Ln p213 [ 1 p2 21 p22 1 1 p23

• VTD Type 3 - Uniform loading and reaction at center: The substrate is deflected by a uniform load q and in reaction at its center by a force F = — na2q. The associated shearing force at current radius r is defined by the static equilibrium F + nr2q + 2nrQr = 0, thus

After substitution and integration of (2.14), the rigidity is represented by qRa2 ( r2 D = —-- constant +--» - ln r

Similarly as in the previous configurations, we select a null bending moment at the edge by taking Dr(a) = 0 in (2.11). Therefore, the constant = 1/2 (lna2 - 1), and the rigidity is

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