Application of Quintic Displacement Function in Static Analysis of Deep Beams on Elastic Foundation

Architecture, Structures and Construction Pub Date : 2022-07-07 DOI:10.1007/s44150-022-00055-8

Ashis Kumar Dutta, Jagat Jyoti Mandal, Debasish Bandyopadhyay

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引用次数: 2

Abstract

Beams supported by elastic foundations are one of the complex soil-structure interaction problems that have been studied using the "beam on elastic foundation" concept. To support the loads, the structural foundation and the soil continuum must work together. The development of more accurate foundation model and simpler procedure are critical for the safety and cost-effective construction of such type of structure. Three nodded beams based on Timoshenko beam theory and workable approaches for analysis of beams on Winkler foundation are attempted in this study. For the present formulation, a Matlab code has been developed. The results are then compared to similar studies done by other researchers, which demonstrate a high level of agreement. Parametric studies are followed to determine the response to various loading conditions, boundary conditions, and foundation parameters. The present formulations, regardless of boundary conditions, slenderness ratio and modulus of sub-grade reaction, have a higher convergence rate. It functions smoothly and efficiently for thin to moderately thick beams. The influence of the soil coefficient on the response of beams on elastic foundations is typically greater than the influence of beam physical and material properties.

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五次位移函数在弹性地基深梁静力分析中的应用

摘要弹性地基梁是“弹性地基梁”概念研究的复杂土-结构相互作用问题之一。为了支撑荷载，结构基础和土连续体必须共同作用。建立更精确的基础模型和简化的基础程序对此类结构的安全、经济施工至关重要。本研究尝试了基于Timoshenko梁理论的三点梁，以及分析Winkler基础梁的可行方法。对于目前的公式，已经开发了一个Matlab代码。然后将结果与其他研究人员所做的类似研究进行比较，结果显示出高度的一致性。随后进行了参数研究，以确定对各种加载条件、边界条件和基础参数的响应。在不考虑边界条件、长细比和路基反应模量的情况下，该配方具有较高的收敛速率。它的功能平稳和有效的薄到中等厚度的梁。土体系数对弹性地基梁响应的影响通常大于梁的物理性质和材料性质的影响。

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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Architecture, Structures and Construction

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