Pile Foundations Flashcards
What is the ultimate axial resistance of a pile to failure?
Ultimate shaft resistance + ultimate base resistance
What is the ultimate shaft resistance of a pile?
Qs = pi D int(τult) over L
What is τult?
Interface friction between soil and pile
What is the base resistance of a pile?
Qb = pi r2 qbu
What is qbu?
Ultimate base pressure
How can τult be found from a β value?
τult = β σ’vo
When can τult be found from a β value?
With the assumption that soil is drained fine grained soil where δ’= φ’
How can qbu be approximated?
Nq σ’vo
What is the value of Nq?
(1+sin φ’)/(1-sin φ’) * e^(pi tan φ’)
What is the basic inequality of the ultimate limit state?
ΣL <= R(X)
L is actions
R is resistance
X is material properties
How do safety factors affect the ultimate limit state?
Actions are increased
Resistances and properties are decreased
What is the base stiffness of a pile with diameter D?
2(DG/1-ν)
What is the shaft stiffness of a soil element? The shaft has diameter D, length L and an average shear modulus of Gbar over its length.
2 pi L Gbar/ln(2rmax/D)
What is the settlement of a pile?
Applied load/(base stiffness + shaft stiffness)
How is ultimate pile capacity defined?
The capacity at a displacement equal to 10% of the pile diameter