Problem 4A thin-walled cylindrical pressure vessel has an internal diameter of d = 2 m and a wall thicknessof t = 20 mm. The pressure vessel is subjected to an internal gauge pressure of p = 1.5 N/mm² andan axial tensile force of T = 2500 kN.Ta) Calculate the principal stresses, σ₁ and ₂, in the pressure vessel.b) Sketch Mohr's circle for the pressure vessel and label 0₁, 02, and the maximum shear stress,Tmax·c) Calculate the maximum shear stress, Tmax, and indicate its orientation relative to thelongitudinal axis of the cylinder.d) Use Mohr's circle to calculate the stresses in an element that is oriented at 30° counter-clockwise from the longitudinal axis of the cylinder.

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Answered: Problem 4 A thin-walled cylindrical…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Problem 4
A thin-walled cylindrical pressure vessel has an internal diameter of d = 2 m and a wall thickness
of t = 20 mm. The pressure vessel is subjected to an internal gauge pressure of p = 1.5 N/mm² and
an axial tensile force of T = 2500 kN.
T
a) Calculate the principal stresses, σ₁ and ₂, in the pressure vessel.
b) Sketch Mohr's circle for the pressure vessel and label 0₁, 02, and the maximum shear stress,
Tmax·
c) Calculate the maximum shear stress, Tmax, and indicate its orientation relative to the
longitudinal axis of the cylinder.
d) Use Mohr's circle to calculate the stresses in an element that is oriented at 30° counter-
clockwise from the longitudinal axis of the cylinder.

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What are the equation used for part a)? for the axial stress, why do we not use Axial Stress = Pr/(2t)? Also, the math for the pricipal stresses is incorrect.

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