|
This calculates the delfection of the outer race of a bearing when it is pressed into a housing. |
|
|
|
|
|
These equations are from Shigley and Mischke “Mechanical Engineering Design” Fifth Ediion p.62-63 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Bearing |
|
|
Housing |
|
|
Modulus of Elasticity of Inner component (Ei) |
30000000 |
|
Modulus of Elasticity of Outer component (Eo) |
10300000 |
|
Inner Radius of Inner Component (land radius)(ri) |
0.1705 |
|
Outer Radius of Outer Component (ro) |
0.3 |
|
Poisson’s Ratio of Inner Component (vi) |
0.292 |
|
Poission’s Ratio of Outer Component (vo) |
0.334 |
|
|
|
|
|
|
|
Radius at Press (interface) (R) |
0.1875 |
|
|
|
|
Radial Press (d) |
0.0003 |
|
|
|
|
|
|
|
|
|
|
Results |
|
|
|
|
|
Resulting Pressure (p) |
2599.55178212877 |
|
|
|
|
Increase in Housing Outer Radius (delta ro) |
0.000123796616002366 |
|
|
|
|
Decrease in Bearing Inner Radius of OD (delta ri) |
0.000176203383997634 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Assumptions: |
|
|
|
|
|
Both members have the same length. |
|
|
|
|
|
Cross sections are uniform. |
|
|
|
|
|
Radial interference is constant around the circumference. |
|
|
|
|
