Page 160 - Rotating Machinery Pratical Solutions to Unbalance and Misalignment
P. 160

Rotating Machinery: Practical Solutions

                 Since the rim readings are all in the horizontal plane, no
            compensation for bar sag is required. Zero the indicator on one
            surface, such as the 1-2 side and take a reading on the opposite
            side, 180 degrees away. Set the dial indicator to 1/2 its reading
            and move the motor until the indicator reads zero. Repeat this
            process for the side 90 degrees from the initial side, the 2-3 side.
                 Check the final alignment by repeating the readings to assure
            the motor is centered over the pump.



            THE CATENARY


                 Some long shafts may exhibit deflection due to their own
            weight, or in combination with the weight of a mounted compo-
            nent that can affect the alignment process. Perhaps the best way to
            demonstrate the potential effect is through examples.

            Example 8-5
                 A large roller is made of steel and is 6 inches in diameter. It
            is supported by two bearings that are 12 feet apart. How much
            will the center of the shaft sag? How much angular deflection will
            be present at the end of the shaft?


            Step 1. Steel weighs approximately 480 pounds per cubic foot, so
            the weight of the portion of the shaft between the bearings is its
            volume times the density W = V × d or W = L × A × d = (12 × π
                 2
            × (.5) /4) × 480 or approximately 1,131 pounds.

            Step 2. The deflection for a solid shaft is:

                          3
                 dx = 5wL /384EI                                        (8.7)







                   Figure 8-25. A Shaft Deflecting Under its Own Weight
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