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Influence of concentrated lateral loads on the elastic stability of cylinders in bending

Mylar model experiments reveal two modes of failure—collapse and snap**

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Abstract

The character of the instability and the degradation of the moment-carrying capacity are found by Mylar model experiments for cylinders in bending when subjected to concentrated lateral loads. Lateral loads can seriously degrade the moment capability of cylinders. Critical combinations of moment and lateral load cause two distinct modes of failure—collapse and snap**. Collapse modes exhibit buckles which cover the compression half of the cylinder and are critical for large values of moment and small values of lateral load. Snap** modes of failure involve a single dimple and exist for smaller values of moment and larger values of lateral load.

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Abbreviations

D :

bending rigidity [see eq (4)]

E :

Young's modulus

L :

lenght of shell

M :

bending moment

P :

axial force

P * :

particular value of axial force [see eq (1)]

p :

internal pressure

Q :

magnitude of a lateral load

R :

radius of shell

S i :

designation for spatial distribution of loads (see Fig. 1)

t :

thickness of shell wall

ν:

Poisson's ratio

δ:

radial displacement

σ:

axial stress

References

  1. Weingarten, V. I., “Effects of Internal Pressure on the Bending of Circular-Cylindrical Shells Under Bending,”Jnl. Aeronaut. Sci.,29,804–807 (1962).

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  2. Weingarten, V. I., Morgan, E. J. andSeide, P., Final Report on Development of Design Criteria for Elastic Stability of Thin Shell Structures STL/TR-60-000-19425, Space Technology Laboratories, El Segundo, Calif. (1960).

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  3. Ricardo, O. G., An Experimental Study on the General Buckling of Thin-Walled Circular Cylinders Under Axial Loads, NASA Research Grant No. NsG-18-59, Guggenheim Aeronautical Laboratory, California Institute of Technology, Pasadena, Calif. (1960).

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  4. Babcock, C., California Institute of Technology, personal communication to P. Wilson concerning tests of brass cylinders performed in 1960 (October 10, 1967).

  5. Seide, P., Consultant to The Aerospace Corporation, personal communication (August 28, 1967).

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Authors and Affiliations

  1. Mechanics Research Dept., The Aerospace Corporation, Los Angeles, Calif.

    S. Okubo (Member of Technical Staff), P. E. Wilson (Staff Engineer) & J. S. Whittier (Head)

Authors
  1. S. Okubo
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  2. P. E. Wilson
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  3. J. S. Whittier
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Additional information

This paper was prepared under U.S. Air Force Contract F 04701-69-C-0066.

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Okubo, S., Wilson, P.E. & Whittier, J.S. Influence of concentrated lateral loads on the elastic stability of cylinders in bending. Experimental Mechanics 10, 384–389 (1970). https://doi.org/10.1007/BF02320421

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  • DOI: https://doi.org/10.1007/BF02320421

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