Calculate the angles that the normal vector of plane

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Reference no: EM132453977

Suppose that there are two fault planes under the same differential stress (Similar a1 and a3 ), both of which are parallel to a2. We know the shear and normal stresses on the planes as following:
Plane#1 a, = 100 Mpa = 65 Mpa
Planet12 cr, = 362.5 Mpa a, = 40 Mpa

Question 1: Calculate a1 and a3 using Mohr diagram formulas for shear and normal stress.

Question 2: Calculate the angles that the normal vector of plane#1 and plane #2 make with al

Question 3: Calculate the dip of each plane

Question 4: Draw the Mohr diagram and show the point corresponding to each fault -Show graphically that your results are accurate enough.

Hint: Knowing that the principle stresses on both planes are equal, we can say that their Mohr circles will be the same.

You have to show your work step by step in a clean procedure by using the Word Equation tool to get the complete points for this quiz. ---No handwritten solution will be accepted. All your mathematical works should be typed by the equation tool.

Your answers must be close to a1 = 368.25 Mpa a3 = 84.24 Mpa

Reference no: EM132453977

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