Paper Title :Full Shear Deformation For Analysis of Thick Plate

Author :Ibearugbulem Owus M., Njoku Kelechi O., Eziefula Uchechi G.

Article Citation :Ibearugbulem Owus M. ,Njoku Kelechi O. ,Eziefula Uchechi G. , (2016 ) " Full Shear Deformation For Analysis of Thick Plate " , International Journal of Advances in Mechanical and Civil Engineering (IJAMCE) , pp. 44-49, Volume-3,Issue-6

Abstract : This paper presents full shear deformation for analysis of thick plate. The main assumption here is that the vertical shear strain is not zero and shear deformation is not divided into classical and shear deformation components. With these assumptions and other assumptions of traditional shear deformation theories, total potential energy for thick plate was derived in strict compliance with the principles of theory of elasticity. The paper also derived the vertical shear stress profile from mathematical principles. The total potential energy was subjected to direct variation by differentiating it, in turn, with the coefficients of deflection, rotation in x direction and rotation in y direction. This variation resulted into three simultaneous direct governing equations. Numerical example for a case of a plate with all the edges simply supported was used to test the new method. It was observed that the values of non dimensional forms of displacements and stresses from the present study agree with the values from previous studies. Also observed is that the values of the in-plane quantities did not vary with span-depth ratio (). They are all equal to the values from classical plate theory (CPT) for all the values of . However, the out-of-plane quantities varied with span-depth ratio from  equal to 4 up to  equal to 20, after which they become constant and approximately equal to values from CPT. This shows that the present method is reliable and sufficient for thick plate analysis. Keywords- shear deformation, vertical shear strain, stress, deflection, rotation, potential energy

Type : Research paper

Published : Volume-3,Issue-6

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