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Category Archives: Newton
Cubic splines with jagged data
A cubic spline provides a good approximation to a smooth curve, and alternative versions are available for free download (see Daily Download 22: Splines and Curves, Update to AL-Spline-Matrix, and xlwSciPy 1.09 – update for xlwings 0.10 and Scipy 0.18.1), but if … Continue reading
Posted in Arrays, Beam Bending, Concrete, Curve fitting, Excel, Newton, UDFs, VBA
Tagged CSplineA, Cubic splines, Excel, fitting jagged data, MSplineA, UDF, VBA
2 Comments
Building Houses in Cambodia
Driving through the Phnom Penh traffic … and crossing the Mekong River … Brings us to the Raw Impact construction site .. Where we have 4 days to complete 2 houses: On day 4, with one house complete and one … Continue reading
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
7 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
11 Comments
Brent’s Method; Update and Examples
Brent’s Method is a refinement of Newton’s Method for the numerical solution of any equation with one variable. The User Defined Function (UDF) QuadBrent was described in: The Inverse Quadratic Method 3 – Brent’s Method Following a recent question, I have … Continue reading
Posted in Arrays, Excel, Maths, Newton, UDFs, VBA
Tagged Brents method, Excel, inverse quadratic, iterative solution, Maths, UDF, VBA
5 Comments