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# Tag Archives: Brents method

## More on combined shear and bending design to AS 3600

Further to the last post on this subject I have been looking at procedures to speed up design for shear to AS 3600 when the “refined” analysis procedure is used. The issues that need to be addressed are: I have … Continue reading

Posted in Beam Bending, Concrete, Excel, Link to Python, Newton, NumPy and SciPy, PyXLL, UDFs
Tagged Brents method, Combined shear and bending, Excel, Longitudinal shear force, Python, PyXLL, SciPy, shear capacity, UDFs
4 Comments

## Newton-Raphson and Brent’s Method – Solver examples

I recently discovered the Computing Skillset site (via open-struct-engineer), which has good information on the basis and use of the Newton-Raphson method: The Newton Raphson method explained, details, pictures, python code Highly instructive examples for the Newton Raphson method I … Continue reading

Posted in Excel, Maths, Newton, UDFs, VBA
Tagged Brents method, Computing Skillset, Excel, Newton Raphson Method, UDF, VBA
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## More iterative solvers

Following the recent post on using Brent’s Method solvers on an array (Iterative solvers and arrays), here is another example with an engineering related problem. The example is included in the xlScipy3 spreadsheet, which can be downloaded from: xlScipy3.zip The depth … Continue reading

Posted in Arrays, Beam Bending, Concrete, Excel, Link to Python, Maths, Newton, NumPy and SciPy, UDFs, VBA, xlwings
Tagged Brents method, depth of neutral axis, Excel, Python, Reinforced Concrete, SciPy, UDFs, VBA, xlwings
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## Iterative solvers and arrays

A recent thread at Eng-Tips was looking for a solution to the problem described below: The solutions to this problem described below can be downloaded from: ItSolve.zip and xlScipy3.zip The ItSolve.xlsb spreadsheet contains a user defined function (UDF) to solve iterative … Continue reading

Posted in Arrays, Charts, Excel, Link to Python, Maths, Newton, NumPy and SciPy, UDFs, VBA, xlwings
Tagged Brents method, Excel, Python, SciPy, UDFs, VBA, xlwings, xlwSciPy3
2 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
4 Comments