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<br />. <br /> <br />Chapter 4 <br />System Loads <br /> <br />4-1. General <br /> <br />The loads governing the design of a sheet pile wall arise <br />primarily from the soil and waler slllTOunding the wall <br />and from other influences such as surface surcharges <br />and extemalloads applied directly 10 the piling. ClIITenl <br />methodologies for evaluating these loads are discusSed <br />in the following paragraphs. <br /> <br />4-2. Ealth Pressures <br /> <br />Earth pressures reflect the stale of stress in the soil <br />mass. The concepl of an earth pressure coefficien!, K. <br />is oflen used 10 describe !his stale of stress. The earth <br />pressure coeffICient is defined as the ratio of horizontal <br />stresses 10 the vertical stresses at any depth below the <br />soil surface: <br /> <br />Oh <br />K-_ <br />o. <br /> <br />(4-1) <br /> <br />. <br /> <br />Earth pressures for any given soil-sllUclure syslem may <br />vary from an initial slale of stress referred 10 as at-res(, <br />K . 10 minimum limil stale referred 10 as active, K A' or <br />o . <br />10 a maximum limil stale referred 10 as pasSIve. Kp. <br />The magnilUde of the earth pressure exerted on the WlI11 <br />depends, among other effects. on the physical and <br />strength properties of the 'soil, the inleraction at the <br />soil-SIrUcIure inlerface. the ground.waler conditions, &lid <br />the defonnations of the soil-suuclUre syslem. These <br />limil states are delennined by the shear strength of the <br />soil: <br /> <br />'Cf - C + ontan+ <br /> <br />(4-2) <br /> <br />where <br /> <br />tr and o. = shear and normal stresses on a failure <br />plane <br /> <br />c and . .. shear strength panunelen of the soil. <br />cohesion. and angle of inlernal friction. <br />respeclively (Figure 4-1) <br /> <br />. <br /> <br />a. AI-reST pressures. At.rest pressure refeIS 10 a <br />slate of stress where there is no lateral movemenl or <br /> <br />EM 111(1.2.2504 <br />31 Mar 94 <br /> <br />strain in the soil mass. In this case, the lateral earth <br />pressures are the pressures thaI exi.sled in the gro~ <br />prior 10 inslailation of a wall. ThIS stale ?f stress IS <br />shown in Figure 4-2 as cilde 0 on a Mohr diagram. <br /> <br />b. Active pressures. Active soil pressure is the mini- <br />mum possible value of horizontal earth pressure at any <br />depth. This pressure develops when the walls move or <br />rolate away from the soil allowing the soil 10 expand <br />horizonlal1y in the direction of WlI11 mov~enl. ~ <br />stale of stress resulting in active pressures IS shown m <br />Figure 4.2 as circle A, <br /> <br />c. Passive pressures. Passive (soil) pressure is the <br />maximum possible horizontal pressure !hat can be devel. <br />oped at any depth from a wall moving or ~latin.g <br />Ioward the soil and lending 10 compress the SOli hon- <br />zonlal1y. The Slate of stress resulting in passive pres- <br />sures is shown in Figure 4-2 as circle P. <br /> <br />d. Wall movements, The amounl of movemenl <br />required 10 develop minimum active or maximum pas- <br />sive earth pressures depends on the stiffness of the soil <br />and the heighlof the wall. For stiff soils like dense <br />sands or heavily oveltOl\solidated clays. the required <br />movemenl is relatively small. An example is shown in <br />Figure 4-3 which indicales !hat a movemenl of a wall <br />away from the fill by 0.3 perceIll of the wall height is <br />sufficienllo develop minimum pressure. while a move- <br />menl of 2.0 perceIll of the wall heighl IOward the fill is <br />sufficient 10 develop the maximum pressure. For all <br />sands of medium or higher densily. il can be assumed <br />!hat the movemenl required 10 reach the minimum active <br />earth pressure is no more than aboul 0.4 percenl of the <br />wall heigh!, or aboul I inch of movemenl of a <br />2O-foot-high wall. The movemenl required 10 increase <br />the earth pressure 10 ilB maximum passive value is aboul <br />10 times thaI required for the minimum. aboul <br />4.0 percenl of the wall heighl or aboul 10 inches of <br />movemenl flll'" a 2O-fool-high wall. For loose sands. the <br />movemenl required 10 reach the minimum aclive or the <br />maximum passive is somewhat larger, The classical <br />design pocedures desaibed in !his chapler aSsume !hat <br />the sheeI pile walls have sufficienl flexibility 10 produce <br />the 1imi1 stale, active or passive earth pressures. A <br />melhod 10 accounl for inlennediate 10 exlreme values of <br />earth pressure by soil-struclure interaction analysis is <br />presenled in Chapter 7, <br /> <br />e. Wall friction and adhesion. In addition 10 the <br />horizonlai motion. relative vertical motion along the <br />wall soil inlerface may resull in vertical shearing <br /> <br />4-1 <br />