Page 105 - Pressure Vessel Design Manual
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86    Pressure Vessel Design Manual

                                                         Table 2-13
                                            Comparison of  "Local Buckling" Stress Equations
                                                                    Example
           leference                  Formula, ac,                                     Parameters for Example In Table 2-13
           Aichielson                  0.194E (&)               15,789      5263        t = 0.25 in.
           1948) (1)
                                                                       1                E = 29.5 x lo6 Dsi
           (irste (1954) (1)                                    15,219      5073
                                       0.187E(&)
                                                             ----                      R.  = 90in
           (empner                                              14.812      4938
           1954) (1)                   0.182E(&)
                                                                                       Do  = 180 in
           ='ogorelov                                           13,022      4341
            1967) (1)                  0.160E($)
                                                                                       Fv = 36 KSI
           4lcoa (1950) (1)                                     12.880      4293
                                     34,700 - 11 50E                                    L = 90R

                                                                 NA         5041
                                                                                        I = xR$t  = 570.173in.4

           Timoshenko (1936) (1)                                48,833     16,278       A=2nRmt=141.18in2
                                        0.6E(&)
                                                                           ~~
           AIS1 (Planiema) (1)(2)                               14.365      4788
                                         + O.399Fy
                                       DO
                                                                            ~
                                                                 8112       4056        A=--  (0.12%)  [0.125(0.25)]  -  o,ooo347
           Baker (3)                                                                        90     90
                                                                           ~
                                                              1l.llOor 9870   6580      B = From Fig. CS-2 = 5000 psi
           Wilson-Newmark (1933)
           (4)
                                                                 NA         NA         Do  = !?! = 0.00139
                                                                                           180
           Marks Handbook                                                              Do   180
                                                                                       _=--
           (Donnell 1934)                                        NA         5737        t   0.25-720
                                             0.56tE
                                  1<0.00425   ___
                                  D-        D(1 +y)
                                                                                          0-25
                                                                                             =
                                                                                       I 0.00278
                                                                                         =
                                                                                       R,   90
                                             (0.6tE)             NA         5738
                                   F,  c 30KSI   ~
                                            D(l +y)                                     R,   90
                                                                                       _=_=   360
           Fluor (3)                                                                    t   0.25
                                                                 NA         4945
                                   Fv z 30KSI   3558(;)KSl
                                                                                        L   1080-6
                                                                                        Do   180
           ASME Factor "B" (3)   A=- 0'125t                      NA         5000
                                   R.3   B  = from applicable curve                     - = 12
                                                                                        L
                                                                                        RO
           Von Karmen-Tsien                                     15,979      5326
           (1941)                      0.195E(&)
                                                                                        R. = 0.0833
                                                                                        L
           AWWA D-100                                            NA         6744
                              L
                               < 25
                                                                                        L  1080 -17
                                                                                        _=_-
                                                                                         r   63.55
           Notes for Table 2-13:
           1. Uses a 3:l safety factor.
           2. Equation valid for values as follows:
           3. Uses a 2:l safely factor.
           4. Uses a 1.51 safely factor.
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