The closed thin-walled tank has an inner radius of r and wall thickness t and contains a gas of pressure of p. The state of stress at point "a" on the surface of the tank is represented by stress components with an unknown stress element rotation angle of 0. Note that, the two normal stress components for x'y' system (note: not xy system!) are known: ox, = 120 MPa and Oyi = 180 MPa, but the shear stress component (T,) is unknown. Determine: (1) the principal stresses at point a ; (2) Tx'y ; (3) rotation angle of 0.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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The closed thin-walled tank has an inner radius of r and wall thickness t and contains a gas
of pressure of p. The state of stress at point "a" on the surface of the tank is represented by
stress components with an unknown stress element rotation angle of 0. Note that, the two
normal stress components for x'y' system (note: not xy system!) are known: ox, = 120 MPa
and Oy
= 180 MPa, but the shear stress component (T,) is unknown. Determine:
(1) the principal stresses at point a ;
(2) Tx'yı ;
(3) rotation angle of 0 .
y
180 MPa
120 MPа х
0 = ?
a
Tyy = ?
tank cross section
stress state at point a
Transcribed Image Text:The closed thin-walled tank has an inner radius of r and wall thickness t and contains a gas of pressure of p. The state of stress at point "a" on the surface of the tank is represented by stress components with an unknown stress element rotation angle of 0. Note that, the two normal stress components for x'y' system (note: not xy system!) are known: ox, = 120 MPa and Oy = 180 MPa, but the shear stress component (T,) is unknown. Determine: (1) the principal stresses at point a ; (2) Tx'yı ; (3) rotation angle of 0 . y 180 MPa 120 MPа х 0 = ? a Tyy = ? tank cross section stress state at point a
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