Category Archives: Beam Bending

Elegant solutions, Column buckling, and the hole through the middle of the Earth

Posted on 19/06/2010 by dougaj4

The previous post presented some examples of solution of differential equations using an iterative process, including the simple harmonic motion problem of a ball falling through an evacuated hole through the middle of the Earth.  The final example was concerned … Continue reading →

Posted in Beam Bending, Differential Equations, Newton | Tagged , , | 5 Comments

Using the AlgLib ODE (Runge-Kutta) Solver with Excel

Posted on 18/06/2010 by dougaj4

Or to be more correct, the AlgLib Cash-Karp Solver, Cash-Karp being a refinement of the Runge-Kutta method of solving ordinary differential equations. Solution of differential equations is an iterative process requiring the repeated application of the solver routine followed by evaluation of … Continue reading →

Posted in AlgLib, Beam Bending, Differential Equations, Excel, Maths, Newton, UDFs, VBA | Tagged , , , , , , , , | 8 Comments

Analysis of RC circular sections – theory and code

Posted on 25/04/2010 by dougaj4

The basic tasks involved in analysing the stresses and strains in a reinforced concrete section under combined bending and axial load are: Assuming a horizontal beam with the top of the beam in compression and the bottom in tension Find … Continue reading →

Posted in Beam Bending, Concrete, Excel, Newton, UDFs, VBA | Tagged , , , , , , | Leave a comment

Reinforced concrete elastic analysis; Circular section

Posted on 24/04/2010 by dougaj4

Previous posts have presented the theoretical background to finding stresses and strains in a reinforced concrete section built up of trapezoidal layers and subject to combined bending and axial loads.  A spreadsheet with User Defined Functions (UDFs) and open source code … Continue reading →

Posted in Beam Bending, Concrete, Excel, Newton, UDFs, VBA | Tagged , , , , , , | 10 Comments

Tension Stiffening

Posted on 12/03/2010 by dougaj4

Tension Stiffening in reinforced concrete is the increase in stiffness of a cracked member due to the development of tensile stresses in the concrete between the cracks.  The main application of tension stiffening theory in design applications is in the … Continue reading →

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