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Analysis of rotational and sliding collapse modes of masonry arches via Durand-Claye’s method

机译:Durand-Claye方法分析砌体拱门拱形拱的旋转和滑动模式

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摘要

In this paper the mechanical behavior of circular and pointed masonry arches subject to their own weight is examined in order to determine their collapse modes. Different arch’s shapes and thicknesses are considered; the influence of the friction coefficient on the arch collapse is analyzed as well. The safety level of arches is investigated by suitably reworking in semi-analytical form the stability area graphical method proposed by a renowned 19th century French scholar, Durand-Claye. Our analysis enables accounting for any given eccentricity of the thrust at the crown; furthermore, also the strength of masonry is taken into account. According to Durand-Claye’s method, the arch is safe if along any given joint both the bending moment and the shear force do not exceed some given limit values. It is shown that attainment of a limit condition according to Durand-Claye corresponds to the onset of a collapse mechanism characterized by either relative rotation or sliding between masonry units. All possible symmetric collapse modes for an arch are thoroughly described. As it was expected, pointed and circular arches show different collapse behaviors. Limit values of arch thickness and friction coefficient are assessed. The results obtained are compared with those given by Michon in 1857.
机译:本文圆形,尖拱砌筑受其自身重量的机械性能,以确定它们的崩溃方式进行检查。不同的拱的形状和厚度的考虑;在弓塌陷的摩擦系数的影响进行了分析,以及。拱的安全水平是通过在半解析形式适当返工由著名19世纪法国学者,杜兰德-CLAYE提出的稳定性区域的图形的方法的影响。我们的分析能够占在冠的推力任何给定的偏心;此外,还砌体的强度考虑。据杜兰德CLAYE的方法,这个牌坊是安全的,如果沿着任何给定的联合弯矩和剪力都不会超过某个给定的极限值。它是根据杜兰德-CLAYE对应于崩溃机构,其特征在于任一相对转动或砖石单元之间的滑动的发生所示的限制条件,即实现。对于一个拱形所有可能的对称崩溃模式详尽的描述。正如预期,尖和圆拱表现出不同的行为崩溃。拱的厚度和摩擦系数的极限值进行评估。获得的结果与在1857年由米雄给出的那些相比较。

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