Iterative method for determining the lateral deflection of beams and plates

Bera, Rajendra K (1977) Iterative method for determining the lateral deflection of beams and plates. Technical Report. National Aeronautical Laboratory, Bangalore, India.

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Abstract

An iterative procedure is described for determining13; the lateral deflection of beams and cf infinitely long,13; finite width plates under a prescribed loading. The accuracy of the method is expected to be better than that of the linear theory,There the Bernoulli-Euler equation is solved. The assumptions made in the procedtITeare that the moment curvature relationship obey the Bernoulli-Euler theorem, that the properties of the material do not vary through out the entire loading histry, that Hooke's law is valid, and that the spatial derivative of the deflection of any point is less than unity. An important feature of the iterative method is-that it reduces the original non-linear equation to a sequence of determinate problems involving only ordinary linear, second-order equations for the deflection for a prescribed loading condition.

Item Type: Monograph (Technical Report)
Uncontrolled Keywords: Lateral deflection:Iterative method;Bernoulli-euler theorem
Subjects: MATHEMATICAL AND COMPUTER SCIENCES > Numerical Analysis
Depositing User: Users 60 not found.
Date Deposited: 30 Aug 2006
Last Modified: 24 May 2010 04:18
URI: http://nal-ir.nal.res.in/id/eprint/2510

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