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10.1.2. Special case 1 - Contact of parallel cylinders

Consider the two parallel cylinders shown in Fig. 10.3(a) subjected to a contact load P producing a rectangular contact area of width 2b and length L. The contact stress distribution is indicated in Fig. 10.3(b). The elliptical pressure distribution is given by the two-dimensional version of eqn (10.1)

The total load P is then the volume of the prism i.e. P = \nbLpo (10.6)

(a) Contacting parallel cylinders

Maximum contact pressure p.

(b) Pressure (stress) distribution

(a) Contacting parallel cylinders

Maximum contact pressure p.

(b) Pressure (stress) distribution

Fig. 10.3. (a) Contact of two parallel cylinders; (b) stress distribution for contacting parallel cylinders.

and the maximum pressure or maximum compressive stress

jtbL

The contact width can be related to the geometry of the contacting surfaces as follows:-

giving the maximum compressive stress as:

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