层状岩体中矩形巷道顶板破坏高度

Roof Failure Height of Rectangular Roadway in Bedded Rock

为计算层状岩体中矩形巷道冒落高度,考虑到层状岩体中矩形巷道顶板各层物理力学性质的不同,对其进行分层研究,建立岩梁计算模型同时应用结构力学两端固支梁模型计算层状顶板整体受力,再用弹性力学对每层岩层进行内力计算。考虑到岩梁两端固支处集中力作用对岩梁整体内力分布的影响即岩梁端部效应,利用弹性力学中半平面体受集中力作用的内力解,推算出岩梁上侧受拉破坏点位置,从而得到各层破坏面与垂向夹角,进而可推算出冒落拱的高度。通过与实际巷道冒落拱高度测试结果的对比,验证此公式较为符合实际工程情况。

In order to calculate the caving height of rectangular roadway in bedded rock, we considered and studied the differences in physical and mechanical properties of every layer in roadway roof and studied inner force of every layer. We built calculation model of rock beam and calculated force on the ends of the rock beam with structure mechanics. Then, we got the inner force of rock beam with elastic mechanics. Considering the influence of concentrated force on two clamped support ends of beam, we have calculated out the failure point on beam with elastic mechanics. And then we got the height of caving arch and the angle between failure plane and vertical direction. Compared with the result of in - situ test results, the formula we Rot matches well with real situation.