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Analyses of Large Deflections of Simply Supported Nonlinear Beams, for Various Arc Length Functions

  • Research Article - Mechanical Engineering
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Abstract

In this paper, horizontal and largest vertical deflections have been calculated for uniformly distributed loaded, simply supported beams made of Ludwick type nonlinear material. Curvature expression for elastic curve had been defined according to two different arc length functions. Variations of horizontal and vertical deflections are tabulated depending on arc length functions, material, cross section and loading conditions.

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Abbreviations

w :

Unit-distributed load

Δ:

Horizontal deflection

δ v :

Vertical deflection

L :

Beam length

x 0 :

Arc length

M:

Moment

σ :

Normal stress

ε :

Strain

B:

Coefficient of material property; Young’s modulus of elasticity for linear elastic materials

n :

Material dependent constants

κ :

Curvature

Γ:

Euler gamma function

h :

Height of the cross section

b :

Width of the cross section

2F1:

Hypergeometric function

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Authors and Affiliations

  1. Mechanical Engineering Department, Yildiz Technical University, Besiktas, Istanbul, 34349, Turkey

    Ibrahim Eren

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  1. Ibrahim Eren
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Correspondence to Ibrahim Eren.

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Eren, I. Analyses of Large Deflections of Simply Supported Nonlinear Beams, for Various Arc Length Functions. Arab J Sci Eng 38, 947–952 (2013). https://doi.org/10.1007/s13369-012-0375-2

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  • DOI: https://doi.org/10.1007/s13369-012-0375-2

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