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UNIT-II

Slope stability

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Introduction

• Why need to understand the slope failures?

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Sikkim, Gantok

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Himalayan Region

50 million cubicyards

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Indian Overall Topography

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Slopes and itsnecessity

• An exposed ground surface that stands at an angle with the horizontal is called

slope.

• construction of highway andrailway

• embankments

• earth dams

• canals.

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A

NGLE OF

R

EPOSE

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T

HE AIMS OF SLOPE STABILITY ANALYSES ARE

To understand the development and form of natural slopes and the processes responsible for different natural features.

To assess the stability of slopes under short-term (often during construction) and long-term conditions.

To assess the possibility of landslides involving natural or existing engineered slopes.

To analyze landslides and to understand failure mechanisms and the influence of environmental factors.

To enable the redesign of failed slopes and the planning and design of preventive and remedial measures, where necessary

To study the effect of seismic loadings on slopes and .

embankments. 4

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S

LOPES OF EARTH ARE OF TWO TYPES

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1. Natural slopes

- slopes exist in hilly areas

2. Man made slopes

- The sides of cuttings-

- The slopes of embankments constructed for roads railway lines, canals etc.

- The slopes of earth dams constructed for storing water.

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T

HE SLOPES WHETHER NATURAL OR ARTIFICIAL MAY BE

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1. Infinite slopes

- The term infinite slope is used to designate a constant slope of infinite extent.

Eg. The long slope of the face of a mountain

2. Finite slopes

- Finite slopes are limited in extent.

Eg. The slopes of embankments and earth dams are examples of finite slopes.

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Types of Slopes

Infinite Slopes

• They have dimensions that extend over greatdistances and the soil mass is inclined to the horizontal.

Finite Slopes

• A finite slope is one with a base and top surface, the height being limited.

• The inclined faces ofearth dams, embankments and excavation and the likeare all finite slopes.

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Types of slopes

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Types of slopes

• Natural : Formation due to geologicalfeatures of the earth

• man made: Construction activity likecutting, filling etc

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Why to understandslopes?

• Failure of natural slopes (landslides) and man-made slopes has resulted in much death and destruction.

• Civil Engineers are expected to check the safety of natural and slopes of excavation.

• Slope stability analysis consists of determining and comparing the shear stress developed along the potential rupture surface with the shear strength of the soil.

• Attention has to be paid to geology, surface drainage, groundwater, and the shear strength of soils in assessing slope stability.

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Slope Failure Triggering Mechanisms

• Intense Rain-Fall

• Water-Level Change

• Seepage WaterFlow

• Volcanic Eruption

• Earthquake Shaking

• Human activity

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Causes of Slopefailure

Erosion: The wind and flowing water causes erosion of top surface of slope and makes the slope steep and thereby increase the tangential component of driving force.

Steady Seepage: Seepage forces in the sloping direction add to gravity forces and make the slope susceptible to instability. The pore water pressure decrease the shear strength. This condition is critical for the downstream slope.

Sudden Drawdown: in this case there is reversal in the direction flow and results in instability of side slope. Due to sudden drawdown the shear stresses are more due to saturated unit weight while the

shearing resistance decreases due to pore water pressure that does not dissipate quickly.

Rainfall: Long periods of rainfall saturate, soften, and erode soils.

Water enters into existing cracks and may weaken underlying soil layers, leading to failure, for example, mud slides.

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Causes of Slope failure ….

Earthquakes: They induce dynamic shear forces.

In addition there is sudden buildup of pore water pressure that reduces available shear strength.

External Loading: Additional loads placed on top of the slope increases the gravitational forces that may cause the slope to fail.

Construction activities at the toe of the slope:

Excavation at the bottom of the sloping surface

will make the slopes steep and there by increase the

gravitational forces which may result in slope failure

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C

AUSES OF

M

ASS

M

OVEMENTS

2 0

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What is the cause of movement?

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F

ORCES THAT ACT ON EARTH SLOPES

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F

ORCES THAT ACT ON EARTH SLOPES

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Definition of KeyTerms

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• Slip or failure zone: It is a thin zone of soil that

reaches the critical state or residual state and results in movement of the upper soil mass.

• Slip plane or failure plane or slip surface or failure surface: It is the surface of sliding.

• Sliding mass: It is the mass of soil within the slip plane and the ground surface.

• Slope angle : It is the angle of inclination of a slope to the horizontal.

• The slope angle is sometimes referred to as a ratio, for

example, 2:1 (horizontal: vertical).

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Analysis of slopes : Factor ofsafety

• Factor of safety of a slope is defined as the

ratio of average shear strength (tf ) of a soil to

the average shear stress (td) developedalong

the potential failure surface.

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b cosB

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(ii) Stability of Finite Slopes

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Finite Slopes: Analysis

• A finite slope is one with a base and top surface, the height being limited.

• The inclined faces of earth dams,embankments, excavation and the like are all finiteslopes.

• Investigation of the stability of finite slopes involves the following steps

– a) assuming a possibleslip surface,

– b) studying the equilibrium of the forces acting on this surface, and

– c) Repeating the process until the worst slip surface, that is, the one with

• minimum margin of safety isfound.

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Types of failure

• Broadly slopefailures are classified into 3 types as

1. Face (Slope) failure 2. Toe failure

3. Base failure

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Face (Slope) Failure:

Face (Slope) Failure:

This type of failure occurs when the slope angle is large and when the soil at the toe portion is strong.

A

B

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ToeFailure:

In this case the failure surface passes through the toe.

This occurs when the slope is steep and homogeneous.

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Base Failure:

In this case the failure surface passes below the toe.

This generally occurs when the soil below the toe is relatively weak and soft.

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The Swedish method of slices for a cohesive – frictional (c- Ø )soil

• Adopted for general type of soil which have the combined grains of Cand Ø soils.

• For a c-

Ø

soils the undrained strength envelope shows both c and Ø values.

• The total stress analysis can beadopted.

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THANKS

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Tutorial

Problem 1

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Problem 2

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Solution

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Problem 3

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Problem 4

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Problem 5

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References

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