The problem considered here concerns a thin annular plate having an inner clamp which provides a simple support and an outer clamp which provides either a simple support or a built-in edge. The inner clamp supports a bending moment which tends to tilt it out of plane.
A complete theoretical solution to the problem is presented for small deflections of the plate. Equations are derived for the deflections and stresses in terms of the applied bending moment, the plate geometry and the elastic constants of the plate material.
Calculated results are compared with the trends of known values for plates with eccentric inner clamps.
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References
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