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.
Welding: Principles and Applications (MindTap Course List)
8th Edition
ISBN:9781305494695
Author:Larry Jeffus
Publisher:Larry Jeffus
Chapter20: Shop Math And Weld Cost
Section: Chapter Questions
Problem 15R: What is the first step in the sequence of mathematical operations?
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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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