Category Archives: Numerical integration

Beam actions and deflections by Macaulay’s Method

Macaulay’s Method is a convenient method of applying beam slope-deflection equations to find the shear forces, bending moments, slopes and deflections of a structural beam subject to complex load conditions, including partial varying distributed loads and point loads and moments.  It … Continue reading

Posted in Beam Bending, Excel, Frame Analysis, Newton, Numerical integration, UDFs, VBA | Tagged , , , , | 15 Comments

Tanh-Sinh Quadrature V2.1

Graeme Dennes has released another update to his Tanh-Sinh Quadrature spreadsheet, which can be downloaded from:  Tanh-Sinh Quadrature (including, as usual, full open source code).  Here is Graeme’s description of the changes: In Version 2.0, the nodes and weights array data … Continue reading

Posted in Excel, Newton, Numerical integration, UDFs, VBA | Tagged , , , , | 2 Comments

Tanh-Sinh Quadrature V2.0

I recently received an update of the Tanh-Sinh Quadrature spreadsheet from Graeme Dennes, which can be downloaded from:  Tanh-Sinh Quadrature (including, as usual, full open source code). – Link fixed 5th April 2011 Here is Graeme’s description of the updates: The … Continue reading

Posted in Excel, Maths, Newton, Numerical integration, UDFs, VBA | Tagged , , , , | 2 Comments

XNumbers and Tropical Events

My on-line friend Al Vachris recently sent me a link to the Tropical Events site, which features a detailed analysis of the orbital motion of the Earth and the other bodies of the solar system, all done in Excel, and … Continue reading

Posted in Excel, Maths, Newton, Numerical integration | Tagged , , , | 16 Comments

Double Exponential Quadrature

Graeme Dennes has updated his Tanh-Sinh Quadrature spreadsheet to include Double Exponential Quadrature.  His brief notes are given below, and more details and links to background information are included in the download file. ================================================================= Double Exponential Quadrature UDFs added to Tanh-Sinh Quadrature … Continue reading

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