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塑性理论对线性强化弹塑性材料,在横力弯曲时横截面上的剪应力分布,由于无法给出相应的屈服函数,而不能获得解析解。本文利用工程实用方法,解出了对称截面情况下的剪应力分布。结果说明,横力弯曲时,处于弹塑性阶段的线性强化材料制成的梁,剪应力在塑性区成线性分布,在弹性区成抛物线分布。所用方法和所得结果虽然是近似的,但具有满足工程要求的精度,并且物理、力学概念清晰。文中按照此法算出的理想弹塑性材料剪应力分布和弹性核高度与已知结果全完一样。
Plastic theory For linearly-strength-elastic plastic materials, the shear stress distribution on the cross-section when the transverse force is bent cannot be obtained because the corresponding yield function cannot be given. In this paper, engineering shear methods are used to solve the shear stress distribution in the case of symmetrical cross-sections. The results show that when the transverse force is bent, the beam made of linear reinforcement material in the elasto-plastic stage will have a linear distribution of shear stress in the plastic zone and a parabolic distribution in the elastic zone. Although the methods used and the results obtained are similar, they have the accuracy required to meet the engineering requirements and the concepts of physics and mechanics are clear. The shear stress distribution and elastic core height of the ideal elastoplastic material calculated in this paper are the same as the known results.