To determine the impact of influencing factors on unsupported roof stability in coal mine roadway, a mechanical model of the unsupported roof was built. FLAC 3D numerical simulation was utilized to study the stability of the unsupported roof under the influence of the depth of the roadway, the thickness of the roof, and the unsupported-support distance. In view of the key influencing factors, the geological conditions of the site, and the relationship between the tensile stress and tensile strength of the unsupported roof, the maximum unsupported roof distance during roadway excavation was determined. Considering the surplus safety factor of the unsupported roof, the reasonable unsupported roof distance during the excavation of roadway 150802 was finally determined to be 2.08 m. The comprehensive roadway excavation speed increased by 62.7%, achieving a monthly progress over 500 m.

中文翻译：

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巷道顶板稳定性因素分析及无支护顶板距离的确定

为确定影响因素对煤矿巷道无支护顶板稳定性的影响，建立了无支护顶板力学模型。利用FLAC 3D数值模拟研究了在巷道深度、顶板厚度和无支护距离影响下无支护顶板的稳定性。针对关键影响因素、场地地质条件以及无支撑顶板拉应力与抗拉强度的关系，确定了巷道开挖过程中最大无支撑顶板距离。考虑到无支撑顶板的剩余安全系数，最终确定150802巷道开挖时的合理无支撑顶板距离为2.08 m。巷道综合开挖速度提高62.7%，