used in the Macaulay beam method, i.e. it may be successively integrated to determine 9, and hence y, in terms of constants of integration, and these can then be evaluated from known end conditions of the plate.

It will be noted that the expressions have been derived using cartesian coordinates (X, Y and Z). For circular plates, however, it is convenient to replace the variable x with the general radius r when the equations derived above may be re-written as follows:

d dr radial stress tangential stress moments

de 6

dr r

0 0

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