Any CATIA designer worth one's salt knows how to use Measure Item

and Measure Between tools to make measurements. What is less known is that you can do the same using parameters and formulas, and this is what I will explain in this post.

The Engineering Knowledge Language (EKL) used in CATIA’s formulas has a rich set of measurement functions, located in the **Measure** and the **Part Measures** sections of the formula editor’s **Dictionary**, as shown below. For example, there is a ** distance** function that lets you measure distance between any two objects, a

**function for measuring length of a curve, an**

*length***function for measuring area of a surface or a closed curve, etc.**

*area*Although the function signatures as shown in the **Members of** list may initially seem cryptic, they all follow the same convention that is easy to learn. For example, consider this function:

**length (Curve, …): Length**

The first word (**length**) is the name of the function. In the parentheses, you find the function’s input parameters. In this example, it says **Curve**, which means the function requires a curve as the input parameter. The “three dots” ellipsis symbol (**…**) means that the function can take *any* number of input parameters, i.e. that it could be used to measure the total length of several curves at once. Lastly, after the colon symbol you find the type of the value that the function returns. In this example, it says **Length**, which means that the function returns a value in length units.

You can look up the detailed descriptions for the functions in the CATIA’s Help system, in the **Product Synthesis > Knowledge Advisor > Engineering Knowledge Language** section.

Now let’s consider a couple of examples. In the first example, I will use a formula to measure the length of the spline shown below.

First, we create a user parameter that will hold the value of the measurement. In the Knowledge toolbar, select the Formula icon. In the **New Parameter of type** pull-down lists, select **Length** and **Single Value**, then click the **New Parameter of type** button.

Rename the created parameter from **Length.1** to a meaningful name, such as **SplineLength**. To assign the measure value to the parameter, click the **Add Formula** button to open the Formula Editor dialog box.

In the **Formula Editor** dialog box, select the **Measures** section in the **Dictionary** list and double-click the **length(Curve,…):Length** function in the **Members of** list, so it populates the right-hand side in the formula. Note that the space between the parentheses is empty, which means we still need to select an input parameter to pass into the function.

To complete the formula, double-click in the tree the curve you want to measure, so it populates the space between the parentheses in the **length** function, as shown below.

Click **OK** twice to close the Formula Editor and the Formulas dialog boxes. The measurement and the formula are displayed in the tree as shown below.

In the second example, I will use a formula to measure the mass of the part shown below.

Similarly to the previous example, we start by creating a new parameter, now of type **Mass**. I will name it **TotalMass**. Then I click the **Add Formula** button to open the Formula Editor.

In the **Formula Editor** dialog box, select the **Part****Measures** section in the **Dictionary**, double-click the **smartVolume(elem:Solid,…):Volume** function in the **Members of** list, and double-click the PartBody in the tree to use it as the input parameter for the function.

Since mass is volume times the density of the material, we now need to add the material density to the formula. Add the multiplication operator “star” (*****), click the material object in the tree, and double click the material density parameter in the **Members of** list. The completed formula looks as shown below.

Click **OK** twice to close the Formula Editor and the Formulas dialog boxes. The parameter and the formula are now displayed in the tree.

The use of parameters and formulas in CATIA is covered in the following Rand 3D classes:

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