Analysis of a Thick Plate with a Circular Hole Resting on a Smooth Rigid Bed and Subjected to Axisymmetric Normal Load

K. Chandrashekhara; S. K. Muthanna

doi:10.1007/BF01175937

Analysis of a Thick Plate with a Circular Hole Resting on a Smooth Rigid Bed and Subjected to Axisymmetric Normal Load

K. Chandrashekhara
, S. K. Muthanna

Mechanical and Aerospace Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

A solution for the stresses and displacements in an radially infinite thick plate having a circular hole, one face of which resting on a smooth rigid bed and the other face subjected to axisymmetric normal loading is given. The solution is obtained in terms of Fourier-Bessel series and integral for the Love's stress function. Numerical results are presented for one particular ratio of thickness of plate to the hole radius and loading. It is also shown that the Poisson's ratio has a predominant effect on certain stresses and displacements. The solution would be useful in the stress analysis of bolted joints.

Original language	American English
Journal	Acta Mechanica
DOIs	https://doi.org/10.1007/BF01175937
State	Published - Jan 1 1979

Disciplines

Aerospace Engineering
Mechanical Engineering

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title = "Analysis of a Thick Plate with a Circular Hole Resting on a Smooth Rigid Bed and Subjected to Axisymmetric Normal Load",

abstract = " A solution for the stresses and displacements in an radially infinite thick plate having a circular hole, one face of which resting on a smooth rigid bed and the other face subjected to axisymmetric normal loading is given. The solution is obtained in terms of Fourier-Bessel series and integral for the Love's stress function. Numerical results are presented for one particular ratio of thickness of plate to the hole radius and loading. It is also shown that the Poisson's ratio has a predominant effect on certain stresses and displacements. The solution would be useful in the stress analysis of bolted joints.",

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AU - Chandrashekhara, K.

AU - Muthanna, S. K.

PY - 1979/1/1

Y1 - 1979/1/1

N2 - A solution for the stresses and displacements in an radially infinite thick plate having a circular hole, one face of which resting on a smooth rigid bed and the other face subjected to axisymmetric normal loading is given. The solution is obtained in terms of Fourier-Bessel series and integral for the Love's stress function. Numerical results are presented for one particular ratio of thickness of plate to the hole radius and loading. It is also shown that the Poisson's ratio has a predominant effect on certain stresses and displacements. The solution would be useful in the stress analysis of bolted joints.

AB - A solution for the stresses and displacements in an radially infinite thick plate having a circular hole, one face of which resting on a smooth rigid bed and the other face subjected to axisymmetric normal loading is given. The solution is obtained in terms of Fourier-Bessel series and integral for the Love's stress function. Numerical results are presented for one particular ratio of thickness of plate to the hole radius and loading. It is also shown that the Poisson's ratio has a predominant effect on certain stresses and displacements. The solution would be useful in the stress analysis of bolted joints.

UR - https://scholarsmine.mst.edu/mec_aereng_facwork/2118

UR - https://doi.org/10.1007/BF01175937

U2 - 10.1007/BF01175937

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M3 - Article

JO - Acta Mechanica

JF - Acta Mechanica

ER -

Analysis of a Thick Plate with a Circular Hole Resting on a Smooth Rigid Bed and Subjected to Axisymmetric Normal Load

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