库伦理论主动土压力计算

库伦理论主动土压力计算3.1.2库伦理论土压力计算一，主动土压力计算如图3-7&所示，挡上墙的墙背倾斜，填土表面呈斜坡且墙背与填上间存在摩擦力的情况，并假设墙后填土为无粘性土，土体滑裂破坏面BC为一平面:土槐ABC向F滑动而处于极限平衡状态，由静力平衡条件，则主动土压力E.可由下式计算：图3-7主动土压力计算图图（«）土观图3-7主动土压力计算图图（«）土观ABC的作用力；（%）为二稻形.Q）主动土压力分布图(3-12)(3-13)式中7——墙后填土的重度（kN/m3）?H——挡土墙高度（出）；IF—墙后填上的内摩擦角（*）;a——墙背的倾斜角「）,俯斜（反时钟）时取正号，仰斜（顺时钟）时为负号；F一—墙后填土面的帧斜角0）；3—墙背与填料间的摩擦角，应由试验或由墙背的粗糙程度和排水条件按以下确定：当墙背平滑和排水不良时，取3=[o〜/卜；当墙背粗髓和排水良好时，取占二料一噌”墙背很粗槌和排水良好时，取&二:，〜意中；K.—库伦主动土压力系数，已知九*队口可查表3-3求得二

力的三角形见图3-76。当墙背直立（a=。）、光滑（才=0）、墙后填土面水平（8=0）时，式（3T2）变为：Ee=-^yH2tg2（45*--^-j （3-14）可知，在上述条件下，库伦公式和朗金公式相同。在离墙顶为任意深度工处的主动土压力强度为以可将&对人取导致而得，即：力。条4体如kJ=»K, （3-15）主动土压力索数K.值由上式（3-15）知，主动土压力强度沿墙高成三角形分布（图3-7c）,主动土压力的作用点在离墙底主动土压力索数K.值^7^20,25,30*35・40,45,str0*0.490,0.4060.3330.2710.2170.1720.1325*0.5240.4310.3520.2840.2270.17S0.13710,0.5690.4620.374/0.3000.23S0.1860.1420・15'0.6390.505,*0.020.3190.2510.1940.14720,0.8830.5730,4410.3440.2670.2040.15425,0.8210.5050,3790.2S80,2170.16230'0,7500.4%0.3180,2350.1720*0,僚0.4780,4070.3430,漱0.2380.1945,0.6010,51。0.4310.3620.3020,2490.20210,0.6550.5500.4610J«40,3180.2610.21110,15,0.7370.6030,498一0.4110,3370.2740.221如，1.0150.6850.5480.4440.3600.2910.23135，0.9770.6280.4910.391.Q.3110.24530，0.9250.M664330.3370.2620*0.6480.5690.4980.4340.3750.3220.2745,0.7000.6110.532Q.4610.3970.3400.28610,0.7680.6630.5720.4920.4210.3580.30220*15,Q.&380.7300.6210,5290.4500.3800.31820"1.2050.B340.6880.5760.4840.4050.31725*1.1960.7910.6390.5270.4350.3S830414690.7400.5860.4740.3850・0,4330.3440.2700.20904580.1170,0835,0.4610.M40.2840.2180.1640.1200.0S51T0.5000.3890.3010.2290.1710.1250.088，一10，15，0,M20,4250,3220.2430.180,,0.1300.09020,0.7850.4820.353S2610.1900.1360.09425"0.7030.4050.2870.205,0.1440.09830,0.6140.3310.2260.155oa(MO'0.3800,2870.2120.1530.1060.0700.043r0.4050.3020.2220.1590.1100.0720,04410,0.4390.3230.2340.1660.1140.0740.045315,0.4940.3520.250■0.17S0.1W0.0760.04620*0.7070.4010.2740.1880.1250.0800.04725-0.6OS0.3160.2060・1340.0840.04930*0.4期0.23904470.0900.051才"口续表a20*25,30,.35,40・45・50,8=5'0.,0.4650.3870.3190.2600.2100.1660.1295・0.5000.4120.3370.2740.2190.1730.13310,0.5470.4440,3600.2890,2300.1800.1380.13B0.6200.4880.3880.3080.2430.1890.14420,.0.8860.5580.4280.3330.2590.1990.15025，町•0.8250.4930.7530.3690.4280.2800.3110.2120.2290.1580.1680.0.5360.4600.393.0.3330.2800.2330.1915*0.5790.4930.4130.3520.2940.2430.19910。0.63603340.4480.3740.3110.2550.20710*is・0.7250.5890.4860.4010.3300.2690.21720,25，30,1.0350.6760.9960.5380.6220.9430.4360.4840.5630.3540.3850.4280.2860.3060.3330.2280.2420.259J0*0.6270.5530.4850.4240.3680.3180.2715・0.6820.597,、0.5200.4520.3910.3350.28510,0.7550.6500.5620.4840.4160.3550.30020,15,0.8660.7230.6140.5230.4450.3760.31620,1：25Q0.8350.6840.5710.4800.4020.335•i25,30,1-2400.7941.2120.6390.7460.5250.5870.4340.4740.3570.3850-0.4060.3240.25604990.1510.1120.0805，0.4340.3440.2690.2080.1570.1160.082W0.4740.3690.2860.2190.1640.1200.085-10*15,0.5370.4050.3080.2320.1720.1250.08720,25*30*0.7760.4630.6950.3390.3900.6070.2500.2760.3210.1830.1970.2180.1310.1390.1490.0910.0950.1000*0.3520.2670.1990.1440.1010.0670.041.5-0.3760.2820.2080.1500.1040.0680.04210*,0.4100.3020.2200.1570.1080.0700.043-20,15,0.4660.3310.2360.1650.1120.0730.04420,25,30°0.6880.3800.5860.2590.3000.4840.1780.1960.2280.1190.1270.1400.0760.0800.0850.0450.0470.049A=io・040.4470.3730.3090.2530.2040.1630.1275，0.4830.3980.3270.2660.2140.1690.13110,0.531,0.4310.3500.2820.2250.1770.136O'15,0.6090.4760.3790.3010.2380.1850.14120*0.8970.5490.4200.3260.2540.1950.14825*0.8340.4870.3630.2750.2090.15630,0.7620.4230.3060.2260.166T0.5200.4480.3840.3260.2750.2300.1895,0.5660.482..0.409.0.3460.2900.2400.19710,0.6260,5240.440p.3690.3070.2530.206W15*・0.7210.582,0.4800.3960.3260.2670.21620,1..0640.6740.5340.4320.3510.2840.22725*1.024.0・6220.4820.3820.3040.24130・0.9690.5640.4270.3320.258£«D*01650WO'OMKO180,0840,09£010ctroceroSZl'O6110frTI'Ooiro901"。60Zf08sroHl'Q€9105E「08frV0ZH'O的£»0£9ZQL£Z'Q6U0，此QS6IO98rozeroM£”0瓯068KO£9210TM0££ZOS690WO0ft£0m'o修I£'O86Z,O9£「060S0Zkfr*OOOfr'OU£,O,ot,oz・£T・QT.0JH-的TO£8〉”0909'08£L'Otrt'T.0££9£,Or^'o9£F-OS£9'0丽031SZTWOSOTO州，口30£69l0瓯0Ml必侬0*0mo*08E9"0U40楸051£0£0。泞0料尸0谕’009506W0£54,0.OT翊,09£€0胸TO6f“0"038roU9,0.5UZ'O£T€099ro6lf094*00K，0TWO.009TOMX*。0€/0U?'O500,1.加ZWO$O£'O£8£k09*0SZ90MI,sz8^+0WZ'OTffE'OZ£tOSES'O649,0£01T.039W0L9Z'OWO?6£'O«6t*O18S'O・£TSTWTOZSZrOfOfO99roOZS0WOm£6I'OOfrZ0gffZ'O£Oro9306S5*06StF0m”o90tZC'OwoTfrKOns*o.0S9IF0«no近。ZZfr-0££Z'O,0£-SSl'O工况”0UZ'OtrtcoSSfr'C0£8~0留£HTwo1CZ0£ZE*O£中09W0fl6*0mOHOraro££T0奴'QU€*004>0E09*0冏.ot£I0wo的。“0CH*O30汝”0,010£「0491*0IU*OIW;oWO68TQUfOa«ro09T0I0Z0aw,oWTQ腕0Kf*0.0用=9£WJ-OswomozwowoOtO'O6£0'。ZSO'O£A0,0UO00400890"。9903丽。SCl'OzeroHV0801*0£01”0660960*0ozroseioorro8Fl*06H0削“0££I0WO8财08fE*0szzo60ro£610盼「0S£0W£*0HCO9®r。ZK'OU9*0JI^'O88€，0K€-00££：OM廉,n.01.0・Q-960,09frVfrruo£T€*0S090.0€£60*0S£VO1610峻”0啥。E690S800£Z「OUlO“TO呢£90中0EZX-Q.S800IZl'U£910%。46Z006£*0OZTO£i・0”Z800giro6£「0IU□f£Z'OKEOWO•01080・0ZH'OEfilO。财。ESZ'O腔，0>TMO59£0*0sort)9H,O161102060£03Ko.0aSG'DW0MO的「089ZH.吨09£*09CT0昵fOEt9,0908096^*1雨£££0EOfrOIS^O££Q&的0到*080£l.07£K0UfOPTP-0rzso£T9'0皿030.fl.w0峻。>££'0ZftLO84。9W0,JS40.01WO帏£08S£0t»'OSK-0-6犷0M。：。sWO9te-oS9£06优08£V0,CKO5W0a.01=W.05Q阳St肥•霓.ozX.I,续我a20,25。3(T35.40,45.50*“16Q・0.3140.2400.1800.1320.0930.0620.0385,0.3380.2550.1890.1370.0960.0640.039*10,0.3720.2750.2010.1440.1000.0660.040-20*15*0.4290.3030.2160.1520.1040.0680.04120*0.6670.3520.239Q.I640.1100.0710.04225,0.5680.2800.1820.1190.0750.0443Q・0.4700.2140.1310.0800.0468=2O・0,0.3570.2970.2450.1990.1600.1255・0.3840.3170.2590.2090.1660.13010,0.4190.3400.2750.2200.1740.135O'15,0.4670.3710.2950.2340.1830.14020*0.5470.4140.3220.2510.1930.14725,0.8740.4870.3600.2730.2070.15530,0.7980.4250.3060.2250.1660,0.4380,3770.3220.2730.2290.1905'0.4750.4040.3430.2890.2410.19810*0.5210.4380.3670.3060.2540.20810,15*0.5860.4800.3970.3280.2690.21820*0.6900.5400.4360.3540.2860.23025，1.1110.6390.4900.3880.3090.24530,1.0510.5820.4370.3330.2640・0.5430.4790.4220.3700.3210.2775-0.5940.5200.4540.3950.3410.292i(r0.6590.5680.4900.4230.3630.30920,15’0.7470.6290.5350.4560.3870.32720,0.8910.7150.5920.4960.4170.34925',1.4670.8540.6730.5490,4530.3743041.4340.8070.6240.5010.406o・0.2910.2320.1820.1400.1050.0765-0.3110.2450.1910.1460.1080.07810,0.3370.2620.2020.1530.113:0.080-10,15，0.3740.2840.2150.1610.1170.08320，0.4370.3160.2330.1710.1240.08625。0.7030.3710.2600.1860.1310.090*30，0.6140.3060.2070.1420.0960・0.2310.1740.1280.0900.0610.0385・0.2460.1830.1330.0940.0620.03810*0.2660.1950.1400.0970.0640.039-20*15,0.2940.2100,1480.1020.0670.04020*0.3440.2330.1600.1080.0690.04225,0.5660.2740.1780.1160.0730.04330*0.4680.2100.1290.0790.045

续表a20*25*30,3s.40,45,50*225*0.2960.2450.1990.1600.1265・0.3160.2590.2090.1670.13010,0.3400.2750.2210.1750.1360.15,0.3720.2960.2350.1S40.14120*0.4170.3240.2520.1950.14825,0.4940.3630.2750.2090.157町0.8280.4320.3090.22B0.1680*0.3790.3250.2760.2320.1935*0.4080.3460.2920.2440.20110*0.4430.3710.3110.2580.21115,0.4880.4030.3330.2730.2