【摘要】 利用半逆解法,寻求了不同模量简支梁在均布荷载下的弹性力学解,并比较了现有的近似解。分析表明:由于材料不同模量的引入,应力较大程度地重新分布,使得材料力学解答中的最大正应力被低估;解答误差随着材料的不同模量上下波动,深梁情况下还会加剧。更多还原

【Abstract】 A semi-inverse method from stress functions is used to obtain elasticity solutions of a simply supported beam with different modulus under uniformly distributed load and its approximate solutions derived from mechanics of material are also checked. The results show that because the materials with different modulus are employed, the stress redistributes across section in a large extent and the maximum normal stress obtained from mechanics of materials is underestimated to a certain degree. These errors fluctuate according to different modulus of materials and enlarge especially in the case of deep beams.更多还原