Stiff Clay with Free Water (Reese)[Reese et al., 1975]
Static Loading Condition
Obtain undrained shear strength cu, soil submerged unit weight γ′ and compute the average undrained shear strength ca over the depth z and value of cu at depth z.
pu, the ultimate soil resistance per unit length of pile defined as:
(1)
(2)
(3)
Initial straight-line portion of the p-y curve,
(4)
Following values are suggested for kpy over-consolidated clay by [Reese and Van Impe, 2011],
ca(kPA)
50-100
100-200
300-400
kpy (static)(MN/m3)
135
270
540
kpy (cyclic)(MN/m3)
55
110
540
Define y50 as,
(5)
Following values are suggested for ε50 over-consolidated clay by [Reese and Van Impe, 2011].
ca(kPA)
50-100
100-200
300-400
ε50
0.007
0.005
0.004
Obtaion As from following figure,
First parabolic portion of the p-y curve is given by the Eqn. (6). This portion extends from y is equal to intersection of Eqn. (4) and Eqn. (6) to y is equal to Asy50.
(6)
Second parabolic portion of the p-y curve is given by the Eqn. (7). This portion extends from y is equal to Asy50 to y is equal to 6Asy50.
(7)
Next straight line portion of the p-y curve is given by the Eqn. (8). This portion extends from y is equal to 6Asy50 to y is equal to 18Asy50.
(8)
Establish the final straight-line portion of the p-y curve,
(9)
or
(10)
[Reese and Van Impe, 2011] states that there might be no intersection between Eqn. (6) with any of the other equations given to define portions of the \(p-y\) curve. Eqn. (6) defines the p-y curve until it intersects with one of the other equations. However, if no intersection occurs, the p-y curve is defined by Eqn. (6) .
Cyclic Loading Condition
Straight portion of the curve is same as static loading condition.
Choose appropriate value for Ac from the Figure 2. and compute the following value:
(11)
First parabolic portion of the p-y curve is given by the Eqn. (12). This portion extends from \(y\) is equal to intersection of Eqn. (?) and Eqn. (12) to y is equal to 0.6yp.
(12)
The next straight portion of the p-y curve is given by the Eqn. (13). This straight line lies in between from y is equal to 0.6yp to y is equal to 1.8yp.
(13)
Lastly, final straight portion of the curve is given by the following,
(14)
[Reese and Van Impe, 2011] states that there might be no intersection between Eqn. (12) with any of the other equations given to define portions of the p-y curve. Eqn. (12) defines the p-y curve until it intersects with one of the other equations. However, if there is no intersection occurs, p-y curve is defined by smallest value of p for any value of y.
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