均布荷载作用下悬臂梁的弹性应力解

The Elastic Stress Solution to Cantilever Beam under Uniform Load

假设切应力,采用半逆解法,推求应力函数的形式,然后求出应力分量.再考虑边界条件,求出积分常数,从而得到悬臂梁弹性力学应力解.最后比较了弹性力学解答和材料力学解,得出了一些有用的结论.

In this paper,I used semi-inverse method,assumed that shear stress,deduced the form of stress function,and then found the stress components.Considering the boundary conditions,solvered integral constants,obtained stress solutions to cantilever beam.Finally,compared the elastic stress solution with the mechanics of materials answers,drew some useful conclusions.