Category Archives: Newton

More on buckling columns

Posted on 27/06/2010 by dougaj4

Coincidentally, at about the same time as I wrote about column buckling for a column with a point load on the end, Autar Kaw at The Numerical Methods Guy was writing about buckling of columns under self weight, using the theory of … Continue reading →

Posted in AlgLib, Beam Bending, Excel, Maths, Newton, UDFs, VBA | Tagged , , , , , , | 1 Comment

SplineBeam update

Posted on 20/06/2010 by dougaj4

Previous SplineBeam post I have modified the SplineBeam spreadsheet to allow input of a single span (simply supported or with end constraints), and to optionally allow input of the position of intermediate nodes, rather than dividing each span into equal segment lengths.  This … Continue reading →

Posted in Arrays, Beam Bending, Excel, Frame Analysis, Newton, UDFs, VBA | Tagged , , , , | 1 Comment

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

Posted on 19/06/2010 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

Using the AlgLib ODE (Runge-Kutta) Solver with Excel

Posted on 18/06/2010 by dougaj4

Or to be more correct, the AlgLib Cash-Karp Solver, Cash-Karp being a refinement of the Runge-Kutta method of solving ordinary differential equations. Solution of differential equations is an iterative process requiring the repeated application of the solver routine followed by evaluation of … Continue reading →

Posted in AlgLib, Beam Bending, Differential Equations, Excel, Maths, Newton, UDFs, VBA | Tagged , , , , , , , , | 8 Comments

Elegant solutions, Simple Harmonic Motion, and the hole through the middle of the Earth

Posted on 14/06/2010 by dougaj4

No, not the hole (beloved of conspiracy theorists everywhere) where our alien overlords keep their UFO’s, but rather the equally imaginary hole from Pole to Pole (beloved of physics teachers everywhere) where we can drop in objects and watch them travel … Continue reading →

Posted in Differential Equations, Maths, Newton | Tagged , , , | 5 Comments