A house is built on the top of a hill with a 42^∘ slope. Subsequent slumping of material on the

step 1 So we're going to be looking at problem 16 of chapter 5th. The question says a house is built at

A house is built on the top of a hill with a 42^∘ slope....

A house is built on the top of a hill with a $42^{\circ}$ 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 $\phi$ (see Fig. 5-33) should the slope surface be regraded?

Key Concepts

Slope Stability

This concept involves analyzing whether a slope can support itself without failure. It takes into account gravitational forces, soil strength parameters including cohesion and friction angle, and external conditions like water content. Designing safe slopes is key in geotechnical engineering to prevent landslides and related failures.

Slope Regrading

Regrading refers to the process of modifying the slope geometry to achieve a safer or more functional angle relative to the natural soil strength. By reducing the slope inclination, the risk of soil slippage is minimized, ensuring the stability of constructions or natural slopes.

Coefficient of Friction

This is a dimensionless value that represents the ratio of the force resisting motion between two contacting surfaces to the normal force pressing them together. In geotechnical and soil mechanics contexts, it describes how much resistance there is between soil particles, which is essential for assessing slope stability and potential sliding.

Friction Angle

Also known as the angle of internal friction, this is the angle whose tangent equals the coefficient of friction. It provides a measure of the shear strength derived from friction and is crucial for determining the natural limiting slope of a soil mass. In slope design, ensuring the slope does not exceed this angle helps maintain stability.

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