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Design Guide - Solvay Plastics

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<strong>Design</strong>ing for Assembly<br />

Interference or Press Fits<br />

One of the most economical methods that can be<br />

used to assemble two parts is a press fit. The joint is<br />

achieved by pressing or forcing the shaft into a hole<br />

whose diameter is smaller than the diameter of the shaft.<br />

The difference in diameter between the hole and shaft<br />

is referred to as the diametrical interference. The force<br />

maintaining the joint is primarily a compressive stress<br />

on the shaft resulting from the hoop stress in the hub<br />

created by the insertion of the shaft. Depending upon<br />

the relative moduli of the shaft and hub materials, the<br />

compressive stress in the shaft can also contribute to<br />

maintaining the joint. The stress holding an interference<br />

fit will exhibit relaxation over time in a manner that is<br />

analogous to creep, because the apparent modulus<br />

of the polymeric material decreases over time.<br />

Calculating the Allowable Interference<br />

The allowable interference between a shaft and a hub<br />

can be determined by using the general equation:<br />

If the shaft and hub are made from the same grade<br />

of Amodel resin, then:<br />

E h<br />

= E S<br />

= E<br />

and the interference is:<br />

I =<br />

S d<br />

E<br />

D S<br />

F+1<br />

F<br />

If the hub is made from Amodel resin and the shaft is<br />

made from metal, then the interference is:<br />

I = S d D S<br />

F<br />

F + υ h<br />

E h<br />

When a press fit is used with dissimilar materials,<br />

the differences in thermal expansion can increase or<br />

decrease the interference between two mating parts.<br />

This could increase or reduce the stress affecting<br />

joint strength.<br />

A press fit can creep or stress relax over time. This could<br />

cause a decrease in the retention force of the assembly.<br />

Therefore, testing the assembly under its expected<br />

operating conditions is highly recommended.<br />

S d<br />

D I<br />

s<br />

F + υ<br />

=<br />

h<br />

+<br />

F<br />

E h<br />

1 − υ s<br />

E s<br />

and the geometry factor is given by:<br />

2<br />

D<br />

1+<br />

S<br />

Dh<br />

F =<br />

2<br />

D<br />

1−<br />

S<br />

Dh<br />

where<br />

I = Diametrical interference<br />

S d<br />

= Working stress<br />

D h<br />

= Outside diameter of the hub<br />

D S<br />

= Diameter of the shaft<br />

E h<br />

= Modulus of the hub material<br />

E S<br />

= Modulus of the shaft material<br />

υ h<br />

= Poisson’s Ratio of the hub material<br />

υ S<br />

= Poisson’s Ratio of the shaft material<br />

F = Geometry factor<br />

<strong>Design</strong> Information<br />

Amodel ® PPA <strong>Design</strong> <strong>Guide</strong><br />

73

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