Category Archives: Newton

Evaluating higher order polynomials …

… and a better solution for quadratics. Having written a better solver for high order polynomials, that raises a few other issues.  The error in the roots found by the RPolyJT was checked by simply substituting each root as the … Continue reading

Posted in Excel, Maths, Newton, UDFs, VBA | Tagged , , , , , , | 4 Comments

Solving higher order polynomials

The Quartic spreadsheet presented here previously (most recently here) uses algebraic techniques to provide an “exact” solution to polynomial equations of up to fouth order.  For polynomials of higher order there is no general algebraic solution, and numerical methods are … Continue reading

Posted in Excel, Maths, Newton, UDFs, VBA | Tagged , , , , , , | 12 Comments

LatPile update

I have just posted an update to the LatpilePY spreadsheet, fixing a bug in the way in which it read the first row of data from input PY curves, which was resulting in the program failing to run if there were … Continue reading

Posted in Concrete, Excel, Geotechnical Engineering, Newton, UDFs, VBA | Tagged , , , , , , | 2 Comments

Elegant Solutions – completing the square

When I was at school (many years ago), if I recall correctly, we were told of the “completing the square” method of solving quadratic equations, but I never really appreciated the elegance of this method because it was treated as … Continue reading

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Buckling of rings and arches

In 2007 I wrote a paper on buckling of confined steel tunnel liners for the ANZ Geomechanics Conference in Brisbane, and in the course of that I noticed that the calculated buckling load of an unconstrained pipe subject to uniform radial load was significantly … Continue reading

Posted in Arch structures, Beam Bending, Excel, Newton, VBA | Tagged , , , | 15 Comments