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]

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

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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