When designing unreinforced masonry buildings, the wall stiffness and, consequently, the masonry elastic and shear modulus E and G are essential parameters. Current codes provide empirical estimates of the masonry elastic modulus and a ratio between the shear and elastic modulus, G / E . This ratio, commonly taken as 0.4, is not based on scientific evidence and there appears to be no consensus concerning its value and influencing parameters, meaning that current code standards might not accurately portray the shear deformations of masonry elements. To give the choice of the G/E ratio a theoretical foundation, this paper presents closed-form expressions for the G/E ratio of running-bond masonry that capture the effects of finite joint thickness, finite wall thickness and orthotropic block properties. Based on the geometry of blocks and joints as well as their elastic parameters, a validation of the developed expression using 3D finite element analyses shows good performance. For modern masonry typologies with hollow clay bricks, a G / E ratio of 0.20–0.25 is obtained. For historical masonry typologies, such as dry stacked or mortared stone masonry, as well as solid clay brick masonry, ratios between 0.30 and 0.40 are computed.

中文翻译：

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面内加载砌体的剪切弹性模量比

在设计无钢筋砌体建筑时，墙体刚度以及砌体弹性和剪切模量 E 和 G 是必不可少的参数。当前代码提供了砌体弹性模量的经验估计值以及剪切和弹性模量之间的比率 G / E 。该比率通常为 0.4，并非基于科学证据，而且似乎对其值和影响参数没有达成共识，这意味着当前的规范标准可能无法准确描绘砌体元素的剪切变形。为了给 G/E 比的选择提供理论基础，本文提出了运行粘结砌体的 G/E 比的闭式表达式，以捕捉有限节点厚度、有限壁厚和正交各向异性块体特性的影响。基于块和接头的几何形状及其弹性参数，使用 3D 有限元分析对开发的表达式进行验证显示出良好的性能。对于具有空心粘土砖的现代砌体类型，G / E 比率为 0.20-0.25。对于历史砌体类型，例如干堆砌或砂浆砌石，以及实心粘土砖砌体，计算的比率介于 0.30 和 0.40 之间。