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Buckling and Postbuckling Strength of CSCSTHIN Rectangular Plate


 

The objective of this study is to analyse the buckling and postbuckling strength of CSCSthin rectangular plate. Here, the exact displacement and stress profiles of the plate were obtained by applying the direct integration theory to the Kirchhoff’s linear governing differential equation and von Karman’s non–linear governing differential compatibility equation respectively. With these, the buckling and postbuckling load expression of the CSCS plate was obtained by applying work principle to the Von Karman’s non–linear governing differential equilibrium equation. CSCS thin rectangular plate strength was obtained in terms of its yield/maximum stress. Other related parameters of the plate such as: displacement parameter, Wuv, stress coefficient, Wuv2 and load factor, Kcxwere determined. Results of this study show that for a CSCS plate material having yield stress of 250MPa, failure would occur only at 1.4h postbuckling out of plane deflection, contrary to the presumed critical buckling load.  That is, CSCS plate would tolerate up to 56 MPa of additional load prior to its material and structural failure. Hence, CSCSpossesses additional strength beyond its critical buckling strength as had earlier predicted.


Keywords

Buckling, Coupled Equations, Direct Integration, Postbuckling, Work Principle, Yield stress
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  • Buckling and Postbuckling Strength of CSCSTHIN Rectangular Plate

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Abstract


The objective of this study is to analyse the buckling and postbuckling strength of CSCSthin rectangular plate. Here, the exact displacement and stress profiles of the plate were obtained by applying the direct integration theory to the Kirchhoff’s linear governing differential equation and von Karman’s non–linear governing differential compatibility equation respectively. With these, the buckling and postbuckling load expression of the CSCS plate was obtained by applying work principle to the Von Karman’s non–linear governing differential equilibrium equation. CSCS thin rectangular plate strength was obtained in terms of its yield/maximum stress. Other related parameters of the plate such as: displacement parameter, Wuv, stress coefficient, Wuv2 and load factor, Kcxwere determined. Results of this study show that for a CSCS plate material having yield stress of 250MPa, failure would occur only at 1.4h postbuckling out of plane deflection, contrary to the presumed critical buckling load.  That is, CSCS plate would tolerate up to 56 MPa of additional load prior to its material and structural failure. Hence, CSCSpossesses additional strength beyond its critical buckling strength as had earlier predicted.


Keywords


Buckling, Coupled Equations, Direct Integration, Postbuckling, Work Principle, Yield stress