A stress element in a rock mass making up a slope experiences a 2D stress as follows:σx = 8 MPa, σy = 4 MPa , tauxy = 3 MPaa. Draw the Mohr circle. On Mohr's circle, mark the location of the x and y planes, mark the angle of rotation θ from the x plane to the σ₁,σ3,and taumax plane. Prove that the angle of rotation of the Mohr circle is 2 times the angle of rotation of the element.b. Write down the coordinates of the center of Mohr's circle and calculate its radius. y

given; σx=8MPaσy=4MPaτxy=3MPa

Answered: A stress element in a rock mass making…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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A stress element in a rock mass making up a slope experiences a 2D stress as follows:

σ_x = 8 MPa, σ_y = 4 MPa , tau_xy = 3 MPa

a. Draw the Mohr circle. On Mohr's circle, mark the location of the x and y planes, mark the angle of rotation θ from the x plane to the σ_₁,σ₃,and tau_max plane. Prove that the angle of rotation of the Mohr circle is 2 times the angle of rotation of the element.

b. Write down the coordinates of the center of Mohr's circle and calculate its radius.

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