Category Archives: Maths

Newton-Raphson and Brent’s Method – Solver examples

Posted on 08/11/2020 by dougaj4

I recently discovered the Computing Skillset site (via open-struct-engineer), which has good information on the basis and use of the Newton-Raphson method: The Newton Raphson method explained, details, pictures, python code Highly instructive examples for the Newton Raphson method I … Continue reading →

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

Numerical Integration With Tanh-Sinh Quadrature v 5.0

Posted on 29/10/2020 by dougaj4

Graeme Dennes has updated his Tanh-Sinh Quadrature spreadsheet to V 5.0. The new version (including full open source code) may be downloaded from: Tanh-Sinh Quadrature Graeme’s summary of the new features in the spreadsheet: The Tanh-Sinh quadrature workbook has been … Continue reading →

Posted in Excel, Maths, Newton, Numerical integration, UDFs, VBA | Tagged , , , , | 13 Comments

A Treatise on the Mathematical Theory of Elasticity

Posted on 10/10/2020 by dougaj4

The book The Man Who Knew Infinity by Robert Kanigel describes the life of the Indian mathematician  Srinivasa Ramanujan, and also his Cambridge mentor G.H. Hardy. It mentions that Hardy was influenced by reading “A Treatise on the Mathematical Theory … Continue reading →

Posted in Beam Bending, Maths, Newton | Tagged , , , , | Leave a comment

Spherical Geometry and Vincenty’s Formulae

Posted on 27/09/2020 by dougaj4

Wikipedia has detailed articles on: Spherical Geometry  and Vincenty’s Formulae (for geometric calculations on an ellipsoid). The spreadsheet Vincenty.zip uses those resources to perform the following calculations, using both on-sheet calculations and VBA user-defined functions (UDF’s): Calculation of distance and … Continue reading →

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

Section Properties for Rotated Shapes

Posted on 06/08/2020 by dougaj4

I have just posted an update to my section properties spreadsheet, last discussed at: Using Section Properties- Group The new version can be downloaded from: Section Properties07-Group.zip The main sheet provides section properties for a wide variety of defined shapes: This … Continue reading →

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