Figure 1. The boiler has an inside diameter of 1800 mm and a wall thickness of 20 mm, and it is made of stainless steel with the Young's modulus E= 200 GPa, Poisson's ratio v 0.3 and yield stress oy = 350 MPa. (1) Determine the internal pressure of the boiler when the strain gauge reads 580 uɛ. (2) Determine the maximum shear strain in the boiler. (3) Determine the normal and shear stresses on the plane of 20° with the axis of the boiler. (4) According to the shear- strain energy theory, is the boiler safe? (5) Express the stresses at point O on the Mohr's circle. Strain gauge T20°

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter7: Analysis Of Stress And Strain
Section: Chapter Questions
Problem 7.7.15P: A brass plate with a modulus of elastici ty E = 16 X 106 psi and Poisson’s ratio a = 0.34 is loaded...
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A strain gauge is mounted to the outer surface of a thin-walled boiler at point O, as illustrated in
Figure 1. The boiler has an inside diameter of 1800 mm and a wall thickness of 20 mm, and it is
made of stainless steel with the Young's modulus E= 200 GPa, Poisson's ratio v= 0.3 and yield
stress dy = 350 MPa.
(1) Determine the internal pressure of the boiler when the strain gauge reads 580 µɛ.
(2) Determine the maximum shear strain in the boiler.
(3) Determine the normal and shear stresses on the plane of 20° with the axis of the boiler.
(4) According to the shear - strain energy theory, is the boiler safe?
(5) Express the stresses at point O on the Mohr's circle.
Strain gauge
O 120°
Transcribed Image Text:A strain gauge is mounted to the outer surface of a thin-walled boiler at point O, as illustrated in Figure 1. The boiler has an inside diameter of 1800 mm and a wall thickness of 20 mm, and it is made of stainless steel with the Young's modulus E= 200 GPa, Poisson's ratio v= 0.3 and yield stress dy = 350 MPa. (1) Determine the internal pressure of the boiler when the strain gauge reads 580 µɛ. (2) Determine the maximum shear strain in the boiler. (3) Determine the normal and shear stresses on the plane of 20° with the axis of the boiler. (4) According to the shear - strain energy theory, is the boiler safe? (5) Express the stresses at point O on the Mohr's circle. Strain gauge O 120°
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