Tag Archives: Euler buckling

Column buckling under multiple loads

Posted on January 20, 2020 by dougaj4

Following another buckling discussion at Eng-tips I have modified my Frame4-buckle spreadsheet to allow input of multiple axial loads at any point along the column, along with any number of sections with different section properties.  Background on the method used … Continue reading →

Posted in AlgLib, Beam Bending, Excel, Finite Element Analysis, Frame Analysis, Newton, UDFs, VBA | Tagged , , , , , , , , , | Leave a comment

Beam geometric non-linear effects

Posted on April 21, 2018 by dougaj4

A quick and convenient way to allow for the effect of deformations on the behaviour of beams and columns under axial load is to adjust the beam stiffness matrix, so that the calculated deflections are in equilibrium with the applied … Continue reading →

Posted in Beam Bending, Excel, Finite Element Analysis, Frame Analysis, Newton, UDFs, VBA | Tagged , , , , , , | 4 Comments

Buckling of columns with varying cross section

Posted on August 9, 2010 by dougaj4

Following a post in the Eng-Tips Forum about finding the buckling load of a stepped strut I have modified the Frame4 spreadsheet to carry out a buckling analysis of any straight member subject to axial load, including stepped or tapered cross … Continue reading →

Posted in Beam Bending, Excel, Frame Analysis, Newton, VBA | Tagged , , , , , , , | 27 Comments

Elegant solutions, Column buckling, and the hole through the middle of the Earth

Posted on June 19, 2010 by dougaj4

The previous post presented some examples of solution of differential equations using an iterative process, including the simple harmonic motion problem of a ball falling through an evacuated hole through the middle of the Earth.  The final example was concerned … Continue reading →

Posted in Beam Bending, Differential Equations, Newton | Tagged , , | 5 Comments