Slide 1

Circular Plates
 Moments

acting on an element of a
deformed circular plate.

Circular plates

Circular plates

Circular Plates
 Uniform

Pressure, Edges clamped

 Uniform

pressure, Edges simply supported

Circular Plates
 Point

load, Edges clamped

 Point

load, Edges simply supported

Circular plates
A circular plate 120mm diameter and 10mm thick is
constructed from steel E = 208GN/m2 and  = 0.3. The
plate is subjected to a pressure of 5 MN/m2 on one side.
Determine:
(a) the maximum deflection clamped at the edges
(b) the maximum deflection simply supported at the edges.
(c) The maximum radial stress (a)

Circular plate with central piston
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.
E = 208 GN/m2
 = 0.3
[0.0035mm]

Standard load cases

Standard load cases
 Standard

load case coefficients k1, k2

Circular Plates
 Summary

stresses

of Maximum deflections and


Slide 2

Circular Plates
 Moments

acting on an element of a
deformed circular plate.

Circular plates

Circular plates

Circular Plates
 Uniform

Pressure, Edges clamped

 Uniform

pressure, Edges simply supported

Circular Plates
 Point

load, Edges clamped

 Point

load, Edges simply supported

Circular plates
A circular plate 120mm diameter and 10mm thick is
constructed from steel E = 208GN/m2 and  = 0.3. The
plate is subjected to a pressure of 5 MN/m2 on one side.
Determine:
(a) the maximum deflection clamped at the edges
(b) the maximum deflection simply supported at the edges.
(c) The maximum radial stress (a)

Circular plate with central piston
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.
E = 208 GN/m2
 = 0.3
[0.0035mm]

Standard load cases

Standard load cases
 Standard

load case coefficients k1, k2

Circular Plates
 Summary

stresses

of Maximum deflections and


Slide 3

Circular Plates
 Moments

acting on an element of a
deformed circular plate.

Circular plates

Circular plates

Circular Plates
 Uniform

Pressure, Edges clamped

 Uniform

pressure, Edges simply supported

Circular Plates
 Point

load, Edges clamped

 Point

load, Edges simply supported

Circular plates
A circular plate 120mm diameter and 10mm thick is
constructed from steel E = 208GN/m2 and  = 0.3. The
plate is subjected to a pressure of 5 MN/m2 on one side.
Determine:
(a) the maximum deflection clamped at the edges
(b) the maximum deflection simply supported at the edges.
(c) The maximum radial stress (a)

Circular plate with central piston
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.
E = 208 GN/m2
 = 0.3
[0.0035mm]

Standard load cases

Standard load cases
 Standard

load case coefficients k1, k2

Circular Plates
 Summary

stresses

of Maximum deflections and


Slide 4

Circular Plates
 Moments

acting on an element of a
deformed circular plate.

Circular plates

Circular plates

Circular Plates
 Uniform

Pressure, Edges clamped

 Uniform

pressure, Edges simply supported

Circular Plates
 Point

load, Edges clamped

 Point

load, Edges simply supported

Circular plates
A circular plate 120mm diameter and 10mm thick is
constructed from steel E = 208GN/m2 and  = 0.3. The
plate is subjected to a pressure of 5 MN/m2 on one side.
Determine:
(a) the maximum deflection clamped at the edges
(b) the maximum deflection simply supported at the edges.
(c) The maximum radial stress (a)

Circular plate with central piston
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.
E = 208 GN/m2
 = 0.3
[0.0035mm]

Standard load cases

Standard load cases
 Standard

load case coefficients k1, k2

Circular Plates
 Summary

stresses

of Maximum deflections and


Slide 5

Circular Plates
 Moments

acting on an element of a
deformed circular plate.

Circular plates

Circular plates

Circular Plates
 Uniform

Pressure, Edges clamped

 Uniform

pressure, Edges simply supported

Circular Plates
 Point

load, Edges clamped

 Point

load, Edges simply supported

Circular plates
A circular plate 120mm diameter and 10mm thick is
constructed from steel E = 208GN/m2 and  = 0.3. The
plate is subjected to a pressure of 5 MN/m2 on one side.
Determine:
(a) the maximum deflection clamped at the edges
(b) the maximum deflection simply supported at the edges.
(c) The maximum radial stress (a)

Circular plate with central piston
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.
E = 208 GN/m2
 = 0.3
[0.0035mm]

Standard load cases

Standard load cases
 Standard

load case coefficients k1, k2

Circular Plates
 Summary

stresses

of Maximum deflections and


Slide 6

Circular Plates
 Moments

acting on an element of a
deformed circular plate.

Circular plates

Circular plates

Circular Plates
 Uniform

Pressure, Edges clamped

 Uniform

pressure, Edges simply supported

Circular Plates
 Point

load, Edges clamped

 Point

load, Edges simply supported

Circular plates
A circular plate 120mm diameter and 10mm thick is
constructed from steel E = 208GN/m2 and  = 0.3. The
plate is subjected to a pressure of 5 MN/m2 on one side.
Determine:
(a) the maximum deflection clamped at the edges
(b) the maximum deflection simply supported at the edges.
(c) The maximum radial stress (a)

Circular plate with central piston
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.
E = 208 GN/m2
 = 0.3
[0.0035mm]

Standard load cases

Standard load cases
 Standard

load case coefficients k1, k2

Circular Plates
 Summary

stresses

of Maximum deflections and


Slide 7

Circular Plates
 Moments

acting on an element of a
deformed circular plate.

Circular plates

Circular plates

Circular Plates
 Uniform

Pressure, Edges clamped

 Uniform

pressure, Edges simply supported

Circular Plates
 Point

load, Edges clamped

 Point

load, Edges simply supported

Circular plates
A circular plate 120mm diameter and 10mm thick is
constructed from steel E = 208GN/m2 and  = 0.3. The
plate is subjected to a pressure of 5 MN/m2 on one side.
Determine:
(a) the maximum deflection clamped at the edges
(b) the maximum deflection simply supported at the edges.
(c) The maximum radial stress (a)

Circular plate with central piston
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.
E = 208 GN/m2
 = 0.3
[0.0035mm]

Standard load cases

Standard load cases
 Standard

load case coefficients k1, k2

Circular Plates
 Summary

stresses

of Maximum deflections and


Slide 8

Circular Plates
 Moments

acting on an element of a
deformed circular plate.

Circular plates

Circular plates

Circular Plates
 Uniform

Pressure, Edges clamped

 Uniform

pressure, Edges simply supported

Circular Plates
 Point

load, Edges clamped

 Point

load, Edges simply supported

Circular plates
A circular plate 120mm diameter and 10mm thick is
constructed from steel E = 208GN/m2 and  = 0.3. The
plate is subjected to a pressure of 5 MN/m2 on one side.
Determine:
(a) the maximum deflection clamped at the edges
(b) the maximum deflection simply supported at the edges.
(c) The maximum radial stress (a)

Circular plate with central piston
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.
E = 208 GN/m2
 = 0.3
[0.0035mm]

Standard load cases

Standard load cases
 Standard

load case coefficients k1, k2

Circular Plates
 Summary

stresses

of Maximum deflections and


Slide 9

Circular Plates
 Moments

acting on an element of a
deformed circular plate.

Circular plates

Circular plates

Circular Plates
 Uniform

Pressure, Edges clamped

 Uniform

pressure, Edges simply supported

Circular Plates
 Point

load, Edges clamped

 Point

load, Edges simply supported

Circular plates
A circular plate 120mm diameter and 10mm thick is
constructed from steel E = 208GN/m2 and  = 0.3. The
plate is subjected to a pressure of 5 MN/m2 on one side.
Determine:
(a) the maximum deflection clamped at the edges
(b) the maximum deflection simply supported at the edges.
(c) The maximum radial stress (a)

Circular plate with central piston
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.
E = 208 GN/m2
 = 0.3
[0.0035mm]

Standard load cases

Standard load cases
 Standard

load case coefficients k1, k2

Circular Plates
 Summary

stresses

of Maximum deflections and


Slide 10

Circular Plates
 Moments

acting on an element of a
deformed circular plate.

Circular plates

Circular plates

Circular Plates
 Uniform

Pressure, Edges clamped

 Uniform

pressure, Edges simply supported

Circular Plates
 Point

load, Edges clamped

 Point

load, Edges simply supported

Circular plates
A circular plate 120mm diameter and 10mm thick is
constructed from steel E = 208GN/m2 and  = 0.3. The
plate is subjected to a pressure of 5 MN/m2 on one side.
Determine:
(a) the maximum deflection clamped at the edges
(b) the maximum deflection simply supported at the edges.
(c) The maximum radial stress (a)

Circular plate with central piston
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.
E = 208 GN/m2
 = 0.3
[0.0035mm]

Standard load cases

Standard load cases
 Standard

load case coefficients k1, k2

Circular Plates
 Summary

stresses

of Maximum deflections and