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Toriconical Head Calculation - Formulated sheet ready to use

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Toriconical Head Calculation - Formulated sheet ready to use Powered By Docstoc
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Printing and Excel/Windows Russian Roulette
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Verification
This program was verified in one of the following ways
         1 comparing it with an ASME code book examples - most examples are found in App. L
         2 Hand calculations
         3 Comparison with other commercial software
         4 two or more of the above methods
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is no way to guarantee that it is accurate.
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#NAME? <- Useful page 2 formula
#NAME? <- Useful page 3 formula
#NAME? <- Useful page 4 formula
t be restarted.
1    Toriconical Head ver 1.1                                                                          16-Oct-12            Page 1 of 2                                 #VALUE! <- PageTest
2    ASME Code VIII Div I 1998 edition A2000.       www.laurencebrundrett.com                                                 Check latest version
3

4    ASME Sample L-2.3.3                            <- vessel
5    Verification Calculation #1                    <- Component
6
                                                                                                 t
7    Dimensions:
8          201.250 <- Outside Diameter (OD)                                    Alp h a
9             30.0 <- Alpha º
10
                                                                                                                                           H
11            1.000   <- Inside Knuckle Radius (r)                                                          P
                                                                  r
12            0.625   <- Thickness Before Forming
13            0.625   <- Thickness of Knuckle                                                          Di                             Hk
14            0.000   <- Corrosion Allowance                                                           Do

15            2.000   <- Straight Skirt Length
16                                                            Skirt

17   Material Properties:
                                                                                                       OD
18                  <- Material
19           1000.0 <- Design Pressure(psig)
20           13,800 <- Allowable Stress Level (psi)
21             0.80 <- Efficiency (UW-12(d))                                             11530.8 <- Approx. weight (lbs, steel)
22                                                                                       1094.66 <- Volume (cuft, includes skirt)
23   Limits      UG-32(h)
24                  r >= 6% of OD               r = 1.000                           6% of OD = 12.075                              ERROR
25                  r >= 3*t                    r = 1.000                                 3*t = 1.875                              ERROR
26


27   Geometry
28             a = AlphaDeg*pi/180                         = 30 * pi / 180                                                   a = 0.524
29            Hk = (r+t)*SIN(Alpha)                        = (1+0.625) * SIN(0.524)                                         Hk = 0.813
30            Do = OD -2*(r + t)*(1 - cos(a))
31                              = 201.25 - 2*(1 + 0.625)*(1 - cos(0.524))                                                  Do = 200.815
32            Di = OD -2t -2r*(1 - cos(a))
33                              = 201.25-2*0.625 - 2*1*(1 - cos(0.524))                                                     Di = 199.732
34             H = Skirt + Hk + Do/(2 * Tan(a))
35                              = 2 + 0.813 + 200.815/(2 * Tan(0.524))                                                       H = 176.723
36

37   Knuckle Section           UG-32(h), 1-4(d-3)
38              L = Di/(2*cos(a))                                     = 199.732/(2*cos(0.524))                               L = 115.315
39              M = 0.25*(3+Sqrt(L/r)                                 = 0.25 * (3 + sqrt(115.315 / 1)                        M = 3.435
40               t = Thick - corrosion                                = 0.625 - 0                                             t = 0.625
41

42                          PLM                         1000 * 115.315 * 3.435
43             tMin = ----------------              = ----------------------------------------------                     tMin = 18.102
44                    2SE - 0.2P                        2 * 13800 * 0.8 - 0.2 * 1000                                 ERROR
45

46                         2SEt                         2 * 13800 * 0.8 * 0.625
47            PMax = ----------------               = ----------------------------------------------                     PMax = 34.8
48                   LM + 0.2t                         115.315 * 3.435 + 0.2 * 0.625                                 ERROR
49

50   ASME Sample L-2.3.3 Verification Calculation #1                                                   16-Oct-12            Page 2 of 2
51

52   Conical Section             UG-32(g)
53

54               tc = ThickB - corrosion                              = 0.625 - 0                                             tc = 0.625
55

56                           PDi                        1000 * 199.732
57             tMin = ----------------              = ----------------------------------------------                     tMin = 11.046
58                    2cos(a)*(SE-0.6P)                2 * cos(0.524)*(13800*0.8-0.6*1000)                           ERROR
59

60                    2SEtcCos(a)                    2 * 13800 * 0.8 * 0.625 * Cos(0.524)
61            PMax = ----------------               = ----------------------------------------------                     PMax = 60
62                  D + 1.2*tc*cos(a)                  199.732 + 1.2 * 0.625 * cos(0.524)                            ERROR
63

64   Opening In Cone - Required Thickness, E=1                               UG-32(g)
65

66           30.000 <- Dd Diameter of cone at opening
67                                                                                                                            for reinforcement
68                           PDd                        1000 * 30                                                             calculations only!
69        tatOpening = ----------------             = ----------------------------------------------                    tatOpening = 1.312
70                     2cos(a)*(SE-0.6P)               2 * cos(0.524)*(13800*1-0.6*1000)
71


72
73
     Head stress relief             (UCS-79 (d) - carbon and low alloy steel only)
74              Yes <- Head is cold formed(Yes/no)
75                        100.0% <- Fiber elongation                     > 5% ?                                      Required      Yes ?
76               no <- Vessel carries lethal substances(Yes/no)                                                      no            no                0
77               no <- Impact testing is required (Yes/no)                                                           no            no                0
78               no <- Formed between 250 and 900 Degrees F                                                          no            no                0
79                              no <- Greater than 10% reduction in thickness                                        no            no                0
80                              no <- Head is greater than 5/8" thick before forming                                 no            no                0
81                                                                                                              Stress Relieve ?   no                0
82

83

84




                                                                                                                                                         cone
                                                                                                                                                          99.866025 <- r (radius)               [rad]
                                                                                                                                                            172.661 <- height = h-hk-skirt-t/sin(alpha)
                                                                                                                                                                      volume = pi*r^2*h/3
                                                                                                                                                                      volume = pi * 99.866^2 * 172.661
                                                                                                                                                                     volume = #########

                                                                                                                                                         Volume       Knuckle
                                                                                                                                                                                         C2
                                                                                                                                                                                                                                              h


                                                                                                                                                                  h
                                                                                                                                                                                                            r
                                                                                                                                                                                                                                                       c/2
                                                                                                                                                                                                                                          r        a
                                                                                                                                                                                         C1
                                                                                                                                                                                                                                                       b


                                                                                                                                                         Spherical Sector - form 1 (r and c known)                                            cg
                                                                                                                                                                  1 <- r (radius)              [rad]
                                                                                                                                                              0.524 <- a (radians)
                                                                                                                                                                         Area = (rad^2 / 2) * (2*a - sin(2*a)) / 2
                                                                                                                                                                         Area = ( 1^2 / 2) * (2*0.524 - sin(2*0.524)) / 2
                                                                                                                                                                         Area = 0.0453

                                                                                                                                                                              b = (4*ikr*sin(a)^3) / (6*a - 3*sin(2*a)) - ikr*cos(a)
                                                                                                                                                                              b = (4*1*sin(0.524)^3) / (6*0.524 - 3*sin(2*0.524)) - 1*cos(0.524)
                                                                                                                                                                              b = 0.054                        centre of gravity

                                                                                                                                                         Volume = Path length at cg * area
                                                                                                                                                            199.732 <- C2                          [Ctwo]

                                                                                                                                                                            cg = Ctwo/2 + b
                                                                                                                                                                            cg = 199.732 + 0.054
                                                                                                                                                                            cg = 99.920                          swept dia

                                                                                                                                                                             PL = cg * pi * 2
                                                                                                                                                                             PL = 99.92 * 3.142 * 2
                                                                                                                                                                             PL = 627.815                        path length

                                                                                                                                                                        Volume = PL * Area
                                                                                                                                                                        Volume = 627.815 * 0.045
                                                                                                                                                                        Volume = 28                              cubic inches

                                                                                                                                                         Volume inside Knuckle
                                                                                                                                                                     Volume = Pi * (Di/2)^2 * hk
                                                                                                                                                                     Volume = 3.142 * 99.866^2 * 0.813
                                                                                                                                                                     Volume = 25457.091

                                                                                                                                                         Volume inside Skirt
                                                                                                                                                                     Volume = Pi * (OD/2-t)^2 * skirt
                                                                                                                                                                     Volume = 3.142 * 100.625 - 0.625^2 * 2
                                                                                                                                                                     Volume = 62831.853

                                                                                                                                                         Total Volume
                                                                                                                                                                            Vs = #########         Cone
                                                                                                                                                                            Vk = 28.435669         Knuckle
                                                                                                                                                                            Vik = 25457.091        Inside knuckle
                                                                                                                                                                            Vic = 62831.853        Inside skirt
                                                                                                                                                                                   ======
                                                                                                                                                                                  1891572.7        Volume cuin
                                                                                                                                                                                  1094.6601        Volume Cuft




                                                                                                                                                         Cone Weight
                                                                                                                                                         Developed length of cone = (do/2)/sin(alpha)            200.81458
                                                                                                                                                         Developed length of knuckle = (ikr+t/2)*alpha           0.6872234
                                                                                                                                                         Developed length of skirt                                       2
                                                                                                                                                                                                                 ========
                                                                                                                                                                                                   r=            203.50181

                                                                                                                                                         swepth angle = 180*Do/dlcone                                   180

                                                                                                                                                         plate area = swept angle * pi * r^2/360                 65051.365 sqin
                                                                                                                                                         weight = (area/144)*40.84*thick                         11530.806 lbs for carbon steel
Head - Internally Pressurized

      Written By: Laurence Brundrett

          Code: ASME VIII div 1
       Addenda: A2000
       Sections: UG-32, App 1-4(d), UCS 79 (d), UG-37 1(a)

Update Log

            Date Change
        1-Jan-99 Program Written
      16-May-99 Added Audit Sheet
                 Check Spelling
                 Moved Factor M and Volume calculations onto separate sheets
                 Checked Against L-1.5.2(g) - Sample Calculations
        7-Oct-99 Updated Graphics to A99 Standard
        9-Oct-99 Re-arranged contents to make page 2 optional
                 Added Maximum working pressure
                 Volume Calculations Checked
                 Added Stress Meter
                 Set Sample Values
                 Checked Against A99 Update
                 Locked Cells
       10-Oct-99 Added print protection macro
      12-Jan-00 Modified print protection macro
        1-Jun-00 Hand Calculate Results
                 Refer to verification calculations
                 Changed Fr to mid radius (was set to ID)
                 Added Commentary
                 Cells Locked
        8-Aug-00 Copied from F&D head spreadsheet
                 Removed M factor and drawing section
                 Changed Commentary
                 Changed Calculation sheet and Volume Sheet Formulas
        9-Aug-00 Hand verification calculation - sample from ASME VIII L-2.3.3
                 Cells Locked - Pasword = "100"
                 Volume calculation has not been verified
        2-Oct-00 Changed to A2000 Format
                 A2000 print macro
                 A2000 Legal Statement
                 All Calculations on one page suitable for moving and renaming tabs
                 Version number assigned = Ver 1.1
                 Thickness for reinforcment changed to required thickness at E=1
                 Cells Locked - Password = "100"
       24-Oct-00 Fiber elongation set to 100%
                 Rf calculations removed

				
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Description: Toriconical Head Calculation - Formulated sheet ready to use
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