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Strength of Thin-Walled Elliptical Cylinders Supported at the Minor Axis


Howland, Walter Lavern (1939) Strength of Thin-Walled Elliptical Cylinders Supported at the Minor Axis. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/KQK7-V396.


In this investigation it was found that the instability failure of curved sheet is nearly independent of the type of loading and is primarily a function of the maximum stress, radius-thickness ration and modulus of elasticity. A method of correlating the critical stress of thin sheet under several different types of loading is given. An explanation for the experimental critical stress of thin walled cylinders under bending being greater than that for pure compression is given. The strength of unstiffened thin walled circular nose sections under pure bending was found to be controlled by local instability of the section, rather than a large scale instability. The equation of local instability of curved sheet gives values which are in fair agreement with those found experimentally.

The strength of elliptical cylinders supported at the minor axis under bending plus shear loads is governed primarily by the bending strength, and is little effected by the sheer force unless the amount of shear is quite large with respect to the moment. The effect of increasing the amount of elliptically greatly reduces the bending and shear strength of nose sections. Under torsional loads the stress at buckling falls off as the ration of the major to minor axis increases but the failure stress decreases at a slower rate than the buckling stress. The length effect of semi-circular sections under torsion is similar to that of a circular tube, and can be obtained by Donnell's theoretical equation.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:Aeronautics
Degree Grantor:California Institute of Technology
Division:Engineering and Applied Science
Major Option:Aeronautics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • von Kármán, Theodore (advisor)
  • Sechler, Ernest Edwin (advisor)
  • Millikan, Clark Blanchard (advisor)
  • Klein, Arthur Louis (advisor)
Thesis Committee:
  • Unknown, Unknown
Defense Date:1 January 1939
Additional Information:Page 9 is missing from the original.
Record Number:CaltechTHESIS:10012015-161848918
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:9190
Deposited By: Benjamin Perez
Deposited On:02 Oct 2015 15:02
Last Modified:16 Aug 2023 23:21

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