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ADaPT Engineering, Inc. <br />Western Wireless Corporation <br />ADaPT Job No, WA98.992 <br />April I, 1998 <br />Page 7 <br />The factors E and 1 are gove,ned by the internal material strength characteristics of the pier. A <br />representative value of nh for the soil type encountered at this site is presented. ?iers with a L./f ratio of <br />less than 2 may be assumed to be relatively rigid and acting as a pole. The passive pressure approach <br />may be used for this condition. °or piers with a L/T ratio greater than 2, the modulus of subgrade <br />reaction method is typically used. Both of these methods are discussed below: <br />Passive Pressure Method: The passive pressure approaci, is conservative by neglecting the redistribution <br />of vertical stresses and shear forces that develop near the bottom of the pier and contribute to resisting <br />lateral loads. We recommend using the allowable passive earth pressure (expressed as equivalent Fluid <br />unit weights) listed in Table 3. <br />Table 3 <br />Allowable Passive Pressures <br />Depth (feet) Allowable Passive Pressure (pcf) <br />0-2 0 <br />2-7 350 <br />7-20 400 <br />20-29 200 <br />The allowable passive earth pressure presented in Table 3 may be assumed to be acting over an area <br />measuring 2 pier diameters in width by 8 pier diameters in depth, neglecting the uppermost 2 feet of <br />embedment below the ground surface. According to the NAVFAC Design Manual 7.2, a lateral <br />deflection equal to about 0.01 times the pier length would be required to mobilize the allowable passive <br />pressure presented above. Higher deflections would mobilize higher passive pressures. When developing <br />the allowable passive pressure listed in Table 3, we have incorporated a safety factor of at least 1.5, which <br />is conunonly applied to transient or seismic loading conditions. <br />Modulus of Sub grade Reaction Method: Using this method, the pier is designed to resist lateral loads <br />based on acceptable lateral deflection limits. For sandy soils, the coefficient of horizontal subgrade <br />reaction (kh) is considered to be directly proportional to the depth along the pier. The formula to <br />determine kh is kh = nhx, where x is the depth below the ground surface in inches. We recc,.nmend using <br />the value for the constant of horizontal subgrade reaction (nh) for the various soil types presented in Table <br />4 below <br />