International Journal of Advances in Scientific Research and Engineering-IJASRE

SUCCESSIVE APPROXIMATION METHOD FOR THE CALCULATION OF BENT-COMPRESSED BEAMS OF CONSTANT STIFFNESS

Article Category: Civil Engineering

DOI: 10.31695/IJASRE.2019.33242

Pages: 7-12

Author: Moussa Sali,V. V. Filatov,Njomoue Pandong Achille

Abstract:

The finite difference equations of the successive approximation method (SAM) which substitute the differential equations of bending-compressed of constant stiffness are obtained. Difference equations of SAM, which approximate the limit conditions of the hand ends of the beam, are also obtained: simply supported hand end; rigidly fixed hand end and freehand end. On the basis of the obtained equations, a numerical algorithm was developed for calculating beams of constant thickness under the action of various static loads. According to this algorithm, a program for calculating beams on a computer was performed. The examples presented here show the accuracy of the results and the simplicity of the algorithm. Checks for integral equilibrium conditions of beams were performed to validate the newly obtained results.

Keyword: Successive Approximation Method, Bent-Compressed Beam, Constant Thickness, Numerical Algorithm, Equilibrium Conditions

This work is licensed under a Creative Commons Attribution 4.0 (International) Licence. (CC BY-NC 4.0)
Copyright © 2018 IJASRE All Rights Reserved

Hit Web Stats