Hard Strength of Materials Stress & Strain
How do you design interference fits considering stress, temperature, and material combinations?
Answer
Interference generates contact pressure p = δ × E/(2r³) × [(ro² - ri²)/((ro/r)² - 1 + ν) × ((ri/r)² - 1 - ν)] between hub and shaft. Maximum stress occurs at inner surface of hub (hoop tension) and outer surface of shaft (hoop compression). Temperature change for assembly: ΔT = δ/(2r×α). For dissimilar materials, differential expansion affects fit at operating temperature. Consider grip loss at elevated temperatures and verify assembly stresses don't cause yielding.
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