Page 145 - Pressure Vessel Design Manual
P. 145

2   3   4  567891     2   3   4  5  67891    2   3   4  5  67891.  _I\   2   3   4  5  67891


                                                                                                                                                          w
                                                                                                                                                          0  -
                                                                                                                                                          ".
                                                                                                                               General formula for cantilever
                                                                                                                                                          0
                                                                                                                                                          I
                                                                                                                               which for steel cylidrical shell   2
                                                                                                                               reduces to                 S
                                                                                                                               T = 0.00000765(~~~

                                                                                                                               where  T = period, sec
                                                                                                                                    w = weight, Ib per ft
                                                                                                                                    H = height, ft
                                                                                                                                    D I diameter of shell, ft
                                                                                                                                     t  I thickness of shell, ft
                                                                                                                               Constant 0.00000765 is based upon:
                                                                                                                               E = modulus of  elasticity of steel -
                                                                                                                                 30,000,000 Ib per sq in
                                                                                                                               I =moment of inertia of shell area
                                                                                                                                = 3.142 (9)
                                                                                                                                        3
                                                                                                                                         t
                                                                                                                               K = 1.79 for fundamental period
                                                                                                                                 of vibration
                                                                                                                               g = 32.2 ft per sec2







                            1,000               Fiw 3-9.  Period of vibration forl@'$!8drical  steel   11s.  Reprintebw@?rmission of  Fluor Daniel,lW!d!%he,   CA.
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