Tag Archives: Newton’s Method

Solving non-linear equations with two or more unknowns – 5

This will be the last of the series on solving non-linear equations (for now).  Up until now all the examples have had two unknown values, and two target values.  This can be extended by making three changes to the code: … Continue reading

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Solving non-linear equations with two or more unknowns – 4

As promised in the previous post, the spreadsheet including the new functions to calculate reinforced (or prestressed) concrete moment-curvature with a revised concrete tension stress-block is now available for download from: RC design functions7.zip The spreadsheet includes full open source … Continue reading

Posted in Beam Bending, Concrete, Excel, Maths, Newton, UDFs, VBA | Tagged , , , , , , , , | Leave a comment

Solving non-linear equations with two or more unknowns – 3

For the next stage of the non-linear solver saga I am looking at the same problem as in the previous post (finding the curvature or a reinforced concrete section under specified bending moment and axial load), but with more realistic … Continue reading

Posted in Beam Bending, Excel, Maths, Newton, UDFs, VBA | Tagged , , , , , , , | 1 Comment

Solving non-linear equations with two or more unknowns – 2

The previous post presented a simple but slow procedure for solving non-linear equations with two unknowns.  In this post I will describe a much faster method, that also has the advantage that it can simply be extended to work with … Continue reading

Posted in Beam Bending, Concrete, Excel, Maths, Newton, UDFs, VBA | Tagged , , , , , , | 5 Comments

Solving non-linear equations with two or more unknowns – 1

Newton’s Method is a well known iterative solution for non-linear equations with one unknown.  That is, if some value Y depends on a variable X, then we can use Newton’s Method to find X for any given value of Y.  … Continue reading

Posted in Beam Bending, Excel, Maths, Newton, UDFs, VBA | Tagged , , , , , , , | 1 Comment