State of stress at the wall and the roof of the following circular opening bafore the excavation is y W A 4 0 0 [a] = 0 4 0 MPa a. Find the induced stress components at point W with respect to the given x-y coordinate system, and expresst them in the matrix form. b. Find the total stresses at point W, and give them in matrix form. c. Repeat (a) and (b) for the roof. d. Find the stresses x, y, and txy at point A which is located at a radial distance twice the radius of the tunnel.

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 7.2.27P: -27 A square plate with side dimension of 2 in. is subjected to compressive stress a and tensile...
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State of stress at the wall and the roof of the following circular opening
bafore the excavation is
(a] = |0
4.
Find the induced stress components at point
a.
R
W with respect to the given x-y coordinate
systerm, and expresst them in the matrix
form.
b. Find the total stresses at point W, and give
them in matrix form.
c. Repeat (a) and (b) for the roof.
d. Find the stresses oy, Ciy, and tyy at point A
which is located at a radial distance twice
the radius of the tunnel.
Transcribed Image Text:State of stress at the wall and the roof of the following circular opening bafore the excavation is (a] = |0 4. Find the induced stress components at point a. R W with respect to the given x-y coordinate systerm, and expresst them in the matrix form. b. Find the total stresses at point W, and give them in matrix form. c. Repeat (a) and (b) for the roof. d. Find the stresses oy, Ciy, and tyy at point A which is located at a radial distance twice the radius of the tunnel.
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