On Critical Buckling Loads of Columns under End Load Dependent on Direction

Abstract

Most of the phenomena of various fields of applied sciences are nonlinear problems. Recently, various types of analytical approximate solution techniques were introduced and successfully applied to the nonlinear differential equations. One of the aforementioned techniques is the Homotopy analysis method (HAM). In this study, we applied HAM to find critical buckling load of a column under end load dependent on direction. We obtained the critical buckling loads and compared them with the exact analytic solutions in the literature.

Vibration Analysis for Bending of Vertical Plates in PVC Scrap Filtration Machine

“…Such column does not fail in crushing alone but also by bending. [8] The vertical plate of PVC scrap filtration machine has an end fixed and other is free. The free end will sway sideways when load is applied at free end and curvature in the length will be similar to that of upper half of the column whose both ends are hinged.…”

Buckling Analysis of Steel Fiber Column with Different Cross-Section and Boundary Conditions Using Euler-Bernoulli Beam Theory

“…He has performed a buckling analysis. The researchers has used many analytical and numerical methods to model column and beam elements and compared their results with experimental results or to each other [19][20][21][22][23][24][25][26][27][28][29][30][31][32][33], similar to the approaches used in the column elements have been also studied in the beam elements [34][35][36][37][38][39][40][41].…”