9.12 (a) Derive the equations for the circumferential and longitudinal stresses in a thin cylindrical shell. (b) A thin cylinder of 300 mm internal diameter, 3 m long and made from 3 mm thick metal, has its ends blanked off. Working from first principles, except that you may use the equations derived above, find the change in capacity of this cylinder when an internal fluid bressure of 20 bar is applied. E = 200 GN/m2; v= 0.3. [201 x 10-6 m³] 9.13 Show that the tensile hoop stress set up in a thin rotating ring or cylinder is given by: Hence determine the maximum angular velocity at which the disc can be rotated if the hoop stress is limited to 20 MN/m2. The ring has a mean diameter of 260 mm. [3800 rev/min]

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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9.12 (a) Derive the equations for the circumferential and longitudinal stresses in a thin
cylindrical shell.
(b) A thin cylinder of 300 mm internal diameter, 3 m long and made from 3 mm thick
metal, has its ends blanked off. Working from first principles, except that you may use
the equations derived above, find the change in capacity of this cylinder when an
internal fluid bressure of 20 bar is applied. E = 200 GN/m2; v= 0.3. [201 x 10-6 m³]
9.13 Show that the tensile hoop stress set up in a thin rotating ring or cylinder is given
by:
Hence determine the maximum angular velocity at which the disc can be rotated if the
hoop stress is limited to 20 MN/m2. The ring has a mean diameter of 260 mm.
[3800 rev/min]
Transcribed Image Text:9.12 (a) Derive the equations for the circumferential and longitudinal stresses in a thin cylindrical shell. (b) A thin cylinder of 300 mm internal diameter, 3 m long and made from 3 mm thick metal, has its ends blanked off. Working from first principles, except that you may use the equations derived above, find the change in capacity of this cylinder when an internal fluid bressure of 20 bar is applied. E = 200 GN/m2; v= 0.3. [201 x 10-6 m³] 9.13 Show that the tensile hoop stress set up in a thin rotating ring or cylinder is given by: Hence determine the maximum angular velocity at which the disc can be rotated if the hoop stress is limited to 20 MN/m2. The ring has a mean diameter of 260 mm. [3800 rev/min]
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