考虑踏步影响的梯板等效厚度与挠度计算

Equivalent Thickness and Deflection Calculation of Stair Tread that Take into Account Step Factor

合理选取考虑踏步影响的板式楼梯梯板计算单元,采用单位荷载法推导出计算单元在两端弯矩作用下的挠度最大点位置及最大挠度计算公式。以求得的最大挠度与相同受力条件的等截面板最大挠度相等为条件,计算楼梯梯板的等效厚度,并给出常用尺寸梯板的等效厚度。通过分析受弯构件挠度计算方法,认为可采用等效厚度代替梯板厚度用于挠度计算,从而解决计算值偏大,梯板厚度设计不合理问题。

Reasonably select the calculation element of plate stair tread that take into account step factor, using unit load method,get the location of the maximum deflection and the calculation formula of the maximum deflection of the calculation element under bending moments act on the both ends. On condition that the obtained maximum deflection equal with the maximum deflection of plate with uniform cross-section that have the same loading condition, calculate the equivalent thickness of stair tread, and provide the equivalent thickness of stair tread with common size. By analyze the calculation method of deflection for bending member, consider equivalent thickness can be used to replace thickness of stair tread in deflection calculation, and solve the problem that the calculated deflection is too big and the thickness of stair tread that designed is unreasonable.