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 T a) Calculate the principal stresses, 0₁ and 02, 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.
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 T a) Calculate the principal stresses, 0₁ and 02, 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.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text: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
T
a) Calculate the principal stresses, 0₁ and 02, 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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