Second Term Checklist Flashcards
When does a vertical cut in clay fail?
When shear stress equals undrained strength
What is the stabilising force of a vertical cut in clay?
Undrained strength x area (or length) of failure surface
What is the destabilising force of a vertical cut in clay?
Weight resolved in the slope direction
What is the depth of a vertical cut at which collapse occurs?
(2 x undrained strength) / (unit weight x sin theta x cos theta
In what three ways do tension cracks affect cut stability?
Reduced length of slip surface
Change in shape of falling block
Additional destabilising force from water pressure
What is the destabilising force of a water filled tension crack?
(Crack depth squared / 2) x unit weight of water
What is the lever arm of a rotational slip?
The horizontal distance between the radial centre of the slip and the line of action of the weight
Why is the lever arm for a slice “r sin alpha” where alpha is the base inclination?
The radius is perpendicular to the base so Alpha is also the angle of the radius to the vertical. Therefore r sin alpha is the horizontal distance
In principle, what is the factor of safety for a potential translational slip?
The ratio of stabilising to destabilising shear stress
In principle, what is the factor of safety for a vertical cut?
The ratio of stabilising to destabilising forces along the failure surface
List 5 methods of slope stabilisation
Regrading (moving material from crest to toe) Retaining walls Replace weak soil Improve drainage Nails, piles & anchors
How does the safety of an undrained slope vary with time?
In embankments, outflow of water increases effective stress and hence stability.
In cuttings, outflow has the opposite effect
How do you begin to derive the Rankine Earth pressure coefficients Ka & Kp?
Draw the Mohr’s circle at failure, with the principal stresses AND FAILURE ANGLE expressed in terms of the circle centre and the radius
What are the drawbacks of Rankine theory?
Does not account for wall friction or wall soil adhesion
Cannot deal with sloped ground and complex geometry walls
What are the limitations of analytical solutions for bearing capacity?
It requires the foundation to be assumed to be infinitely long, vertically loaded at the centre and with no groundwater