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Category Archives: Newton
Buckling of columns with varying cross section
Following a post in the Eng-Tips Forum about finding the buckling load of a stepped strut I have modified the Frame4 spreadsheet to carry out a buckling analysis of any straight member subject to axial load, including stepped or tapered cross … Continue reading
Posted in Beam Bending, Excel, Frame Analysis, Newton, VBA
Tagged column buckling, Euler buckling, Excel, Frame Analysis, stepped column, tapered column, VBA, Vianello
27 Comments
Solving cubic and quartic equations with Excel
Although in earlier posts (such as this one) I have referred to some User Defined Functions (UDFs) for solving cubic and quartic equations, I just realised recently that I haven’t actually talked about them here, and since they are in … Continue reading
The hole through the middle of the Earth – moved to the Equator
Previous posts in this series assumed that the hole went from pole to pole, and ignored such complications as tidal effects and wobbles of the axis of rotation. In this post we will examine the effect of moving the hole … Continue reading
Posted in Differential Equations, Excel, Maths, Newton, UDFs, VBA
Tagged Excel, hole trough the middle of the Earth, ODE Function, ODE solver, UDF, VBA
2 Comments
Lateral pile analyis with PY curves …
… and non-linear pile properties. In previous posts I have presented Excel User Defined Functions (UDFs) to analyse a laterally loaded pile, generate soil PY Curves based on the recommendations in the COM624 Manual, and determine the flexural stiffness of cracked … Continue reading
Posted in Concrete, Excel, Geotechnical Engineering, Newton, UDFs, VBA
Tagged COM624, Excel, Laterally loaded pile, Non-linear concrete, UDF, VBA
17 Comments
Arches, anagrams and plagiarism
A previous post discussed Robert Hooke’s solution for the optimum shape of an ach structure standing under its own weight: “Ut pendet continuum flexile, sic stabit contiguum rigidum inversum” which translates as: “As hangs the flexible line, so but inverted will … Continue reading