依据应力函数的性质结合边界条件,求解连续载荷q(x)=ax2+bx+c作用下悬臂梁的平面应力问题,改变载荷方程的系数,可得到任意线性、二次分布载荷作用下的应力函数,该解析解是对弹性理论中相关经典例题的补充,求解计算表明,要得到更高次载荷分布情况的解析解将非常困难. According to the nature of the stress function and the boundary conditions, the plane stress of the cantilever beam is solved by the continuous load q (x) = ax2 + bx + c. By changing the coefficient of the load equation, the stress under any linear and quadratic distributed load can be obtained Function, the analytical solution is to supplement the related classical examples in the theory of elasticity. Calculation shows that it will be very difficult to get analytic solution of higher order load distribution.