桥墩桩基础设计计算书

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基础工程课程设计一.设计题目:某桥桥墩桩基础设计计算二.设计资料:某桥梁上部构造采用预应力箱梁。标准跨径30m,梁长29.9m,计算跨径29.5m,桥面宽13m(10+2×1.5),墩上纵向设两排支座,一排固定,一排滑动,下部结构为桩柱式桥墩和钻孔灌注桩基础。1、水文地质条件:河面常水位标高25.000m,河床标高为22.000m,一般冲刷线标高20.000m,最大冲刷线标高18.000m处,一般冲刷线以下的地质情况如下:(1)地质情况c(城轨):序号名称层厚土层描述天然重度γ比例系数m推荐容许承载力[σ]极限摩阻力τi1淤泥质土4.6m软塑16kN/m36MN/m450kPa20kPa2粘土3.8m灰黄色,硬塑17kN/m315MN/m4240kPa50kPa3碎石50m黄色,密实20kN/m355MN/m4550kPa240kPa2、标准荷载:(1)恒载桥面自重:N1=1500kN+8×10kN=1580KN;箱梁自重:N2=5000kN+8×50Kn=5400KN;墩帽自重:N3=800kN;桥墩自重:N4=975kN;扣除浮重:10*2*3*2.5=150KN(2)活载一跨活载反力:N5=2835.75kN,在顺桥向引起的弯矩:M1=3334.3kN·m;两跨活载反力:N6=5030.04kN+8×100kN;(3)水平力制动力:H1=300kN,对承台顶力矩6.5m;风力:H2=2.7kN,对承台顶力矩4.75m3、主要材料承台采用C30混凝土,重度γ=25kN/m3、γ‘=15kN/m3(浮容重),桩基采用C30混凝土,HRB335级钢筋;4、墩身、承台及桩的尺寸墩身采用C30混凝土,尺寸:长×宽×高=3×2×6.5m3。承台平面尺寸:长×宽=7×4.5m2,厚度初定2.5m,承台底标高20.000m。拟采用4根钻孔灌注桩,设计直径1.0m,成孔直径1.1m,设计要求桩底沉渣厚度小于300mm。5、其它参数结构重要性系数γso=1.1,荷载组合系数φ=1.0,恒载分项系数γG=1.2,活载分项系数γQ=1.46、设计荷载(1)桩、承台尺寸与材料承台尺寸:7.0m×4.5m×2.5m初步拟定采用四根桩,设计直径1m,成孔直径1.1m。桩身及承台混凝土用30号,其受压弹性模量hE=3×410MPa。(2)荷载情况上部为等跨30m的预应力箱梁桥,混凝土桥墩,作用在承台底面中心的荷载为:恒载及一孔活载时:1.2(1580540080097515074.52.5151.42835.7515713.55NKN)1.4(3002.7)423.78HKN[3334.3300(2.56.5)2.74.752.51.48475.425MKN()]恒载及二孔活载时:1.2(1580540080097515074.52.515N)+1.45830.04=19905.556KN桩(直径1m)自重每延米为:q=211511.781/4KNmπ(已扣除浮力)三、计算1、根据《公路桥涵地基与基础设计规范》反算桩长根据《公路桥涵地基与基础设计规范》中确定单桩容许承载力的经验公式,初步反算桩的长度,设该桩埋入最大冲刷线以下深度为h,一般冲刷线以下深度为h2,则:)3(2122200hkAmlUPNiihγσλτ桩的设计桩径1m,冲抓锥成孔直径为1.1m,桩周长和面积为U=π×1.1=3.456m,210.7854m,假定桩长20m取λ=0.70t/d0.3取0m=0.80查表得2K=6.0已知0=550KPah019905.5560.55058.8565.8914Nqlqhh2164.6173.8h24.63.82029.81010h2h2()土换算加权重度0022221(3)0.53.456[24.6203.850(24.63.8)240]0.70.80.785[55029.816(10)(1)](441.0961147.9163829.416)22hiiNPUlmAkhhhhhhhτλσγ令hNP得:2435.2056218.55413947.128016.26(hhhm舍去负值)现取h=17m20m,满足取λ=0.70,则,桩低标高为1.00m2.单桩竖向允许承载力代入数据h=17m得002221(3)5480.672iiPUlmAkhKNτλσγ加权重度3229.829.810108.432/h2172KNm3、桩的平面布置图承台平面布置图10040010020.00m一般冲刷线18.00m最大冲刷线22.00m河床25.00m常水位1.00m桩底标高50502507002504501501005050100承台纵桥向立面图承台横桥向立面图501002003004、桩的内力及位移计算(1)确定桩的计算宽度b110''11111''10.9(1)H11.50.60.63(1)3.60.767,1.3810.62.76214.53.5mfbKKKddkLbLmhdmKbmbmhBB,沿水平力作用方向上装间净距,,满足nb,取一排装两边外侧边缘距离(2)计算桩-土变形系数地面或最大冲刷线下的影响深度2(1)4mhdm范围内有两层土。22411212220277244115(2)[62.615(22.61.4)1.4]11197.5/40.670.673102.0110/0.0491640.436,7.4122.5mhmhmhhhmKNmhEEKNmIdmmbmhhEI,,,满足按弹性桩计算(3)桩顶刚度系数1234、、、的计算220532200020182,17,0.5,0.785411197.5171.90410/,2.54.91(4lmhmAdmCmhKNmAm按桩中心距计算)15175000120.51716.60100.67010.7853101.904104.91hEIlhAECA00322347.412440.43620.8720.483950.649161.253570.0401,0.1234,0.5466QMMQMMhhllmEIEIEIEIEIEI已知:(),取用,查表得:,,(4)计算承台地面远点O处位移000、b、(单孔活载+恒载+制动力)0115713.555863.26b40.670NnEIEI224112222332413102224131n40.54660.6741.256.373940.04010.1604,40.12340.4936,0.2436()6.3739423.780.493684mmiiiiiiixEIEIEInEIEInEIEInEInxHnMEIEIannxn22302222413175.4258840.310.16046.37390.0.2436()0.16048475.4250.49368475.4252014.240.16046.37390.0.2436()()miiEIEIEIEInMnHEIEIEIEIEIEInnxn(5)计算作用在每根桩顶上的作用力Pi、Qi、Mi100203040305615.315863.262014.240.6701.252241.468840.312014.240.04010.1234105.942014.248840.310.54660.123410.09:iiiiKNbxEIKNEIEIEIEIKNEIEIMaEIEIKNmEIEIn竖向力P水平力Q弯矩校核114105.94423.76423.782(5615.312241.46)1.25410.098474.9858475.4252(5615.312241.46)15713.5415713.55,iniiiinIiKNKNHKNxPnMKNmMKNmnPKNPKNQ校核正确(6)计算最大冲刷线处桩身弯矩0M,水平力0Q及轴向力0P000010.09105.942221.97105.94,5615.310.7852155641.86iiiMQlKNmQKNPKNMQ(7)最大弯矩Mmax及最大弯矩位置Zmax的计算100maxmax00.436,7.4124(40.436221.970.9135105.940.978380.97838,2.244m0.4361.666221.971.463369.80QMMmhMCZZZZKMKKNm取)Q查表得:可查表(线性内插)得M(8)桩顶纵向水平位移验算桩在最大冲刷线处水平位移xo和转角φo的计算32323222.440661.621001.621001.75058105.94221.972.440661.621000.4360.4363.21103.216105.94221.971.621000.4360.43xxooOxxooOABABQMXABEIEIEIEImmmmmQMABEIEIEI查表得:,,,,符合规范要求()+3(1.75058)1.82106radEI∴桩顶纵向水平位移32232333001000105.94221.971.62100(1.75058)1.82100.4360.4363.2110(1.8210)2(6.850.31)107.1632ooOQMQMABradEIEIEIEIQlMllmmmEIEI()+水平位移容许值[△]=0.525=2.5cm=25mm符合规范要求。5、按m法计算桩身入土段任一深度处的弯矩和桩侧横向土抗力(并作ZZZZM、曲线)110020111.381,0.436,105.94,221.971~oZZXxxbmmKNKNmQMZZAZBbb已经算出QM曲线,ZZZxAxB1oxQZAb201xMZBbZX002.440661.6210000.2293580.12.278731.450947.6216682314.43320207612.054870.4587160.22.117791.2908814.166744437.88830950422.055050.9174310.41.802731.0006424.1183641212.2294218236.347791.3761470.61.502680.7498130.1560827813.7458168443.90191.8348620.81.22370.5372732.7432751213.1325980645.875872.29357810.970410.3611932.4573032711.0357992643.49313.4403671.50.466140.0628823.386476872.8818532826.268334.58715620

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