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本文研究了受压弯应力作用的单跨梁最大弯矩的计算方法。推导弯矩计算公式时,需考虑以下几种荷载情况:①惯性矩是常数 I_0,均布荷载是 q_0;②惯性矩是变数 I(x),均布荷载是 q_0;③惯性矩是变数 I(x),分布荷载是变数 q(x)。对此三种情况,均可用求解线性差分方程组的差分计算法算出最大弯矩。应指出,若利用对称关系,即可大为缩减计算工作量。而对第一种情况,还可求得精确解。
This paper studies the method of calculating the maximum bending moment of a single span beam subjected to bending stress. When deriving the bending moment calculation formula, consider the following kinds of load conditions: 1 The moment of inertia is a constant I_0, the uniform load is q_0; 2 The moment of inertia is a variable I(x), the uniform load is q_0; 3 The moment of inertia is a variable I (x) The distributed load is the variable q(x). For these three cases, the maximum bending moment can be calculated using the difference calculation method for solving the linear difference equations. It should be pointed out that if symmetric relationships are used, the computational workload can be greatly reduced. For the first case, an exact solution can also be obtained.