If both the major and minor principal stresses for a soil element are known, as well as the strength parameters c'and o': A) Derive the formula that gives the orientation (the angle 0) of the theoretical failure plane. Hint: for the diagram below, assume 0₁ is acting in the vertical direction on the soil element (typical case) - i.e. the orientation of the failure plane with be measured on the Mohr's Circle from the Pole (which will be at 03). Remember a useful property of circles in terms of angles... Ko $' 03 01 0 B) Relate your answer from Part A to the failure plane assumed in Rankine's Active Earth Pressure. You can show this relationship with a simple sketch.
If both the major and minor principal stresses for a soil element are known, as well as the strength parameters c'and o': A) Derive the formula that gives the orientation (the angle 0) of the theoretical failure plane. Hint: for the diagram below, assume 0₁ is acting in the vertical direction on the soil element (typical case) - i.e. the orientation of the failure plane with be measured on the Mohr's Circle from the Pole (which will be at 03). Remember a useful property of circles in terms of angles... Ko $' 03 01 0 B) Relate your answer from Part A to the failure plane assumed in Rankine's Active Earth Pressure. You can show this relationship with a simple sketch.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:If both the major and minor principal stresses for a soil element are known, as well as the strength
parameters c'and o':
A) Derive the formula that gives the orientation (the angle 0) of the theoretical failure plane. Hint:
for the diagram below, assume 0₁ is acting in the vertical direction on the soil element (typical
case) - i.e. the orientation of the failure plane with be measured on the Mohr's Circle from the
Pole (which will be at 03). Remember a useful property of circles in terms of angles...
Øs
03
01
B) Relate your answer from Part A to the failure plane assumed in Rankine's Active Earth Pressure.
You can show this relationship with a simple sketch.
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