基于能量变分原理推导系杆拱拱肋弯矩增大系数

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系杆拱桥是拱肋、吊杆、系杆等组合共同受力的,针对这一受力特性,由能量变分原理推导出系杆拱拱肋的弯矩增大系数实用计算公式,以工程实例将所推公式与现行桥规中偏心距增大系数的简化公式计算结果进行对比。结果表明,推导出的实用计算公式的计算结果与现行桥规按照裸拱简化为当量长度的直杆的计算结果相差12.9%~24.3%,所推公式在简化前后计算结果相差在1%左右,显示出简化后的计算公式有一定的经济实用性。所推公式中,系杆拱桥拱肋的弯矩增大系数随轴力增大而略显增大,且与约束条件及荷载形式相关,拱式结构中拱肋的偏心距增大系数与偏心受压直杆的偏心距增大系数有较大差别。 Tied arch bridge is a combination of arch rib, boom, tie rod and so on. According to the force characteristics, the practical formula for calculating the moment increasing factor of tie arch rib is deduced from the principle of energy variation. The example compares the calculated formula with the simplified formula of the eccentricity distance increasing coefficient of the current bridge gauge. The results show that the calculated results of the practical formulas are 12.9% ~ 24.3% different from those of the existing bridge with the equivalent length of the bare arch, and the difference between the calculated results before and after simplification is about 1% It shows that the simplified formula has certain economic utility. In the formula, the bending moment increasing coefficient of the arch rib of the tied arch bridge slightly increases with the increase of the axial force, and is related to the constraint conditions and load forms. The eccentricity of the arch rib in the arch structure increases coefficient and eccentricity Compression rod eccentricity increases the coefficient has a larger difference.
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