Dimensional Analysis can Improve Equations of the Model

Abstract

In the past dimensional analysis was applied mostly to experimental research. Now, application of the analysis to model equations has become more important. Equations reformulated with the use of dimensional analysis are usually more clear and easier to handle computationally.First, the article demonstrates the principles of dimensional analysis on the problem of the second moment of area for a rectangle. The transformation of equations to unit-independent form is discussed on the example of concrete constitutive equations. The equation that relates tensile and compressive strength of concrete is also analysed. Analysis of the equation obtained from experiments is demonstrated on the example of anchors.Limitations of possibilities to formulate equations in units independent form are shown on the example of fracture.