混凝土圆环形截面非均匀配筋计算的解析法
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昆明理工大学建筑工程学院

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国家自然科学基金项目(面上项目,重点项目,重大项目)


Analytical method for calculating non-uniform reinforcement of concrete ring section
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Kunming University of Science and Technology

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    摘要:

    环形截面是工程结构中常见的截面形式,但混凝土环形截面配筋计算存在双重非线性(材料和截面宽度变化的非线性)。《混凝土结构设计规范》中仅给出计算均匀配筋的超越方程组,需编程和迭代求解,不能手算,极为不便。另外,一些环形截面构件(如高桥墩、预制管桩等)长度长,截面尺寸大,钢筋用量大,若采用均匀配筋,中性轴附近钢筋应力小,经济性不好。若采用非对称配筋,将受力钢筋布置在远离中性轴的外围区域,可充分利用混凝土和钢筋强度,提高经济效益。对此本文根据混凝土和钢筋的本构关系确定应变变化的范围和边界,从应变出发,通过解析方法,由应变求解应力,进而计算内力,不需迭代,最终将计算结果绘制成便于手算配筋的诺谟图,计算快速方便,适用于C50及以下强度混凝土和任意直径大小的环形截面。

    Abstract:

    Ring section is a common form of section in engineering structure, but there exists double nonlinearity (nonlinearity of material and section width) in reinforcement calculation of concrete ring section. In the Code for Design of Concrete Structures, only the transcendental equations for the calculation of uniform reinforcement are given, which require programming and iterative solution and cannot be calculated manually, which is very inconvenient. In addition, some ring section members (such as high bridge piers, precast pipe piles, etc.) have long length, large section size and large amount of reinforcement. If uniform reinforcement is adopted, the reinforcement stress near the neutral axis is small and the economy is poor. If asymmetrical reinforcement is adopted, the stress reinforcement is arranged in the peripheral area far away from the neutral axis, which can make full use of the strength of concrete and reinforcement to improve economic benefits.Based on the constitutive relation between concrete and steel, this paper determines the range and boundary of strain variation and starts from strain. By analytical method, stress is solved by strain, and then internal force is calculated without iteration. Finally, the calculated results are drawn into a Nomo-diagram that is convenient for manual calculation of reinforcement, which is fast and convenient for calculation, and suitable for C50 or below strength concrete and annular sections with arbitrary diameters.

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  • 收稿日期:2020-08-18
  • 最后修改日期:2020-12-24
  • 录用日期:2021-01-05
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