拱桥计算程序.xls
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1、上部结构计算等截面悬链线圬工拱桥计算程序一一、设设计计资资料料(一一)设设计计标标准准荷载孔径数据车道布置车道数C汽车挂车人群(KN/m)净跨径lo(m)净矢高fo(m)净矢跨比(fo/lo)车行道(m)人行道(m)桥面总宽度(m)2010035010 1/571132(二二)材材料料及及其其数数据据1 1、拱拱上上建建筑筑拱顶填料厚度(m)桥面系换算厚度(m)换算容重r1(KN/m3)护拱容重r2(KN/m3)腹拱容重r3(KN/m3)拱腔填料容重r4(KN/m3)0.50.24202324192 2、主主拱拱圈圈砂浆标号料石标号容重r5(KN/m3)极限抗压强度(KN/m2)极限抗剪强度(
2、KN/m2)弹性模量(KN/m2)拱圈设计温差(0C)1040246500330520000020二二、主主拱拱圈圈计计算算(一一)确确定定拱拱轴轴系系数数1 1、拟拟定定上上部部结结构构尺尺寸寸(1 1)、主主拱拱圈圈几几何何尺尺寸寸截面高度d(m)采用截面高度d(m)横截面面积A(m2)惯性矩I(m4)截面抵抗矩W(m3)截面回转半径w(m)假定拱轴系数my1/4/fsinjcosj计算跨径l(m)计算矢高f(m)拱脚水平投影X(m)拱脚竖向投影Y(m)0.98491.01.00000.08330.16670.28872.81400.210.700970.7131950.7010.140.
3、700.71主主拱拱圈圈截截面面坐坐标标表表截面号y1/fy1cosd/(2*cos)拱圈顶面y上(m)拱圈底面y下(m)x1234567801.00000010.14340.713190.70119.442310.844525.35010.8100488.21660.764310.65427.56258.870823.23820.6472896.56570.811000.61655.94927.182221.12530.5084715.15760.852380.58664.57105.744219.01340.3908203.96420.888000.56313.40124.527316.9
4、0050.2919882.96180.917820.54482.41703.506514.78860.2100002.13010.942120.53071.59942.660812.67570.1432181.45270.961370.52010.93261.972810.56380.0903080.91600.976140.51220.40381.42838.45090.0502130.50930.986960.50660.00271.01596.338100.0221330.22450.994330.5029-0.27830.72744.225110.0055060.05580.99860
5、0.5007-0.44490.55662.113120.0000000.00001.000000.5000-0.50000.50000.000(2 2)、拱拱上上构构造造几几何何尺尺寸寸(a)(a)腹腹拱拱圈圈砂浆标号料石标号截面高度d(m)净跨径l(m)净矢高f(m)净矢跨比f/lsin0cos0拱脚水平投影X(m)拱脚竖向投影Y(m)10400.330.6 1/50.6896550.7241380.210.22(b)(b)腹腹拱拱墩墩砂浆标号块石标号横墙厚度(m)10400.8腹腹拱拱墩墩高高度度计计算算表表项目X(m)=X/L=Ln(m+SQRT(m2-1)*y1=f/(m-1)*(ch
6、-1)tg=2*f*k/(m-1)/l*shcos=1/SQRT(tg*tg+1)h=y1+d/2*(1-1/cosi)-(d+f)1#横墙22.30100.87971.49077.45250.78780.78556.422#横墙18.50100.72981.23674.84970.58940.86153.873#拱座14.99750.59161.00253.05340.44070.91512.11空、实腹段分界线14.89410.58750.99563.00800.43670.91642.062 2、恒恒载载计计算算(1)(1)主主拱拱圈圈恒恒载载PkP012=Pk*A*r5*lM1/4kM
7、1/4=Mk*A*r5*l/4MjkMj=Mj*A*r5*l/40.55288672.760.126141945.520.523038066.97(1)(1)拱拱上上空空腹腹段段恒恒载载(a)(a)腹腹孔孔上上部部腹拱圈外弧跨径l外腹拱圈内弧半径R0腹拱圈重Pa(KN)侧墙护拱重Pb(KN)RAaAb填料及路面重Pc(KN)两腹拱间以上重Pd一个腹拱重P(KN)3.412.1825.4816.750.7250011.522020.1188950.5214.87107.63(b)(b)腹腹孔孔下下部部1#横墙P1(KN)2#横墙P2(KN)3#拱座P3(KN)集中力P13(KN)集中力P14(K
8、N)集中力P15(KN)121.2872.3911.00228.91180.0157.38(C)(C)拱拱上上实实腹腹段段的的恒恒载载 拱顶填料及桥面重P16曲边三角形部分重P17F1=X/L=Ln(m+SQRT(m2-1)*shch重心位置(m)220.43269.249.94230.58750.99561.16841.537911.23第 1 页上部结构计算(E)(E)半半拱拱恒恒载载对对拱拱脚脚和和1/41/4拱拱跨跨截截面面的的弯弯距距分块号恒重(KN)l/4截面拱脚截面力臂(m)力矩(KN.m)力臂(m)力矩(KN.m)P0-12672.761945.528066.97P13228.
9、913.05698.06P14180.016.851233.00P1557.38(2.32)(133.25)10.35594.03P16220.435.231152.4717.903946.50P17269.241.44388.7914.123801.48合计1628.733353.5318340.043 3、验验算算拱拱轴轴系系数数M1/4/Mj判断0.18修改拱轴系数(二二)拱拱圈圈弹弹性性中中心心及及弹弹性性压压缩缩系系数数ys/f弹性中心ysrw2rw2/f2系数系数11/(1+)0.33343.38210.08330.0008111.12729.185940.009010.00744
10、0.00895(三三)主主拱拱圈圈截截面面内内力力计计算算1 1、恒恒载载内内力力计计算算(1(1)不不计计弹弹性性压压缩缩的的恒恒载载推推力力Hg=Mj/f=1808.08(KN)(2(2)计计入入弹弹性性压压缩缩的的恒恒载载内内力力计计算算表表项目拱顶3*l/8截面l/4截面l/8截面拱脚y=ys-y13.382.871.25-1.78-6.76cos1.000000.986960.942120.852380.71319Hg=(1-1/(1+))*Hg1791.901791.901791.901791.901791.90Ng=Hg*1/(1+)*cos1808.081831.961919.
11、162121.212535.19Mg=1/(1+)*Hg*y54.7046.4720.25-28.72-109.361 1、活活载载内内力力计计算算(1 1)、汽汽车车、挂挂车车和和人人群群荷荷载载的的内内力力车道折减系数单位拱宽汽车等代荷载K1系数单位拱宽人群等代荷载K2(KN)单位拱宽挂车等代荷载K2系数1.000.153850.346150.09615单单位位拱拱宽宽的的计计算算荷荷载载表表不不计计弹弹性性压压缩缩的的汽汽车车和和人人群群内内力力计计算算表表截面项目汽车-20级等代荷载人群荷载合计截面项目计算荷载影响线面积力或弯矩K20K1K2系数乘数面积拱顶Mmax39.79626.1
12、2250.356.4686拱顶Mmax6.46860.00732570.5918.6368120.5546相应的H124.35933.74760.354.0937相应的H14.09370.0691253.4217.519271.7192Mmin28.08464.32070.354.6669Mmin4.6669-0.00462570.59-11.7219-54.7044相应的H122.02243.38810.353.7342相应的H13.73420.0590253.4214.959755.8626l/4截面Mmax37.18365.72060.356.0667l/4截面Mmax6.06670.0
13、0882570.5922.6726137.5480相应的H124.27193.73410.354.0803相应的H14.08030.0404253.4210.225741.7238Mmin21.48643.30560.353.6518Mmin3.6518-0.01052570.59-26.9141-98.2835相应的H120.42433.14220.353.4884相应的H13.48840.0878253.4222.253277.6271拱脚Mmax20.51173.15560.353.5018拱脚Mmax3.50180.01992570.5951.2575179.4936相应的H118.2
14、3882.80600.353.1521相应的H13.15210.0924253.4223.421573.8275相应的V5.60090.86170.35相应的V汽车0.86170.500050.7025.350521.8439Mmin28.93414.45140.354.7976人群0.350.17078.65312.9953相应的H113.49182.07570.352.4218Mmin4.7976-0.01412570.59-36.2196-173.7654相应的V13.81072.12470.35相应的H12.42180.0358253.429.059921.9415相应的V汽车2.12
15、470.550.7025.350553.8628人群0.350.3293316.69745.7799不不计计弹弹性性压压缩缩的的挂挂车车内内力力计计算算表表计计入入弹弹性性压压缩缩的的汽汽车车和和人人群群内内力力计计算算表表截面项目汽车-20级等代荷载影响线面积力或弯矩项目拱顶l/4截面拱脚K801.25/9*K80MmaxMminMmaxMminMmaxMmin拱顶Mmax77.15847.419118.6368138.2676轴向力cos1.00000.94210.7132相应的H162.79256.037717.5192105.7766sin0.00000.33530.7010Mmin3
16、9.42243.7906-11.7219-44.4331与M相应的Hi71.719255.862641.723877.627173.827521.9415相应的H134.5723.324214.959749.7293与M相应的V24.839259.6426l/4截面Mmax77.12057.415422.6726168.1271N=H1*cos+V*sin71.719255.862644.287182.396270.064657.4562相应的H150.00794.808510.225749.1697H=1/(1+)*H10.64160.49970.37330.69440.66040.1963
17、Mmin51.85654.9862-26.9141-134.1989N=H*cos0.64160.49970.35160.65420.47100.1400相应的H145.49444.374522.253297.3458NP=N-N71.077655.362843.935581.741969.593657.3162拱脚Mmax50.28184.834851.2575247.8193弯矩M120.5546-54.7044137.5480-98.2835179.4936-173.7654相应的H141.24483.965823.421592.8861y=ys-y13.38211.2520-6.761
18、3相应的V11.6361.118825.350528.3633M=H*y2.16991.69020.46730.8694-4.4654-1.3271Mmin71.39346.8648-36.2196-248.6384MP=M+M122.7246-53.0142138.0153-97.4141175.0282-175.0926相应的H142.61684.09789.059937.1255相应的V36.12053.473125.350588.0454第 2 页上部结构计算计计入入弹弹性性压压缩缩的的挂挂车车内内力力计计算算表表项目拱顶l/4截面拱脚MmaxMminMmaxMminMmaxMmin轴
19、向力cos1.00000.94210.7132sin0.00000.33530.7010与M相应的Hi105.776649.729349.169797.345892.886137.1255与M相应的V28.363388.0454N=H1*cos+V*sin105.776649.729352.1905103.326486.127388.1948H=1/(1+)*H10.94630.44490.43990.87080.83090.3321N=H*cos0.94630.44490.41440.82040.59260.2369NP=N-N104.830449.284551.7761102.505985
20、.534687.9579弯矩M138.2676-44.4331168.1271-134.1989247.8193-248.6384y=ys-y13.38211.2520-6.7613M=H*y3.20031.50460.55071.0903-5.6182-2.2455MP=M+M141.4679-42.9286168.6778-133.1086242.2011-250.8840温温度度内内力力计计算算表表项目温度上升温度下降拱圈砌体线膨胀系数系数温度产生的水平力Ht(KN)拱顶l/4截面拱脚拱顶l/4截面拱脚cos1.000000.942120.713191.000000.942120.713
21、19y=ys-y13.381.25-6.763.381.25-6.768.00E-06 0.0993736.7812Nt=Ht*cos6.78126.38874.8363-6.7812-6.3887-4.8363Mt=-Ht*y-22.9348-8.490145.849522.93488.4901-45.8495(四四)主主拱拱圈圈正正截截面面强强度度验验算算(1 1)主主拱拱圈圈荷荷载载效效应应不不利利组组合合的的设设计计值值编号荷载效应系数拱顶l/4截面拱脚M(KN.m)N(KN)M(KN.m)N(KN)M(KN.m)N(KN)1恒载1.2或0.954.701808.0820.251919
22、.16-109.362535.192汽车-20级Mmax1.4122.7271.08138.0243.94175.0369.593汽车-20级Mmin-53.0155.36-97.4181.74-175.0957.324挂车-100Mmax141.47104.83168.6851.78242.2085.535挂车-100Mmin-42.9349.28-133.11102.51-250.8887.966温度上升-22.936.78-8.496.3945.854.847温度下降22.93-6.788.49-6.39-45.85-4.84荷载组合Mj(KN.m)Nj(KN)Mj(KN.m)Nj(KN
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