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Snap-Fit Joints for Plastics - A Design Guide - MIT

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Torsion <strong>Snap</strong> <strong>Joints</strong> C<br />

Deflection <strong>for</strong>ce<br />

A <strong>for</strong>ce P is required to deflect the lever arm<br />

by the amount y (1,2). The deflection <strong>for</strong>ce can<br />

act at points 1 or 2. For example see Fig. 21.<br />

In this case,<br />

P 1l 1 =P 21 2 = �GI p (x2)*<br />

r<br />

where<br />

G = shearing modulus of elasticity<br />

� = shear strain<br />

IP = polar moment of inertia<br />

= � r4<br />

; <strong>for</strong> a solid circular cross section<br />

2<br />

*Note: The factor 2 only applies where there<br />

are two torsion bars, as in Fig. 21.<br />

The shear modulus G can be determined<br />

fairly accurately from the secant modulus<br />

as follows:<br />

G=<br />

where<br />

20<br />

Es 2(1+� )<br />

ES = secant modulus<br />

� = Poisson's ratio<br />

Example of snap-fitting rocker arm (flexure and torsion about the Y axis)<br />

Page 19 of 26 <strong>Snap</strong>-<strong>Fit</strong> <strong>Joints</strong> <strong>for</strong> <strong>Plastics</strong> - A <strong>Design</strong> <strong>Guide</strong>

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