Regarding the mechanics model of key rock stratum in overlying strata as the simple beam with semi-infinite length elastic foundation support.Based on elastic foundation beam theory, we derive the analytic solution about inner force distribution of overlying strata, and analyze the variation law of maximum value of bending moment and its location of overlying strata followed by beam space and relative rigidity.In addition, the relationship between the elasticity of elastic foundation and the stress field of digging area is elaborated.%条带开采或利用歼石充填置换条带煤柱开采技术是实现绿色开采的重要技术。考虑到两侧煤体和中间煤柱（或回填柱）的弹性，采场上覆岩层中关键层的力学模型应简化为两端为半无限弹性地基支承、中间有弹性支座的多跨梁，利用弹性地基梁理论，推导了中间有一个弹性支座的弹性地基双跨梁的内力及变形方程的解析解，分析了梁的最大弯矩值及其位置与梁的跨度、相对刚度和载荷之间的关系。
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