考虑七阶剪切变形理论的梁弯曲

Q2 Engineering

Engineering Transactions Pub Date : 2020-02-14 DOI:10.24423/ENGTRANS.1129.20200214

K. Magnucki, W. Stawecki, E. Magnucka-Blandzi

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引用次数: 2

摘要

本文的研究对象是在非均布荷载作用下具有双对称截面的简支棱柱梁。分析描述了横截面的形状和不均匀分布的载荷。假设平面梁截面的单个七阶剪切变形理论假设。基于平稳势能原理，得到了两个平衡微分方程。对方程组进行了解析求解，导出了梁的剪切系数和挠度系数。此外，还确定了选定横截面的剪切应力模式，并将其与Zhurvsky公式确定的应力进行了比较。示例计算的结果如表和图所示。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Bending of Beams with Consideration of a Seventh-Order Shear Deformation Theory

The subject of the paper is a simply- supported prismatic beam with bisymmetrical crosssections under non-uniformly distributed load. The shapes of the cross-sections and the nonuniformly distributed load are described analytically. The individual seventh-order shear deformation theory-hypothesis of the planar beam cross-sections is assumed. Based on the principle of stationary potential energy two differential equations of equilibrium are obtained. The system of the equations is analytically solved, and the shear and deflection coefficients of the beam are derived. Moreover, the shear stress patterns for selected cross-sections are determined and compared with stresses determined by Zhuravsky’s formula. The results of example calculations are presented in tables and figures.

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来源期刊

Engineering Transactions Engineering-Engineering (all)

CiteScore

1.40

自引率

0.00%

发文量

期刊介绍： Engineering Transactions (formerly Rozprawy Inżynierskie) is a refereed international journal founded in 1952. The journal promotes research and practice in engineering science and provides a forum for interdisciplinary publications combining mechanics with: Material science, Mechatronics, Biomechanics and Biotechnologies, Environmental science, Photonics, Information technologies, Other engineering applications. The journal publishes original papers covering a broad area of research activities including: experimental and hybrid techniques, analytical and numerical approaches. Review articles and special issues are also welcome. Following long tradition, all articles are peer reviewed and our expert referees ensure that the papers accepted for publication comply with high scientific standards. Engineering Transactions is a quarterly journal intended to be interesting and useful for the researchers and practitioners in academic and industrial communities.