[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.

[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.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

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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