(a) Calculate the normal strain at this point in the direction of the vector A=e, +2e, - 2e, (Hint: The direction cosines in this direction are the components of unit vector along vector 4) (b) Considering a CCW rotation of 90° about the x, - axis, construct the transformation matrix.

(a) Calculate the normal strain at this point in the direction of the vector A=e, +2e, - 2e, (Hint: The direction cosines in this direction are the components of unit vector along vector 4) (b) Considering a CCW rotation of 90° about the x, - axis, construct the transformation matrix.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter7: Analysis Of Stress And Strain

Section: Chapter Questions

Problem 7.7.26P: - 7.2-26 The strains on the surface of an experiment al device made of pure aluminum (E = 70 GPa. v...

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Question

The tensorial strain at a particular point in a loaded medium is found to be
as follows:
1 -2 07
[6]=-2 6 0 x10*
0 1
(a) Calculate the normal strain at this point in the direction of the vector A=e, + 2e, -2e,
(Hint: The direction cosines in this direction are the components of unit vector along vector
A)
(b) Considering a CCW rotation of 90° about the x,- axis, construct the transformation
matrix.

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