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Applied maths > Slope Stability Analysis > Flashcards

Slope Stability Analysis Flashcards

1
Q

What is the issue associated with using models in geotechnical engineering?

A

realistic simplification, rather than an exact imitation of reality, since geology and associated mechanical interactions can never be known in detail sufficient enough to allow unambiguous
representations

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2
Q

What abilities does the stability of a slope depend on?

A

Sustain load increases
Changes in environmental conditions, which may affect the geomaterials mechanically or chemically

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3
Q

What 2 steages are there to the analysis of slope stability?

A

Pre and post failure

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4
Q

Why is pre failure stability analysis undertaken?

A

applied to assess safety in a global sense to ensure
that the slope will perform as intended

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5
Q

Why is post failure stability analysis undertaken?

A

responsive to the totality of processes which led to failure

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6
Q

What are limit equillibrium methods?

A

Force and/or moment equilibrium conditions are examined on the basis of statics.
Analysis require information about material strength, but not stress- strain behaviour

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7
Q

What is the typical output for limit equillibrium method?

A

Factor of safety (FS)

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8
Q

What are the fundamental concepts of the limit equilibrium method for slope stability analysis?

A

Slip mechanism results in slope failure;
Resisting forces required to equilibrate disturbing mechanisms are from static solution
Shear resistance required for equilibrium is compared with available shear strength
Mechanism corresponding to the lowest FS is found by iteration

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9
Q

What will slip be like in isotropic materials?

A

surface tends to be circular

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10
Q

What type of material will isotropic/ circular slip be like?

A

HIghly jointed rock
Broken rock
Weathred rock, tailings or soil

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11
Q

What will slip be like with anisotropic material?

A

If ground has bedded or laminated structure with slipe tending to be elongated in direction parallel to structural feature

Mudstones, slate, schists

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12
Q

What is curvilinear slip?

A

Rotational slip

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13
Q

What will the effect on rotational slip be if a major structural feature is present?

A

If major dicontinuity, fault or clay seam in unstable area - slip surface will follow this as far as possible

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14
Q

What will slip be like in granular, low cohesion materials?

A

Granular nature with low cohesive strength curvature less marked (planar) and tension crack small/ non-existant

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15
Q

What will rotational slip be like in Inhomogenous materials?

A

presence of underlying bed of hard strong material can limit the failure extent

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16
Q

What are the assumptions of infinate slope analysis?

A

Slope face planar and of infinite length (relative to slide depth)
Failure surface // slope face
Influence of slope head and toe negligible
Vertical columns of equal dimensions through slope are identical
Groundwater table and any seepage // slope face
Soil contacts // slope face

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17
Q

What is the slide body represented as in infinite slope analysis?

A

Parrallelogram

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18
Q

What is the problem with infinte slope analysis?

A

Only consider a representative element in the slope

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19
Q

How does movement typically occur in translational landslides?

A

Planar failure surface
Often parallel to the slope

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20
Q

What might the failure plane be like for translational landslides?

A

weak bedding plane or joint surface, so the roughness of these surfaces partially controls friction

21
Q

WHat is factor of safety like for dry non-cohesive slopes?

A

independent of slide thickness and slide
density or mass

22
Q

What happens to the factor of safety if you increase the slope angle?

A

Decrease factor of safety

23
Q

What does greater contact area do to cohesive forces?

A

Greater cohesive forces resisting sliding

24
Q

What affects stability of saturated non-cohesive slopes?

A

Water increases Unit weight of soil – increases driving
forces and if pore pressures are present reduced the
effective stress
Reduces the resisting force – Makes slope more unstable

25
Q

What is Cu for short term analysis of undraine condtions?

A

Factor safety used for long term
Cu= strength of soil immediately after stress is applied and before enough groundwater flow has occurred to change void ratio e significantly

26
Q

How does Culmanns method consider slope failure?

A

For wedge type failures on steep slopes

27
Q

What does Culmanns method assume?

A

slide is planar and emerges at the toe of the slope, giving the slide a triangular or wedge shape

28
Q

What is the difficulty/ Unknown with the Culmann method?

A

Where the shear surface will develope anc ut the surface and thus the failure angle compared to slope angle

29
Q

If the shear surface is close to the slope surface what will the slide be like?

A

very thin and lacks driving weight to overcome cohesion

30
Q

If the shear surface is very far from the slope surface what will the slide be like?

A

failure plane is
gently dipping and inefficient

31
Q

WHat must be done with the Culmann metjod because the slide geometry is unknown?

A

explore a wide range of possibilities. This requires either calculus to locate the minimum FoS or iterative search

32
Q

What is the key step of the culmann method?

A

finding the geometry where the slope is least stable

33
Q

What does the FoS for the Culmann method depend on?

A

ANgle of slope
Angle (feta) of failure plane (Unknown)
Frition angle (phi)
SLope height
Volumetric weight (Yd)
Cohesion (reduced by Yd and h)

34
Q

What are U and V for the stability of a slope with water filled cracks?

A

U is the uplift force due to water pressure on the failure surface
V is horizonatal force due to water pressure in the tension crack

35
Q

What are rotational slides?

A

downward movement of soil mass occurring on a almost circular surface of rupture

36
Q

WHat features will be present from rotational slides?

A

Back scarp (arc shaped)
Blocks with back rotation (block topples back on its self)
Bulging (material forced back up due to curve)

37
Q

What are the different modes of rotational slope failure?

A

Shallow slope - small part of slope
Toe circle - failure surface emerges horizontally through toe of slope
Slope circle- emerges upwards past the toe of the slope
Midpoint circle - sldie emerges beyond the toe

38
Q

WHat is the equation for moment?

A

force * distance from pivot

39
Q

How is undrained shear strength analysed?

A

using moments

40
Q

What is the factor of safety for undrained shear strength?

A

driving moments / resising moments

41
Q

How is the driving moment calculated?

A

(weight x horizontal distance from pivot)

42
Q

How is the resisting moment calculated?

A

Undrained shear strength x curved contact area x
radius

43
Q

WHat is the idea for the method of slices for undrained shear strength?

A

For a slope to fail all the material layers in a slope need to fail

44
Q

What is needed for failure over a circular arc for the method of slices?

A

all the forces driving the failure > the sum of all
those opposing failure

45
Q

What are the 5 steps to the mthod of slices?

A

draw cross section
Select circualr fail surface
divide into circular slices
Calculate the net force at the vase of each slice
SUm all slices

46
Q

What must be considered at the base of a rotaltional slide for the method of slices?

A

Gravity will assist is resisting failure

47
Q

What are the limitations of the metjod of slices?

A

Assumes no interaction between adjacent slices
Only 1 surface explored but complete analysis requires many surfaces

48
Q

How has the spencer metod improved the methods of slices?

A

considers both normal and shear interslice side forces as well as moments

Applied maths (8 decks)

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