A simply supported circular steel plate of diameter 1 m and thickness 50 mm is subject to an increase in pressure of 0.5 bar above atmospheric. Given that the density of steel is 7750 kg/m³, calculate the total deflection at the plate center due to the pressure and its weight. What is the maximum tensile stress in the plate and the safe pressure when the deflection is restricted to 0.1 mm? Take E = 207 GPa and v 0.27. Note: the maximum deflection of a simply supported circular plate with radius r, and thickness t that is subjected to a distributed load q is: 3qr (5 + v)(1 – v) Wmax 16ET3

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A simply supported circular steel plate of diameter 1 m and thickness 50 mm is subject to an
increase in pressure of 0.5 bar above atmospheric. Given that the density of steel is 7750 kg/m³,
calculate the total deflection at the plate center due to the pressure and its weight. What is the
maximum tensile stress in the plate and the safe pressure when the deflection is restricted to 0.1
mm? Take E = 207 GPa and v = 0.27.
Note: the maximum deflection of a simply supported circular plate with radius r, and thickness t
that is subjected to a distributed load q is:
3qr.
Wmax =
(5 + v)(1 – v)
16ET3
Transcribed Image Text:A simply supported circular steel plate of diameter 1 m and thickness 50 mm is subject to an increase in pressure of 0.5 bar above atmospheric. Given that the density of steel is 7750 kg/m³, calculate the total deflection at the plate center due to the pressure and its weight. What is the maximum tensile stress in the plate and the safe pressure when the deflection is restricted to 0.1 mm? Take E = 207 GPa and v = 0.27. Note: the maximum deflection of a simply supported circular plate with radius r, and thickness t that is subjected to a distributed load q is: 3qr. Wmax = (5 + v)(1 – v) 16ET3
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