Open AccessAnalytical Solution for the Boundary Value Problem of Elastic Beams Subjected to Distributed Load
Author(s) -
M. A. Usman,
Nur Nabilah Afja Mohd Afandi,
F. A. Hammed,
Debora Oluwatobi Daniel
Publication year - 2021
Publication title -
journal of engineering science
Language(s) - English
Resource type - Journals
eISSN - 2180-4214
pISSN - 1823-3430
DOI - 10.21315/jes2021.17.1.5
Subject(s) - moving load , deflection (physics) , boundary value problem , acceleration , partial differential equation , beam (structure) , mechanics , dynamic equation , mathematical analysis , mathematics , physics , structural engineering , classical mechanics , engineering , finite element method , nonlinear system , quantum mechanics
Analytical solution for the boundary value problem (BVP) of elastic beams subjected to distributed load was investigated. Based on the study, dynamic application curves are developed for beam deflection. The partial differential equation of order four were analysed to determine the dynamic response of the elastic beam under consideration and solved analytically. Effects of different parameters such as the mass of the load, the length of the moving load, the distance covered by the moving load, the speed of the moving and the axial force were considered. Result revealed that the values of the deflection with acceleration being considered are higher than the system where acceleration of the moving load is negligible. These obtained results are in agreement with the existing results.