At a certain point of a body, the components of the cauchy stress tensor are given by [2 5 37 [0] = |5 1 4 3 4 3 a) Find the components of cauchy traction vector tn at the point on the plane whose normal has direction (3, 1, -2). b) Find the normal and shear commponents of tn on that point.

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter6: Some Methods In The Calculus Of Variations
Section: Chapter Questions
Problem 6.15P
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This question is in the Introduction to elasticity course
Exercise 1
At a certain point of a body, the components of the cauchy stress tensor are
given by
[2 5 3
[o]
5 1 4
3 4 3
a) Find the components of cauchy traction vector tn at the point on the
plane whose normal has direction (3, 1, –2).
b) Find the normal and shear commponents of tn on that point.
Transcribed Image Text:Exercise 1 At a certain point of a body, the components of the cauchy stress tensor are given by [2 5 3 [o] 5 1 4 3 4 3 a) Find the components of cauchy traction vector tn at the point on the plane whose normal has direction (3, 1, –2). b) Find the normal and shear commponents of tn on that point.
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