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Category Archives: Maths
Evaluating Polynomial Functions
A polynomial function is a function of the form: a + b*x + c*x^2 + d*x^3 … and the derivative (the slope of the line at point x) of this function is given by: b + 2c*x + 3d*x^2 … … Continue reading
Continuous beam with varying stiffness
Previous Splinebeam post One of my aims in developing the splinebeam function is to carry out non-linear analysis of reinforced concrete beams, allowing for the greatly reduced flexural stiffness of reinforced concrete sections after cracking of the concrete. To that … Continue reading
Posted in Arrays, Beam Bending, Excel, Finite Element Analysis, Maths, Newton, UDFs, VBA
Tagged bending moments, continuous beam analysis, Cubic spline, deflections, Excel, shear forces, UDF, VBA
3 Comments
Finding Circle Centres in 3D
In 2 new functions for IP.xls I described two Excel User Defined Functions (UDFs) to find the radius and centre of a circle defined by 3D coordinates for either 3 points on the circumference, or for two tangent points and the … Continue reading
Posted in Coordinate Geometry, Excel, Maths, Newton, UDFs, VBA
Tagged 3D coordinates, Center, Circle Centre, direction cosines, Excel, IP2.xls, Radius, UDF, VBA
5 Comments
Continuous beam with specified end conditions …
… and/or support displacements. The previous post in this series derived cubic splines with specified end conditions; either a specified curvature or a specified end slope. I have adapted the splinebeam function to allow input of specified end conditions (either a … Continue reading
Posted in Arrays, Beam Bending, Excel, Finite Element Analysis, Frame Analysis, Maths, Newton, UDFs, VBA
Tagged bending moments, continuous beam analysis, Cubic spline, deflections, Excel, shear forces, UDF, VBA
1 Comment
Using Goal Seek on Multiple Cells
The Excel “goal seek” function is useful and powerful, but the procedure for using it on multiple cells is painfully slow. The spreadsheet GSeek.xls provides a simple macro to allow Goal Seek to be automatically applied to a range of … Continue reading