地下室核心筒基坑土方开挖施工方案

地下室核心筒基坑土方开挖施工方案
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地下室核心筒基坑土方开挖施工方案

支护桩嵌入土深度ld(m)

基坑外侧水位深度ha(m)

基坑内侧水位深度hp(m)

消防施工方案范例支护桩在坑底处的水平位移量υ(mm)

地下水位面至坑底的土层厚度D1(m)

基坑内外的水头差△h(m)

土重度γ(kN/m3)

饱和土重度γsat(kN/m3)

距支护边缘的水平距离a(m)

垂直基坑边的分布宽度b(m)

平行基坑边的分布长度l(m)

圆弧滑动稳定安全系数Ks

流土稳定性安全系数Kf

2)土压力、地下水产生的水平荷载

H1'=[∑γ0h0+∑q1]/γi=[0+3]/18=0.167m

H2'=[∑γ1h1+∑q1+∑q1b1/(b1+2a1)]/γi=[36+3+1.75]/18=2.264m

H3'=[∑γ2h2+∑q1+∑q1b1/(b1+2a1)]/γsati=[57.6+3+1.75]/20=3.118m

H4'=[∑γ3h3+∑q1+∑q1b1/(b1+2a1)+∑q1b1l1/((b1+2a1)(l1+2a1)]/γsati=[93.6+3+1.75+0.909]/20=4.963m

H5'=[∑γ4h4+∑q1+∑q1b1l1/((b1+2a1)(l1+2a1)]/γsati=[193.6+3+0.909]/19.2=10.287m

H6'=[∑γ5h5+∑q1+∑q1b1l1/((b1+2a1)(l1+2a1)]/γsati=[222.4+3+0.909]/19.9=11.372m

临界深度:Z0=Pak1下h1/(Pak1上+Pak1下)=14.774×2/(11.47+14.774)=1.126m;

Eak1=0.5Pak1下Z0ba=0.5×14.774×1.126×0.01=0.083kN;

aa1=Z0/3+∑h2=1.126/3+10=10.375m;

Eak2=h2(Pa2上+Pa2下)ba/2=1.2×(16.047+31.794)×0.01/2=0.287kN;

aa2=h2(2Pa2上+Pa2下)/(3Pa2上+3Pa2下)+∑h3=1.2×(2×16.047+31.794)/(3×16.047+3×31.794)+8.8=9.334m;

Eak3=h3(Pa3上+Pa3下)ba/2=1.8×(31.799+58.043)×0.01/2=0.809kN;

aa3=h3(2Pa3上+Pa3下)/(3Pa3上+3Pa3下)+∑h4=1.8×(2×31.799+58.043)/(3×31.799+3×58.043)+7=7.812m;

Eak4=h4(Pa4上+Pa4下)ba/2=5×(58.7+131.6)×0.01/2=4.758kN;

aa4=h4(2Pa4上+Pa4下)/(3Pa4上+3Pa4下)+∑h5=5×(2×58.7+131.6)/(3×58.7+3×131.6)+2=4.181m;

Eak5=h5(Pa5上+Pa5下)ba/2=1.5×(158.776+183.832)×0.01/2=2.57kN;

aa5=h5(2Pa5上+Pa5下)/(3Pa5上+3Pa5下)+∑h6=1.5×(2×158.776+183.832)/(3×158.776+3×183.832)+0.5=1.232m;

Eak6=h6(Pa6上+Pa6下)ba/2=0.5×(90.314+96.175)×0.01/2=0.466kN;

aa6=h6(2Pa6上+Pa6下)/(3Pa6上+3Pa6下)=0.5×(2×90.314+96.175)/(3×90.314+3×96.175)=0.247m;

Eak=ΣEaki=0.083+0.287+0.809+4.758+2.57+0.466=8.973kN;

aa=Σ(aaiEaki)/Eak=(10.375×0.083+9.334×0.287+7.812×0.809+4.181×4.758+1.232×2.57+0.247×0.466)/8.973=3.682m;

Kp1=tan2(45°+φ1/2)=tan2(45+9/2)=1.371;

Kp2=tan2(45°+φ2/2)=tan2(45+9/2)=1.371;

Kp3=tan2(45°+φ3/2)=tan2(45+4/2)=1.15;

Kp4=tan2(45°+φ4/2)=tan2(45+15/2)=1.698;

2)土压力、地下水产生的水平荷载

H1'=[∑γ0h0]/γi=[0]/18=0m

Ppk1上=γ1H1'Kp1+2c1Kp10.5=18×0×1.371+2×8×1.3710.5=18.734kN/m2

Ppk1下=γ1(h1+H1')Kp1+2c1Kp10.5=18×(0.5+0)×1.371+2×8×1.3710.5=31.073kN/m2

H2'=[∑γ1h1]/γsati=[9]/20=0.45m

Ppk2上=γsat2H2'Kp2+2c2Kp20.5=20×0.45×1.371+2×8×1.3710.5=31.073kN/m2

Ppk2下=γsat2(h2+H2')Kp2+2c2Kp20.5=20×(6.9+0.45)×1.371+2×8×1.3710.5=220.271kN/m2

H3'=[∑γ2h2]/γsati=[147]/19.2=7.656m

Ppk3上=γsat3H3'Kp3+2c3Kp30.5=19.2×7.656×1.15+2×7×1.150.5=184.058kN/m2

Ppk3下=γsat3(h3+H3')Kp3+2c3Kp30.5=19.2×(1.5+7.656)×1.15+2×7×1.150.5=217.178kN/m2

H4'=[∑γ3h3]/γsati=[175.8]/19.9=8.834m

Ppk4上=γsat4H4'Kp4+2c4Kp40.5=19.9×8.834×1.698+2×28×1.6980.5=371.475kN/m2

Ppk4下=γsat4(h4+H4')Kp4+2c4Kp40.5=19.9×(0.5+8.834)×1.698+2×28×1.6980.5=388.37kN/m2

Epk1=bah1(Pp1上+Pp1下)/2=0.01×0.5×(18.734+31.073)/2=0.125kN;

ap1=h1(2Pp1上+Pp1下)/(3Pp1上+3Pp1下)+∑h2=0.5×(2×18.734+31.073)/(3×18.734+3×31.073)+8.9=9.129m;

Epk2=bah2(Pp2上+Pp2下)/2=0.01×6.9×(31.073+220.271)/2=8.671kN;

ap2=h2(2Pp2上+Pp2下)/(3Pp2上+3Pp2下)+∑h3=6.9×(2×31.073+220.271)/(3×31.073+3×220.271)+2=4.584m;

Epk3=bah3(Pp3上+Pp3下)/2=0.01×1.5×(184.058+217.178)/2=3.009kN;

ap3=h3(2Pp3上+Pp3下)/(3Pp3上+3Pp3下)+∑h4=1.5×(2×184.058+217.178)/(3×184.058+3×217.178)+0.5=1.229m;

Epk4=bah4(Pp4上+Pp4下)/2=0.01×0.5×(371.475+388.37)/2=1.9kN;

ap4=h4(2Pp4上+Pp4下)/(3Pp4上+3Pp4下)=0.5×(2×371.475+388.37)/(3×371.475+3×388.37)=0.248m;

Epk=ΣEpki=0.125+8.671+3.009+1.9=13.705kN;

ap=Σ(apiEpki)/Epk=(9.129×0.125+4.584×8.671+1.229×3.009+0.248×1.9)/13.705=3.288m;

3、基坑内侧土反力计算

2)土压力、地下水产生的水平荷载

H1'=[∑γ0h0]/γi=[0]/18=0m

H2'=[∑γ1h1]/γsati=[9]/20=0.45m

H3'=[∑γ2h2]/γsati=[147]/19.2=7.656m

H4'=[∑γ3h3]/γsati=[175.8]/19.9=8.834m

Psk1=b0h1(Ps1上+Ps1下)/2=0.01×0.5×(0+13.757)/2=0.034kN;

as1=h1(2Ps1上+Ps1下)/(3Ps1上+3Ps1下)+∑h2=0.5×(2×0+13.757)/(3×0+3×13.757)+8.9=9.067m;

Psk2=b0h2(Ps2上+Ps2下)/2=0.01×6.9×(13.757+131.095)/2=4.997kN;

as2=h2(2Ps2上+Ps2下)/(3Ps2上+3Ps2下)+∑h3=6.9×(2×13.757+131.095)/(3×13.757+3×131.095)+2=4.518m;

Psk3=b0h3(Ps3上+Ps3下)/2=0.01×1.5×(137.648+155.877)/2=2.201kN;

as3=h3(2Ps3上+Ps3下)/(3Ps3上+3Ps3下)+∑h4=1.5×(2×137.648+155.877)/(3×137.648+3×155.877)+0.5=1.234m;

Psk4=b0h4(Ps4上+Ps4下)/2=0.01×0.5×(131.002+109.405)/2=0.601kN;

as4=h4(2Ps4上+Ps4下)/(3Ps4上+3Ps4下)=0.5×(2×131.002+109.405)/(3×131.002+3×109.405)=0.257m;

Ppk=ΣPpki=0.034+4.997+2.201+0.601=7.833kN;

as=Σ(asiPski)/Ppk=(9.067×0.034+4.518×4.997+1.234×2.201+0.257×0.601)/7.833=3.288m;

Psk=7.833kN≤Ep=13.705kN

Epkapl/(Eakaal)=13.705×3.288/(8.973×3.682)=1.364≥Ke=1.2

2、整体滑动稳定性验算

cj、φj──第j土条滑弧面处土的粘聚力(kPa)、内摩擦角(°);

bj──第j土条的宽度(m);

θj──第j土条滑弧面中点处的法线与垂直面的夹角(°);

lj──第j土条的滑弧段长度(m),取lj=bj/cosθj;

qj──作用在第j土条上的附加分布荷载标准值(kPa);

ΔGj──第j土条的自重(kN),按天然重度计算;

uj──第j土条在滑弧面上的孔隙水压力(kPa),采用落底式截水帷幕时,对地下水位以下的砂土、碎石土、粉土,在基坑外侧,可取uj=γwhwaj,在基坑内侧,可取uj=γwhwpj;滑弧面在地下水位以上或对地下水位以下的粘性土,取uj=0;

γw──地下水重度(kN/m3);

hwaj──基坑外侧第j土条滑弧面中点的压力水头(m);

hwpj──基坑内侧第j土条滑弧面中点的压力水头(m);

min{Ks1,Ks2,……,Ksi,……}=2.12≥Ks=1.3

匀质含水层中,地下水渗流的稳定性验算:

(2ld+0.8D1)∑γ`/(Δhγw)=(2×9.4+0.8×0.5)×8/(0.9×10)=17.067

(2ld+0.8D1)∑γ`/(Δhγw)=17.067≥Kf=1.1

钢材的惯性矩I(cm4)

钢材的截面抵抗矩W(cm3)

DB43/T 1715-2019标准下载钢材的弹性模量E(N/mm2)

钢材的抗弯强度设计值f(N/mm2)

钢材的抗剪强度设计值τ(N/mm2)

材料截面塑性发展系数γ

Mk=7.201kN.m

M=γ0γFMk=1×1.25×7.201=9.001kN·m

V=γ0γFVk=1×1.25×3.85=4.812kN

DB51/T 2511-2018 普通公路养护管理规范化实施指南.pdfσmax=M/(γW)=9.001×106/(1.05×88×103)=97.413N/mm2≤[f]=205N/mm2

τmax=VS/It=4.812×2048×103/(598×104×8)=0.206N/mm2≤[f]=125N/mm2

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