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A house is built on the top of a hill with a 42° slope. Subsequent slumping of material on the slope surface indicates that the slope gradient should be reduced. If the coefficient of friction of soil on soil is 0.55, through what additional angle ¢ (see Fig) should the slope surface be regraded?

A house is built on the top of a hill with a 42° slope. Subsequent slumping of material on the slope surface indicates that the slope gradient should be reduced. If the coefficient of friction of soil on soil is 0.55, through what additional angle ¢ (see Fig) should the slope surface be regraded?

Grade:upto college level

1 Answers

Navjyot Kalra
askIITians Faculty 654 Points
8 years ago
232-1954_1.PNG
Therefore, the angle of inclination of slope at which the soil will be in equilibrium is 28.8°.
The additional angle ? by which the slope surface is to be regarded is:
? = 42°
Substitute θ = 28.8° in the equation above,
?= 42° − 28.8°
= 13.2°
Therefore the additional angle by which the slope surface is to be regarded is 13.2° .


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