API 650, 5.6.4, Calculation of Shell Thickness by the 1-Foot Method Plant ID Equipment Number: Equipment Type: A Tank Farm ABC-1234 API 650 Storage Tank Design Material (Course 1): SA 283 C Material (Course 2, 3 & 4): SA-515 60 Corrosion Allowance (in): Nominal Diameter (ft): 212 Height (ft): 32 Specific Gravity: 0.85 Equipment: Date: Oil Storage Tank 02 12th August 2014 Shell Course Height (in) Course 1: 96 Course 2: 96 Course 3: 96 Course 4: 93 Nominal thick 0.957 0.710 0.467 0.375 Calculation of Thickness by the 1-Foot Method, inches Reference: API 650, 11th edition, 5.6.3 The 1-foot method calculates the thicknesses required at design points 0.3 m (1 ft) above the bottom This method shall not be used for tanks larger than 61 m (200 ft) in diameter. The required minimum thickness of shell plates shall be the greater of the values computed by the fo td = 2.6 D(H-1) G + CA Sd and tt = 2.6 D(H-1) St where td bottom-course corroded shell thickness, (in.), tt hydrostatic test shell thickness (in.), nominal tank diameter, in ft (see 5.6.1.1, Note 1), design liquid level, (ft), height from the bottom of the course under consideration to the top of the shell including D H G CA Sd St angle, if any; to the bottom of any overflow that limits the tank filling height; or to any ot specified by the Purchaser, restricted by an internal floating roof, or controlled to allow fo wave action, design specific gravity of the liquid to be stored, as specified by the Purchaser, corrosion allowance, (in.), as specified by the Purchaser (see 5.3.2), allowable stress for the design condition, (lbf/in. 2) (see 5.6.2.1), Tables 5-2a and 5-2b allowable stress for the hydrostatic test condition, (lbf/in. 2) (see 5.6.2.2). Tables 5-2a and Course number: 1 D= 212 ft H= 31.75 ft G= 0.85 CA = 0.000 in Sd = 20000 psi Course number: 2 D= 212 ft H= 23.75 ft G= 0.85 CA = 0.000 in Sd = 21300 psi Course number: 3 D= 212 ft H= 15.75 ft G= 0.85 CA = 0.000 in Sd = 21300 psi St = 22500 psi St = 24000 psi St = 24000 psi td = 0.720 in td = 0.500 in td = 0.324 in tt = 0.753 in tt = 0.522 in tt = 0.339 in Nominal thickness (in): at design points 0.3 m (1 ft) above the bottom of each shell course. e the greater of the values computed by the following formulas: r consideration to the top of the shell including the top w that limits the tank filling height; or to any other level n internal floating roof, or controlled to allow for seismic bf/in. 2) (see 5.6.2.1), Tables 5-2a and 5-2b ndition, (lbf/in. 2) (see 5.6.2.2). Tables 5-2a and 5-2b Course number: 4 D= 212 ft H= 7.75 ft G= 0.85 CA = 0.000 in Sd = 21300 psi St = 24000 psi td = 0.148 in tt = 0.155 in See Appendix K tab for API 650, 5.6.4, Calculation of Shell Thickness by the Variable-Design-Point Me ion of Shell Thickness by the Variable-Design-Point Method API 650, 5.6.4, Calculation of Shell Thickness by the Variable-Design-Point Method Plant ID Equipment Number: Equipment Type: ABC-1234 API 650 Storage Tank Equipment: Date: A BIG TANK Oil Storage Tank #280 19th August 2014 Introduction The following calculation of tank shell thickness by the Variable-Design-Point Method is based 650, edition 11, section 5.6.4, using the methods described in Appendix K, for tanks with diam greater than 200 ft, to establish tmin values for corrosion monitoring purposes. The information to perfom this calculation includes, the original specified nominal thickness of the bottom she the specific gravity of the tank contents, the height, corrosion allowance and plate specificati course (including the product design stress, Sd and the hydrostatic test stress, St). Summary Course 1 2 3 4 5 tmin 0.962 in 0.782 in 0.531 in 0.423 in 0.182 in Description Bottom course Second course Third course Fourth course Fifth course API 650, 5.6.4, Calculation of Shell Thickness by the Variable-Design-Point Method Plant ID Equipment Number: Equipment Type: ABC-1234 API 650 Storage Tank Equipment: Date: A BIG TANK Oil Storage Tank #280 19th August 2014 Design Diameter (D) Height (H) Specific Gravity (G) Specified nominal thickness of bottom shell course: 280 ft 40 ft 0.85 Course Course Height ft. Course Height (h) in. H ft. CA in. Material Sd psi 1 2 3 4 5 8 8 8 8 8 96 96 96 96 96 40 32 24 16 8 0.125 0.125 0.0625 0 0 A573-70 A573-70 A573-70 A36 A36 28000 28000 28000 23200 23200 Calculation for BOTTOM COURSE (COURSE 1) shell thickness, inches Reference: API 650, 11th edition, 5.6.4 The required shell thickness for each course shall be the greater of the design shell thickness plus a allowance or the hydrostatic test shell thickness, but the total shell thickness shall not be less than thickness required by 5.6.1.1, 5.6.1.3, and 5.6.1.4. To calculate the bottom-course thicknesses, preliminary values tpd and tpt for the design and hydrost conditons shall first be calculated from the formulas in 5.6.3.2. Design Condition tpd = 2.6 D(H-1) G + CA Sd = t1d = 1.06 - 0.463D H 0.987 in HG Sd 2.6HDG Sd + CA = 0.962 in t1d need not be greater than tpd t1d = minimum of above thicknesses = 0.962 in Hydrostatic Test Condition tpt = 2.6 D(H-1) = St t1t = 1.06 - 0.463D H 0.946 in H St 2.6HD St = 0.914 in t1t need not be greater than tpt t1t = minimum of above thicknesses = 0.914 in tmin = minimum nominal thickness required tmin = 0.962 in API 650, 5.6.4, Calculation of Shell Thickness by the Variable-Design-Point Method Plant ID Equipment Number: Equipment Type: ABC-1234 API 650 Storage Tank Equipment: Date: A BIG TANK Oil Storage Tank #280 19th August 2014 Conditions for use of the Variable-Design-Point Method Reference: API 650, 11th edition, 5.6.4.1 Design by the variable-design-point method gives shell thicknesses at design points that result in th stresses beinghas relatively close tospecified the actual circumferential shell stresses. This method may only be the Purchaser not specified that the 1-foot method be used and when the following is true: L ≤2 H where L D t H (6 Dt)0.5 , (in), tank diameter, (ft), bottom-course corroded shell thickness, (in.), maximum design liquid level (see 5.6.3.2), (ft). L = 40.206 D = 280 t= 0.962 H = 40.0 L/H = 1.01 in ft in ft Is L/H ≤ 2? YES The Variable-Design-Point Method can be used Calculation for SECOND COURSE (COURSE 2) shell thickness, inches Reference: API 650, 11th edition, 5.6.4.5 To calculate the second-course thicknesses for both the design condition and the hydrostatic test co value of the following ratio shall be calculated for the bottom course: h1 (rt1)0.5 where h1 r t1 height of the bottom shell course, (in.), nominal tank radius, (in.), calculated corroded thickness of the bottom shell course, (in.), used to calculate t2 (de calculated hydrostatic thickness of the bottom shell course shall be used to calculate t test). h1 = r= 96 1680 in in t1 = 0.962 in h1/(rt1)0.5 = 2.388 ratio API 650, 5.6.4, Calculation of Shell Thickness by the Variable-Design-Point Method Plant ID Equipment Number: Equipment Type: ABC-1234 API 650 Storage Tank Equipment: Date: A BIG TANK Oil Storage Tank #280 19th August 2014 Calculation for SECOND COURSE (COURSE 2) shell thickness, inches, contiuned… If the value of the ratio is less than or equal to 1.375: t2 = t1 If the value of the ratio is greater than or equal to 2.625: t2 = t2a If the value of the ratio is greater than 1.375 but less than 2.625,: t2 = t2a + (t1 - t2a) 2.1 - h1 1.25 (rt1)0.5 where t2 = minimum design thickness of the second shell course, (in.), t2a = corroded thickness of the second shell course, (in.), as calculated for an upper shell co described in 5.6.4.6 to 5.6.4.8. In calculating second shell course thickness (t2) for desi hydrostatic test case, applicable values of t2a and t1 shall be used. is ratio≤ 1.375? NO t2 = N/A in is ratio≥ 2.625? NO t2 = N/A in is ratio˃ 1.375 & ˂ 2.625 YES t2 = 0.657 in Design Condition h1 = 96 in r= 1680 in t1d = 1.000 in 0.125 in CA = t1 = h1/(rt1) 0.875 in 0.5 = 2.388 ratio t2a = 0.634 in t2 = 0.657 in t2d = t2 + CA = 0.782 in API 650, 5.6.4, Calculation of Shell Thickness by the Variable-Design-Point Method Plant ID Equipment Number: Equipment Type: ABC-1234 API 650 Storage Tank Equipment: Date: A BIG TANK Oil Storage Tank #280 19th August 2014 Calculation for SECOND COURSE (COURSE 2) shell thickness, inches, contiuned… Hydrotest Test Condition h1 = 96 in r= 1680 in t1t = 1.000 in t1 = 1.000 in t2a = 0.699 in t2 = 0.767 in t2t = 0.767 in tmin = greater of t2d or t2t = 0.782 in tmin = 0.782 in Calculation for SECOND COURSE (COURSE 2), as upper shell course, shell thickness, inch Reference: API 650, 11th edition, 5.6.4.6 To calculate the upper-course thicknesses for both the design condition and the hydrostatic test con preliminary value tu for the upper-course corroded thickness shall be calculated using the formulas then the distance x of the variable design point from the bottom of the course shall be calculated us value obtained from the following: x1 = 0.61 (rtu)0.5 + 3.84 CH x2 = 12 CH x3 = 1.22 (rtu)0.5 where tu = corroded thickness of the upper course at the girth joint, (in.), C= [K0.5 (K – 1)]/(1 + K1.5), K= tL / tu, tL = corroded thickness of the lower course at the girth joint, (in.), this is the nominal specified thickness of the bottom shell course less the corrosion allo (this value will be ≥ the bottom course (course 1), tmin). H= design liquid level (see 5.6.3.2), (ft). (height from the bottom of the course under condideration to the top of the shell). r= tank radius, (in). API 650, 5.6.4, Calculation of Shell Thickness by the Variable-Design-Point Method Plant ID Equipment Number: Equipment Type: ABC-1234 API 650 Storage Tank Equipment: Date: A BIG TANK Oil Storage Tank #280 19th August 2014 Calculation for SECOND COURSE (COURSE 2), as upper shell course, shell thickness, inch nominal thickness of bottom shell course = tL = 1.000 in 0.875 in Design condition tL = 0.914 in Hydrotest condition H= 32 ft r= 1680 in Design Condition Trials with td - CA = 2.6 D(H-1) G = Sd starting tu = 1 2 3 4 2.6D H - x G 12 Sd 0.6851 in tu in. K C x1 in. x2 in. x3 in. 0.685 0.640 0.634 0.634 1.277 1.367 1.381 1.380 0.128 0.165 0.171 0.170 36.449 40.298 40.885 40.851 49.231 63.420 65.575 65.450 41.390 40.006 39.801 39.813 td - CA = 0.634 in td = 0.759 in Hydrotest Condition Trials 2.6D H - x 12 St with tt = 2.6 D(H-1) St tu = starting = 0.752 in API 650, 5.6.4, Calculation of Shell Thickness by the Variable-Design-Point Method Plant ID Equipment Number: Equipment Type: ABC-1234 API 650 Storage Tank Equipment: Date: A BIG TANK Oil Storage Tank #280 19th August 2014 Calculation for SECOND COURSE (COURSE 2), as upper shell course, shell thickness, inch 1 2 3 4 tu in. K C x1 in. x2 in. x3 in. 0.752 0.708 0.701 0.699 1.215 1.292 1.305 1.307 0.101 0.134 0.140 0.141 34.137 37.548 38.098 38.188 38.909 51.616 53.658 53.989 43.371 42.061 41.855 41.822 tt = 0.699 in Calculation for THIRD COURSE (COURSE 3), shell thickness, inches x1 = 0.61 (rtu)0.5 + 3.84 CH x2 = 12 CH x3 = 1.22 (rtu)0.5 where tu = corroded thickness of the upper course at the girth joint, (in.), C= K= [K0.5 (K – 1)]/(1 + K1.5), tL / tu, tL = td of lower shell course less CA Design condition tL = calculated hydrostatic thickness of lower shell course Hydrostatic condition H= design liquid level (see 5.6.3.2), (ft). (height from the bottom of the course under condideration to the top of the shell). r= tank radius, (in). tL = 0.657 in Design condition tL = 0.767 in Hydrotest condition H= 24 ft r= 1680 in Design Condition Trials 2.6D H - x G 12 Sd with td - CA = 2.6 D(H-1) G tu = = Sd starting 0.5083 in API 650, 5.6.4, Calculation of Shell Thickness by the Variable-Design-Point Method Plant ID Equipment Number: Equipment Type: ABC-1234 API 650 Storage Tank Equipment: Date: A BIG TANK Oil Storage Tank #280 19th August 2014 Calculation for THIRD COURSE (COURSE 3), shell thickness, inches 1 2 3 4 tu in. K C x1 in. x2 in. x3 in. 0.508 0.475 0.469 0.469 1.293 1.385 1.400 1.403 0.135 0.172 0.178 0.179 30.256 33.089 33.550 33.626 38.846 49.572 51.310 51.595 35.651 34.452 34.262 34.231 td - CA = 0.468 in td = 0.531 in Hydrotest Condition Trials 2.6D H - x 12 St with tt = starting rtu = 1 2.6 D(H-1) St = 0.558 in tu in. K C x1 in. x2 in. x3 in. 0.558 1.375 0.168 34.186 48.461 37.358 2 3 4 0.513 0.510 0.510 1.495 1.505 1.504 0.214 0.218 0.217 37.637 37.905 37.886 61.641 62.659 62.586 tt = 0.510 in tmin = 0.531 in 35.825 35.709 35.717 API 650, 5.6.4, Calculation of Shell Thickness by the Variable-Design-Point Method Plant ID Equipment Number: Equipment Type: ABC-1234 API 650 Storage Tank Equipment: Date: A BIG TANK Oil Storage Tank #280 19th August 2014 Calculation for FOURTH COURSE (COURSE 4), shell thickness, inches x1 = 0.61 (rtu)0.5 + 3.84 CH x2 = 12 CH x3 = 1.22 (rtu)0.5 where tu = corroded thickness of the upper course at the girth joint, (in.), C= K= [K0.5 (K – 1)]/(1 + K1.5), tL / tu, tL = td of lower shell course less CA Design condition tL = calculated hydrostatic thickness of lower shell course Hydrostatic condition H= design liquid level (see 5.6.3.2), (ft). (height from the bottom of the course under condideration to the top of the shell). r= tank radius, (in). tL = 0.468 in Design condition tL = 0.510 in Hydrotest condition H= 16 ft r= 1680 in Design Condition Trials 2.6D H - x G 12 Sd with td - CA = 2.6 D(H-1) G tu = Sd starting 1 2 3 4 = 0.400 in tu in. K C x1 in. x2 in. x3 in. 0.400 0.392 0.387 0.385 1.171 1.195 1.210 1.218 0.082 0.093 0.099 0.103 20.827 21.339 21.640 21.818 15.665 17.769 19.001 19.732 31.629 31.306 31.118 31.008 td - CA = 0.383 in td = 0.383 in API 650, 5.6.4, Calculation of Shell Thickness by the Variable-Design-Point Method Plant ID Equipment Number: Equipment Type: ABC-1234 API 650 Storage Tank Equipment: Date: A BIG TANK Oil Storage Tank #280 19th August 2014 Calculation for fourth course (course 4), shell thickness, inches Hydrotest Condition Trials with 2.6D H - x 12 St tt = 2.6 D(H-1) St starting tu = 1 2 3 4 = 0.439 in tu in. K C x1 in. x2 in. x3 in. 0.439 0.431 0.427 0.425 1.1633 1.1830 1.1946 1.2008 0.078 0.087 0.092 0.095 21.357 21.767 21.979 22.135 14.999 16.713 17.624 18.245 33.115 32.838 32.679 32.594 tt = 0.423 in tmin = 0.423 in Calculation for FIFTH COURSE (COURSE 5), shell thickness, inches x1 = 0.61 (rtu)0.5 + 3.84 CH x2 = 12 CH x3 = 1.22 (rtu)0.5 where tu = corroded thickness of the upper course at the girth joint, (in.), C= K= [K0.5 (K – 1)]/(1 + K1.5), tL / tu, tL = td of lower shell course less CA Design condition tL = calculated hydrostatic thickness of lower shell course Hydrostatic condition H= design liquid level (see 5.6.3.2), (ft). (height from the bottom of the course under condideration to the top of the shell). r= tank radius, (in). tL = 0.383 in Design condition tL = 0.423 in Hydrotest condition H= 8 ft r= 1680 in API 650, 5.6.4, Calculation of Shell Thickness by the Variable-Design-Point Method Plant ID Equipment Number: Equipment Type: ABC-1234 API 650 Storage Tank Equipment: Date: A BIG TANK Oil Storage Tank #280 19th August 2014 Calculation for FIFTH COURSE (COURSE 5), shell thickness, inches Design Condition Trials with td - CA = tu = 2.6 D(H-1) G = Sd starting 1 2 3 4 2.6D H - x G 12 Sd 0.187 in tu in. K C x1 in. x2 in. x3 in. 0.187 0.165 0.168 0.168 2.051 2.316 2.277 2.282 0.382 0.443 0.434 0.435 22.546 23.762 23.596 23.619 36.695 42.486 41.696 41.803 21.607 20.334 20.507 20.484 td - CA = 0.168 in td = 0.168 in Hydrotest Condition Trials with 2.6D H - x 12 St tt = 2.6 D(H-1) St tu = starting 1 2 3 4 = 0.205 in tu in. K C x1 in. x2 in. x3 in. 0.205 0.179 0.182 0.182 2.0685 2.3679 2.3212 2.3278 0.387 0.453 0.444 0.445 23.188 24.497 24.308 24.335 37.114 43.516 42.596 42.728 22.622 21.143 21.355 21.325 tt = 0.182 in tmin = 0.182 in s by the Variable-Design-Point Method Page 1 A BIG TANK FARM Oil Storage Tank #280-01 19th August 2014 ness by the Variable-Design-Point Method is based on API thods described in Appendix K, for tanks with diameter for corrosion monitoring purposes. The information required inal specified nominal thickness of the bottom shell course, e height, corrosion allowance and plate specification of each Sd and the hydrostatic test stress, St). s by the Variable-Design-Point Method Page 2 A BIG TANK FARM Oil Storage Tank #280-01 19th August 2014 1.000 in St psi 30000 30000 30000 24900 24900 be the greater of the design shell thickness plus any corrosion but the total shell thickness shall not be less than the shell minary values tpd and tpt for the design and hydrostatic test API 650 reference 5.6.3.2. 5.6.4.4. 5.6.3.2. 5.6.4.4. the greater of td or tt controlled by t1d s by the Variable-Design-Point Method Page 3 A BIG TANK FARM Oil Storage Tank #280-01 19th August 2014 shell thicknesses at design points that result in the calculated mferential shell stresses. This method may only be used when 5.6.4.1 th the design condition and the hydrostatic test condition, the 5.6.4.5 bottom shell course, (in.), used to calculate t2 (design). The he bottom shell course shall be used to calculate t2 (hydrostatic 5.6.4.5 s by the Variable-Design-Point Method Page 4 A BIG TANK FARM Oil Storage Tank #280-01 19th August 2014 5.6.4.5 ll course, (in.), as calculated for an upper shell course as culating second shell course thickness (t2) for design case and 5.6.4.5 Page 5 A BIG TANK FARM Oil Storage Tank #280-01 19th August 2014 , as upper shell course, shell thickness, inches the design condition and the hydrostatic test condition, a d thickness shall be calculated using the formulas in 5.6.3.2, and om the bottom of the course shall be calculated using the lowest s of the bottom shell course less the corrosion allowance. e under condideration to the top of the shell). Page 6 A BIG TANK FARM Oil Storage Tank #280-01 19th August 2014 , as upper shell course, shell thickness, inches Design condition Hydrotest condition 5.6.4.7 x in. td-CA in. 36.449 40.006 39.801 39.813 0.640 0.634 0.634 0.634 5.6.4.7 Page 7 A BIG TANK FARM Oil Storage Tank #280-01 19th August 2014 , as upper shell course, shell thickness, inches x in. tt in. 34.137 37.548 38.098 38.188 0.708 0.701 0.699 0.699 Design condition Hydrostatic condition e under condideration to the top of the shell). Design condition Hydrotest condition 5.6.4.7 Page 8 A BIG TANK FARM Oil Storage Tank #280-01 19th August 2014 x in. td-CA in. 30.256 33.089 33.550 33.626 0.475 0.469 0.469 0.468 5.6.4.7 x in. tt in. 34.186 0.513 35.825 35.709 35.717 0.510 0.510 0.510 Page 9 A BIG TANK FARM Oil Storage Tank #280-01 19th August 2014 Design condition Hydrostatic condition e under condideration to the top of the shell). Design condition Hydrotest condition 5.6.4.7 x in. td-CA in. 15.665 17.769 19.001 19.732 0.392 0.387 0.385 0.383 Page 10 A BIG TANK FARM Oil Storage Tank #280-01 19th August 2014 5.6.4.7 x in. tt in. 14.999 16.713 17.624 18.245 0.431 0.427 0.425 0.423 Design condition Hydrostatic condition e under condideration to the top of the shell). Design condition Hydrotest condition Page 11 A BIG TANK FARM Oil Storage Tank #280-01 19th August 2014 5.6.4.7 x in. td-CA in. 21.607 20.334 20.507 20.484 0.165 0.168 0.168 0.168 5.6.4.7 x in. tt in. 22.622 21.143 21.355 21.325 0.179 0.182 0.182 0.182 Steel plates size & weight - thickness range Nominal Size Thickness (inches) 0.1875 3/16 0.2500 1/4 0.3125 5/16 0.3750 3/8 0.4375 7/16 0.5000 1/2 0.5625 9/16 0.6250 5/8 0.6875 11/16 0.7500 3/4 0.8125 13/16 0.8750 7/8 1 1.0000 1 1/8 1.125 1 1/4 1.25 1 3/8 1.375 1 1/2 1.5 1 5/8 1.625 1 3/4 1.75 1 7/8 1.875 2 2 2 1/8 2.125 2 1/4 2.25 2 1/2 2.5 2 3/4 2.75 3 3 3 1/4 3.25 3 1/2 3.5 3 3/4 3.75 4 4 4 1/4 4.25 4 1/2 4.5 5 5 5 1/2 5.5 6 6 6 1/2 6.5 7 7 7 1/2 7.5 8 8 9 9 10 10 Weight (lb/ft2) 7.65 10.20 12.75 15.30 17.85 20.40 22.95 25.50 28.05 30.60 33.15 35.70 40.80 45.90 51.00 56.10 61.20 66.30 71.40 76.50 81.60 86.70 91.80 102.00 112.20 122.40 132.60 142.80 153.00 163.20 173.40 183.60 204.00 224.40 244.80 265.20 285.60 306.00 326.40 367.20 408.00