### Abstract

An approximate and simple method for rectangular orthotropic plates, loaded biaxially along two mutually perpendicular directions is presented. The theory is based on the energy method and it is free from difficult calculations such as those encountered when large deflection theory is used. Effects of initial imperfections are taken into account. The number and lengths of half-waves are assumed to be the same in the post-buckling stage as at incipient buckling. The finite buckled shape in the post-buckling stage is taken to be the same as that during incipient buckling. The Von Mises yield criterion is employed to determine the upper bound solution of the plate. Interaction curves for square plates subjected to longitudinal and transverse stresses, applicable to three different boundary conditions, four edges simply supported or four edges clamped or two opposite edges clamped with the other two edges simply supported, are presented in a non-dimensional form. Results for plates having different values of plate slenderness (b/t) and flexural rigidity ratios, D _{2}/D _{1} are given.

Original language | English |
---|---|

Pages (from-to) | 40-47 |

Number of pages | 8 |

Journal | Thin-Walled Structures |

Volume | 53 |

DOIs | |

Publication status | Published - Apr 2012 |

### Fingerprint

### Keywords

- Biaxial loads
- Energy methods
- Interaction curves
- Orthotropic plate
- Post-buckling

### ASJC Scopus subject areas

- Mechanical Engineering
- Building and Construction
- Civil and Structural Engineering

### Cite this

*Thin-Walled Structures*,

*53*, 40-47. https://doi.org/10.1016/j.tws.2011.12.016

**Strength of biaxially loaded orthotropic plates.** / Araghi, Sayena N.; Shanmugam, Nandivaram E.

Research output: Contribution to journal › Article

*Thin-Walled Structures*, vol. 53, pp. 40-47. https://doi.org/10.1016/j.tws.2011.12.016

}

TY - JOUR

T1 - Strength of biaxially loaded orthotropic plates

AU - Araghi, Sayena N.

AU - Shanmugam, Nandivaram E.

PY - 2012/4

Y1 - 2012/4

N2 - An approximate and simple method for rectangular orthotropic plates, loaded biaxially along two mutually perpendicular directions is presented. The theory is based on the energy method and it is free from difficult calculations such as those encountered when large deflection theory is used. Effects of initial imperfections are taken into account. The number and lengths of half-waves are assumed to be the same in the post-buckling stage as at incipient buckling. The finite buckled shape in the post-buckling stage is taken to be the same as that during incipient buckling. The Von Mises yield criterion is employed to determine the upper bound solution of the plate. Interaction curves for square plates subjected to longitudinal and transverse stresses, applicable to three different boundary conditions, four edges simply supported or four edges clamped or two opposite edges clamped with the other two edges simply supported, are presented in a non-dimensional form. Results for plates having different values of plate slenderness (b/t) and flexural rigidity ratios, D 2/D 1 are given.

AB - An approximate and simple method for rectangular orthotropic plates, loaded biaxially along two mutually perpendicular directions is presented. The theory is based on the energy method and it is free from difficult calculations such as those encountered when large deflection theory is used. Effects of initial imperfections are taken into account. The number and lengths of half-waves are assumed to be the same in the post-buckling stage as at incipient buckling. The finite buckled shape in the post-buckling stage is taken to be the same as that during incipient buckling. The Von Mises yield criterion is employed to determine the upper bound solution of the plate. Interaction curves for square plates subjected to longitudinal and transverse stresses, applicable to three different boundary conditions, four edges simply supported or four edges clamped or two opposite edges clamped with the other two edges simply supported, are presented in a non-dimensional form. Results for plates having different values of plate slenderness (b/t) and flexural rigidity ratios, D 2/D 1 are given.

KW - Biaxial loads

KW - Energy methods

KW - Interaction curves

KW - Orthotropic plate

KW - Post-buckling

UR - http://www.scopus.com/inward/record.url?scp=84856143253&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84856143253&partnerID=8YFLogxK

U2 - 10.1016/j.tws.2011.12.016

DO - 10.1016/j.tws.2011.12.016

M3 - Article

AN - SCOPUS:84856143253

VL - 53

SP - 40

EP - 47

JO - Thin-Walled Structures

JF - Thin-Walled Structures

SN - 0263-8231

ER -