Unlike or, this has a maximum value when r = 0, i.e. at the centre.

E t qR2

7.6. Uniformly loaded circular plate with edges freely supported

Since the loading, and hence fundamental equation, is the same as for ยง7.4, the slope and deflection equations will be of the same form, i.e. eqns (7.21) and (7.22) will apply. Further, the constants C2 and C3 will again be zero for the same reasons as before and only one new condition to solve for the constant C\ is required.

Here we must make use of the fact that the bending moment is always zero at any free support, i.e. at r = R.

Therefore from eqn. (7.16),

0 0

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