Page 233 - Improving Machinery Reliability
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204   Improving Machinery Reliability

                      The economic incentives of  finding ways of salvaging major rotating equipment
                    shafts are illustrated on a steam-turbine shaft originally rated to transmit  17,600 HP
                    maximum at 6,400 rpm. Several years ago, a turbine uprate to 19,600 HP was autho-
                    rized. It was determined that the required change-out of stationary steam-path com-
                    ponents would  cost around $60,000,  but  a combined replacement  cost  of  about
                    $500,000 was quoted for the main and spare rotor shafts. A rigorous calculation of
                    shaft stresses showed the shaft factor of  safety to be greater at  19,600 HP using a
                    diaphragm coupling than at 17,600 HP using a conventional gear coupling!


                    Maximum Shaft Stress Calculated
                      Efforts to determine whether or not rotating equipment power uprates require shaft
                    replacements should be preceded by shaft stress calculations. The coupling end of the
                    steam-turbine shaft used in our example had the dimensions shown in Figure 3-82.
                      For ASTM A-293 shaft material, heat  treatment  and  stabilization at  1,000"F
                    resulted in the following properties:

                      Ultimate strength in tension   but = 105,000 psi
                      Ultimate strength in shear   tUt  60,600 psi
                                                      =
                      Endurance limit in shear      tE =  30,300 psi
                      Minimum yield strength in tension  oyp =  80,000 psi
                      Minimum yield strength in shear   typ  40,000 psi
                                                      =
                      Endurance limit in tension   08 =  52,500 psi
                      Most of these properties are used in a Soderberg diagram4* similar to Figure 3-83.
                      In addition to some of the nomenclature given earlier for the shaft properties, the
                    diagram uses G,,, (steady tensile stress component), O~ (alternating tensile stress com-
                    ponent), and kf (the stress concentration factor for the particular keyway dimensions
                     shown in Figure 3-82). The stress concentration factor for our sample keyway is 2.9
                     (obtained from Figure 3-84).43




















                                    Figure 3-82. Steam-turbine shaft dimensions.
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