预应力连续刚构桥毕业设计(7)

1.000.800.600.400.20(KN)0.00-0.20-0.40图5-18 第49号截面剪力影响线 0.0050.00100.00150.00200.00250.00(m)300.00 10.008.006.004.00(KN.m)2.000.00-2.000.0050.00100.00150.00200.00250.00(m)300.00 图5-19 第55号截面弯矩影响线 0.600.400.20(KN)0.00-0.20-0.40-0.60图5-20 第55号截面剪力影响线 0.0050.00100.00150.00200.00250.00(m)300.00 在上述计算出影响线的基础上考虑的荷载横向分布系数，直接进行加载，活载包括人群、汽车。本设计的活载为：人群荷载3KN/㎡；汽车采用公路2级。变截面连续箱梁横向分布系数的计算采用等代简支梁法。具体步骤为：1、采用合适的方法分别求出实际梁各跨跨中在P=1作用下的挠度?非，本设计采

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用平面有限元法计算；2、应用式C??2mm?1?111???2.ITC??I?i?1ITi??T0ITC求抗扭惯矩换算系数C?；3、应用式

?Pl3?简?和CW?简求等代简支梁的抗弯惯矩换算系数CW；4、将CW和C?代入式

48EIC?非??1l2G1?..12EC?ITC求抗扭修正系数；5、将?代入修正偏压法的公式和绘出边腹板的荷载

?CWIC/n?.?ai2横向分布影响线，然后在上面进行最不利的横向加载，求出荷载横向分布的最大值mmax。通过计算本设计的荷载横向分布系数为汽车：2.3；人群：1.15。本设计纵向加载采用桥梁博士程序进行，通过手算一个截面进行核对，计算过程如下：

1、取31（第二刚构墩支点截面）截面弯矩影响线图形加载

分析31截面影响线知截面主要承受负弯矩，把公路2级车道荷载按最不利原则布置在截面弯矩影响线上得计算加载简图

图5-21 31截面影响线加载计算简图

综合考虑汽车冲击系数、荷载横向分布系数的影响则汽车最小弯矩：

Mmin=-1.15? 2.30? [7.875?（240.21+1256.04）+270?19.22]

=-1.05?2.347?17045.42

=-42005.9kN.m

比较用程序计算所得Mmin=-40700kN.m，手算结果与电算结果相差不大。

通过验算表明电算结果具有足够的精度，计算结果可靠。现将各截面（主要控制截面）活载内力列表如下：

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表 5-2 汽车最大活载内力

节点号 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40

汽车MaxM (kN.m) 2.34E+03 4.35E+03 6.05E+03 7.43E+03 7.91E+03 9.16E+03 9.83E+03 1.01E+04 1.01E+04 9.94E+03 9.58E+03 9.09E+03 8.44E+03 7.59E+03 6.94E+03 6.04E+03 5.45E+03 4.59E+03 3.99E+03 3.45E+03 2.83E+03 2.29E+03 1.86E+03 1.48E+03 1.06E+03 7.08E+02 4.62E+02 9.66E+02 1.73E+03 2.88E+03 2.85E+03 2.78E+03 2.69E+03 2.63E+03 2.67E+03 2.95E+03 3.26E+03 3.62E+03 4.02E+03

汽车MaxQ (kN) 9.83E+02 8.92E+02 8.05E+02 7.24E+02 6.92E+02 6.04E+02 5.09E+02 4.48E+02 3.93E+02 3.45E+02 3.03E+02 2.63E+02 2.28E+02 1.96E+02 1.68E+02 1.42E+02 1.20E+02 1.00E+02 8.30E+01 6.78E+01 5.45E+01 4.29E+01 3.28E+01 2.41E+01 1.66E+01 9.88E+00 5.61E+00 4.33E+03 4.30E+03 1.79E+03 1.78E+03 1.74E+03 1.69E+03 1.64E+03 1.59E+03 1.54E+03 1.49E+03 1.44E+03 1.39E+03

汽车MaxN (kN) 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 1.70E+02 1.70E+02 3.58E+02 3.58E+02 3.58E+02 3.58E+02 3.58E+02 3.58E+02 3.58E+02 3.58E+02 3.58E+02 3.58E+02

节点号 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94

汽车MaxM (kN.m) 1.05E+04 1.03E+04 9.96E+03 9.32E+03 8.78E+03 8.20E+03 7.73E+03 7.35E+03 6.76E+03 6.35E+03 5.72E+03 5.15E+03 4.76E+03 4.47E+03 4.02E+03 3.62E+03 3.26E+03 2.94E+03 2.67E+03 2.62E+03 2.69E+03 2.78E+03 2.86E+03 2.22E+03 1.74E+03 4.01E+02 4.62E+02 7.08E+02 1.06E+03 1.48E+03 1.86E+03 2.28E+03 2.83E+03 3.45E+03 3.98E+03 4.58E+03 5.44E+03 6.04E+03 6.70E+03

汽车MaxQ (kN) 5.33E+02 4.74E+02 4.10E+02 3.68E+02 3.31E+02 2.97E+02 2.65E+02 2.36E+02 2.10E+02 1.86E+02 1.65E+02 1.46E+02 1.29E+02 1.14E+02 1.00E+02 8.87E+01 7.83E+01 7.36E+01 7.21E+01 7.08E+01 6.99E+01 6.93E+01 6.92E+01 5.79E+03 5.74E+03 1.60E+03 1.59E+03 1.55E+03 1.50E+03 1.45E+03 1.39E+03 1.34E+03 1.29E+03 1.24E+03 1.18E+03 1.13E+03 1.07E+03 1.02E+03 9.59E+02

汽车MaxN (kN) 3.58E+02 3.58E+02 3.58E+02 3.58E+02 3.58E+02 3.58E+02 3.58E+02 3.58E+02 3.58E+02 3.58E+02 3.58E+02 3.58E+02 3.58E+02 3.58E+02 3.58E+02 3.58E+02 3.58E+02 3.58E+02 3.58E+02 3.58E+02 3.58E+02 3.58E+02 3.58E+02 1.70E+02 1.70E+02 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00

33

续表 节点号 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55

汽车MaxM (kN.m) 4.46E+03 4.75E+03 5.14E+03 5.72E+03 6.35E+03 6.55E+03 7.14E+03 7.74E+03 8.33E+03 8.91E+03 9.42E+03 9.95E+03 1.05E+04 1.05E+04 1.07E+04

汽车MaxQ (kN) 1.33E+03 1.28E+03 1.23E+03 1.17E+03 1.11E+03 1.06E+03 1.00E+03 9.43E+02 8.86E+02 8.28E+02 7.71E+02 7.15E+02 6.38E+02 5.74E+02 5.53E+02

汽车MaxN (kN) 3.58E+02 3.58E+02 3.58E+02 3.58E+02 3.58E+02 3.58E+02 3.58E+02 3.58E+02 3.58E+02 3.58E+02 3.58E+02 3.58E+02 3.58E+02 3.58E+02 3.58E+02

节点号 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109

汽车MaxM (kN.m) 7.57E+03 8.44E+03 9.17E+03 9.71E+03 1.01E+04 1.03E+04 1.02E+04 9.98E+03 9.08E+03 7.86E+03 7.57E+03 5.95E+03 4.28E+03 2.30E+03 0.00E+00

汽车MaxQ (kN) 9.02E+02 8.43E+02 7.84E+02 7.24E+02 6.63E+02 6.01E+02 5.39E+02 4.76E+02 3.89E+02 3.16E+02 2.92E+02 2.33E+02 1.76E+02 1.21E+02 1.17E+02

汽车MaxN (kN) 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00

表 5-3 汽车最小活载内力

节点号 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25

汽MinM (kN.m) -2.73E+02 -5.45E+02 -8.18E+02 -1.09E+03 -1.20E+03 -1.54E+03 -1.93E+03 -2.21E+03 -2.48E+03 -2.76E+03 -3.04E+03 -3.32E+03 -3.59E+03 -3.87E+03 -4.25E+03 -4.82E+03 -5.56E+03 -6.91E+03 -8.69E+03 -1.07E+04 -1.29E+04 -1.53E+04 -1.78E+04 -2.06E+04

汽车MinQ (kN) -1.21E+02 -1.76E+02 -2.30E+02 -2.89E+02 -3.13E+02 -3.86E+02 -4.76E+02 -5.39E+02 -6.01E+02 -6.62E+02 -7.19E+02 -7.83E+02 -8.40E+02 -9.01E+02 -9.59E+02 -1.02E+03 -1.07E+03 -1.12E+03 -1.18E+03 -1.24E+03 -1.29E+03 -1.34E+03 -1.40E+03 -1.50E+03

汽车MinN (kN) 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00

节点号 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79

汽MinM (kN.m) -8.44E+02 -9.26E+02 -1.02E+03 -1.19E+03 -1.45E+03 -1.82E+03 -2.33E+03 -3.26E+03 -4.47E+03 -5.88E+03 -7.48E+03 -9.32E+03 -1.13E+04 -1.35E+04 -1.59E+04 -1.84E+04 -2.11E+04 -2.40E+04 -2.70E+04 -3.02E+04 -3.36E+04 -3.71E+04 -4.00E+04 -3.90E+04

汽车MinQ (kN) -5.93E+02 -6.48E+02 -7.57E+02 -7.68E+02 -8.24E+02 -9.36E+02 -9.91E+02 -1.05E+03 -1.10E+03 -1.16E+03 -1.21E+03 -1.26E+03 -1.31E+03 -1.37E+03 -1.42E+03 -1.47E+03 -1.52E+03 -1.57E+03 -1.61E+03 -1.66E+03 -1.71E+03 -1.76E+03 -1.81E+03 -4.29E+03

汽车MinN (kN) -1.88E+02 -1.88E+02 -1.88E+02 -1.88E+02 -1.88E+02 -1.88E+02 -1.88E+02 -1.88E+02 -1.88E+02 -1.88E+02 -1.88E+02 -1.88E+02 -1.88E+02 -1.88E+02 -1.88E+02 -1.88E+02 -1.88E+02 -1.88E+02 -1.88E+02 -1.88E+02 -1.88E+02 -1.88E+02 -1.88E+02 -9.96E+01

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续表 节点号 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55

汽车MaxM (kN.m) -2.35E+04 -2.66E+04 -2.92E+04 -3.03E+04 -3.09E+04 -4.07E+04 -4.00E+04 -3.71E+04 -3.36E+04 -3.02E+04 -2.70E+04 -2.40E+04 -2.11E+04 -1.84E+04 -1.59E+04 -1.35E+04 -1.13E+04 -9.32E+03 -7.51E+03 -5.88E+03 -4.47E+03 -3.27E+03 -2.32E+03 -1.82E+03 -1.45E+03 -1.18E+03 -1.02E+03 -9.26E+02 -8.43E+02 -8.19E+02

汽车MaxQ (kN) -1.54E+03 -1.59E+03 -1.59E+03 -5.73E+03 -5.75E+03 -6.92E+01 -6.92E+01 -6.85E+01 -7.00E+01 -7.09E+01 -6.79E+01 -6.85E+01 -7.83E+01 -8.87E+01 -1.01E+02 -1.05E+02 -1.29E+02 -1.46E+02 -1.54E+02 -1.74E+02 -2.10E+02 -2.23E+02 -2.65E+02 -2.83E+02 -3.18E+02 -3.55E+02 -4.04E+02 -4.93E+02 -5.42E+02 -5.93E+02

汽车MaxN (kN) 0.00E+00 0.00E+00 0.00E+00 -9.96E+01 -9.96E+01 -1.88E+02 -1.88E+02 -1.88E+02 -1.88E+02 -1.88E+02 -1.88E+02 -1.88E+02 -1.88E+02 -1.88E+02 -1.88E+02 -1.88E+02 -1.88E+02 -1.88E+02 -1.88E+02 -1.88E+02 -1.88E+02 -1.88E+02 -1.88E+02 -1.88E+02 -1.88E+02 -1.88E+02 -1.88E+02 -1.88E+02 -1.88E+02 -1.88E+02

节点号 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109

汽车MaxM (kN.m) -3.09E+04 -2.99E+04 -2.92E+04 -2.66E+04 -2.35E+04 -2.06E+04 -1.79E+04 -1.53E+04 -1.29E+04 -1.07E+04 -8.69E+03 -6.91E+03 -5.57E+03 -4.82E+03 -4.25E+03 -3.87E+03 -3.59E+03 -3.32E+03 -3.04E+03 -2.76E+03 -2.48E+03 -2.20E+03 -1.93E+03 -1.54E+03 -1.21E+03 -1.09E+03 -8.18E+02 -5.45E+02 -2.73E+02 0.00E+00

汽车MaxQ (kN) -4.31E+03 0.00E+00 0.00E+00 -8.99E+00 -1.66E+01 -2.10E+01 -2.87E+01 -4.29E+01 -4.84E+01 -6.78E+01 -8.30E+01 -1.00E+02 -1.11E+02 -1.42E+02 -1.57E+02 -1.96E+02 -2.28E+02 -2.51E+02 -3.01E+02 -3.45E+02 -3.93E+02 -4.47E+02 -5.07E+02 -6.43E+02 -7.21E+02 -7.21E+02 -8.18E+02 -9.03E+02 -9.92E+02 -1.09E+03

汽车MaxN (kN) -9.96E+01 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00

以上即为主要控制截面的最大、最小活载内力，将内力值用曲线连接得到活载内力图如下： 12000.0010000.008000.006000.004000.00(KN.m)2000.000.000.0050.00100.00150.00200.00250.00(m)300.00 35

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