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# Category Archives: UDFs

## Solving the Lagrangian Point equation for the Moon

This post was prompted by a recent question at Fitting high order polynomials, asking for Excel methods to solve the equations for the radius of the Moon’s Lagrangian Point 1. All the methods described in this post have been added to … Continue reading

Posted in Excel, Maths, Newton, UDFs, VBA
Tagged Excel, iterative solution, Lagrangian point, Newton, polynomial solution, UDFs, VBA
3 Comments

## ULS design of circular reinforced concrete columns

The RC Design Functions spreadsheet has been updated (to Version 8.04) with the addition of a CircU function for ULS design of circular reinforced concrete sections under combined bending and axial load. The new version, including full open-source code, may … Continue reading

## ULS Design Functions – update for AS 3600

The ULS Design Functions spreadsheet (last posted here) has been updated to the new Australian Standard for concrete structures; AS 3600-2018. The new version can be downloaded from: ULS Design Functions.zip Note that the biaxial version included in the download … Continue reading

Posted in Beam Bending, Concrete, Excel, Newton, UDFs, VBA
Tagged AS 3600, AS 5100, circular section, Excel, Reinforced Concrete, UDF, ULS Design Functions, VBA
2 Comments

## Working with dynamic arrays in Excel

Many of the VBA functions available here return results as arrays, which must be entered by selecting the desired output range, then pressing Ctrl-Shift-Enter (CSE). This can be inconvenient (or at least untidy) when the size of the output array varies. … Continue reading

Posted in Arrays, Excel, UDFs, VBA
Tagged Charles Williams, dynamic arrays, Excel, Fast Excel, VBA, Wndows Insider
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## RC Design Functions 8_03

The RC Design Functions 8_03 spreadsheet is now available for free download from: RC Design Functions8.zip The main changes are: The NA layer check has been corrected for compression steel in tension The new AS 3600 crack width and curvature … Continue reading

Posted in Beam Bending, Concrete, Excel, Newton, UDFs, VBA
Tagged AS 3600, crack width, Curvature, Excel, RC Design Functions, Reinforced Concrete, UDF, VBA
9 Comments

## Numerical Integration; Tanh-Sinh Quadrature v. 4.42

Back to Newton and Excel. I recently received a new update to the Tanh-Sinh Quadrature spreadsheet from Graeme Dennes, which may be downloaded from: Tanh_Sinh Quadrature. From the Readme: The Tanh-Sinh quadrature workbook has been enhanced as follows: The Tanh-Sinh … 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
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## Multiple Integration with Scipy

Scipy has 3 functions for multiple numerical integration in the scipy.integrate module: dblquad: Compute a double integral. tplquad: Compute a triple integral’ nquad: Integration over multiple variables. I have written six functions to call these functions from Excel, via Pyxll: Each … Continue reading

Posted in Excel, Link to Python, Maths, Newton, Numerical integration, NumPy and SciPy, PyXLL, UDFs
Tagged Excel, multiple integration, Python, PyXLL, SciPy, UDFs
6 Comments