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(a) determine the maximum pressure, p, that could be carried by the tube for yielding the wall material based on the Maximum-Shear-Stress theory (Tresca). (b) Using the result of part (a), calculate the stresses in the tube wall material at both internal and external radius positions. Sketch the corresponding stress element. (c) Draw the yield locus in the principal stress space (0 versus 02) and indicate the yield stress value. Show, on the diagram, the state of the stress as calculated in part (b).

(a) determine the maximum pressure, p, that could be carried by the tube for yielding the wall material based on the Maximum-Shear-Stress theory (Tresca). (b) Using the result of part (a), calculate the stresses in the tube wall material at both internal and external radius positions. Sketch the corresponding stress element. (c) Draw the yield locus in the principal stress space (0 versus 02) and indicate the yield stress value. Show, on the diagram, the state of the stress as calculated in part (b).

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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A thick-walled tiub with internal diameter, D; = 160 mm and external diameter, Do = 320 mm is acted by the external pressure, po. The tube is made of steel with Young's modulus of 200 GPa and yield strength of 210 MPa. Considering the open-end condition; (a) determine the maximum pressure, po that could be carried by the tube for yielding the wall material based on the Maximum-Shear-Stress theory (Tresca). (b) Using the result of part (a), calculate the stresses in the tube wall material at both internal and external radius positions. Sketch the corresponding stress element. (c) Draw the yield locus in the principal stress space (o versus o2) and indicate the yield stress value. Show, on the diagram, the state of the stress as calculated in part (b).
Transcribed Image Text:A thick-walled tiub with internal diameter, D; = 160 mm and external diameter, Do = 320 mm is acted by the external pressure, po. The tube is made of steel with Young's modulus of 200 GPa and yield strength of 210 MPa. Considering the open-end condition; (a) determine the maximum pressure, po that could be carried by the tube for yielding the wall material based on the Maximum-Shear-Stress theory (Tresca). (b) Using the result of part (a), calculate the stresses in the tube wall material at both internal and external radius positions. Sketch the corresponding stress element. (c) Draw the yield locus in the principal stress space (o versus o2) and indicate the yield stress value. Show, on the diagram, the state of the stress as calculated in part (b).
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