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本文根据“双层弹性体系在圆形均布水平荷载作用下的应力与位移”的研究成果分别研究了双层弹性体系在圆形均布垂直、水平及其综合荷载作用下,应力的分布规律及临界应力问题。大量的计算发现:1.在单圆情况下;①最大拉应力一般出现在垂直荷载作用下,上层底面荷载中心处,但当上层厚度较薄时,则出现在距荷载面中心若干距离处;②最大剪应力通常出现在综合荷载作用下,上层表面荷载边缘处。2.在双圆荷载作用下:①最大拉虚力一般出现在垂直荷载作用下,上层底面一个圆的荷载中心处,但当厚度较大或厚度较小而下层与上层的模量比 (E_2)/(E_1)≥0.2 时,则发生在距一个圆的荷载中心若干距离处;水平荷载对最大拉应力的影响很小,可忽略不计;②最大剪应力发生在综合荷载作用下,上层表面荷载边缘处。对于三层体系或多轮荷载,本文所叙述的计算方法也可采用。为便于实际应用,提供了计算用图.
In this paper, the distribution of stresses in a double-layer elastic system under the effect of uniform vertical and horizontal loads and the combined loads of the double-layer elastic system under the effect of uniform horizontal loads is studied respectively. And critical stress issues. A large number of calculations have been found: 1. In the case of a single circle; 1 The maximum tensile stress generally occurs under the vertical load and at the center of the upper floor load, but when the thickness of the upper layer is relatively thin, it appears at a distance from the center of the load surface. 2 The maximum shear stress usually occurs under the combined load and the upper surface load edge. 2. Under the action of double-circle loads: 1 The maximum pulling force generally occurs under the vertical load and the center of the upper layer is at the center of the load, but when the thickness is larger or the thickness is smaller, the modulus ratio of the lower layer to the upper layer (E_2) )/(E_1) ≥ 0.2, it occurs at a distance from the center of the load of a circle; the effect of horizontal load on the maximum tensile stress is negligible; 2 the maximum shear stress occurs under the combined load, the upper surface At the edge of the load. For a three-tier system or multiple loads, the calculation method described in this paper can also be used. To facilitate the practical application, a graph for calculation is provided.