Column Euler method example

In this example, assume that the force that causes buckling is a reaction in the X-direction, the cross-sectional area is 50 mm2, the length of the column is 400 mm, Young's modulus is 204,000 MPa, the second moment of the cross-sectional area is 100 mm4, and both ends of the column are pinned.

Note:

This example assumes that you created load case sets. It begins with the Calculation Creation dialog box open and Column Euler selected as the method.

1. On the Inputs tab, in the Area (A) box, type 50.

2. In the Length (L) box, type 400.

3. In the Young's Modulus (E) box, type 204000.

4. In the Bending Inertia (I) box, type 100.

5. In the End Fixity Coefficient (C) box, type 1.Because a column can buckle in more than one plane, make sure that the values for the second moment of the area and the end fixity correspond to the plane where the critical load is minimized.

6. Click Load Extraction .

7. In the Load Extraction dialog box, do the following:From the Result Type list, select Reaction Force - Nodal.From the Component list, select X.From the Combine At list, select None.Because the result type is nodal, a single value exists at each node.

8. In the Selection group, do the following:From the Type list, select Node.In the graphics window, pick the node that corresponds to the reaction.Because the method is Euler column buckling, the reaction must be a negative value for the software to calculate the margin of safety.Click Confirm source edit .The source appears in the Sources table.

9. In the Operations group, do the following:From the Filtering list, select None.From the Absolute Values list, select No.From the Aggregation list, select Maximum.In the Conversion (Force to Stress - divide by) box, type 50.For this case, the software divides the force result by the value you enter in the Conversion (Force to Stress - divide by) box to obtain a stress result for the margin of safety calculation.In the Factor box, type 1.Note: Because you are using a method where the dimensions and units for the various inputs into the margin of safety calculation are known to the software, it is not necessary for you to correct for any incompatibilities.

10. Click OK (both dialog boxes).

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Column Euler method example, Simcenter 3D 2021.1 Series

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