Accession Number:

AD0806922

Title:

ELASTIC DEFLECTIONS OF A CANTILEVER PLATE LOADED BY A CONCENTRATED FORCE AT A GENERAL POINT (PRUZNE PRUHYBY KONSOLOVE DESKY ZATIZENE OSAMELOU V OBECNEM BODE).

Descriptive Note:

Edited translation,

Corporate Author:

FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OH

Personal Author(s):

• Hert, Josef

Report Date:

1966-11-07

Pagination or Media Count:

37.0

Abstract:

The determination is made of elastic deflections of a thin cantilever plate in the form of an infinite flat strip, loaded at a common point by a force perpendicular to the central plane of the strip. The first part of the article considers the deflection of a strip with a constant thickness. The exact solution, based on the theory of thin plates is obtained in a new manner using the principle of superposition. The detailed numerical results then make possible the evaluation of the subsequent energetic solution of a strip with a variable cross-section. This is obtained by a combination of two known variational methods. The general results are applied to two numerical examples the deflection of a strip with a constant thickness these show a satisfactory agreement with the exact solution, and that of a strip with a trapezoidal cross-section. The experimental verification of these theoretical results was also obtained.

Descriptors:

• (*CANTILEVER BEAMS
• ELASTIC PROPERTIES)
• MATHEMATICAL ANALYSIS
• LOADS(FORCES)
• DEFLECTION
• THICKNESS
• STRESSES
• PARTIAL DIFFERENTIAL EQUATIONS
• CZECHOSLOVAKIA
• BENDING

Subject Categories:

• Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE