Soft Clay (Matlock) [Matlock, 1970]
Static Loading Condition
(1)
where,
p = horizontal soft clay resistance per unit length pult = horizontal ultimate soft clay resistance per unit length of pile &#xNAN;y = horizontal displacement y50 = displacement at one-half of the ultimate soft clay resistance
pult calculated using the lesser of the values given by the equations below,
(2)
(3)
where,
b = diameter of the pile z = depth below ground surface γ′ = effective unit weight J = constant; based on experiments, factor determined experimentally Matlock [Matlock, 1970] recommends J = 0.5 for soft clay and J = 0.25 for medium clay. The default value 0.5 is used.
y50 can be obtained from following equation,
(4)
where,
ε50 = the strain corresponding to one-half the maximum principal stress difference
The value of p remains constant beyond y = 8y50.
Cyclic Loading Condition
The transition depth is defined as,
(5)
For depths greater than or equal to zr, then p is equal to 0.72pu for y>3y50.
For depths less than zr, the value of p reduces from 0.72pu at y=3y50 to the value given by the following equation at ,y=15y50 . The value of the p remains constant beyond y=15y50,
(6)
[Matlock, 1970] Matlock, H. (1970). Correlation for design of laterally loaded piles in soft clay. In Offshore technology conference, pages OTC–1204. OTC.
[Reese and Van Impe, 2011] Reese, L. C. and Van Impe, W. F. (2011). Single piles and pile groups under lateral loading. CRC Press/Balkema.
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