# Tag Archives: deflections

## ConbeamU Update; defined support deflections

As promised in a recent post, I have updated the ConBeamU spreadsheet to allow defined deflections to be specified at any support. The new spreadsheet (including full open-source code), can be downloaded from ConBeamU.zip In addition to the support deflections the … Continue reading

Posted in Arrays, Beam Bending, Excel, Frame Analysis, Newton, UDFs, VBA | | 12 Comments

## Reinforced Concrete Moment-Curvature – 1

The flexural curvature of any beam composed of material with linear elastic behaviour, subject to a bending moment, M, is given by: C = M / EI where E is the elastic modulus of the beam, and I is its … Continue reading

Posted in Beam Bending, Concrete, Excel, Newton, UDFs, VBA | | 5 Comments

## 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 | | 3 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

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## Continuous beam analysis with cubic splines

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