On the Nonlinear Differential Equation for Beam Deflection: EI d 2 y / dx 2 = M ( x ) [ 1 + ( dy / dx ) 2 ] 3 ⁄ 2

1 June 1955

journal article
Published by ASME International in Journal of Applied Mechanics

Vol. 22 (2) , 245-248
https://doi.org/10.1115/1.4011050

Abstract

A general solution of the nonlinear beam equation is given for all problems in which the moment can be expressed as a function of the independent variable alone.

Keywords

FUNCTION
NONLINEAR DIFFERENTIAL
DIFFERENTIAL EQUATION
BEAM DEFLECTION
INDEPENDENT VARIABLE
GENERAL SOLUTION

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