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# Category Archives: Maths

## Numerical Integration; Tanh-Sinh Quadrature v. 4.4

Update 27 Nov 2018: Version 4.41 now available from the link below, with minor modifications for compatibility with Excel 2007. I recently received a new version (4.4) of the numerical integration spreadsheet by Graeme Dennes which is now available for … Continue reading

Posted in Charts, Excel, Maths, Newton, Numerical integration, UDFs, VBA
Tagged Double Exponential, Excel, Gauss-Kronrod, numerical integration, Romberg, Tanh-Sinh method, Tanh-Sinh Quadrature, UDF, VBA
8 Comments

## More iterative solvers

Following the recent post on using Brent’s Method solvers on an array (Iterative solvers and arrays), here is another example with an engineering related problem. The example is included in the xlScipy3 spreadsheet, which can be downloaded from: xlScipy3.zip The depth … Continue reading

Posted in Arrays, Beam Bending, Concrete, Excel, Link to Python, Maths, Newton, NumPy and SciPy, UDFs, VBA, xlwings
Tagged Brents method, depth of neutral axis, Excel, Python, Reinforced Concrete, SciPy, UDFs, VBA, xlwings
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## Iterative solvers and arrays

A recent thread at Eng-Tips was looking for a solution to the problem described below: The solutions to this problem described below can be downloaded from: ItSolve.zip and xlScipy3.zip The ItSolve.xlsb spreadsheet contains a user defined function (UDF) to solve iterative … Continue reading

## Arc-spline update

The input for the first version of the Arcspline function required the coordinates of the centre of each arc, as well as the angle of the tangents at each end of the arc. I have now added a new version with … Continue reading

Posted in Coordinate Geometry, Excel, Maths, Newton, UDFs, VBA
Tagged Arc-spline function, Excel, IP2.xlsb, UDFs, VBA
7 Comments

## Using VBA Evaluate as an Array Function

I recently discovered from a thread at Chandoo’s Excel Forum that the VBA Evaluate function can be used as an array function. As a simple example: Range(“A11:A16”).Value = Evaluate(“= B11:B16 + C11:C16”) will add the values in columns B and C, … Continue reading

Posted in Arrays, Coordinate Geometry, Excel, Maths, UDFs, VBA
Tagged array functions, Evaluate, Excel, UDFs, VBA
2 Comments

## Arcs and arc-splines

I have added two user defined functions (UDFs) to the IP2 spreadsheet to generate coordinates for a single arc, or a series of arcs connected (if necessary) by straight lines. The new version may be downloaded from: IP2.zip As an example … Continue reading

## Units and solvers with Pint and Sympy

Following the previous post I have adapted the units code to use the Pint package, and added a function using the Sympy equation solver, with Pint units. I have applied the functions to finding the depth of neutral axis of a … Continue reading

Posted in Beam Bending, Concrete, Excel, Link to Python, Maths, Newton, UDFs, VBA, xlwings
Tagged Evaluate text, evaluate units, Excel, Pint, Python, Solve text, Sympy, UDF, unit aware, Units, VBA, xlwings
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