Noncircular rings under radial load

Romano, Frank; Ranlet, David

doi:10.1016/0016-0032(64)90423-5

Cited by 6 publications

(4 citation statements)

References 2 publications

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“…Following the derivations in Section 2.1, we derive governing differential equation for the present theory [23][24][25]. In the subsequent subsections, this is applied to the configurations for evaluation of the modulus.…”

Section: Technical Theory: Curved Beam Theory (Cbt)mentioning

confidence: 99%

In-plane effective shear modulus of generalized circular honeycomb structures and bundled tubes in a diamond array structure

Gotkhindi

Simha

2015

International Journal of Mechanical Sciences

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Section: Technical Theory: Curved Beam Theory (Cbt)mentioning

confidence: 99%

In-plane effective shear modulus of generalized circular honeycomb structures and bundled tubes in a diamond array structure

Gotkhindi

Simha

2015

International Journal of Mechanical Sciences

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“…The behavior of circular GRP pipes under mechanical loading and environmental conditions has been studied extensively 1–5 . Moreover, analytical solutions of noncircular pipes were developed based on curved beam theory and showed, for some particular shapes, a much higher strain than that for circular pipes 6–8 . However, experimental data related to GRP pipes with noncircular shapes under parallel‐plate loading is scarce.…”

Section: Introductionmentioning

confidence: 99%

Shape Factor for Glass-Reinforced Plastic Pipes With Noncircular Shapes Under Diametral Loading - An Experimental Study

Seibi

Kalfat²,

Molki

et al. 2012

Exp Techniques

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An experimental study dealing with testing noncircular glass‐reinforced plastic pipes under compression was conducted. The testing program included four pipe shapes (box, ﬂat elliptic, egg, and round) loaded under the same condition using the parallel‐plate test method. Strain measurements and pipe deﬂections were recorded from which pipe shape factors and stiffness were estimated. The experimental results showed that circular and ﬂat elliptical pipe shapes are, respectively, the stiffest and most ﬂexible ones among all tested pipes. Moreover, the experimental results showed a good agreement with the simulated results of the same tested samples.

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“…Characterization of the mechanical properties of cylindrically orthotropic thin composite sheets has been developed by Sinha et al [5]. An analytical approach of an elementary elliptical ring under plane stress has been developed by Yves Gourinat et al [6], Romano et al [7], and recently by Kalfat Ismail et al [8]. The present paper, therefore, presents a methodology of obtaining the shape factor for various shapes taking into account circular pipes as the basis of the study.…”

Section: Introductionmentioning

confidence: 99%

Shape Factors for Irregular Glass Reinforced Plastic Pipes – An Analytical and Numerical Approach

Ismail

Seibi

2011

KEM

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This paper presents the development of a mathematical model based on curved beam theory of composite pipes with irregular shapes under diametral loading. The analytical solution was validated through finite element models of the same pipe shapes under similar loading conditions. Four shapes (circular, elliptical, rectangular, and egg shaped pipes) were considered in this study. The analytical and finite element results were used to estimate the shape factor defined by the ratio of the maximum tangential stress of an irregular shape over the maximum tangential stress for a circular pipe. Comparison of the load-deflection curves for the four different shapes revealed that the egg pipe is the stiffest among the rest of the pipes while the square shape is the most flexible one. The analytical solution and finite element results were used to determine the shape factor for the four pipe shapes taking into account the circular pipe as the base shape. Both results were in good agreement and can be used as design guidelines for the irregular shapes without resorting to the conduct of any further testing.

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Noncircular rings under radial load

Cited by 6 publications

References 2 publications

In-plane effective shear modulus of generalized circular honeycomb structures and bundled tubes in a diamond array structure

In-plane effective shear modulus of generalized circular honeycomb structures and bundled tubes in a diamond array structure

Shape Factor for Glass-Reinforced Plastic Pipes With Noncircular Shapes Under Diametral Loading - An Experimental Study

Shape Factors for Irregular Glass Reinforced Plastic Pipes – An Analytical and Numerical Approach

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