Category Archives: Beam Bending

More on cubic splines

Posted on 12/07/2009 by dougaj4

Link to Cubic Spline Update The previous two posts used cubic splines with the “natural” end condition, that is with an end curvature of zero.  To apply the cubic spline to analysis of continuous beams with different end conditions we … Continue reading →

Posted in Beam Bending, Excel, Frame Analysis, Maths, Newton, UDFs, VBA | Tagged , , , , | 10 Comments

Continuous beam analysis with cubic splines

Posted on 05/07/2009 by dougaj4

The last example in the previous post illustrated the use of cubic splines to find the bending moments in a continuous beam subject to prescribed lateral displacements.  A similar technique can be used to find bending moments, shear forces, reactions, … Continue reading →

Posted in Arrays, Beam Bending, Excel, Finite Element Analysis, Frame Analysis, Maths, Newton, UDFs, VBA | Tagged , , , , , , , | 9 Comments

Cubic Splines

Posted on 02/07/2009 by dougaj4

Cubic splines are used to fit a smooth curve to a series of points with a piecewise series of cubic polynomial curves.  In addition to their use in interpolation, they are of particular interest to engineers because the spline is … Continue reading →

Posted in Beam Bending, Excel, Newton, UDFs, VBA | Tagged , , , , | 73 Comments

Frame Analysis with Excel – 4, 2D frame analysis

Posted on 15/02/2009 by dougaj4

Continuing from: Frame Analysis with Excel – 3, Continuous beam or frame Download Frame1.zip – the download file includes complete open source code. The continuous beam spreadsheet presented in the previous post has been modified to deal with 2D frames where any … Continue reading →

Posted in Beam Bending, Excel, Frame Analysis, Newton, Uncategorized, VBA | Tagged , , , | 20 Comments

Reinforced Concrete Section Analysis 7 – rectangular sections

Posted on 05/11/2008 by dougaj4

Previous post The spreadsheets presented in earlier posts in this series have been simplified for use with rectangular sections with two layers of reinforcement.  The functions EStress (for elastic analysis of stresses, strains and crack widths) and UMom (for the … Continue reading →

Posted in Beam Bending, Concrete, Newton, UDFs | Tagged , , , , , | 3 Comments