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Circular Plates Circular Plates Moments acting on an element of a Moments acting on an element of a deformed circular plate. deformed circular plate.

Circular Plates Moments acting on an element of a deformed circular plate. Moments acting on an element of a deformed circular plate

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Page 1: Circular Plates Moments acting on an element of a deformed circular plate. Moments acting on an element of a deformed circular plate

Circular PlatesCircular Plates

Moments acting on an element of a Moments acting on an element of a deformed circular plate.deformed circular plate.

Page 2: Circular Plates Moments acting on an element of a deformed circular plate. Moments acting on an element of a deformed circular plate

Circular platesCircular plates

Page 3: Circular Plates Moments acting on an element of a deformed circular plate. Moments acting on an element of a deformed circular plate

Circular platesCircular plates

Page 4: Circular Plates Moments acting on an element of a deformed circular plate. Moments acting on an element of a deformed circular plate

Circular PlatesCircular Plates

Uniform Pressure, Edges clampedUniform Pressure, Edges clamped

Uniform pressure, Edges simply supportedUniform pressure, Edges simply supported

Page 5: Circular Plates Moments acting on an element of a deformed circular plate. Moments acting on an element of a deformed circular plate

Circular PlatesCircular PlatesPoint load, Edges clampedPoint load, Edges clamped

Point load, Edges simply supportedPoint load, Edges simply supported

Page 6: Circular Plates Moments acting on an element of a deformed circular plate. Moments acting on an element of a deformed circular plate

Circular platesCircular plates

A circular plate 120mm diameter and 10mm thick is A circular plate 120mm diameter and 10mm thick is constructed from steel E = 208GN/mconstructed from steel E = 208GN/m22 and and = 0.3. The = 0.3. The plate is subjected to a pressure of 5 MN/mplate is subjected to a pressure of 5 MN/m22 on one side. on one side. Determine:Determine:(a)   the maximum deflection clamped at the edges(b)   the maximum deflection simply supported at the edges.(c)   The maximum radial stress (a)

Page 7: Circular Plates Moments acting on an element of a deformed circular plate. Moments acting on an element of a deformed circular plate

Circular plate with central pistonCircular plate with central pistonA circular dish 150mm in diameter and 12mm thickness is clamped around the periphery and built into a piston of diameter 60mm at the A circular dish 150mm in diameter and 12mm thickness is clamped around the periphery and built into a piston of diameter 60mm at the

centre, assuming that the piston remains rigid determine the maximum deflection of the disk when the piston carries a load of 5kN.centre, assuming that the piston remains rigid determine the maximum deflection of the disk when the piston carries a load of 5kN.E = 208 GN/mE = 208 GN/m22

= 0.3= 0.3 [0.0035mm][0.0035mm]

Page 8: Circular Plates Moments acting on an element of a deformed circular plate. Moments acting on an element of a deformed circular plate

Standard load casesStandard load cases

Page 9: Circular Plates Moments acting on an element of a deformed circular plate. Moments acting on an element of a deformed circular plate

Standard load casesStandard load cases

Standard load case coefficients kStandard load case coefficients k11, k, k22

Page 10: Circular Plates Moments acting on an element of a deformed circular plate. Moments acting on an element of a deformed circular plate

Summary of Maximum deflections and Summary of Maximum deflections and stressesstresses

Circular PlatesCircular Plates