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# Category Archives: Maths

## xlwSciPy update for Python 3

The xlwSciPy spreadsheet allows a wide variety of the science and maths functions in the Python Numpy and Scipy libraries to be called directly from Excel. The spreadsheet has now been updated for use with Python 3. The spreadsheet and … Continue reading

Posted in Coordinate Geometry, Differential Equations, Excel, Link to Python, Maths, Newton, Numerical integration, NumPy and SciPy, Python Pandas, UDFs, VBA, xlwings
Tagged Excel, Numpy, Python, SciPy, UDF, VBA, xlwings
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## More circle fitting options with Scipy

A comment on the first post on this topic found that the method used did not work well for short arcs of large radius circles. An example of the problem can be seen in the screen shots below: The function … Continue reading

Posted in Coordinate Geometry, Curve fitting, Excel, Link to Python, Maths, Newton, NumPy and SciPy, UDFs, VBA, xlwings
Tagged curve fitting, Excel, least squares, Numpy, ODR, Python, SciPy, VBA
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## Elegant proofs – more Pythagoras

Browsing the Plus Magazine site recently, I was struck the proof of Pythagoras’ Theorem shown in the animation below: Not just because it is an elegant proof, but also because of the author, the 20th President of the United States, … Continue reading

## More Python rotation functions

The code described in the previous post includes a Python function that rotates 3D coordinates by an angle defined with two vectors, using Rodrigue’s Rotation. I have now added this function to the IP2_py spreadsheet, where it is used in the … Continue reading

Posted in Coordinate Geometry, Drawing, Excel, Link to Python, Maths, Newton, NumPy and SciPy, UDFs, VBA, xlwings
Tagged Excel, fit 3D circle, Numpy, Python, RPView, UDF, VBA, xlwings, xl_RPView
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## Fitting 3D circles to scattered points

Following a comment at update-to-glob_to_loc3-and-loc_to_glob3-functions, I have modified the Python code at the linked site, so it can be run from Excel, via xlwings. The spreadsheet described below, and the associated Python code, can be download from: 3DCirc.zip The original … Continue reading

Posted in Coordinate Geometry, Excel, Link to Python, Maths, Newton, NumPy and SciPy, UDFs, VBA, xlwings
Tagged 3DCirc, Excel, fit 3D circle, Numpy, Python, UDF, VBA, xlwings
5 Comments

## Evaluating text with units and finding the neutral axis

A few weeks ago a comment asked for guidance on finding the moment capacity of a reinforced concrete section. This post will look at finding the depth of the neutral axis (NA) in a rectangular section, with a single layer of … Continue reading

Posted in Beam Bending, Concrete, Excel, Maths, Newton, UDFs, VBA
Tagged depth of neutral axis, elastic analysis, EvalU, evaluate text strings, evaluate units, Excel, Reinforced Concrete, UDF, ULS analyis, unit aware, VBA
2 Comments

## Section Properties with MeshPY, including torsion and warping

I recently discovered robbie van leeuwen’s structural engineering blog, which has an open-source set of Python routines for calculation of section properties, including torsion and warping constants. The program uses the MeshPY Library for generating the finite element meshes required … Continue reading

Posted in Beam Bending, Concrete, Excel, Finite Element Analysis, Frame Analysis, Link to Python, Maths, Newton, Numerical integration, NumPy and SciPy, Strand7, UDFs, VBA, xlwings
Tagged Excel, MatPlotlib, MeshPY, Python, section properties, Torsion, UDF, VBA, Warping
4 Comments