土的工程绪论土的工程 (58).pdf
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1、2.6 Seepage pressure and critical hydraulic gradientSeepage pressure Seepage pressureWhen seepage occurring in groundwater,the flowingof water in the voids of soil exerts a force on particleskeleton,which is called seepage pressure or dynamicwater pressure,expressed by the symbol Gd(KN/m3).The seepa
2、ge water will also subjected to the resistanceT(KN/m3)from the soil particle skeleton.T=-Gd土力学土力学Soil MechanicsSoil MechanicsProf.Prof.H.J.LiaoH.J.LiaoThe stress analysis of water column BA with length L,sectional area F and water head difference H=H1-H2iscarried out.Note:Neglecting the inertia forc
3、e of seepage water.Derivation of formula T(Gd)wLFBase levelPiezometer 土力学土力学Soil MechanicsSoil MechanicsProf.Prof.H.J.LiaoH.J.Liao Total water pressure on section B:f1=wh1 F Total water pressure on section A:f2=wh2 F Weight of water column BA:f3=wL F Total resistance of soil particle skeleton to see
4、page water:f4=TLF Component of the gravity of water column BA in the flow line direction:f5=wL F cosDerivation of formula T(Gd)wLFPiezometer Base level土力学土力学Soil MechanicsSoil MechanicsProf.Prof.H.J.LiaoH.J.LiaoAlong the flow line direction of BA,the equilibrium relation of force iswh1F+wLFcos-wh2F-
5、TFL=0 (a)Remove F and substitute cos=(z1-z2)/L into it,thenwh1+w(z1-z2)-wh2-TL=0w(z1-z2)+(h1-h2)TL=0(b)Since z1h1=H1,z2h2=H2i=(H1-H2)/L=(z1-z2)+(h1-h2)/L(c)It can be concluded that T wiNamely the seepage pressure is Gd wiThe minus sign means that the two directions are opposite and the direction of
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