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# 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
Tagged array entry, Array function entry, ConBeamU, continuous beam, defined support deflections, deflections, Excel, Macaulay's Method, UDF, 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
Tagged cracked, Curvature, deflections, Reinforced Concrete, tension stiffening
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
Tagged bending moments, continuous beam analysis, Cubic spline, deflections, Excel, shear forces, UDF, 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

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

## 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

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
9 Comments