A MATHEMATICAL MODEL OF ELASTIC CURVE FOR SIMPLY SUPPORTED BEAMS SUBJECTED TO A CONCENTRATED LOAD TAKING INTO ACCOUNT THE SHEAR DEFORMATIONS

被引：0

作者：

Luevanos Rojas, Arnulfo ^{[1
]}

Lopez Chavarria, Sandra ^{[1
]}

Medina Elizondo, Manuel ^{[1
]}

Kalashnikov, Vitaly V. ^{[2
]}

机构：

[1] Univ Autonoma Coahuila, Fac Contaduria & Adm, Blvd Revoluv 151 Ote, Torreon 27000, Coahuila, Mexico

[2] Univ Autonoma Nuevo Leon, Fac Econ, Ave Univ S-N,Cd Univ, San Nicolas De Los Garza, Nuevo Leon, Mexico

来源：

INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL | 2016年 / 12卷 / 01期

关键词：

Elastic curve; Simply supported beams; Concentrated load; Maximum displacement; Bending and shear deformations;

D O I：

暂无

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

This paper presents a mathematical model of elastic curve for simply supported beams subjected to a concentrated load located anywhere along length of beam considering the bending and shear deformations, i.e., the equation of displacements and also the equation of slope for tangents to the elastic curve are presented. The traditional model of elastic curve used for simply supported beams subjected to a concentrated load does not consider the shear deformations. Also a comparison is made between the traditional model and the proposed model with respect to the maximum displacement of beam to observe the differences. Besides the effectiveness and accuracy of the model developed in this paper, a significant advantage is that the displacements and slopes are calculated at any length of the beam using the mathematical formulae.

引用

页码：41 / 54

页数：14

共 32 条

[1] A mathematical model of elastic curve for simply supported beams subjected to a uniformly distributed load taking into account the shear deformations
Rojas, Arnulfo Luévanos
Rojas, A. L. (arnulfol_2007@hotmail.com), 1600, ICIC Express Letters Office (05): : 885 - 890
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ICIC Express Letters, 2013, 7 (11): : 2941 - 2947
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Luévanos Rojas, A. (arnulfol_2007@hotmail.com), 1600, ICIC Express Letters Office, Tokai University, Kumamoto Campus, 9-1-1, Toroku, Kumamoto, 862-8652, Japan (07):
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[7] Elastic Lateral Torsional Buckling of Simply Supported Beams under Concentrated Load and Linear Moment Gradient
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[10] Mathematical Model of the Formation of a Crystallographic Shear Band in fcc Metals Taking Account for Elastic Interaction of Dislocations
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