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1.66. The stresses (in megapascals) with respect to an x, y, z coordinate system are described by o, = x? + y, o, = y - 5, o: = -x + 6y + z Tay = T = 7 = 0 At point (3, 1, 5), determine (a) the stress components with respect to x', y', z' if V3 V3 4 = 1, m2 = , n2 and (b) the stress components with respect to ", y", z" if 4 = 2/V5, m, = -1/V5, and n, = 1. Show that the quantities given by Eq. (1.29) are invariant under the transformations (a) and (b). %3D

1.66. The stresses (in megapascals) with respect to an x, y, z coordinate system are described by o, = x? + y, o, = y - 5, o: = -x + 6y + z Tay = T = 7 = 0 At point (3, 1, 5), determine (a) the stress components with respect to x', y', z' if V3 V3 4 = 1, m2 = , n2 and (b) the stress components with respect to ", y", z" if 4 = 2/V5, m, = -1/V5, and n, = 1. Show that the quantities given by Eq. (1.29) are invariant under the transformations (a) and (b). %3D

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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Hello, the question I have attached is on the book "Advanced Mechanics of Materials and Applied Elasticity, 5th edition, Ansel Ugural". The question is in the first chapter, 66th question. I will be glad to be answered, thanks a lot!

1.66. The stresses (in megapascals) with respect to an x, y, z coordinate system are described by o, = x? + y, o, = y - 5, o: = -x + 6y + z Tay = T = 7 = 0 At point (3, 1, 5), determine (a) the stress components with respect to x', y', z' if V3 V3 4 = 1, m2 = , n2 and (b) the stress components with respect to ", y", z" if 4 = 2/V5, m, = -1/V5, and n, = 1. Show that the quantities given by Eq. (1.29) are invariant under the transformations (a) and (b). %3D
Transcribed Image Text:1.66. The stresses (in megapascals) with respect to an x, y, z coordinate system are described by o, = x? + y, o, = y - 5, o: = -x + 6y + z Tay = T = 7 = 0 At point (3, 1, 5), determine (a) the stress components with respect to x', y', z' if V3 V3 4 = 1, m2 = , n2 and (b) the stress components with respect to ", y", z" if 4 = 2/V5, m, = -1/V5, and n, = 1. Show that the quantities given by Eq. (1.29) are invariant under the transformations (a) and (b). %3D
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