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Chapter 32 - Deep Foundations - Index of - Free

Chapter 32 - Deep Foundations - Index of - Free

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p–y Curves for S<strong>of</strong>t ClayMatlock [35] proposed a method to calculate p–y curves for s<strong>of</strong>t clays as shown on Figure <strong>32</strong>.10.The lateral soil resistance p is expressed asFIGURE <strong>32</strong>.10 Characteristic shape <strong>of</strong> p–y curve for s<strong>of</strong>t clay. [After Matlock, (1970) 35 ]p=⎧ y0.5⎛-----⎪ ⎝y 50 ⎠⎨⎪ p u⎩1⁄3⎞p uy< y p = 8y 50y≥y p(<strong>32</strong>.34)in whichp u= ultimate lateral soil resistance corresponding to ultimate shear stress <strong>of</strong> soily 50= lateral movement <strong>of</strong> soil corresponding to 50% <strong>of</strong> ultimate lateral soil resistancey = lateral movement <strong>of</strong> soilThe ultimate lateral soil resistancep uis calculated as⎧⎛γ′x --x3 + ------ + J ⎞⎪B cBp⎝ c ⎠u = ⎨⎪9cB⎩γ′Bx < x r = ( 6B)⁄ ⎛------- + J⎞⎝ c ⎠x ≥x r(<strong>32</strong>.35)where γ′is the effective unit weight, x is the depth from ground surface, c is the undrainedshear strength <strong>of</strong> the clay, and J is a constant frequently taken as 0.5.The lateral movement <strong>of</strong> soil corresponding to 50% <strong>of</strong> ultimate lateral soil resistance y 50iscalculated asy= 25 . ε50 50B(<strong>32</strong>.36)where ε 50is the strain <strong>of</strong> soil corresponding to half <strong>of</strong> the maximum deviator stress. Table <strong>32</strong>.12shows the representative values <strong>of</strong> ε 50.p–y Curves for SandsReese et al. [53] proposed a method for developing p–y curves for sandy materials. As shown onFigure <strong>32</strong>.11, a typical p–y curve usually consists <strong>of</strong> the following four segments:© 2000 by CRC Press LLC

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