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针对简支梁和悬臂梁两种基本结构,运用能量法推导了在集中力和均布荷载下,考虑剪切变形的挠度计算公式。通过与实体有限元模型比较,说明了推导的计算公式有较好的精度。参数分析表明:剪切变形产生的附加挠度占弯曲变形的比例一般在10%以上,且随波折角的增大而增加。此外还针对一般工程设计所采用的杆系有限元的计算精度进行了评价。
Aiming at the two basic structures of simply supported beam and cantilever beam, the formulas of deflection calculation considering shear deformation under concentrated load and uniform load are derived by energy method. Compared with the solid finite element model, it shows that the calculated formula has better accuracy. Parametric analysis shows that the additional deflection caused by shear deformation accounts for more than 10% of the total deflection and increases with the increase of the wave angle. In addition, the calculation accuracy of the finite element method for the bar system used in the general engineering design was also evaluated.