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# Category Archives: Beam Bending

## 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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## Beam geometric non-linear effects

A quick and convenient way to allow for the effect of deformations on the behaviour of beams and columns under axial load is to adjust the beam stiffness matrix, so that the calculated deflections are in equilibrium with the applied … Continue reading

Posted in Beam Bending, Excel, Finite Element Analysis, Frame Analysis, Newton, UDFs, VBA
Tagged Euler buckling, Excel, Frame Analysis, Non-linear geometry, Second order effects, UDF, VBA
2 Comments

## 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

## 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
5 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
7 Comments

## Composite Beam Spreadsheet Update 1.01

Following a comment here, I have modified the Composite Beam spreadsheet to correct the stage 1 stresses forces in the reinforcement as listed in Columns 6 and 7, when the tensile face is the top. The output has also been … Continue reading

Posted in Beam Bending, Concrete, Excel, Newton, UDFs, VBA
Tagged AS 3600, AS 5100, Composite beam design, Excel, Prestressed concrete, Reinforced Concrete, UDF, VBA
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## Stepping through 3DFrame

Following a recent comment this post looks at the code for setting up the stiffness matrix for a 3D frame, and how to step through any selected part of the code. The general procedure for setting up a 3D stiffness matrix, … Continue reading

Posted in Beam Bending, Excel, Finite Element Analysis, Frame Analysis, Newton, UDFs, VBA
Tagged 3DFrame, Debugging UDFs, Debuging VBA, Excel, UDF, VBA
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