Category Archives: Newton

Defining beam orientation in 3D

Posted on 19/01/2013 by dougaj4

The principal axes of a beam (or any 2D closed shape) are defined as the axes along which an applied load will not cause any deflection in the transverse direction.  In mathematical terms, if the beam cross-section is defined in the … Continue reading →

Posted in Beam Bending, Coordinate Geometry, Frame Analysis, Maths, Newton | Tagged , , , , | Leave a comment

The angle between two vectors, in 2D or 3D

Posted on 12/01/2013 by dougaj4

Finding the angle between two lines in 2D is easy, just find the angle of each line with the x-axis from the slope of the line and take the difference.  In 3D it is not so obvious, but it can … Continue reading →

Posted in Coordinate Geometry, Excel, Maths, Newton, UDFs, VBA | Tagged , , , , , , | 9 Comments

Tanh-Sinh Quadrature V4.0

Posted on 03/01/2013 by dougaj4

Since last September Graeme Dennes has continued work on his Tanh-Sinh Quadrature spreadsheet, and has recently released Version 4.0, which can be downloaded from: Tanh-Sinh. As usual, the download includes full open-source code and extensive documentation. The new version includes routines … Continue reading →

Posted in Excel, Maths, Newton, Numerical integration, UDFs, VBA | Tagged , , , , | 6 Comments

The statement below is false

Posted on 20/12/2012 by dougaj4

If you think I’m wrong, try looking at it from a different perspective. The picture above came from an optical illusion blog at: http://www.anopticalillusion.com/ and I was led there from: http://www.josleys.com/index.php which is an amazing collection of mathematical imagery by … Continue reading →

Posted in Bach, Maths, Newton, Ray Tracing | Tagged , , , , | Leave a comment

Extending Frame4 with on sheet formulas

Posted on 11/12/2012 by dougaj4

Still on Frame4, Julien asked if provision could be made for application of local loads, i.e. loads perpendicular to sloping members, rather than just horizontal or vertical.  This will actually be incorporated in the spreadsheet “real soon now”, but it … Continue reading →

Posted in Beam Bending, Excel, Finite Element Analysis, Frame Analysis, Newton, VBA | Tagged , , , , | 3 Comments