[o] = 0 -30 25 -30 25 -40 -15 MPa -15 0 (2) a. Find the traction vector (force per unit area) relative to the element of area with normal vector n par- allel to vector u, with {u} = {1, 1,0}. b. Find the stress components 032 = 023 in a new basis, such that the new basis is obtained by a CCW rotation of the old basis by a 0 = 60° about 3 axis, i.e., the rotation is only in ₁ - 2 plane.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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In the conventional vector basis {ei, e, e}, the stress tensor o at a given point is represented
by the matrix
0
[g] = -30
25
a. Find the traction vector
allel to vector u, with {u} = {1, 1,0}.
1
-30 25
-40 -15 MPa
-15 0
(2)
(force per unit area) relative to the element of area with normal vector în par-
b. Find the stress components 032 = 023 in a new basis, such that the new basis is obtained by a CCW
rotation of the old basis by a 0 = 60° about x3 axis, i.e., the rotation is only in ₁ - 2 plane.
Transcribed Image Text:In the conventional vector basis {ei, e, e}, the stress tensor o at a given point is represented by the matrix 0 [g] = -30 25 a. Find the traction vector allel to vector u, with {u} = {1, 1,0}. 1 -30 25 -40 -15 MPa -15 0 (2) (force per unit area) relative to the element of area with normal vector în par- b. Find the stress components 032 = 023 in a new basis, such that the new basis is obtained by a CCW rotation of the old basis by a 0 = 60° about x3 axis, i.e., the rotation is only in ₁ - 2 plane.
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