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)
8-7
Alignment Pitfalls
Alignment Pitfalls
Some pitfalls to good alignment are:
• Improperly or not correcting for soft foot
• Thermal growth
• Excessive shaft play or radial clearances
• Bent shafts
• Damaged bearings
• Torsional play
Chapter 8 Page 7 Friday, January 26, 2001 10:34 AM