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J560_30_T-002 TANK DESIGN CALCULATIONS
SUMMARY OF DESIGN DATA and REMARKS Job : J560_30_T-002 Date of Calcs. : 12/28/2010 , 04:03 PM Mfg. or Insp. Date : 1/25/2011 Designer : SA Duazo Project : Saudi Technology Base Lube OIl Plant Tag Number : 30-T-002 CONCENTRATE STORAGE TANK Plant : Saudi Technology Base Lube Oil Plant Plant Location : Al-Kharj Saudi Arabia Site : Al-Kharj Saudi Arabia Design Basis : API-650 11th Edition, Addendum 2, Nov 2009 ---------------------------------------------------------------------- - TANK NAMEPLATE INFORMATION ---------------------------------------------------------------------- - Operating Ratio: 0.4 - Design Standard: - API-650 11th Edition, Addendum 2, Nov 2009 - - (None) - - Roof : A-36: 0.1969in. - - Shell (3): A-36: 0.236in. - - Shell (2): A-36: 0.236in. - - Shell (1): A-36: 0.236in. - - Bottom : A-36: 0.3125in. - ---------------------------------------------------------------------- Design Internal Pressure = 0 PSI or 0 IN. H2O Design External Pressure = 0 PSI or 0 IN. H2O MAWP = 2.5000 PSI or 69.28 IN. H2O MAWV = -0.9239 PSI or -25.60 IN. H2O OD of Tank = 11.5223 ft Shell Height = 19.685 ft S.G. of Contents = 1.1 Max. Liq. Level = 19.685 ft Design Temperature = 185 °F Tank Joint Efficiency = 1 Ground Snow Load = 0 lbf/ft^2 Roof Live Load = 20 lbf/ft^2 Design Roof Dead Load = 9.65 lbf/ft^2 Basic Wind Velocity = 75 mph Wind Importance Factor = 1 Using Seismic Method: NONE DESIGN NOTES NOTE 1 : Tank is not subject to API-650 Appendix F.7
** NOTE ** A Minimum Liquid Level of 3.28 ft. has been used for this model as entered on the Shell Design Screen. SUMMARY OF RESULTS Shell Material Summary (Bottom is 1) Shell Width Material Sd St Weight « CA # (ft) (psi) (psi) (lbf) « (in) 3 6.561 A-36 23,200 24,900 2,283 « 0.118 2 6.561 A-36 23,200 24,900 2,283 « 0.118 1 6.561 A-36 23,200 24,900 2,283 « 0.118 Total Weight 6,849 Shell API 650 Summary (Bottom is 1) ---------------------------------------------------------------------- Shell t.design t.test t.external t.seismic t.required t.actual # (in.) (in.) (in.) (in.) (in.) (in.) ---------------------------------------------------------------------- 3 0.1259 0.0067 N.A. N.A. 0.1875 0.236 2 0.1352 0.0146 N.A. N.A. 0.1875 0.236 1 0.1445 0.0225 N.A. N.A. 0.236 0.236 ---------------------------------------------------------------------- Self Supported Conical Roof; Material = A-36 t.required = 0.0959 in. t.actual = 0.1969 in. Roof Joint Efficiency = 1 Weight = 871 lbf Bottom Type: Flat Bottom: Non-Annular Bottom Floor Material = A-36 t.required = 0.296 in. t.actual = 0.3125 in. Bottom Joint Efficiency = 1 Total Weight of Bottom = 1,407 lbf ANCHOR BOLTS: (6) 1in. UNC Bolts, A-325 TOP END STIFFENER: L60x60x6, A-36, 134. lbf <Roof Design Per API 650> CONICAL ROOF: A-36 JEr = Roof Joint Efficiency = 1 Lr = Entered Roof Live Load = 20 lbf/ft^2 Lr_1 = Computed Roof Live Load, including External Pressure S = Ground Snow Load = 0 lbf/ft^2 Sb = Balanced Design Snow Load = 0 lbf/ft^2 Su = Unbalanced Design Snow Load = 0 lbf/ft^2
Dead_Load = Insulation + Plate_Weight + Added_Dead_Load = (0)(0/12) + 8.0305 + 9.65 = 17.68 lbf/ft^2 Roof Loads (per API-650 Appendix R) Pe = PV*144 = 0*144 = 0 lbf/ft^2 e.1b = DL + MAX(Sb,Lr) + 0.4*Pe = 17.68 + 20 + 0.4*0 = 37.68 lbf/ft^2 e.2b = DL + Pe + 0.4*MAX(Sb,Lr) = 17.68 + 0 + 0.4*20 = 25.68 lbf/ft^2 T = Balanced Roof Design Load (per API-650 Appendix R) = MAX(e.1b,e.2b) = 37.68 lbf/ft^2 e.1u = DL + MAX(Su,Lr) + 0.4*Pe = 17.68 + 20 + 0.4*0 = 37.68 lbf/ft^2 e.2u = DL + Pe + 0.4*MAX(Su,Lr) = 17.68 + 0 + 0.4*20 = 25.68 lbf/ft^2 U = Unbalanced Roof Design Load (per API-650 Appendix R) = MAX(e.1u,e.2u) = 37.68 lbf/ft^2 Lr_1 = MAX(T,U) = 37.68 lbf/ft^2 pt = Roof Cone Pitch = 3.43 in/ft Theta = Angle of Cone to the Horizontal = ATAN(pt/12) = ATAN(0.2858) = 15.9517 degrees Alpha = 1/2 the Included Apex Angle of Cone = 74.0483 degrees R2 = 6*OD/SIN(Theta) = 251.55 in. Rc = ID/2 = 68.8979 in. <Weight, Surface Area, and Projected Areas of Roof> Ap_Vert = Vertical Projected Area of Roof = pt*OD^2/48 = 3.43*11.5223^2/48 = 9.487 ft^2 Horizontal Projected Area of Roof (Per API-650 5.2.1.f) Xw = Moment Arm of UPLIFT wind force on roof = 0.5*OD = 0.5*11.5223 = 5.7612 ft Ap = Projected Area of roof for wind moment = PI*R^2 = PI*5.7612^2 = 104.272 ft^2
Roof_Area = 36*PI*OD^2/COS(Theta) = 36*PI*(11.5223)^2/COS(15.9517) = 15,617 in^2 Weight = (Density)(t)(Roof_Area) = (0.2833)(0.1969)(15,617) = 871 lbf (New) = 871 lbf (Corroded) < Uplift on Tank > (per API-650 F.1.2) NOTE: This flat bottom tank is assumed supported by the bottom plate. If tank not supported by a flat bottom, then uplift calculations will be N.A., and for reference only. For flat bottom tank with self supported roof, Net_Uplift = Uplift due to design pressure less Corroded weight of shell and roof plates. = P * PI / 4 * D ^ 2 * 144 « - Corr. shell - Corr. roof weight = 0 * 3.1416 / 4 * 132.7636 * 144 « - 3,426 - 871 = -4,297 lbf < Uplift Case per API-650 1.1.1 > P_Uplift = 0 lbf W_Roof_Plates (corroded) = 871 lbf W_Shell (corroded) = 3,426 lbf Since P_Uplift <= W_Roof, Tank Roof does not need to meet App. F requirements. <Minimum Thickness of Roof Plate> ME = 28,799,999/28,799,999 = 1 (per API-650 App. M.5.1) <Section 5.10.5.1> t-Calc1 = ME * SQRT[T/45]*OD/(400*SIN(Theta)) + CA = 1 * SQRT[37.68/45]*11.5223/(400*SIN(15.9517)) + 0 = 0.0959 in. t-Calc2 = ME * SQRT[U/45]*OD/(460*SIN(Theta)) + CA = 1 * SQRT[37.68/45]*11.5223/(460*SIN(15.9517)) + 0 = 0.0834 in. t-Calc = MAX(t-Calc1,t-Calc2) = 0.0959 in. Max_f (due to roof thickness) = 400*SIN(Theta)*(t-CA)/ME/OD = 400*SIN(15.9517)*(0.1969 - 0)/1/11.5223 = 1.8781 Max_T1 (due to roof thickness) = Max_f^2 * 45 = 1.8781^2 * 45 = 158.7267lbf/ft^2 P_ext_1 (due to roof thickness) = -[Max_T1 - DL - 0.4 * Max(Snow_Load,Lr)]/144 = -[158.7267 - 17.68 - 0.4 * Max(0,20)]/144 = -0.9239 PSI or -25.61 IN. H2O P_max_ext = -0.9239 PSI or -25.6 IN. H2O
<Actual Participating Area of Roof-to-Shell Juncture> (From API-650 Figure F-2) Wc = 0.6 * SQRT[Rc * (t-CA)] (Top Shell Course) = 0.6 * SQRT[68.8979 * (0.236 - 0.118)] = 1.7108 in. (From API-650 Figure F-2) Wh = 0.3 * SQRT[R2 * (t-CA)] (or 12", whichever is less) = 0.3 * SQRT[251.55 * (0.1969 - 0)] = MIN(2.1111, 12) = 2.1111 in. Top End Stiffener: L60x60x6 Aa = (Cross-sectional Area of Top End Stiffener) = 1.071 in^2 Using API-650 Fig. F-2, Detail b End Stiffener Detail Ashell = Contributing Area due to shell plates = Wc*(t_shell - CA) = 1.7108 * (0.236 - 0.118) = 0.202 in^2 Aroof = Contributing Area due to roof plates = Wh*(t_roof - CA) = 2.1111 * (0.1969 - 0) = 0.416 in^2 A = Actual Part. Area of Roof-to-Shell Juncture (per API-650) = Aa + Aroof + Ashell = 1.071 + 0.416 + 0.202 = 1.689 in^2 MINIMUM PARTICIPATING AREA Cone Roof ( Per API-650 Section 5.10.5.2 ) p = MAX(U,T) Fa = Min(Fy_roof,Fy_shell,Fy_stiff) = Min(36,000,36,000,36,000) = 36,000 psi A_min = Minimum Participating Area = p*D^2/(8*Fa*TAN(Theta)) = 37.68*11.5223^2/(8*36,000*TAN(15.9517)) = 0.061 in^2 MaxT_A = Max Roof Load due to Participating Area ( reversing API-650 Section 5.10.5.2 ) = 45*A*3000*SIN(Theta)/OD^2 = 45*1.689*3000*SIN(15.9517)/11.5223^2) = 472.002 lbf/ft^2 P_ext_2 (Due to MaxT_A) = -[Max_T1 - DL - 0.4 * Max(Snow_Load,Lr)]/144 = -[472.002 - 17.68 - 0.4 * Max(0,20)]/144 = -1 PSI (Due to Participating Area) P_max_ext = MAX(-0.9239,-1) = -0.9239 PSI or -25.6 IN. H2O t.required = 0.0959 in. < ROOF DESIGN SUMMARY >
t.required = 0.0959 in. t.actual = 0.1969 in. P_max_internal = 2.5 PSI or 69.28 IN. H2O P_max_external = -0.9239 PSI or -25.60 IN. H2O SHELL COURSE DESIGN (Bottom Course is #1) VDP Criteria (per API-650 5.6.4.1) L = (6*D*(t-ca))^0.5 = (6*11.5223*(0.236-0.118))^0.5 = 2.8562 H = Max Liquid Level =19.685 ft L / H <= 2 Course # 1 Material: A-36; Width = 6.5617 ft. Corrosion Allow. = 0.118 in. Joint Efficiency = 1 API-650 ONE FOOT METHOD Sd = 23,200 PSI (allowable design stress per API-650 Table 5-2b) St = 24,900 PSI (allowable test stress) DESIGN CONDITION G = 1.1 (per API-650) < Design Condition G = 1.1 > H' = Effective liquid head at design pressure = H + 2.31*P(psi)/G = 19.685 + 2.31*0/1.1 = 19.68ft t-Calc = 2.6*OD*(H' - 1)*G/(Sd*E) + CA (per API-650 5.6.3.2) = 2.6*11.5223*(19.68 - 1)*1.1/(23,200*1) + 0.118 = 0.1445 in. hMax_1 = E*Sd*(t_1 - CA_1)/(2.6*OD*G) + 1 = 1*23,200*(0.236 - 0.118) / (2.6 * 11.5223 * 1.1) + 1 = 84.0739 ft. Pmax_1 = (hMax_1 - H) * 0.433 * G = (84.0739 - 19.685) * 0.433 * 1.1 = 30.6684 PSI Pmax_int_shell = Pmax_1 Pmax_int_shell = 30.6684 PSI HYDROSTATIC TEST CONDITION < Design Condition G = 1 > H' = Effective liquid head at design pressure = H + 2.31*P(psi)/G = 19.685 + 2.31*0/1 = 19.68ft t.test = 2.6*11.5223*(19.68 - 1)/(24,900*1) = 0.0225 in. Course # 2 Material: A-36; Width = 6.5617 ft. Corrosion Allow. = 0.118 in.
Joint Efficiency = 1 API-650 ONE FOOT METHOD Sd = 23,200 PSI (allowable design stress per API-650 Table 5-2b) St = 24,900 PSI (allowable test stress) DESIGN CONDITION G = 1.1 (per API-650) < Design Condition G = 1.1 > H' = Effective liquid head at design pressure = H + 2.31*P(psi)/G = 13.1233 + 2.31*0/1.1 = 13.12ft t-Calc = 2.6*OD*(H' - 1)*G/(Sd*E) + CA (per API-650 5.6.3.2) = 2.6*11.5223*(13.12 - 1)*1.1/(23,200*1) + 0.118 = 0.1352 in. hMax_2 = E*Sd*(t_2 - CA_2)/(2.6*OD*G) + 1 = 1*23,200*(0.236 - 0.118) / (2.6 * 11.5223 * 1.1) + 1 = 84.0739 ft. Pmax_2 = (hMax_2 - H) * 0.433 * G = (84.0739 - 13.1233) * 0.433 * 1.1 = 33.7938 PSI Pmax_int_shell = Min(Pmax_int_shell, Pmax_2) = Min(30.6684, 33.7938) Pmax_int_shell = 30.6684 PSI HYDROSTATIC TEST CONDITION < Design Condition G = 1 > H' = Effective liquid head at design pressure = H + 2.31*P(psi)/G = 13.1233 + 2.31*0/1 = 13.12ft t.test = 2.6*11.5223*(13.12 - 1)/(24,900*1) = 0.0146 in. Course # 3 Material: A-36; Width = 6.5616 ft. Corrosion Allow. = 0.118 in. Joint Efficiency = 1 API-650 ONE FOOT METHOD Sd = 23,200 PSI (allowable design stress per API-650 Table 5-2b) St = 24,900 PSI (allowable test stress) DESIGN CONDITION G = 1.1 (per API-650) < Design Condition G = 1.1 > H' = Effective liquid head at design pressure = H + 2.31*P(psi)/G = 6.5616 + 2.31*0/1.1 = 6.56ft t-Calc = 2.6*OD*(H' - 1)*G/(Sd*E) + CA (per API-650 5.6.3.2) = 2.6*11.5223*(6.56 - 1)*1.1/(23,200*1) + 0.118 = 0.1259 in.
hMax_3 = E*Sd*(t_3 - CA_3)/(2.6*OD*G) + 1 = 1*23,200*(0.236 - 0.118) / (2.6 * 11.5223 * 1.1) + 1 = 84.0739 ft. Pmax_3 = (hMax_3 - H) * 0.433 * G = (84.0739 - 6.5616) * 0.433 * 1.1 = 36.9191 PSI Pmax_int_shell = Min(Pmax_int_shell, Pmax_3) = Min(30.6684, 36.9191) Pmax_int_shell = 30.6684 PSI HYDROSTATIC TEST CONDITION < Design Condition G = 1 > H' = Effective liquid head at design pressure = H + 2.31*P(psi)/G = 6.5616 + 2.31*0/1 = 6.56ft t.test = 2.6*11.5223*(6.56 - 1)/(24,900*1) = 0.0067 in. Wtr = Transposed Width of each Shell Course = Width*[ t_top / t_course ]^2.5 Transforming Courses (1) to (3) Wtr(1) = 6.5617*[ 0.236/0.236 ]^2.5 = 6.5617 ft Wtr(2) = 6.5617*[ 0.236/0.236 ]^2.5 = 6.5617 ft Wtr(3) = 6.5449*[ 0.236/0.236 ]^2.5 = 6.5449 ft Hts (Height of the Transformed Shell) = SUM{Wtr} = 19.6683 ft INTERMEDIATE WIND GIRDERS (API 650 Section 5.9.7) V (Wind Speed) = 75 mph Ve = vf = Velocity Factor = (vs/120)^2 = (75/120)^2 = 0.3906 Design PV = 0 PSI, OR 0 In. H2O <TOP END STIFFENER CALCULATIONS> Z = Required Top Comp Ring Section Modulus (per API-650 5.1.5.9.e) = 0 in^3 Top Comp. Ring is not required for Self-Supported Roofs if the requirements of either Section 5.10.5 or 5.10.6 are met. Actual Z = 0.391 in^3 Using L60x60x6, Wc = 2.4241 <INTERMEDIATE STIFFENER CALCULATIONS> (PER API-650 Section 5.9.7)
NOTE: Using the thinnest shell course, t_thinnest, instead of top shell course. ME = 28,799,999/28,799,999 = 1 Hu = Maximum Height of Unstiffened Shell = {ME*600,000*t_thinnest*SQRT[t_thinnest/OD]^3} / Ve) = {1*600,000*0.236*SQRT[0.236/11.5223]^3} / 0.3906 = 1,063 ft Wtr = Transposed Width of each Shell Course = Width*[ t_top / t_course ]^2.5 Transforming Courses (1) to (3) Wtr(1) = 6.5617*[ 0.236/0.236 ]^2.5 = 6.5617 ft Wtr(2) = 6.5617*[ 0.236/0.236 ]^2.5 = 6.5617 ft Wtr(3) = 6.5449*[ 0.236/0.236 ]^2.5 = 6.5449 ft Hts (Height of the Transformed Shell) = SUM{Wtr} = 19.6683 ft L_0 = Hts/# of Stiffeners + 1 = 19.6683/1 = 19.67 ft. No Intermediate Wind Girders Needed Since Hu >= L_0 SHELL COURSE #1 SUMMARY ------------------------------------------- t-Calc = MAX(t-Calc_650, t_min_ext, t.seismic) = MAX(0.1445, 0, 0) = 0.1445 in. t-650min = 0.236 in. (per API-650 Section 5.6.1.1, NOTE 4) t.required = MAX(t.design, t.test, t.min650) = 0.236 in. t.actual = 0.236 in. Weight = Density*PI*[(12*OD) - t]*12*Width*t = 0.2833*PI*[(12*11.5223)-0.236]*12*6.5617*0.236 = 2,283 lbf (New) = 1,142 lbf (Corroded) SHELL COURSE #2 SUMMARY ------------------------------------------- t-Calc = MAX(t-Calc_650, t_min_ext, t.seismic) = MAX(0.1352, 0, 0) = 0.1352 in. t-650min = 0.1875 in. (per API-650 Section 5.6.1.1, NOTE 4)
L_nn (Length of Manway Neck Contributing to Reinforcement: « REFERENCE ONLY), = 2.5 * MIN[(t_n - ca_n),(t_c - ca_c)] + (t_rp - ca_rp) = 2.5 * MIN[(0.3125 - 0.06),(0.1969 - 0)] + (0.176) = 0.6681 in. CAPACITIES and WEIGHTS Maximum Capacity (to upper TL) : 15,249 gal Design Capacity (to Max Liquid Level) : 15,250 gal Minimum Capacity (to Min Liquid Level) : 2,541 gal NetWorking Capacity (Design - Min.) : 12,709 gal New Condition Corroded ----------------------------------------------------------- Shell 6,849 lbf 3,426 lbf Roof Plates 871 lbf 871 lbf Bottom 1,407 lbf 1,137 lbf Stiffeners 134 lbf 134 lbf Nozzle Wgt 943 lbf 943 lbf Misc Roof Wgt 0 lbf 0 lbf Misc Shell Wgt 0 lbf 0 lbf Insulation 0 lbf 0 lbf ----------------------------------------------------------- Total 10,204 lbf 6,511 lbf Weight of Tank, Empty : 10,204 lbf Weight of Tank, Full of Product (SG=1.1): 150,189 lbf Weight of Tank, Full of Water : 137,463 lbf Net Working Weight, Full of Product : 126,872 lbf Net Working Weight, Full of Water : 116,266 lbf Foundation Area Req'd : 104 ft^2 Foundation Loading, Empty : 98.12 lbf/ft^2 Foundation Loading, Full of Product (SG=1.1) : 1,444 lbf/ft^2 Foundation Loading, Full of Water : 1,322 lbf/ft^2 SURFACE AREAS Roof 108 ft^2 Shell 713 ft^2 Bottom 104 ft^2 Wind Moment 22,737 ft-lbf Seismic Moment 0 ft-lbf MISCELLANEOUS ATTACHED ROOF ITEMS MISCELLANEOUS ATTACHED SHELL ITEMS MAWP & MAWV SUMMARY FOR J560_30_T-002 MAXIMUM CALCULATED INTERNAL PRESSURE MAWP = 2.5 PSI or 69.28 IN. H2O (per API-650 App. F.1.3 & F.7) MAWP = Maximum Calculated Internal Pressure (due to shell) = 2.5 PSI or 69.28 IN. H2O MAWP = Maximum Calculated Internal Pressure (due to roof) = 2.5 PSI or 69.28 IN. H2O TANK MAWP** = 2.5 PSI or 69.28 IN. H2O
* This MAWP calculation assumes a minimum liquid level of 3.28 FT. « in the tank. MAXIMUM CALCULATED EXTERNAL PRESSURE MAWV = -1 PSI or -27.71 IN. H2O (per API-650 V.1) MAWV = Maximum Calculated External Pressure (due to shell) = -1.4069 PSI or -38.99 IN. H2O MAWV = Maximum Calculated External Pressure (due to roof) = -0.9239 PSI or -25.6 IN. H2O MAWV = Maximum Calculated External Pressure (due to bottom plate) = -1 PSI or -27.71 IN. H2O TANK MAWV = -0.9239 PSI or -25.6 IN. H2O