Large-deflection theory for end compression of long rectangular plates rigidly clamped along two edges

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The von Karman equations for flat plates are solved beyond the buckling load up to edge strains equal to eight time the buckling strain, for the extreme case of rigid clamping along the edges parallel to the load. Deflections, bending stresses, and membrane stresses are given as a function of end compressive load. The theoretical values of effective width are compared with the values derived for simple support along the edges parallel to the load. The increases in effective width due to rigid clamping drops from about 20 percent near the buckling strain to about 8 percent at an edge ... continued below

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Levy, Samuel & Krupen, Philip January 1, 1943.

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This report is part of the collection entitled: National Advisory Committee for Aeronautics Collection and one other and was provided by UNT Libraries Government Documents Department to Digital Library, a digital repository hosted by the UNT Libraries. It has been viewed 336 times , with 4 in the last month . More information about this report can be viewed below.

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  • Main Title: Large-deflection theory for end compression of long rectangular plates rigidly clamped along two edges
  • Series Title: NACA Technical Notes

Description

The von Karman equations for flat plates are solved beyond the buckling load up to edge strains equal to eight time the buckling strain, for the extreme case of rigid clamping along the edges parallel to the load. Deflections, bending stresses, and membrane stresses are given as a function of end compressive load. The theoretical values of effective width are compared with the values derived for simple support along the edges parallel to the load. The increases in effective width due to rigid clamping drops from about 20 percent near the buckling strain to about 8 percent at an edge strain equal to eight times the buckling strain. Experimental values of effective width in the elastic range reported in NACA Technical Note No. 684 are between the theoretical curves for the extremes of simple support and rigid clamping.

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  • : 93R10921
  • URL: http://hdl.handle.net/2060/19930081631 External Link
  • Report No.: NACA-TN-884
  • Center for AeroSpace Information Number: 19930081631
  • Archival Resource Key: ark:/67531/metadc54729

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National Advisory Committee for Aeronautics Collection

The National Advisory Committee for Aeronautics (NACA) was a U.S. federal agency founded on March 3, 1915 to undertake, promote, and institutionalize aeronautical research. On October 1, 1958 the agency was dissolved, and its assets and personnel transferred to the newly created National Aeronautics and Space Administration (NASA).

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Creation Date

  • January 1, 1943

Added to The UNT Digital Library

  • Nov. 14, 2011, 10:28 p.m.

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  • Feb. 1, 2017, 4:17 p.m.

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Levy, Samuel & Krupen, Philip. Large-deflection theory for end compression of long rectangular plates rigidly clamped along two edges, report, January 1, 1943; (digital.library.unt.edu/ark:/67531/metadc54729/: accessed August 23, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.