GATE CE 2014 Set 2 — Question 47
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Geotechnical Engineering → Stability of Slopes → Infinite Slopes
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Question
An infinitely long slope is made up of a soil having the properties: cohesion kPa, and dry unit weight kN/m. The angle of inclination and critical height of the slope are and m, respectively. To maintain the limiting equilibrium, the angle of internal friction of the soil (in degrees) is _________________
Correct answer
21 to 23
Solution
For an infinitely long slope in soil, the critical height () is given by the formula:Where:
- is the cohesion kPa
- is the dry unit weight kN/m
- is the angle of inclination
- is the critical height m
- is the angle of internal friction
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