2e = 0.651231 = 240 A41 = Leg41^2*fr2 = 0.375^2*0.855 A41 = 0.120 0.120249 Actual Area = 1.257 2.110250 Acceptable Actual-Required = 0.378 2.110330

331 Tstd = Standard pipe wall thickness from chart Tstd = 0.237332 Swre = tr * Pa / P = 0.231 * 0 / 155.197 Req. Exterior pressure Swre = 0.000333 Nact = Nt * (1-UTp) = 0.531 * (1-0.125) Actual Wall Thick. Nact = 0.465334 Tt = 0.8/Nth = 0.8/0 Ug-31(c)(2) threads Tt = 0.000335 UG-45 Acceptable336 UG45 = Max(UG45a, UG45b) <= Nact = Max(0.142, 0.332) <= 0.465 UG45 = 0.332337 UG45a = Max(trn,trnE) + Nca + Tt = Max(0.017,0) + 0.125 + 0 UG45a = 0.142338 UG45b = Min(UG45b3,UG45b4) 0.355961 UG45b = 0.332339 UG45b1 = Max(tr + Sca, tmin16b + Sca) = Max(0.231 + 0.125, 0.094 + 0.125) UG45b1 = 0.356340 UG45b2 = Max(Swre + Sca,tmin16b + Sca) = Max(0 + 0.125,0.094 + 0.125) UG45b2 = 341 UG45b3 = Max(UG45b1,UG45b2) = Max(0.356,) UG45b3 = 0.356342 UG45b4 = Tstd*0.875 + Nca = 0.237*0.875 + 0.125 UG45b4 = 0.332

www.pveng.comSample 4

N1 - 4" SCH 160 Pipe

= (3*4.5*0)/(4*17600)

max(3.688,2*(0.375+0.406))* (1*0.375-1*0.231)-2*0.406*(1*0.375-1*0.231)*(1-0.855)

max(3.688,2*(0.375+0.406))* (1*0.375-1*0)-2*0.406*(1*0.375-1*0)*(1-0.855)

min((0.406-0.017)*0.855*Min(5*0.375,2*6) , (0.406-0.017)*0.855*Min(5*0.406,2*6))

min((0.406-0)*0.855*Min(5*0.375,2*6) , (0.406-0)*0.855*Min(5*0.406,2*6))

= Min(0.356, 0.332)

UW-16.1 (c)

Leg41

Noz

zle

Shell

Leg41t

Nt

Vt

Do


30 Nozzle Reinforcement ver 3.90 UW16(c) <- SavedDesign 15-Apr-10 of 2131 Automatic dh - not hillside22 <- Vessel Automatic Limit Diameter33 <- Description Curved Shell or Head Section34 Shell:35 SA-516 70 <- Shell Material36 20,000 <- Sv, shell allowable stress level, PSI37 1.00 <- E1, efficiency of shell at nozzle39 0.500 <- Vt, shell wall thick, uncorroded, UT removed40 0.233 <- tr, required shell wall thickness int. press.(E=1)41 0.000 <- trE, required shell wall thickness ext. press.(E=1)42 0.125 <- sca, shell corrosion allowance43 0.094 <- tmin16b, Min allowed wall per UG-16(b) 44 Nozzle:45 SA-106B <- Nozzle Material46 17,100 <- Sn, allowable stress level (Sn)47 17,600 <- B, from A = 0.0959048 1.00 <- E, nozzle efficiency 49 155.20 <- P, internal design pressure50 0.0 <- Pa, external design pressure51 4.500 <- Do, outside diameter54 0.531 <- Nt, wall thick, uncorroded55 12.5% <- UTp, undertolerance (%)57 0.125 <- nca, nozzle corrosion allowance58 6.000 <- L, exterior Projection61 Reinforcing:71 0.375 <- Leg41, size of weld fillet74 1.000 <- F87 Variables:88 UT = Nt*UTp = 0.531 * 0.125 Undertolerance UT = 0.06690 Rn = Do/2 - (Nt-nca) + UT = 4.5/2 - (0.531-0.125) + 0.066 Effective Radius Rn = 1.91095 t = Vt-sca = 0.5 - 0.125 Effective Shell Thickness t = 0.375101 tn = Nt-nca = 0.531-0.125 Avail. Nozzle Thick. No UT tn = 0.406102 d = Do-2*tn = 4.5 - 2*0.406 Opening Dia. d = 3.688108 fr1 = MIN(Sn/Sv,1) = MIN(17100/20000, 1) fr1 = 0.855111 fr2 = MIN(Sn/Sv,1) = MIN(17100/20000, 1) fr2 = 0.855127 tcLeg41 = Min(0.25,0.7*Min(0.75,tn,t)) = Min(0.25,0.7*Min(0.75,0.406,0.375)) tc41 = 0.250133 F = Min(Fenterered, 1) F = 1.000141 Pipe Required Wall Thickness - trn from internal, trnE from external pressure142 LDo = L/Do LDo = 1.333 Dot = Do/trnE Dot = 0.000143 trn = (P*Rn)/(Sn*E - 0.6*P) <= tn-UT = (155.2*1.91)/(17100*1 - 0.6*155.2) trn = 0.017 Acceptable145 trnR = (P*Rn)/(Sn*1 - 0.6*P) = (155.2*1.91)/(17100*1 - 0.6*155.2) E=1 trnR = 0.017146 trnE = (3*Do*Pa)/(4*B) <= tn-ut trnE = 0.000 Acceptable148 Geometry Constraints:149 0.7*Leg41 >= tc41 0.7*0.375 >= 0.25 0.263 >= 0.250 Acceptable207 Area Replacement: Fig UG-37.1 Pressure From: Internal External208 A = 1.0*d*tr*F + 2*tn*tr*F*(1-fr1) A Required (internal) = 0.887209 = 1.0*3.688*0.233*1 + 2*0.406*0.233*1*(1-0.855)212 Ae = 0.5*(d*trE*1 + 2*tn*trE*1*(1-fr1)) = 0.5*(3.688*0*1 + 2*0.406*0*1*(1-0.855)) A Required (external) = 0.000215 A1 = max(d, 2*(t+tn)) * (E1*t-F*tr)-2*tn*(E1*t-F*tr)*(1-fr1) A1 = 0.507216 = 219 A1e = max(d, 2*(t+tn)) * (E1*t-F*trE)-2*tn*(E1*t-F*trE)*(1-fr1) A1e = 1.339220 = 225 A2 = min((tn-trnR)*fr2*Min(5*t,2*L) , (tn-trnR)*fr2*Min(5*tn,2*L)) A2 = 0.623226 = 230 A2e = min((tn-trnE)*fr2*Min(5*t,2*L) , (tn-trnE)*fr2*Min(5*tn,2*L)) A2e = 0.651231 = 240 A41 = Leg41^2*fr2 = 0.375^2*0.855 A41 = 0.120 0.120249 Actual Area = 1.250 2.110250 Acceptable Actual-Required = 0.364 2.110330

331 Tstd = Standard pipe wall thickness from chart Tstd = 0.237332 Swre = tr * Pa / P = 0.233 * 0 / 155.197 Req. Exterior pressure Swre = 0.000333 Nact = Nt * (1-UTp) = 0.531 * (1-0.125) Actual Wall Thick. Nact = 0.465334 Tt = 0.8/Nth = 0.8/0 Ug-31(c)(2) threads Tt = 0.000335 UG-45 Acceptable336 UG45 = Max(UG45a, UG45b) <= Nact = Max(0.142, 0.332) <= 0.465 UG45 = 0.332337 UG45a = Max(trn,trnE) + Nca + Tt = Max(0.017,0) + 0.125 + 0 UG45a = 0.142338 UG45b = Min(UG45b3,UG45b4) 0.357977 UG45b = 0.332339 UG45b1 = Max(tr + Sca, tmin16b + Sca) = Max(0.233 + 0.125, 0.094 + 0.125) UG45b1 = 0.358340 UG45b2 = Max(Swre + Sca,tmin16b + Sca) = Max(0 + 0.125,0.094 + 0.125) UG45b2 = 341 UG45b3 = Max(UG45b1,UG45b2) = Max(0.358,) UG45b3 = 0.358342 UG45b4 = Tstd*0.875 + Nca = 0.237*0.875 + 0.125 UG45b4 = 0.332

= Min(0.358, 0.332)

min((0.406-0)*0.855*Min(5*0.375,2*6) , (0.406-0)*0.855*Min(5*0.406,2*6))

max(3.688,2*(0.375+0.406))* (1*0.375-1*0.233)-2*0.406*(1*0.375-1*0.233)*(1-0.855)

max(3.688,2*(0.375+0.406))* (1*0.375-1*0)-2*0.406*(1*0.375-1*0)*(1-0.855)

min((0.406-0.017)*0.855*Min(5*0.375,2*6) , (0.406-0.017)*0.855*Min(5*0.406,2*6))

Sample 4N2 - 4" SCH 160 Pipe on Bot. Head

= (3*4.5*0)/(4*17600)

www.pveng.com

UW-16.1 (c)

Leg41

Noz

zle

Shell

Leg41t

Nt

Vt

Do


18 B16.5/16.47 Flange Ver 2.61 SlipOn 15-Apr-10 of 2119 #VALUE!20

21 <- Vessel22 <- Description23

24 Select Flange25 SA <- Category26 Forged <- Material Type27 SA 105 <- Material28 150 <- Pressure Class29 4.00 <- Nominal Size31

32 Nominal - C-Si33 Table - 2-1.134 Max Temp ºF - 100035 Pod, pipe OD - 4.50036 Nozzle37 0.531 <- tn, Nozzle Wall Thickness (inch)38 0.017 <- tnr, Required Nozzle Wall Thickness (inch)39

40 Operating Conditions Acceptable41 120 <- T, temperature ºF Max press @100ºF [p1] 28542 155.2 <- P, pressure, psig Max press @120ºF [p2] 28043 0.125 <- Corr, corrosion allowance44

45 Flange Welds: 47 0.531 <- F1, pipe fillet size48 0.531 <- F2, flange fillet size F249 17100 <- Sp, allowable stress, pipe 50 20000 <- Sf, allowable stress, flange53

54 Geometry constraint: VIII UW-21 (b)61 wtmin = 0.7*tn = 0.7*0.531 Req. weld throat wtmin = 0.37263 wt = 0.7*MIN(F1,F2) Actual weld throat wt = 0.37264 = 0.7*MIN(0.531,0.531) Acceptable67

68 Weld Strength:69 Min Sa = MIN(Sp,Sf) = MIN(17100,20000) Min Sa = 17,10070 Max Weld Stress = Sa * 0.49 = 17100 * 0.49 Max S = 8,37972 Weld Load = POD^2*pi*P/4 = 4.5^2*pi*155.197/4 Load = 2,46874 Weld Area = Pod*pi*(F1-corr + F2) Area = 13.24775 = 4.5*pi*(0.531-0.125 + 0.531)78 Weld Stress = Load/Area = 2468.305/13.247 Stress = 18679 Acceptable81

82

83

Sample 4N1 & N2 - 4" Class 150 RFSO

15 Coupling ver 2.11 UW16.1Z1M 15-Apr-10 of 2116 www.pveng.com22 <- Vessel18 <- Description19

20 Shell:23 0.675 <- t, Shell Wall Thick (inch)24 0.233 <- tMin, Min Required Wall at E=1 (inch)26 1.875 <- D, Shell Opening Diameter (inch)28 155.2 <- P,design Pressure (psi)29

30 Coupling:31 1 inch 6000# <- Coupling32 SA-105 <- Coupling Material33 20,000 <- Sn, Allowable Stress Level (Sn)35 0.3750 <- F1, Weld Size37 0.094 <- tmin16b, Min allowed wall per UG-16(b) 38 0.125 <- Corrc, Coupling Corrosion Allowance (inch)39 2.250 <- COD - Coupling OD40 1.315 <- POD - Pipe OD42 11.500 <- n, Threads Per Inch44 0.358 <- pt, Corresponding sch XXS Wall Thickness (inch)46 12.5% <- UT, Under Tolerence (%)47

49 Geometry Restrictions Fig. UW-16.150 tcp = (COD-POD)/2-CORRC = (2.25-1.315)/2-0.125 Tcp = 0.34351 Tmin = Min(0.75,tcp,t) = Min(0.75,0.343,0.675) Tmin = 0.34353 tcmin = Min(0.25,0.7*Tmin) = Min(0.25,0.7*0.343) tcmin = 0.24056 t1 = 0.7*F1 = 0.7*0.375 t1 = 0.26364 t1 > = tcMin = 0.263 >= 0.24 Acceptable74

75 Required Coupling Wall Thickness UG-44(c), B16.11 - 2.1.1 and UG-31(c)(2)76 Ro = POD/2-0.8/n = 1.315/2-0.8/11.5 Ro = 0.58877 tp = (1-UT)*pt-Corrc-0.8/n = (1-0.125)*0.358-0.125-0.8/11.5 tp = 0.11978 Min Thick = P*Ro/(Sn*1+0.4*P) = 155*0.588/(20000*1+0.4*155.197)Acceptable trn = 0.00579

80 Pressure Weld Stress UW-18(d) - Pressure Load only UW-16(f)(3)(a)(3)(b)81 Load = COD^2*(PI()/4)*P = 2.25^2*(PI()/4)*155.197 Load = 61782 Weld Area = pi()*((COD+F1)^2-COD^2)/4 Weld Area = 1.43683 = pi()*((2.25+0.375)^2-2.25^2)/488 Max Stress = Min(Sn,Sv) * 0.55 = Min(20000,0) * 0.55 Max Stress = 1100089 Weld Stress = Load / Area = 617 / 1.436 Weld Stress = 43090 Acceptable95 UG-4596 Tstd = Standard pipe wall thickness from chart Tstd = 0.13397 Nact = Pt * (1-UT) Actual Wall Thick. Nact = 0.31398 Tt = 0.8/n Ug-31(c)(2) threads Tt = 0.07099 UG45 = Max(UG45a, UG45b) <= Nact UG45 = 0.241100 = Max(0.199, 0.241) <= 0.313 Acceptable101 UG45a = trn + corrc + Tt UG45a = 0.199102 0.005 + 0.125 + 0.07103 UB45b = Min(UG45b1, UG45b4) UB45b = 0.241104 = Min(0.358, 0.241)105 UG45b1 = Max(tmin+ CORRC, Tmin16b + CORRC) UG45b1 = 0.358106 = Max(0.233 + 0.125, 0.094 + 0.125)107 UG45b4 = Tstd*0.875 + corrc = 0.133*0.875 + 0.125 UG45b4 = 0.241108

109

N3 - 1" Class 6000 NPT Half CouplingSample 4

D

COD

POD

UW-16.1 (Z-1) (Modified)

t1

F1

Inside Vessel

Outside

t

t

FULLPEN.


30 Nozzle Reinforcement ver 3.90 UG40(a-2) <- SavedDesign 15-Apr-10 of 2131 Automatic dh - not hillside22 <- Vessel Automatic Limit Diameter33 <- Description Curved Shell or Head Section34 Shell:35 SA-516 70 <- Shell Material36 20,000 <- Sv, shell allowable stress level, PSI37 1.00 <- E1, efficiency of shell at nozzle39 0.500 <- Vt, shell wall thick, uncorroded, UT removed40 0.231 <- tr, required shell wall thickness int. press.(E=1)41 0.000 <- trE, required shell wall thickness ext. press.(E=1)42 0.125 <- sca, shell corrosion allowance49 155.20 <- P, internal design pressure57 0.125 <- nca, nozzle corrosion allowance62 Flange Pad:64 SA-240 316 <- Flange Pad Material65 20,000 <- Sp, allowable stress level66 9.000 <- Dp, outside diameter67 4.500 <- di, inside (uncorroded)70 1.500 <- tp, pad thick72 0.500 <- Leg42, size of weld fillet74 1.000 <- F77 5.500 <- GOD - gasket OD78 4.500 <- GID - gasket ID79 3.000 <- m - gasket factor80 1,800 <- gy - gasket factor y81 7.500 <- varC - bolt circle dia82 0.625 <- BoltOD, bolt size83 8 <- Nbolt, number of bolts84 1.000 <- DepthT, depth of bolt holes85 25,000 <- Sb - allowable bolt stress at DESIGN temp86 25,000 <- Sba - allowable bolt stress at ASSEMBLY temp87 Variables:91 Dp = Min(2*d,DpEntered) = Min(2*4.75,9) Effective Reinforcing Dp = 9.00095 t = Vt-sca = 0.5 - 0.125 Effective Shell Thickness t = 0.37598 te = tp-Vt = 1.5-0.5 Effective Reinf. Thick. te = 1.000104 d = di+2*nca = 4.5 - 2 * 0.125 Finished Opening Dia. d = 4.750112 fr2 = MIN(Sp/Sv,1) = MIN(20000/20000, 1) fr2 = 1.000115 fr4 = MIN(Sp/Sv,1) = MIN(20000/20000,1) fr4 = 1.000119 varN = (GOD-GID)/2 = (5.5-4.5)/2 Gasket Width in Contact varN = 0.500120 b0 = varN / 2 = 0.5 / 2 gasket seating width b0 = 0.250121 varb = min(Sqrt(b0)/2,b0) = min(Sqrt(0.25)/2,0.25) eff seating width varb = 0.250122 varG = max(GOD-2*varb,(GOD-GID)/2 + GID) gasket load reaction diameter varG = 5.000123 = max(5.5-2*0.25,(5.5-4.5)/2 + 4.5)124 Ro = Dp/2 = 9/2 Ro = 4.500130 tcLeg42 = Min(0.25,0.7*MIN(0.75,te,t)) = Min(0.25,0.7*MIN(0.75,1,0.375)) tc42 = 0.250133 F = Min(Fenterered, 1) F = 1.000148 Geometry Constraints:156 0.7*Leg42 >= tc42 0.7*0.5 >= 0.25 0.350 >= 0.250 Acceptable185 Bolt Loads:199 H = 0.785*varG^2*P = 0.785*5^2*155.197 end load H = 3046200 HP = 2*varb*3.14*varG*m*P = 2*0.25*3.14*5*3*155.197 contact load HP = 3655201 HD = pi/4 * di^2 * P = pi/4 * 4.5^2 * 155.197 end load HD = 2468202 HT = H - HD = 3046 - 2468 face load HT = 577203 Wm1 = H + HP = 3046 + 3655 bolt load Wm1 = 6701204 Wm2 = pi*varb*varG*gy = pi*0.25*5*1800 seating load Wm2 = 7069205 Am = max(Wm1/Sb, Wm2/Sa) = max(6701/25000, 7069/25000) req bolt area Am = 0.283206 Ab = Root*Nbolt >= Am = 0.207*8 Acceptable Ab = 1.656207 Area Replacement: Fig UG-37.1 Pressure From: Internal External210 A = 1.0*d*tr*F = 1.0*4.75*0.231*1 A Required (internal) = 1.097213 Ae = 0.5*d*trE*1 = 0.5*4.75*0*1 A Required (external) = 0.000217 A1 = (d)* (E1*t-F*tr) = (4.75) * (1*0.38-1*0.23) A1 = 0.684221 A1e = (d) * (Eone*t-F*trE) = (4.75) * (1*0.375-1*0) A1e = 1.781237 A5 = ((Dp - d)te-BoltOD*DepthT*2)*fr4 = ((9-4.75)*1-0.625*1*2)*1 A5 = 3.000 3.000245 A42 = Leg42^2*fr2 = 0.5^2*1 A42 = 0.250 0.250249 Actual Area = 3.934 5.031250 Acceptable Actual-Required = 2.895 5.031330


N4 & N5 - 4" Double Sided Flange Pad

UG-40 (a-2)

Leg42 Shell

FullPenn.

Leg42t

ditp

Dp

Vt


1 Flange ver 4.27 of 212 ASME VIII Div I Appendix 23 Description4 Dimensions:5 Fig2-13.2modified fd? - Select a flange design6 9.000 A [in] - flange OD7 4.500 Bn [in] - ID, uncorroded8 1.500 t [in] - flange thickness9 0.500 tn [in] - nozzle wall thickness

10 Gasket:11 5.500 GOD [in] - gasket OD12 4.500 GID [in] - gasket ID13 3.00 m - gasket factor14 1,800 gy - gasket factor y

15 Bolting:16 7.500 varC [in] - bolt circle dia17 0.625 BoltOD [in] - bolt size18 8.0 Nbolt - number of bolts19 1.000 DepthT [in] - thread depth20 0.500 Leg1 [in]

21 Operating Conditions:22 0.125 Corr [in] - corrosion allowance23 155.2 P [psi] - internal operating pressure

24 Material Properties:25 NonCast CastMaterial? - Cast Or NonCast26 20,000 Sf [psi] - allowable flange stress at DESIGN temp.27 20,000 Sfa [psi] - Allowable Flange Stress at ASSEMBLY temp.28 27,900,000 Efo [psi] -Operating Flange Modulus29 27,900,000 Efs [psi] - Seating Flange Modulus30 20,000 Sb [psi] - allowable bolt stress at DESIGN temp31 20,000 Sba [psi] - allowable bolt stress at ASSEMBLY temp

32 Geometry Constraints:33 tmin = min(0.75,tn,t) MIN(0.75,0.5,1.5) = 0.50034 tc = max(0.25,0.7*tmin) MAX(0.25,0.7*0.5) = 0.35035 ThroatLeg1 = 0.7*Leg1 0.7*0.5 = 0.35036 ChTL1 = ThroatLeg1 >= tc 0.35 >= 0.35 = Acceptable37 Calculated Dimensions:38 B = Bn+2*Corr 4.5+2*0.125 = 4.75039 varN = (GOD-GID)/2 ~~ Gasket width in contact (5.5-4.5)/2 = 0.50040 b0 = varN / 2 ~~ Gasket seating width 0.5 / 2 = 0.25041 varb =42 0.25043 varG =44 5.00045 ThreadMin =46 0.75047 CheckTrdMin = ThreadMin <= DepthT 0.75 <= 1 = Acceptable48 Bolt Loads: (VIII App 2-5)49 H = 0.785*varG^2*P ~~ end load 0.785*5^2*155.2 = 3,04650 HP = 2*varb*3.14*varG*m*P ~~ contact load 2*0.25*3.14*5*3*155.2 = 3,65551 HD = pi()/4 * A^2 * P ~~ end load PI()/4 * 9^2 * 155.2 = 9,87352 HT = H - HD ~~ face load 3046 - 9873 = -6,827

N4 & N5 - 4" Process Connections

IF(b0>0.25,Sqrt(b0)/2,b0) ~~ Effective seating widthIF(0.25>0.25,SQRT(0.25)/2,0.25) =

IF(b0>0.25,GOD-2*varb,(GOD-GID)/2 + GID)IF(0.25>0.25,5.5-2*0.25,(5.5-4.5)/2 + 4.5) =

0.75*Sf/Sb ~~ UG-43(g)0.75*20000/20000 =

B

A

GC

Shell hT

hD

hG

HTHD

W

HGt

Fig 2-13.2 Modified

tn

Flange ver 4.27 of 21

1 Wm1 = H + HP ~~ bolt load 3046 + 3655 = 6,7012 Wm2 = pi()*varb*varG*gy ~~ seating load PI()*0.25*5*1800 = 7,0693 Am =4 0.3535 RootArea [sq. in] = PVELookup("BoltSizing","Lookup","Root Area",BoltOD) 0.2086 Ab = RootArea*Nbolt 0.208*8 = 1.6647 CheckExcess = Ab>=Am 1.664>=0.353 = Acceptable8 Flange Loads: (App 2-5)9 W [lb] = (Am + Ab)*Sba/2 ~~ seating conditions (0.353 + 1.664)*20000/2 = 20,17410 HG [lb] = Wm1 - H ~~ operating conditions 6701 - 3046 = 3,65511 TBoltLoad [lb] = (W+Wm1)/Nbolt (20174+6701)/8 = 3,35912 Flange Moment Arms: (Table App 2-6 - loose flanges)13 mhD [in] = (varC-A)/2 (7.5-9)/2 = -0.75014 mhT [in] = (varC-(A+varG)/2)/2 (7.5-(9+5)/2)/2 = 0.25015 mhG [in] = (varC-varG)/2 (7.5-5)/2 = 1.25016 Flange Moments: (App 2-6)17 MD [in-lb] = HD * mhD ~~ end pressure 9873 * -0.75 = -7,40518 MT [in-lb] = HT * mhT ~~ face pressure -6827 * 0.25 = -1,70719 MG [in-lb] = HG * mhG ~~ gasket load 3655 * 1.25 = 4,56920 Mo1 [in-lb] = MD+MT+MG ~~ total operating -7405+-1707+4569 = -4,54321 Mo2 [in-lb] = W*(varC-varG)/2 ~~ total seating 20174*(7.5-5)/2 = 25,21822 Graph: App 2-7.1 Value of Y23 K = A/B 9/4.75 = 1.89524 Y = PVELookup("Y","FlangeFactorK",K) 3.20525 Flange Seating Stress: (App 2-7,8)26 STs = Y*ABS(Mo2) / (t^2*B) 3.205*ABS(25218) / (1.5^2*4.75) = 7,56327 CheckSTs = ABS(STs) <= Sfa ABS(7563) <= 20000 = Acceptable28 Flange Operating Stress: (App 2-7,8)29 STo = Y*ABS(Mo1) / (t^2*B) 3.205*ABS(-4543) / (1.5^2*4.75) = 1,36230 CheckSTo = STo <= Sf 1362 <= 20000 = Acceptable31 Flange Flexibility: (App 2-14)32 Jseating =33 0.22934 CheckJSt = ABS(Jseating) <= 1 ABS(0.229) <= 1 = Acceptable35 Joperating =36 -0.04137 CheckJOp = ABS(Joperating) <= 1 ABS(-0.041) <= 1 = Acceptable

Max(Wm1/Sb, Wm2/Sba) ~~ Bolt area requiredMAX(6701/20000, 7069/20000) =

(109.4*Mo2) / (Efs*t^3*ln(K)*0.2)(109.4*25218) / (27900000*1.5^3*LN(1.895)*0.2) =

(109.4*Mo1) / (Efo*t^3*ln(K)*0.2)(109.4*-4543) / (27900000*1.5^3*LN(1.895)*0.2) =

30 Nozzle Reinforcement ver 3.90 UW16(h) <- SavedDesign 15-Apr-10 of 2131 Automatic dh - not hillside22 <- Vessel Automatic Limit Diameter33 <- Description Curved Shell or Head Section34 Shell:35 SA-516 70 <- Shell Material36 20,000 <- Sv, shell allowable stress level, PSI37 1.00 <- E1, efficiency of shell at nozzle39 0.675 <- Vt, shell wall thick, uncorroded, UT removed40 0.413 <- tr, required shell wall thickness int. press.(E=1)41 0.000 <- trE, required shell wall thickness ext. press.(E=1)42 0.125 <- sca, shell corrosion allowance43 0.094 <- tmin16b, Min allowed wall per UG-16(b) 44 Nozzle:45 SA-106B <- Nozzle Material46 17,100 <- Sn, allowable stress level (Sn)47 17,600 <- B, from A = 0.0959048 1.00 <- E, nozzle efficiency 49 155.20 <- P, internal design pressure50 0.0 <- Pa, external design pressure51 17.500 <- Do, outside diameter54 0.750 <- Nt, wall thick, uncorroded55 0.0% <- UTp, undertolerance (%)57 0.000 <- nca, nozzle corrosion allowance58 1.500 <- L, exterior Projection59 0.750 <- Ip, interior projection61 Reinforcing:63 SA-516 70 <- Reinforcing plate material At least one telltale hole (max. size NPS 1/4 tap) in repad required65 20,000 <- Sp, allowable stress level66 21.500 <- Dp, outside diameter69 0.500 <- te, reinforcement thick71 0.500 <- Leg41, size of weld fillet72 0.375 <- Leg42, size of weld fillet73 0.375 <- Leg43, size of weld fillet75 0.675 <- LegG, depth of groove87 Variables:88 UT = Nt*UTp = 0.75 * 0 Undertolerance UT = 0.00090 Rn = Do/2 - (Nt-nca) + UT = 17.5/2 - (0.75-0) + 0 Effective Radius Rn = 8.00091 Dp = Min(2*d,DpEntered) = Min(2*16,21.5) Effective Reinforcing Dp = 21.50095 t = Vt-sca = 0.675 - 0.125 Effective Shell Thickness t = 0.55096 ti = Nt-2*nca = 0.75 - 2 * 0 Nom Thick of Int. Proj. ti = 0.75097 te = teEntered Effective Reinf. Thick. te = 0.500101 tn = Nt-nca = 0.75-0 Avail. Nozzle Thick. No UT tn = 0.750102 d = Do-2*tn = 17.5 - 2*0.75 Opening Dia. d = 16.000108 fr1 = MIN(Sn/Sv,1) = MIN(17100/20000, 1) fr1 = 0.855111 fr2 = MIN(Sn/Sv,1) = MIN(17100/20000, 1) fr2 = 0.855114 fr3 = MIN(Sn/Sv,Sp/Sv,1) = MIN(17100/20000, 20000/20000,1) fr3 = 0.855115 fr4 = MIN(Sp/Sv,1) = MIN(20000/20000,1) fr4 = 1.000126 h = MIN(Ip-sca,2.5*t,2.5*ti) = MIN(0.75-0.125,2.5*0.55,2.5*0.75) h = 0.625131 tcLeg43 = Min(0.25,0.7*Min(0.75,t,tn)) = Min(0.25,0.7*Min(0.75,0.55,0.75)) tc43 = 0.250132 F = 1.000 F = 1.000141 Pipe Required Wall Thickness - trn from internal, trnE from external pressure143 trn = (P*Rn)/(Sn*E - 0.6*P) <= tn-UT = (155.2*8)/(17100*1 - 0.6*155.2) trn = 0.073 Acceptable145 trnR = (P*Rn)/(Sn*1 - 0.6*P) = (155.2*8)/(17100*1 - 0.6*155.2) E=1 trnR = 0.073146 trnE = (3*Do*Pa)/(4*B) <= tn-ut trnE = 0.000 Acceptable148 Geometry Constraints:151 0.7*Leg41 >= 0.7*min(0.75,te,tn) 0.7*0.5 >= 0.350 >= 0.350 Acceptable155 0.7*Leg42 >= 0.5*Min(0.75,te,t) 0.7*0.375 >= 0.263 >= 0.250 Acceptable158 0.7*Leg43-nca >= tc43 0.7*0.375-0 >= 0.25 0.263 >= 0.250 Acceptable171

0.5*Min(0.75,0.5,0.55)

Sample 4M1 - 12" x 16" Manway on Head c/w 3" x 3/4" Ring

= (3*17.5*0)/(4*17600)

0.7*Min(0.75,0.5,0.75)

www.pveng.com

Dp

te

Shell

Noz

zle

Ring

g

UW-16.1 (h)

Leg41

Leg42

tWeld to connectto reinforcing pad

Do

Proj

Leg43

Vt

Nt


175 Sample 4 M1 - 12" x 16" Manway on Head c/w 3" x 3/4" Ring 15-Apr-10 of 21207 Area Replacement: Fig UG-37.1 Pressure From: Internal External208 A = 1.0*d*tr*F + 2*tn*tr*F*(1-fr1) A Required (internal) = 6.690209 = 1.0*16*0.413*1 + 2*0.75*0.413*1*(1-0.855)212 Ae = 0.5*(d*trE*1 + 2*tn*trE*1*(1-fr1)) = 0.5*(16*0*1 + 2*0.75*0*1*(1-0.855)) A Required (external) = 0.000215 A1 = max(d, 2*(t+tn)) * (E1*t-F*tr)-2*tn*(E1*t-F*tr)*(1-fr1) A1 = 2.170216 = 219 A1e = max(d, 2*(t+tn)) * (E1*t-F*trE)-2*tn*(E1*t-F*trE)*(1-fr1) A1e = 8.680220 = 223 A2 = min((tn-trnR)*fr2*min(5*t,2*L) , (tn-trnR)*(Min(2.5*tn+te,L)*fr2*2) A2 = 1.592224 = 228 A2e = min((tn-trnE)*fr2*Min(5*t,2*L) , 2*(tn-trnE)*Min(2.5*tn+te,L)*fr2) A2e = 1.763229 = 233 A3 = Min(5*t*ti*fr2, 5*ti*ti*fr2, 2*h*ti*fr2) A3 = 0.802 0.802234 = Min(5*0.55*0.75*0.855, 5*0.75*0.75*0.855, 2*0.625*0.75*0.855)236 A5 = (Dp - d - 2tn)te*fr4 =(21.5 - 16 - 2*0.75)*0.5*1 A5 = 2.000 2.000241 A41 = Leg41^2*fr3 A41 = 0.5^2*0.855 A41 = 0.214 0.214244 A42 = Leg42^2*fr4 A42 = 0.375^2*1 A42 = 0.141 0.141247 A43 = (Leg43-nca)^2*fr2 = (0.375-0)^2*0.855 A43 = 0.120 0.120249 Actual Area = 7.038 13.720250 Acceptable Actual-Required = 0.348 13.720256 Internal Weld Load: (UG-41)257 WmaxI = (A - A1 + 2*Tn*Fr1*(E1*t-F*tr))*Sv, min0 = (6.69 - 2.17 + 2*0.75*0.855*(1*0.55-1*0.413))*20000 WmaxI = 93,927260

261 W1-1 = MIN((A2 + A5 + A41 + A42)*Sv,WmaxI) = MIN((1.592 + 2 + 0.214 + 0.141)*20000,93927) W1-1 = 78,923262 W2-2 = Min((A2 + A3 + A41 + A43 + 2*Tn*t*frone)*Sv,WmaxI) = Min((1.592 + 0.802 + 0.214 + 0.12 + 2*0.75*0.55*0.855)*20000,93927)W2-2 = 68,654266 W3-3 = Min((A2 + A3 + A5 + A41 + A42 + A43 + 2*Tn*t*fr1)*Sv,WmaxI) Weld load W3-3 = 93,927267 = Min((1.592 + 0.802 + 2 + 0.214 + 0.141 + 0.12 + 2*0.75*0.55*0.855)*20000,93927)271

272 External Weld Load: (UG-41)273 WmaxE = (Ae - A1e + 2*Tn*Fr1*(E1*t-F*tr))*Sv, min0 = (0 - 8.68 + 2*0.75*0.855*(1*0.55-1*0.413))*20000 WmaxE = 0276

277 W1-1 = MIN((A2e + A5 + A41 + A42)*Sv,WmaxE) Weld load W1-1e = 0278 = MIN((1.763 + 2 + 0.214 + 0.141)*20000,0)279 W2-2 = Min((A2e + A3 + A41 + A43 + 2*Tn*t*frone)*Sv,WmaxE) = Min((1.763 + 0.802 + 0.214 + 0.12 + 2*0.75*0.55*0.855)*20000,0)W2-2e = 0283 W3-3 = Min((A2e + A3 + A5 + A41 + A42 + A43 + 2*Tn*t*fr1)*Sv,WmaxE) Weld load W3-3e = 0284 = Min((1.763 + 0.802 + 2 + 0.214 + 0.141 + 0.12 + 2*0.75*0.55*0.855)*20000,0)288

294 Component Strength (UG-45(c), UW-15(c))295 A2 shear = PI()/2*(Do-tn)*tn*Sn*0.7 A2s = 236,206296 g tension = PI()/2*Do*LegG*Min(Sv,Sn)*0.74 gt = 234,795297 A41 shear = PI()/2*Do*Leg41*Min(Sn,Sp)*0.49 A41s = 115,165301 A42 shear = PI()/2*DP*Leg42*Min(Sv,Sp)*0.49 A42s = 124,113308

309 Failure mode along strength path (Greater than Weld Load, see App L-7) 312 S1-1 = A42s + A2s >= W1-1 Acceptable S1-1 = 360,318313 = 124113 + 236206 >= 78923320 S2-2 = A41s + gt >= W2-2 Acceptable S2-2 = 349,960321 = 115165 + 234795 >= 68654326 S3-3 = gt + A42s >= W3-3 Acceptable S3-3 = 358,908327 = 234795 + 124113 >= 93927331 Tstd = Standard pipe wall thickness from chart Tstd = 0.375332 Swre = tr * Pa / P = 0.413 * 0 / 155.197 Req. Exterior pressure Swre = 0.000333 Nact = Nt * (1-UTp) = 0.75 * (1-0) Actual Wall Thick. Nact = 0.750334 Tt = 0.8/Nth = 0.8/0 Ug-31(c)(2) threads Tt = 0.000335 UG-45 Acceptable336 UG45 = Max(UG45a, UG45b) <= Nact = Max(0.073, 0.328) <= 0.75 UG45 = 0.328337 UG45a = Max(trn,trnE) + Nca + Tt = Max(0.073,0) + 0 + 0 UG45a = 0.073338 UG45b = Min(UG45b3,UG45b4) 0.537513 UG45b = 0.328339 UG45b1 = Max(tr + Sca, tmin16b + Sca) = Max(0.413 + 0.125, 0.094 + 0.125) UG45b1 = 0.538340 UG45b2 = Max(Swre + Sca,tmin16b + Sca) = Max(0 + 0.125,0.094 + 0.125) UG45b2 = 341 UG45b3 = Max(UG45b1,UG45b2) = Max(0.538,) UG45b3 = 0.538342 UG45b4 = Tstd*0.875 + Nca = 0.375*0.875 + 0 UG45b4 = 0.328

= Min(0.538, 0.328)

= PI()/2*21.5*0.375*Min(20000,20000)*0.49= PI()/2*17.5*0.5*Min(17100,20000)*0.49

min((0.75-0)*0.855*Min(5*0.55,2*1.5) , 2*(0.75-0)*Min(2.5*0.75+0.5,1.5)*0.855)

= PI()/2*(17.5-0.75)*0.75*17100*0.7= PI()/2*17.5*0.675*Min(20000,17100)*0.74

max(16,2*(0.55+0.75))* (1*0.55-1*0.413)-2*0.75*(1*0.55-1*0.413)*(1-0.855)

max(16,2*(0.55+0.75))* (1*0.55-1*0)-2*0.75*(1*0.55-1*0)*(1-0.855)

min((0.75-0.073)*0.855*min(5*0.55,2*1.5) , (0.75-0.073)*(Min(2.5*0.75+0.5,2*1.5)*0.855*2)

30 Nozzle Reinforcement ver 3.90 UW16(c)mod <- SavedDesign 15-Apr-10 of 2131 Automatic dh - not hillside22 <- Vessel Automatic Limit Diameter33 <- Description Curved Shell or Head Section34 Shell:35 SA-516 70 <- Shell Material36 20,000 <- Sv, shell allowable stress level, PSI37 1.00 <- E1, efficiency of shell at nozzle38 59.00 <- Ds, Shell ID39 0.500 <- Vt, shell wall thick, uncorroded, UT removed40 0.231 <- tr, required shell wall thickness int. press.(E=1)41 0.000 <- trE, required shell wall thickness ext. press.(E=1)42 0.125 <- sca, shell corrosion allowance43 0.094 <- tmin16b, Min allowed wall per UG-16(b) 44 Nozzle:45 SA-106B <- Nozzle Material46 17,100 <- Sn, allowable stress level (Sn)47 17,600 <- B, from A = 0.0959048 1.00 <- E, nozzle efficiency 49 155.20 <- P, internal design pressure50 0.0 <- Pa, external design pressure51 17.500 <- Do, outside diameter54 0.750 <- Nt, wall thick, uncorroded55 0.0% <- UTp, undertolerance (%)57 0.125 <- nca, nozzle corrosion allowance58 2.625 <- L, exterior Projection59 0.875 <- Ip, interior projection61 Reinforcing:71 0.375 <- Leg41, size of weld fillet73 0.625 <- Leg43, size of weld fillet74 1.000 <- F87 Variables:88 UT = Nt*UTp = 0.75 * 0 Undertolerance UT = 0.00090 Rn = Do/2 - (Nt-nca) + UT = 17.5/2 - (0.75-0.125) + 0 Effective Radius Rn = 8.12595 t = Vt-sca = 0.5 - 0.125 Effective Shell Thickness t = 0.37596 ti = Nt-2*nca = 0.75 - 2 * 0.125 Nom Thick of Int. Proj. ti = 0.500101 tn = Nt-nca = 0.75-0.125 Avail. Nozzle Thick. No UT tn = 0.625102 d = Do-2*tn = 17.5 - 2*0.625 Opening Dia. d = 16.250108 fr1 = MIN(Sn/Sv,1) = MIN(17100/20000, 1) fr1 = 0.855111 fr2 = MIN(Sn/Sv,1) = MIN(17100/20000, 1) fr2 = 0.855126 h = MIN(Ip-sca,2.5*t,2.5*ti) = MIN(0.875-0.125,2.5*0.375,2.5*0.5) h = 0.750127 tcLeg41 = Min(0.25,0.7*Min(0.75,tn,t)) = Min(0.25,0.7*Min(0.75,0.625,0.375)) tc41 = 0.250131 tcLeg43 = Min(0.25,0.7*Min(0.75,t,tn)) = Min(0.25,0.7*Min(0.75,0.375,0.625)) tc43 = 0.250133 F = Min(Fenterered, 1) F = 1.000141 Pipe Required Wall Thickness - trn from internal, trnE from external pressure142 LDo = L/Do LDo = 0.150 Dot = Do/trnE Dot = 0.000143 trn = (P*Rn)/(Sn*E - 0.6*P) <= tn-UT = (155.2*8.125)/(17100*1 - 0.6*155.2) trn = 0.074 Acceptable145 trnR = (P*Rn)/(Sn*1 - 0.6*P) = (155.2*8.125)/(17100*1 - 0.6*155.2) E=1 trnR = 0.074146 trnE = (3*Do*Pa)/(4*B) <= tn-ut trnE = 0.000 Acceptable148 Geometry Constraints:150 0.7*Leg41 >= tc41 0.7*0.375 >= 0.25 0.263 >= 0.250 Acceptable158 0.7*Leg43-nca >= tc43 0.7*0.625-0.125 >= 0.25 0.313 >= 0.250 Acceptable171

180 Appendix 1-7 Necessary Check181 when Ds>60,if(2*Rn<=Ds/3,if(2*Rn<=40, "App. 1-7 calculations not required","App. 1-7 calculations required"),"App. 1-7 calculations required")182 when Ds<=60,if(2*Rn<Ds/2,if(2*Rn<20,"App. 1-7 calculations not required","App. 1-7 calculations required"),"App. 1-7 calculations required")183 App. 1-7 calculations not required207 Area Replacement: Fig UG-37.1 Pressure From: Internal External208 A = 1.0*d*tr*F + 2*tn*tr*F*(1-fr1) A Required (internal) = 3.795209 = 1.0*16.25*0.231*1 + 2*0.625*0.231*1*(1-0.855)212 Ae = 0.5*(d*trE*1 + 2*tn*trE*1*(1-fr1)) = 0.5*(16.25*0*1 + 2*0.625*0*1*(1-0.855)) A Required (external) = 0.000215 A1 = max(d, 2*(t+tn)) * (E1*t-F*tr)-2*tn*(E1*t-F*tr)*(1-fr1) A1 = 2.315216 = 219 A1e = max(d, 2*(t+tn)) * (E1*t-F*trE)-2*tn*(E1*t-F*trE)*(1-fr1) A1e = 6.026220 = 225 A2 = min((tn-trnR)*fr2*Min(5*t,2*L) , (tn-trnR)*fr2*Min(5*tn,2*L)) A2 = 0.883226 = 230 A2e = min((tn-trnE)*fr2*Min(5*t,2*L) , (tn-trnE)*fr2*Min(5*tn,2*L)) A2e = 1.002231 = 233 A3 = Min(5*t*ti*fr2, 5*ti*ti*fr2, 2*h*ti*fr2) A3 = 0.641 0.641234 = Min(5*0.375*0.5*0.855, 5*0.5*0.5*0.855, 2*0.75*0.5*0.855)240 A41 = Leg41^2*fr2 = 0.375^2*0.855 A41 = 0.120 0.120247 A43 = (Leg43-nca)^2*fr2 = (0.625-0.125)^2*0.855 A43 = 0.214 0.214249 Actual Area = 4.173 8.003250 Acceptable Actual-Required = 0.378 8.003330

331 Tstd = Standard pipe wall thickness from chart Tstd = 0.375332 Swre = tr * Pa / P = 0.231 * 0 / 155.197 Req. Exterior pressure Swre = 0.000333 Nact = Nt * (1-UTp) = 0.75 * (1-0) Actual Wall Thick. Nact = 0.750334 Tt = 0.8/Nth = 0.8/0 Ug-31(c)(2) threads Tt = 0.000335 UG-45 Acceptable336 UG45 = Max(UG45a, UG45b) <= Nact = Max(0.199, 0.356) <= 0.75 UG45 = 0.356337 UG45a = Max(trn,trnE) + Nca + Tt = Max(0.074,0) + 0.125 + 0 UG45a = 0.199338 UG45b = Min(UG45b3,UG45b4) 0.355961 UG45b = 0.356339 UG45b1 = Max(tr + Sca, tmin16b + Sca) = Max(0.231 + 0.125, 0.094 + 0.125) UG45b1 = 0.356340 UG45b2 = Max(Swre + Sca,tmin16b + Sca) = Max(0 + 0.125,0.094 + 0.125) UG45b2 = 341 UG45b3 = Max(UG45b1,UG45b2) = Max(0.356,) UG45b3 = 0.356342 UG45b4 = Tstd*0.875 + Nca = 0.375*0.875 + 0.125 UG45b4 = 0.453


M2 - 12" x 16" Manway c/w 4 x 3/4" Ring on Shell

= (3*17.5*0)/(4*17600)

max(16.25,2*(0.375+0.625))* (1*0.375-1*0.231)-2*0.625*(1*0.375-1*0.231)*(1-0.855)

max(16.25,2*(0.375+0.625))* (1*0.375-1*0)-2*0.625*(1*0.375-1*0)*(1-0.855)

min((0.625-0.074)*0.855*Min(5*0.375,2*2.625) , (0.625-0.074)*0.855*Min(5*0.625,2*2.625))

min((0.625-0)*0.855*Min(5*0.375,2*2.625) , (0.625-0)*0.855*Min(5*0.625,2*2.625))

= Min(0.356, 0.453)

UW-16.1 (c) modified

Leg41

OD Nozzle

Nt

Leg41

Leg43

Leg43

Proj

Vt

Noz

zle

Shell

FullPenn.t


1 Vessel Weight and Volume ver 4.03 of 212 Description3 Volume:4 2 nhead - Number of heads?5 1.00 SG - Fluid Specific Gravity6 12.00 VE [ft3] - Volume of Each Head7 190.00 VS [ft3] - Volume of Shell

8 Construction:9 789 Wh [lb] - Weight of Each Head10 3181 Ws [lb] - Weight of Shell11 650 Wm [lb] - Misc Weight

12 Calculations:13 V [ft3] = VE*nhead + VS total volume 12*2 + 190 = 214.0014 V2 [Imp. Gallons] = V*6.229 214*6.229 = 1,333.0115 V3 [US Gallons] = V*7.4805 214*7.4805 = 1,600.8316 Wf [lb] = 62.37*SG*V fluid weight 62.37*1*214 = 13,347.1817 WC [lb] = Wh*nhead + Ws + Wm construction weight 789*2 + 3181 + 650 = 5,409.8318 WT [lb] = WC + Wf total weight 5409.83 + 13347.18 = 18,757.01

Sample 4

1 Lifting Lugs ver 4.01 of 212 Description3 Dimensions:4 5,410 Load [lb] - vessel weight empty5 8.000 W [in] - width6 0.500 Thick [in] - lug thickness7 2.500 H [in] - hole height8 1.500 Dia [in] - hole diameter9 2.500 OR [in] - outside radius10 0.250 Weld [in] - leg size

11 SA-516 70 Material12 20,000 SA [psi] - allowed stress in tension13 All of load assumed carried by one lug14 All load cases analyzed independently15 Never load lug perpendicular to face16 Contour lug to fit vessel17 Do not move or support vessel with this lug when full or pressurized18 SB = UG-34(b) Max Bending Stress, SS = IID Tbl 1A(d) Max Shear Stress, SSw = UW-15(c) UW-15 Max Weld Shear

19 SB [psi] = SA * 1.5 20000 * 1.5 = 30,00020 SS [psi] = SA * 0.8 20000 * 0.8 = 16,00021 SSw [psi] = SA * 0.49 20000 * 0.49 = 9,80022 Tensile Stress (case 1):23 A1 [in2] = Thick*(OR-Dia/2) 0.5*(2.5-1.5/2) = 0.87524 A [in2] = A1 * 2 0.875 * 2 = 1.75025 Stress [psi] = Load / A 5410 / 1.75 = 3,09126 CheckTenStr = Stress <= SA 3091 <= 20000 = Acceptable27 Pin Bearing Stress (case 1 and 2):28 Area [in2] = Dia * Thick 1.5 * 0.5 = 0.75029 PinStress [psi] = Load / Area 5410 / 0.75 = 7,21330 CheckPinStr = PinStress <= (1.6 * SA) 7213 <= (1.6 * 20000) = Acceptable31 Bending Stress (case 2):32 Moment [in-lb] = Load * H 5410 * 2.5 = 13,52533 I [in4] = Thick * W^3 / 12 0.5 * 8^3 / 12 = 21.33334 c [in] = W/2 8/2 = 4.00035 BendStress [psi] = Moment*c/I 13525*4/21.333 = 2,53636 CheckBendStr = BendStress <= SB 2536 <= 30000 = Acceptable37 Shear Stress (case 2):38 ShrArea [in2] = W*Thick 8*0.5 = 4.00039 ShrStress [psi] = Load/ShrArea 5410/4 = 1,35240 CheckShStr = ShrStress <= SS 1352 <= 16000 = Acceptable41 Weld Stress (case 1):42 Circ [in] = W*2+Thick*2+Weld*4 8*2+0.5*2+0.25*4 = 18.00043 WeldArea [in2] = Circ * Weld 18 * 0.25 = 4.50044 WeldStress [psi] = Load / WeldArea 5410 / 4.5 = 1,20245 CheckWldStr = WeldStress <= SSw 1202 <= 9800 = Acceptable46 Weld Stress (case 2):47 Moment2 [in-lb] = Load * H 5410 * 2.5 = 13,525

48I2 [in4] = (Thick +2*Weld)* (W+2*Weld)^3 / 12 - I

(0.5 +2*0.25)* (8+2*0.25)^3 / 12 - 21.333 = 29.84449 c2 [in] = W/2 + Weld 8/2 + 0.25 = 4.25050 WldStress2 [psi] = Moment2*c2/I2 13525*4.25/29.844 = 1,92651 CheckWldStr2 = WldStress2 <= SSw 1926 <= 9800 = Acceptable

Sample Vessel 4 Liftng Lugs

H

Load Case 1

Load Case 2

OR

Dia

WeldW

15 Vessel On Beams Ver 2.24 15-Apr-10 of 2116

17 <- Vessel www.pveng.com IBC-200018

19 Vessel Dimensions (Inch and Lbs):20 162.500 <- H, height21 90.000 <- L, center of gravity22 27.000 <- ls, leg free length23 60.000 <- Do, shell outside diameter24 60.500 <- ds, leg pitch diameter25 0.500 <- t, shell corroded thickness26 0.250 <- ws - leg weld size27 18.000 <- lw - length of leg to shell weld28 35.000 <- lwf - length of weld on foot29 5,410 <- W, Weight lbs30 155.2 <- Pr, Pressure31

32 Site Specific Seismic Information per IBC-2000:35 1.000 <- I, occupation importance factor38 E <- Site Class39 0.750 <- Ss, Acceleration at Short Periods40 0.300 <- S1, Acceleration at a period of one second41 1.200 <- Fa, Site Coefficient42 2.800 <- Fv, Site Coefficient43 2.000 <- R, Response Modification Factor51

52 Leg Supports:53 W6x15 <- Structural Description54 4 <- n, number of legs55 29.100 <- Ix, for one leg56 9.320 <- Iy, for one leg57 1.460 <- fFactor, Least radius of Gyration58 4.430 <- A, Leg Cross Sectional Area59 6.000 <- 2cx, Beam Depth 60 6.000 <- 2cy, Beam Width61 0.800 <- K1, Leg Anchor Factor62

63 Material Properties:64 17,100 <- maximum leg bending stress (Sb)65 20,000 <- maximum shell stress (Sa)66

67 Attachment Dimensions:68 6.000 <- 2C1, Width of rectangular loading69 6.000 <- 2C2, Length of rectangular loading70

71 Static Deflection72 E = 30,000,00073 bc = 12.0 leg boundary condition based on fixed or loose leg74 y = (2*W*ls^3)/(bc*n*E*(Ix + Iy)) y = 0.00475 = (2*5409.828*27^3)/(12*4*30000000*(29.1 + 9.32))76

77 Period of Vibration78 g = 38679 T = 2*pi*sqrt(y/g) =2 * 3.14 * sqrt(0/386) T = 0.02080

84 Base Shear94 Sms = Fa*Ss = 1.2*0.75 Sms = 0.995 Sm1 = Fv*S1 = 2.8*0.3 Sm1 = 0.8496 Sds = 2/3*Sms = 2/3*0.9 Sds = 0.60097 Sd1 = 2/3*Sm1 = 2/3*0.84 Sd1 = 0.56098 Cs = Sds/(R/I) = 0.6/(2/1) Cs = 0.30099 CsMAX = Sd1/(T*R/I) = 0.56/(0.02*2/1) CsMAX = 14.112100 CsMIN = 0.044*Sds*I = 0.044*0.6*1 CsMIN = 0.026101 Csfinal = if(cs<=csmax, if(cs>csmin, cs, csmin), csmax) Csfinal = 0.300102 V = Csfinal*W = 0.3*5409.828 V = 1623112

Sample 4


115 Sample 4 Vessel On Beams 15-Apr-10 of 21117 Horizontal Seismic Force at Top of Vessel118 Ftmax = 0.25*V = 0.25 * 1623 Ftmax = 406119 Ftp = 0.07 * T * V = 0.07 * 0.02 * 1623 Ftp = 2.25120 Ft = if (T < 0.7, 0, min(0.07*T*V, Ftmax)) Ft = 0121

122 Horizontal Seismic Force at cg123 Fh = V - Ft = 1623 - 0 Fh = 1,623124

125 Vertical force at cg126 Fv = W Fv = 5,410127

128 Overturning Moment at Base129 Mb = L*Fh + H*Ft = 90 * 1623 + 162.5 * 0 Mb = 146,065130

131 Overturning Moment at Bottom Tangent Line132 Mt = (L-ls)*Fh + (H-ls)*Ft = (90 - 27) * 1623 + (162.5 - 27) * 0 Mt = 102,246133

134 Maximum eccentric load135 f1 = Fv/n + 4*Mto/(n*Do) = 5409.82819109538/4 + 4*102246/(4 * 60) f1 = 3,057136

137 Axial Load138 f2 = Fv/n + 4*Mb/(n*ds) = 5409.82819109538/4 + 4*146065/(4 * 60.5) f2 = 3,767139

140 Leg Loads141 f3x = 0.5*V*Ix/(Ix+Iy) =0.5* 1623*29.1 /( 29.1+9.32) f3x = 615142 f3y = 0.5*V*Iy/(Ix+Iy) =0.5* 1623*9.32 /( 29.1+9.32) f3y = 197143

144 Leg Bending Moments145 e = (ds-Do)/2 =(60.5-60)/2 e = 0.25146 Mx = f1*e + f3x*ls =3057*0.25 + 615*27 Mx = 17,359147 My = f1*e + f3y*ls =3057*0.25 + 197*27 My = 6,079148

149 Leg Bending Stress150 Sbmax = Sb * 1.25 =17100 * 1.25 Sbmax = 21,375151 fx = Mx*cx/Ix =17359 * 3 / 29.1 Acceptable fx = 1,790152 fy = My*cy/Iy =6079 * 3 / 9.32 Acceptable fy = 1,957153

154 Leg axial stress155 K1*ls/fFactor = =0.8 * 27 / 1.46 K1*ls/fFactor = 14.795156 Fa max = AISC code lookup based on K1*ls/r Fa max = 25,675157 fa = f2/A =3767 / 4.43 Acceptable fa = 850158

159 Maximum Euler Stress160 Fe = 12*pi^2*E/(23*(K1*L/r)^2)161 = 12*pi^2*30000000/(23*14.795^2) Fe = 705,785162

163 Combined Stress164 Fc1 = fa/Famax + 0.85*fx/((1-fa/Fe)*Sbmax) Acceptable165 = 850/25675 + 0.85*1790/((1-850/705785)*21375) Fc1 = 0.10166 Fc2 = fa/Famax + 0.85*fy/((1-fa/Fe)*Sbmax) Acceptable167 = 850/25675 + 0.85*1957/((1-850/705785)*21375) Fc2 = 0.11168

171 Sample 4 Vessel On Beams 15-Apr-10 of 21172

173 Beam to Shell Attachment Stresses174

175 Beam Dimensions176 cx = 2cx/2 cx = 3.000177 cy = 2cy/2 cy = 3.000178

179180

181 C dimensions for weld stress182 weld area = ws*lw wa = 4.500183 wcx = lw/2 wcx = 9.000184 wcz = cy + ws wcz = 3.250185 wcy = sqrt(wcx^2 + wcy^2) = sqrt(9^2 + 9.569^2) wcy = 9.569186

187 Shear Force Distribution188 Vx = (V*Ix)/((n/2)*(Ix+Iy)) = (1622.948*29.1)/((4/2)*(29.1+9.32)) Vx = 615189 Vy = (V*Iy)/((n/2)*(Ix+Iy)) = (1622.948*9.32)/((4/2)*(29.1+9.32)) Vy = 197190 Vg = W/n gravity = 5409.828/4 Vg = 1,352191

192 Weld Moments of Inertias193 Iwx = (ws*lw^3/12)*2 = (0.25*18^3/12)*2 Iwx = 243.0194 Iwz = (lw*ws^3/12 + wa*(cy+ws/2)^2)*2 Iwz = 87.9195 = (18*0.25^3/12 + 4.5*(3+0.25/2)^2)*2196 Iwy = Iwx + Iwz = 243 + 88 Iwy = 330.9197

198 Weld Moments199 Mx = Vx*(ls+lw/2) + Vg*(ds-Do)/2 Mx = 22,465200 = 615*(27+18/2) + 1352.457*(60.5-60)/2201 My1 = Vy*(ls+lw/2) = 197*(27+18/2) My1 = 7,087202 Mz = Vy*(ds-Do)/2 = 197*(60.5-60)/2 Mz = 49203

204 Weld Stresses205 Sx = Mx*wcx/Iwx Bending = 17359*9/243 Sx = 643206 Sy = My1*wcy/Iwy Twisting = 7087*9.569/330.9 Sy = 205207 Sz = Mz*wcz/Iwz Torision = 49*3.25/87.9 Sz = 2208 Sg = Vg/(wa*2) Gravity = 1352/(4.5*2) Sg = 150209

210 Stress Limits and Ratios211 Slim = min(Sb,Sa)*0.49 = min(17100,20000)*0.49 Slim = 8,379212

213 SxR = Sx/Slim = 643/8379 SxR = 0.077214 SyR = Sy/Slim = 205/8379 SyR = 0.024215 SzR = Sz/Slim = 2/8379 SzR = 0.000216 SgR = Sg/Slim = 150/8379 SgR = 0.018217 Acceptable total (<1) 0.119218 Foot Plate Attachment Stresses219 waf = ws*lwf weld area in foot = 0.25*35 waf = 8.750220 Vv = V/n = 1623/4 Vv = 406221

222 Sv = Vv/waf = 406/8.75 Sv = 46223 Sgf = Vg/waf = 1352.457/8.75 Sgf = 155224

225 SvRf = Sv/Slim = 46/8379 SvRf = 0.006226 SgRf = Sgf/Slim = 154.567/8379 SgRf = 0.018227 Acceptable total (<1) 0.024

231 15-Apr-10 of 21

232 WRC 107 - shell local stress at support233

234 Loads (psi and lb)235 614.6 <- P, Axial Load (=vx)236 3,766.8 <- VL, Longitudinal load(=f2)237 0.0 <- Vc, Circumferential load238 6,079.1 <- ML, Moment (=My)239 0.0 <- Mc, Moment240 0.0 <- MT, Torisional241

242 Parameters243 MaxSPm = Sa for Pm stresses Pm - primary membrance stress MaxSPm = 20,000244 MaxSPmb = 1.5*Sa for Pm + Pb stresses Pb - primary bending stress MaxSPmb = 30,000245 MaxSPmbQ = 1.5*Sa for Pm + Pb + Q stresses Q - secondary stress MaxSPmbQ = 30,000246 Ri = (Do-2*T)/2 Ri = 29.5247 Rm = (Do-T)/2 Rm = 29.75248 r = Rm/T = 29.75/0.5 r = 59.50249 Beta1 = 2C1/2/Rm = 6/2/29.75 Beta1 = 0.101250 Beta2 = 2C2/2/Rm = 6/2/29.75 Beta2 = 0.101280 SL = (Ri-0.4*T)*Pr/(2*T) = (29.5-0.4*0.5)*155.197/(2*0.5) SL = 4,547281 Sc = (Ri+0.6*T)*Pr/T = (29.5+0.6*0.5)*155.197/0.5 Sc = 9,250282 Stress concentration factors Kb = 1 Kn = 1283 Shell Combined Stresses:284 Lookup A Curve A Value A Value Equation Cat Au AL Bu BL Cu CL Du DL285 Pressure Stress VIII-1 Code 4C 3C SC Pm 9250 9250 9250 9250 9250 9250 9250 9250286 No/(P/Rm) 3C or 4C 9.80981 7.99937 Kn*A*P/(Rm*T) Pm -405 -405 -405 -405 -331 -331 -331 -331287 Mo/P 1C or 2C-1 0.10736 0.07214 Kb*A*6*P/T^2 Pb -1064 1064 -1064 1064 -1584 1584 -1584 1584288 No/(Mc/(Rm^2*beta)) 3A 2.00349 Kn*A*Mc/(Rm^2*beta*T) Pm 0 0 0 0289 Mo/(Mc/(Rm*beta)) 1A 0.08976 Kb*A*6*Mc/(Rm*beta*T^2) Q 0 0 0 0290 No/(ML/(Rm^2*beta)) 3B 6.62238 Kn*A*ML/(Rm^2*beta*T) Pm -902 -902 902 902291 Mo/(ML/(Rm*beta)) 1B or 1B-1 0.04054 Kb*A*6*ML/(Rm*beta*T^2) Q -1937 1937 1937 -1937292 Pm So 7942 7942 9747 9747 8919 8919 8919 8919293 Pm+Pb So 6878 9006 8682 10811 7336 10503 7336 10503294 Pm+Pb+Q So 4941 10943 10619 8874 7336 10503 7336 10503295 Pressure Stress VIII-1 Code SL Pm 4547 4547 4547 4547 4547 4547 4547 4547296 Nx/(P/Rm) 3C or 4C 9.80981 7.99937 Kn*A*P/(Rm*T) Pm -331 -331 -331 -331 -405 -405 -405 -405297 Mx/P 1C-1 or 2C 0.07151 0.10957 Kb*A*6*P/T^2 Pb -1616 1616 -1616 1616 -1055 1055 -1055 1055298 Nx/(Mc/(Rm^2*beta)) 4A 3.02513 Kn*A*Mc/(Rm^2*beta*T) Pm 0 0 0 0299 Mx/(Mc/(Rm*beta)) 2A 0.04374 Kb*A*6*Mc/(Rm*beta*T^2) Q 0 0 0 0300 Nx/(ML/(Rm^2*beta)) 4B 1.96743 Kn*A*ML/(Rm^2*beta*T) Pm -268 -268 268 268301 Mx/(ML/(Rm*beta)) 2B or 2B-1 0.05817 Kb*A*6*ML/(Rm*beta*T^2) Q -2695 2695 2695 -2695302 Pm Sx 3949 3949 4485 4485 4142 4142 4142 4142303 Pm+Pb Sx 2332 5565 2869 6101 3087 5197 3087 5197304 Pm+Pb+Q Sx -363 8260 5564 3406 3087 5197 3087 5197305 Shear VL VL/(Pi*sqrt(c1*c2)*T) -799 -799 799 799306 Shear VC VC/(Pi*sqrt(c1*c2)*T) 0 0 0 0307 Total Shear Sum of shears Txo 0 0 0 0 -799 -799 799 799308 S1m 7,942 7,942 9,747 9,747 9,049 9,049 9,049 9,049309 S2m 3,949 3,949 4,485 4,485 4,012 4,012 4,012 4,012310 S12 3,994 3,994 5,262 5,262 5,038 5,038 5,038 5,038311 S23 3,949 3,949 4,485 4,485 4,012 4,012 4,012 4,012312 S31 7,942 7,942 9,747 9,747 9,049 9,049 9,049 9,049313 Sm<= MaxSPmb Acceptable 7,942 7,942 9,747 9,747 9,049 9,049 9,049 9,049314 S1m+b 6,878 9,006 8,682 10,811 7,481 10,621 7,481 10,621315 S2m+b 2,332 5,565 2,869 6,101 2,942 5,079 2,942 5,079316 S12 4,546 3,441 5,814 4,710 4,539 5,542 4,539 5,542317 S23 2,332 5,565 2,869 6,101 2,942 5,079 2,942 5,079318 S31 6,878 9,006 8,682 10,811 7,481 10,621 7,481 10,621319 Smb<= MaxSPmb Acceptable 6,878 9,006 8,682 10,811 7,481 10,621 7,481 10,621320 S1m+b+Q 4,941 10,943 10,619 8,874 7,481 10,621 7,481 10,621321 S2m+b+Q -363 8,260 5,564 3,406 2,942 5,079 2,942 5,079322 S12 5,304 2,683 5,056 5,468 4,539 5,542 4,539 5,542323 S23 363 8,260 5,564 3,406 2,942 5,079 2,942 5,079324 S31 4,941 10,943 10,619 8,874 7,481 10,621 7,481 10,621325 Smb<= MaxSPmbQ Acceptable 5,304 10,943 10,619 8,874 7,481 10,621 7,481 10,621max(S12,S23,S31)<=60000

((Sx+So)/2)-SQRT(((Sx-So)/2)^2+Txo^2)abs(S1m - S2m)

abs(S2m-0)abs(0-S1m)


max(S12,S23,S31)<=30000((Sx+So)/2)+SQRT(((Sx-So)/2)^2+Txo^2)

max(S12,S23,S31)<=30000((Sx+So)/2)+SQRT(((Sx-So)/2)^2+Txo^2)((Sx+So)/2)-SQRT(((Sx-So)/2)^2+Txo^2)

abs(S1m - S2m)

((Sx+So)/2)-SQRT(((Sx-So)/2)^2+Txo^2)abs(S1m - S2m)


((Sx+So)/2)+SQRT(((Sx-So)/2)^2+Txo^2)

Download - Sample4 Spreadsheet

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