作业1——边坡稳定性分析1. 题 目图示均质黏性土边坡，高25m，坡度1:2，土的重度=20kN/m3，内摩擦角=25o，黏聚力c=10kPa。试分别利用瑞典条分法和简化Bishop法计算滑动圆心位于O点(坐标为x=30.612m, y=38.575m，半径R=49.246m)时的稳定系数Fs。2. 要 求(1) 采用Excel、Matlab或其他计算机语言编程计算，不要手算。(2)提交计算书，内容包括：计算原理、方法、过程、结果等。一．瑞典条分法1.从圆心O垂线OV，以OV为界线，向左把滑动土体按等宽分成10分，向右把滑动土体分成16分，两端的分条是不等宽的。按条宽2-4米的原则，本次条宽取为3米。2.用CAD作图，并量取半径及弧长，如图所示。3.求试算滑面中每一个土条的面积A并量取它们的偏角α，然后按下述两式计算面积的法向分量n及切向分量t：n=Acosαt=Asinα将计算结果填入下表中，注意OV线右侧的各土条的t对滑动土体起下滑作用，计算时取正值，OV线左侧的各土条的t对滑动土体具有抗滑稳定作用，计算时取负值。面积大小(㎡)偏角(度)法向分量n切向分量t17.9736366.450777914.686764521861861689.3846118327734786612.603003436612510914.267664544871105715.239836651930720114.317404758425969712.206267864.8853964.086454310.150297970.492257014381075.542527563639521180.04252797934431283.992258332040261387.3853986.309441913.6700731490237619118.7554851592.4491688.867682525.4823981694385890432.1698331794864084836.8716161890718508541.1281341985333405544.063155207922932345.6740642172679021146.7202462264614256445.614256235421299841.9652172442633100435.179713252707393824.588501267.5131702.569631547.0600046求和1605.16143742054.根据计算公代入数据l=96.64，=1437.84661，=367.4205得简化毕肖普法计算公式 a式， b式采用迭代法计算，首先假定K=1，按a式计算出，按b式计算K，如果算出的K不等于1，据得到的K按式b求出，如此反复迭代，直到两次计算的K值非常接近为止。用Excle计算的结果如下表所示。K=1时计算表土条编号偏角(度)1361.08310713596.3555542393.735289752311.097334705182.2001568187.69223543271.102706834261.9916429252.06006544231.102706686336.0358612285.35328755201.0991800344057967236161.089794151472.0431591286.34807227121.075098901537.1886647244.1253333891.060635296598.8234479203.0059439951.036836292663.0018264122.8760011021.015664811723.195738752.727904591121.01566481176486885931251.036836292784.4324717146.40805151391.060635296796.6666658273.401453214121.075098901810.4428738375.109698515161.089794151818.6847605509.647958216201.099180034825.34843216