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第九章 单层式梁基本椅架杆力影响线单层式梁的基本桁架的计算图式,见图1标准三角(或加强三角)和各类端构架的中间竖杆都在计算图式中考虑。杆件的杆力影响线图形基本上为两大类,单符号三角形影响线和多符号三角形影响线,见图1。各种跨度中各类杆件的控制杆件的杆力影响线计算资料,详表1标准跨度单层式梁基本桁架杆力影响线参数资料表和表2非标准跨度单层式梁基本桁架杆力影响线参数资料表。并说明如下:一、本梁不论跨度大小,主桁都是由几种基本构件拼组而成,所以每种跨度只计算各构件中同类杆件的控制杆件的影响线。二、若干跨度的拼组,虽跨度相同,但可用不同长度的端构架组成。对于影响线相同的杆件,只在一种组合中列出,其余杆件仅分别列出两种不同组合中的控制杆件。不控制的杆件未列。三、各种跨度主桁的拼组,应尽可能采用2米长的端构架(代号为)组成,少用辅助端构架,因为辅助端构架主要用于调整跨长,装备数量较少。例如24米烤度,两端可各用一个2米长的端构架组成,也可以一端用一个2.5米和另一端用一个1.5米长的辅助端构架组成,除非不得已时,应用前一种型式拼组。四、跨度为32米及以上的单层式梁,只有在不得已时,在米轨铁路桥梁上采用加强型六四式铁路军用梁时使用。由于挠度较大,除必须严格控制行车速度外,一般情况应尽可能采用双层式梁。表内仅列出32米和36米两种跨度的控制杆件影响线的参考资料。五、杆力影响线的计算方法详第十二章。 L计 2 4 6 8 8 6 4 2 1 3 5 7 7 5 31影响线单符号影响线= h 影响线面积 (不大于0.5) 多符号影响线=(+)+(-) 正值影响线面积+h(-) 负值影响线面积- (+) (-) (-) (+) 图1表1 标准跨度单层式梁基本桁架杆力影响线参数资料表跨度m端构架类型(米)杆件部位杆号影响线性质备注顶点位置顶点高加载长度(米)加载面积(米)总面积(米)1+E(r-1)左右hL%16.02.0米2.0米上弦240.063-0.6216.00-5.0-5.01.00660.500-2.6716.00-21.4-21.41.00下弦350.125+1.1716.00+9.4+9.41.00570.375+2.5016.00+20.0+20.01.00腹杆120-1.0016.00-8.0-8.01.00230.063+1.1316.00+9.0+9.01.00340.063-1.0514.93-7.9-7.91.000.063+0.081.0701.00450.125+1.2513.71+8.6+8.41.000.125-0.212.29-0.21.00560.125+0.424.58+1.0-4.91.000.125-1.0411.42-5.91.0016.01.5米1.5米上弦240.094-0.3016.0-2.40-2.401.00660.469-2.6516.0-21.20-21.201.00240.156-0.8416.0-6.72-8.721.00下弦750.406+2.5716.0+20.56+20.561.00530.156+1.4116.0+11.28+11.281.00腹杆120-1.0016.0-8.00-8.001.00230.094+0.9516.0+7.60+7.601.00340.094-1.0916.0-8.72-8.721.00230.156+1.2016.0+9.60+9.601.00450.125+1.3014.3+9.30+9.181.00560.125-1.0912.0-6.54-5.801.0020.02.0米2.0米上弦240.05-0.6320.00-6.3-6.31.00680.40-3.2020.00-3.20-32.01.00下弦350.10+1.2020.00+1.20+12.01.00770.50+3.3320.00+3.33+3.331.00腹杆1201.0020.00-10.0-1.001.00230.05+1.1420.00+11.4+11.41.00340.05-1.0818.95-10.2-10.21.000.05+0.061.0501.00450.10+1.3317.77+1.18+11.61.000.10-0.172.23-0.21.00560.10+0.334.44+0.7-8.41.000.10-1.1715.56-9.11.0020.01.5米2.5米上弦240.075-0.3120.0-3.10-3.101.00860.425-3.2620.0-32.60-32.601.00240.125-0.8820.0-8.80-8.801.00下弦770.475+3.3320.0+33.30+33.301.00530.125+1.4620.0+14.60+14.601.00腹杆120-1.0020.0-10.00-10.001.00230.075+0.9720.0+9.70+9.701.00340.075-1.1120.0-11.10-11.101.00230.125+1.2420.0+12.40+12.401.00450.100+1.3818.3+12.63+12.521.00560.100-1.2116.1-9.74-9.171.00跨度m端构架类型(米)杆件部位杆号影响线性质备注顶点位置顶点高加载长度(米)加载面积(米)总面积(米)1+E(r-1)左右hL%24.02.0米2.0米上弦240.042-0.6424.00-7.7-7.71.00880.500-4.0024.00-48.0-48.01.00下弦350.083+1.2224.00+14.6+14.61.00790.417+3.8824.00+46.6+46.61.00腹杆120-1.0024.00-12.0-12.01.00230.042+1.1524.00+13.8+13.81.00340.042-1.1022.96-12.6-12.61.000.042+0.051.0401.00450.083+1.3921.82+15.2+15.01.000.083-0.142.18-0.21.00560.083+0.284.37+0.6-11.71.000.083-1.2519.63-12.31.0024.01.5米1.5米上弦240.063-0.3124.0-3.72-3.721.00880.479-3.9924.0-47.88-47.881.00240.104-0.9024.0-10.80-10.801.00下弦970.437+3.9424.0+47.28+47.281.00530.104+1.4924.0+17.88+17.881.00腹杆120-1.0024.0-12.00-12.001.00230.063+0.9924.0+11.88+11.881.00340.063-1.3324.0-13.56-13.561.00230.104+1.2724.0+15.24+15.241.00450.083+1.4322.36+15.99+15.911.00560.083-1.2920.18-13.02-12.561.0028.02.0米2.0米上弦240.036-0.6428.00-9.0-9.01.008100.428-4.5728.00-64.0-64.01.00下弦350.071+1.2428.00+17.4+17.41.00990.500+4.6728.00+65.4+65.41.00腹杆120-1.0028.00-14.0-14.01.00230.036+1.1628.00+16.2+16.21.00340.036-1.1226.97-15.1-15.11.000.036+0.041.0301.00450.071+1.4325.85+18.5+18.41.000.071-0.122.15-0.11.00560.071+0.244.31+0.5-15.01.000.071-1.3123.69-15.51.0028.01.5米1.5米上弦1080.447-4.6228.0-64.68-64.681.00下弦990.482+4.6628.0+65.24+65.241.00腹杆120-1.0028.0-14.00-14.001.00230.054+1.0028.0+14.00+14.001.00340.054-1.1428.0-15.96-15.961.00230.089+1.2928.0+18.06+18.061.00450.071+1.4626.38+19.26+19.191.00560.071-1.3424.23-16.23-15.831.0032.02.02.0上弦10100.50-5.3332.0-85.3-85.31.00腹杆450.063+1.4629.87+21.7+21.61.0032.01.51.5上弦10100.485-5.3332.0-85.3-85.31.00腹杆450.063+1.4830.4+22.5+22.41.0036.02.02.0上弦10120.444-5.9236.0-106.7-106.71.00腹杆450.056+1.4833.89+25.0+24.91.00表2 非标准跨度单层式梁基本桁架杆力影响线参数资料表跨度m端构架类型(米)杆件部位杆号影响线性质备注顶点位置顶点高加载长度(米)加载面积(米)总面积(米)1+E(r-1)左右hL%16.52.5米2.0米上弦240.15-0.8516.5-7.00-7.001.00660.485-2.7516.5-22.722.71.00240.121-0.5916.5-4.87-4.871.00下弦350.151+1.4116.5+11.64+11641.00570.394+2.6216.5+21.6+21.61.00腹杆120-1.0016.5-8.25-8.251.00230.151+1.2016.5+9.9+9.91.00230.121+1.0516.5+8.66+8.661.00340.121-1.0516.5-8.66-8.661.00450.121+1.2614.23+8.97+8.741.00560.121-1.0611.95-6.33-5.421.0016.51.5米3.0米上弦240.091-0.3016.5-2.48-2.481.00660.455-2.7316.5-22.52-22.521.00240.182-1.0916.5-8.99-8.991.00下弦750.424+2.6816.5+22.11+22.111.00530.182+1.6416.5+13.53+13.531.00腹杆120-1.0016.5-8.25-8.251.00230.091+0.9616.5+7.92+7.921.00340.091-1.0916.5-8.99-8.991.00230.182+1.3616.5+11.22+11.221.00450.121+1.3214.80+9.77+9.641.00560.121-1.1112.52-6.95-6.251.0017.02.5米2.5米上弦240.147-0.8517.0-7.23-7.231.00660.500-2.8317.0-24.08-24.081.00下弦350.147+1.4217.0+12.07+12.071.00570.382+2.6817.0+22.80+22.801.00腹杆120-1.0017.0-8.50-8.501.00230.147+1.2117.0+10.30+10.301.00340.147-1.0217.0-8.67-8.671.00450.118+1.2314.2+8.73+8.391.00560.118-1.0311.9-6.13-5.001.0017.02.0米3.0米上弦240.118-0.5917.0-5.02-5.021.00660.471-2.8217.0-23.97-23.971.00240.177-1.1017.0-9.35-9.351.00下弦750.412+2.7417.0+23.29+23.291.00530.177+1.6517.0+14.03+14.031.00腹杆120-1.0017.0-8.50-8.501.00230.118+1.0617.0+9.02+9.021.00340.118-1.0617.0-9.02-9.021.00230.177+1.3717.0+11.65+11.651.00450.118+1.2814.73+9.43+9.201.00560.118-1.0812.47-6.74-5.861.00跨度m端构架类型(米)杆件部位杆号影响线性质备注顶点位置顶点高加载长度(米)加载面积(米)总面积(米)1+E(r-1)左右hL%17.53.0米2.5米上弦240.171-1.1017.5-9.63-9.631.00660.486-2.9217.5-25.57-25.571.00240.143-0.8617.5-7.53-7.531.00下弦350.171+1.6617.5+14.52+14.521.00570.400+2.8017.5+24.50+24.501.00腹杆120-1.0017.5-8.75-8.751.00230.171+1.3817.5+12.08+12.081.00230.143+1.2117.5+10.59+10.591.00340.143-1.0317.5-9.01-9.011.00450.114+1.2414.68+9.10+8.761.00560.114-1.0512.42-6.53-5.441.0018.03.0米3.0米上弦240.167-1.1118.0-9.99-9.991.00660.500-3.0018.0-27.00-27.001.00下弦350.167+1.6718.0+15.02+15.021.00570.389+2.8518.0+25.64+25.641.00腹杆120-1.0018.0-9.00-9.001.00230.167+1.3918.0+12.5+12.51.00340.167-1.0018.0-9.00-9.001.00450.111+1.2014.62+8.77+8.301.00560.111-1.0212.38-6.31-5.021.0019.01.5米1.5米上弦240.079-0.3119.0-2.95-2.951.00680.395-3.0319.0-28.79-28.791.00下弦530.079+0.9219.0+8.74+8.741.00770.500+3.1719.0+30.12+30.121.00腹杆120-1.0019.0-9.50-9.501.00230.079+0.9719.0+9.22+9.221.00340.079-1.1119.0-10.55-10.551.00450.105+1.3617.33+11.78+11.671.00560.105-1.1815.08-8.90-8.291.0019.52.0米1.5米上弦240.103-0.6019.5-5.85-5.851.00680.410-3.1519.5-30.72-30.721.00240.077-0.3119.5-3.02-3.021.00下弦350.103+1.2019.5+11.70+11.701.00770.487+3.2519.5+31.69+31.691.00腹杆120-1.0019.5-9.75-9.751.00230.103+1.0819.5+10.53+10.531.00230.077+0.9719.5+9.46+9.461.00340.077-1.1119.5-10.82-10.821.00450.103+1.3717.83+12.21+12.101.00560.103-1.2015.60-9.36-8.771.0020.52.5米2.0米上弦240.122-0.8820.5-9.03-9031.00680.414-3.3120.5-34.00-34001.00240.098-0.6020.5-61.5-6151.00下弦350.122+1.4620.5+15.00+15.001.00770.488+3.4120.5+35.00+35.001.00腹杆120-1.0020.5-10.25-10.251.00230.122+1.2520.5+12.81+12.811.00230.098+1.0820.5+11.10+11.101.00340.098-1.0820.5-11.10-11.101.00450.098+1.3418.29+12.25+12.071.00560.098-1.1816.06-9.48-8.721.00跨度m端构架类型(米)杆件部位杆号影响线性质备注顶点位置顶点高加载长度(米)加载面积(米)总面积(米)1+E(r-1)左右hL%20.51.5米3.0米上弦240.073-0.3120.5-3.18-3.181.00860.439-3.3720.5-34.54-34.541.00240.146-1.1420.5-11.69-11.691.00下弦770.463+3.4020.5+34.85+34.851.00530.146+1.7120.5+17.53+17.531.00腹杆120-1.0020.5-10.25-10.251.00230.073+0.9820.5+10.05+10.051.00340.073-1.1120.5-11.38-11.381.00230.146+1.4220.5+14.56+14.561.00450.098+1.3818.84+13.00+12.901.00560.098-1.2216.62-10.14-95.81.0021.02.5米2.5米上弦240.119-0.8821.0-92.3-92.31.00680.405-3.3821.0-35.50-35.501.00下弦350.119+1.4721.0+15.44+15.441.00770.500+3.5021.0+36.76+36.761.00腹杆120-1.0021.0+10.50+10.501.00230.119+1.2521.0+13.13+13.131.00340.119-1.0621.0-11.13-11.131.00450.095+1.3118.23+11.95+11.671.00560.095-1.1516.02-92.1-8.311.0021.02.0米3.0米上弦240.095-0.6021.0-63.0-6.301.00860.429-3.4321.0-36.02-36.021.00240.143 -1.1521.0-12.08-12.081.00下弦770.476+3.4921.0+36.65+36.651.00530.143+1.7221.0+18.06+18.061.00腹杆120-1.0021.0-10.50-10.501.00230.095+1.0921.0+11.45+11.451.00340.095-1.0921.0-11.45-11.451.00230.143+1.4321.0+15.02+15.021.00450.095+1.3518.79+12.68+12.501.00560.095-1.1916.58-9.87-9.161.0021.53.0米2.5米上弦240.139-1.1521.5-12.36-12.361.00680.418-3.4921.5-37.52-37.521.00240.116-0.8821.5-9.46-9.461.00下弦350.139+1.7221.5+18.49+18.491.00770.488+3.5821.5+38.49+38.491.00腹杆120-1.0021.5-10.75-10.751.00230.139+1.4321.5+15.37+15.371.00230.116+1.2521.5+13.44+13.441.00340.116-1.0621.5-11.40-11.401.00450.093+1.3218.75+12.38+12.121.00560.093-1.1616.54-9.59-8.721.0022.03.0米3.0米上弦240.136-1.1522.0-12.65-12.651.00680.410-3.5422.0-38.94-38.941.00下弦350.136+1.7322.0+19.03+19.031.00770.500+3.6622.0+40.26+40.261.00腹杆120-1.0022.0-11.00-11.001.00230.136+1.4422.0+15.84+15.841.00340.136-1.0422.0-11.44-11.441.00450.091+1.2918.70+12.06+11.681.00560.091-1.1416.50-9.41-8.361.00跨度m端构架类型(米)杆件部位杆号影响线性质备注顶点位置顶点高加载长度(米)加载面积(米)总面积(米)1+E(r-1)左右hL%23.01.5米1.5米上弦240.065+0.3123.0-3.57-3.571.00880.500-3.8323.0-44.05-44.051.00下弦350.065+0.9323.0+10.70+10.701.00790.413+3.7223.0+42.78+42.781.00腹杆120-1.0023.0-11.50-11.501.00230.065+0.9823.0+11.27+11.271.00340.065-1.1223.0-12.88-12.881.00450.087+1.4121.36+15.06+14.971.00560.087-1.2719.17-12.17-11.691.0023.52.0米1.5米上弦240.085-0.6123.5-7.17-7.171.00880.490-3.9223.5-46.06-46.061.00240.064-0.3123.5-3.64-3.641.00下弦350.085+1.2223.5+14.34+14.341.00790.425+3.8323.5+45.00+45.001.00腹杆120-1.0023.5-11.75-11.751.00230.085+1.1023.5+12.93+12.931.00230.064+0.9923.5+11.63+11.631.00340.064-1.1223.5-13.16-13.161.00450.085+1.4221.86+15.52+15.431.00560.085-1.2819.67-12.59-12.111.0024.52.5米2.0米上弦880.490-4.0924.5-50.1-50.11.00下弦790.429+4.0024.5+49.0+49.01.00腹杆120-1.0024.5-12.25-12.251.00230.102+1.2724.5+15.55+15.551.00230.082+1.1024.5+13.49+13.491.00340.082-1.1024.5-13.49-13.491.00450.082+1.4022.32+15.62+15.471.00560.082-1.2620.15-12.69-12.101.0024.51.5米3.0米上弦880.470-4.0724.5-49.8-49.81.00下弦970.450+4.0524.5+49.6+49.61.00腹杆120-1.0024.5-12.25-12.251.00230.061+0.9924.5+12.1+12.11.00340.061-1.1324.5-13.8-13.81.00230.123+1.4624.5+17.9+17.91.00450.082+1.4322.87+16.36+16.281.00560.082-1.2920.69-13.36-12.901.0025.02.5米2.5米上弦880.500-0.41725.0-52.1-52.11.00下弦790.420+0.40625.0+50.8+50.81.00腹杆120-1.0025.0-12.5-12.51.00230.100+1.2725.0+15.88+15.881.00340.100-1.0825.0-13.5-13.51.00450.080+1.3722.28+15.3+15.01.00560.080-1.2320.11-12.4-11.61.0025.02.0米3.0米上弦880.480-4.1625.0-52.0-52.01.00下弦970.440+4.1125.0+51.4+51.41.00腹杆120-1.0025.0-12.5-12.51.00230.80+1.1025.0+13.8+13.81
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