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For the state of stress shown, it is known that the normal and shearing stresses are directed as shown and that σx = 14 ksi, σy = 9 ksi, and σmin = 5 ksi. a) Determine the orientation of the principal planes. (Round the final answers to one decimal place.) b) Determine the principal stress σmax and the maximum in-plane shearing stress in ksi. (Round the final answers to two decimal places.) c) On paper, show the properly oriented elements representing: i) the principal planes, and ii) the planes of maximum shear stress.

For the state of stress shown, it is known that the normal and shearing stresses are directed as shown and that σx = 14 ksi, σy = 9 ksi, and σmin = 5 ksi. a) Determine the orientation of the principal planes. (Round the final answers to one decimal place.) b) Determine the principal stress σmax and the maximum in-plane shearing stress in ksi. (Round the final answers to two decimal places.) c) On paper, show the properly oriented elements representing: i) the principal planes, and ii) the planes of maximum shear stress.

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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For the state of stress shown, it is known that the normal and shearing stresses are directed as shown and that σx = 14 ksi, σy = 9 ksi, and σmin = 5 ksi.

a) Determine the orientation of the principal planes. (Round the final answers to one decimal place.)

b) Determine the principal stress σmax and the maximum in-plane shearing stress in ksi. (Round the final answers to two decimal places.)

c) On paper, show the properly oriented elements representing: i) the principal planes, and ii) the planes of maximum shear stress. 

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