圬工拱桥设计计算表

截面单位拱宽的计算荷载（表1－5）汽车－20级等代荷载项目人群荷载K202/9*K20Mmax相应HMmin相应HMmax相应HMmin相应HMmax相应H相应VMmin相应H相应V33.784563519.668679923.554660517.98970931.426621719.971961218.952796319.301864218.33877695.92990323.74064117.5076814.3708185.2343693.9977136.9836944.4382144.2117334.2893034.0752841.3177565.2756980.666666670.666666670.666666670.666666670.666666670.666666670.666666670.666666670.666666670.666666670.66666667合计8.1743475.0374845.9010364.664387.650365.104884.8783994.955974.741955.942365拱顶1/4跨径19.65279634.3672880.666666675.033955拱脚10.66681572.3704030.666666673.0370711.07382542.460850.66666667不计弹性压缩的汽车和人群内力（表1－6）截面项目Mmax相应HMmin相应HMmax相应HMmin相应HMmax相应H汽车相应V人群Mmin相应H相应V汽车人群计算荷载表(III)值拱顶1/4截面8.1743470.007255.0374840.069135.901036-0.004564.664380.059037.650360.008825.0339550.040355.10488-0.010474.8783990.087814.955970.019944.741950.092421.3177560.170670.6666670.666666675.9423653.037072.46085-0.014090.035750.32933影响线面积乘数2570.588ι2ι2/f253.42462570.588ι2ι2/f253.42462570.588ι2ι2/f253.42462570.588ι2ι2/f253.424622570.588ιι2/f253.4246ιιιι22面积18.63676617.519243-11.7218814.95965422.67258910.225683-26.9140622.25321451.25753223.4215028.653134550.7009733.8006472570.588-36.21959253.42469.059929550.7009716.6973533.800647拱脚/f0.6666670.66666667项目计入弹性压缩的汽车和人群内力（表1－7）拱顶1/4截面MmaxMminMmaxMmin拱脚MmaxMmin轴向力弯矩10.942120.7131900.3352758650.70097与M相应的H88.2529118269.7775151.4756235108.5601111.063627.515641与M相应的V33.9364963.623441N88.2529118269.7775154.6380753115.2295102.997964.222004DH0.8135778420.6432580.474538751.0007841.0238630.2536587DN0.8135778420.6432580.447072450.9428580.7302090.1809068Np87.4393339869.1342554.1910028114.2867102.267764.041097M152.3433973-69.1712173.453479-137.393254.0308-215.23y＝ys-y13.382127341.25201229-6.76127766DM＝DN*y2.7516238632.1755820.55974021.18047-4.93714-1.223161Mp＝M+DM155.0950211-66.9957174.013219-136.213249.0936-216.4532不计入弹性压缩的挂车内力（表1－8）挂车－100等代荷载影响线面积力或力矩项目1.25/9*K80K80Mmax相应HMmin相应HMmax相应HMmin相应HMmax相应H相应VMmin相应H相应V70.058388951.33922434.691573229.535495668.602311342.637359836.786427741.344369533.51446659.387844860.59716589.7303327.1304484.8182744.1021529.5280995.9218565.1092265.7422744.6547871.3038678.41627318.636765617.5192426-11.72188314.959654222.6725893-26.9140622.253214251.257531923.42150168.65313455-36.21959181.3419124.92-56.479261.36678216.0267-159.381113.6967294.3348109.022111.28254-304.834coswsinw截面拱顶1/4截面42.89343745.95742210.225682660.91871拱脚31.30231134.3475439.0599294639.3884429.27054414.06535316.697350567.88063计入弹性压缩的挂车内力(表1-9)拱顶1/4截面拱脚项目MmaxMminMmaxMminMmaxMmincosw10.942120.71319sinw00.3352758650.70097与M相应的H1124.920044761.3667860.9187052113.6967109.022139.388435与M相应的V11.2825467.88063轴力N124.920044761.3667864.6613013120.681885.6621975.673723DH1.151601440.5657220.561591771.0481371.0050430.3631105DN1.151601440.5657220.529086840.9874710.7167870.2589668Np123.768443260.8010664.1322145119.694384.9454175.414756M181.3419128-56.4792216.026671-159.381294.3348-304.834弯矩y＝ys-y1DM＝DN*yMp＝M+DM3.382127341.25201229-6.761277663.8948627161.9133450.662423221.236325-4.84639-1.750946185.2367755-54.5659216.689094-158.145289.4884-306.5849合拢温度拱圈线膨胀系数α0.000008150C温度变化在弹性中心产生的水平11.54885项目coswy＝ys-y1Nt=Ht*cos温度内力(表1-10)温度上升拱顶1/4截面拱脚10.942120.713193.382127341.25201229-6.76128t

11.5488510.880402568.236524Mt=-Ht*y-39.059681-14.459302178.08498主拱圈荷载效应不利组合的设计值(1-11)拱顶1/4截面荷载效应系数MNMN恒载1.2或0.949.77847411581.82818.427241680.7655汽车-20级Mmax1.4155.09502187.43933174.013254.191003汽车-20级Mmin1.4-66.99566769.13425-136.213114.28669挂车-100Mmax1.4185.236776123.7684216.689164.132215挂车-101Mmin1.4-54.56589960.80106-158.145119.69429温度上升1.4-39.05968111.54885-14.459310.880403温度下降1.439.0596813-11.548914.4593-10.8804荷载组合MjNjMjNj恒+汽Mmax276.8671982020.609265.73122092.786组合I1恒+汽Mmin-48.9933071994.982-174.1132176.92恒+汽Mmax+温升177.7469161629.422196.39051686.4149恒+汽Mmin+温升-82.9414891608.92-155.4851753.722组合Ⅱ0.8恒+汽Mmax+温降265.2406021603.553228.77941662.0428恒+汽Mmin+温降4.552197311583.051-123.0961729.3499恒+挂Mmax255.2525241657.176260.38191685.363组合Ⅲ0.8恒+挂Mmin-25.2733061586.652-163.8551747.5925主拱圈抗力效应设计值(表1-12)编号与上表对应e0＝Mj/Njα＝8910111213141589100.137022-0.024560.109086-0.051550.1654080.0028760.154029-0.015930.126975-0.079980.1164540.81610120.99281470.87504180.96909540.75272370.99990080.778330.99696460.83787740.9287080.8600303编号123456789101112131415截面查表值Raj12300123001230012300123001230012300123001230012300γm1.921.921.921.921.921.921.921.921.921.92截面面积A1111111111拱顶12300123001230012300123001230012300123001230012300123001230012300123001.921.921.921.921.921.921.921.921.921.921.921.921.921.92111111111111111/4截面拱脚111213141589101112131415-0.088660.13765-0.071180.154496-0.093760.092005-0.152870.13028-0.112840.053416-0.193240.113055-0.19740.91380270.81472430.94268460.77728140.90457350.90778620.78091750.83077130.8674440.96689480.69021460.86701360.6809818注:

该种颜色格子为数据自动输出

红色字体为人为输入栏

汽－20级Mmax相应H相应VMmin相应H相应VMmax查表数据输入栏目拱顶1/4截面34.131.719.923.818.229.619.82019.127.817.719.61710.66666667拱脚19.418.562410.811.21816.2520.38.99.4计算矢高计算跨径50.7009750.7009750.7009750.7009750.7009750.7009750.7009750.7009750.7009750.7009750.7009750.7009710.143405跨径50m相应H16.6相应V跨径60mMmin20.3相应H15.2相应V人行道宽度b单位拱宽人群等代荷载K2弹性中心ys

力或弯矩152.343488.25291-69.171269.77751173.453551.47562-137.393108.5601254.0308111.063611.4027222.53376-215.2327.5156441.0896822.53376μ1μ

μ1/（1+μ）

Hg'

3.382127340.00928730.00744050.0092187081596.54644

计入弹性压缩的恒载内力(表1-4)项目拱顶1/4截面拱脚y=y2-y13.382127341.25201229-6.7612777coswHg=(1-μ1/（1+μ）)Hg'10.942120.713191581.8283441581.828341581.828341581.8283441680.765512228.1022349.7784740618.4272368-99.513132NgMg挂－100级Mmax相应H相应VMmin相应H相应VMmax跨径60m相应H相应VMmin相应H相应V人行道宽度b查表数据输入栏目拱顶1/4截面70.569.151.93529.964.243.930.624.743.343.137.26237.536.531.310.66666667拱脚41.833.99.561.231.829.635.328.47.952.624.724.9计算矢高计算跨径50.7009750.7009750.7009750.7009750.7009750.7009750.7009750.7009750.7009750.7009750.7009750.7009710.143405跨径50m单位拱宽人群等代荷载K2变化温差±180C的水平力Ht拱脚MN-99.51312228.102249.0936102.2677-216.45364.0411289.488484.94541-306.58575.4147678.084988.236524-78.085-8.23652MjNj259.16932816.897-422.452763.38294.79062262.743-250.5052219.929119.88022244.293-425.4152201.479252.57752234.117-438.9082223.443)

RN[e0](注:y=d/2)5228.1496360.2190.5*y0.250.255605.7360.36208.2680.34822.1366405.6140.6*y0.30.34986.1770.36386.8040.35367.6520.5*y0.255949.5350.255509.5690.3AB2562

5854.0495219.3276039.0734979.4595794.9245815.5055002.7535322.1285557.0636194.174421.6875554.3064362.5390.6*y0.5*y0.6*y0.30.30.30.30.30.250.250.30.30.30.30.30.3动输出栏入栏