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Stress concentration and load diffusion in rectangular panels with constant stress flanges

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Abstract

The stress concentration that occurs when load is diffused from a constant stress member into thin sheet is an important problem in the design of light weight structures. By using solutions in biharmonic polar-trigonometric series, the stress concentration can be effectively isolated so that highly accurate information necessary for design can be obtained. A method of analysis yielding high accuracy with limited effort is presented for rectangular panels with transverse edges free or supported by inextensional end ribs. Numerical data are given for panels with length twice the width.

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Abbreviations

a, b :

semi length, semi width of panel

EI f, EI r :

flexural stiffness of flange and end rib, respectively

EA r :

axial stiffness of end rib

F :

flange area

P :

flange load

q :

shear applied to panel along its edges

t :

thickness of the panel

x, y :

Cartesian coordinates

r, θ :

polar coordinates

σ AB, σ DC :

constant axial stress in flanges AB and DC, respectively

σ x , σ y , σ xy :

direct and shear stress in Cartesian coordinates

σγ, σα, σγγ :

direct and shear stress in polar coordinates

φ :

Airy stress function

single letters:

indicate location (e.g. P A

pairs of letters:

indicate flange along which the quantity varies (e.g. P AB)

References

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  2. Mansfield, E. H., Rep. and Mem. No. 2965, Aeronautical Res. Council, Her Majesty's Stationary Office, London January 1954.

  3. Rao, A. K., A Study into the Problem of Diffusion of Loads, Ph.D. thesis, University of London, London 1958.

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  4. Dattaguru, B., Ph.D. thesis on load diffusion and stress concentration (under preparation), Indian Institute of Science, Bangalore, India.

  5. Timoshenko, S., and J. N. Goodier, Theory of Elasticity, McGraw-Hill, New York 1953.

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  6. Mitchell, L. H., Rep. and Mem. No. 2878, Aeronautical Res. Council, Her Majesty's Stationary Office, London May 1952.

  7. Mitchell, L. H., Rep. SM 232, Aeronautical Res. Lab., Dept. of Supply, Melbourne (Vict.) Australia 1955.

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Authors and Affiliations

  1. Dept. of Aeronautical Eng., Indian Institute of Science, Bangalore - 12, India

    B. Dattaguru & A. K. Rao

Authors
  1. B. Dattaguru
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  2. A. K. Rao
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Dattaguru, B., Rao, A.K. Stress concentration and load diffusion in rectangular panels with constant stress flanges. Appl. Sci. Res. 20, 326–337 (1969). https://doi.org/10.1007/BF00382405

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  • DOI: https://doi.org/10.1007/BF00382405

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