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Support CenterTutorialsStiffness analysis of a steel connection (AISC)
Stiffness analysis of a steel connection (AISC)
Connection designSteelTutorialsAISC (USA)Stiffness

Stiffness analysis of a steel connection (AISC)

This article is also available in
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Learn how to use software IDEA StatiCa to model, design and check a structural steel joint and calculate the stiffness of the connection.

1 New project

Start with launching the IDEA StatiCa Connection. Create a new project by selecting a starting template, fill the name and choose AISC 360-22 (LRFD) design code and default steel grade – A992. 

Select the "Create a blank design" button to generate the geometry only. 

Since you work under the AISC code, make sure to set the imperial units (see How to change the system of units). This includes the setting that the weld size represents the Leg size.

The example shown here is using the fraction system. You can change the unit type by clicking Units>Presentation units> Change the following three units to "Imperial"

Change unit system

2 Geometry

The model is a moment-end plate from AISC Design Guide 39: End-Plate Moment Connections. Example 5.3-3 Multiple-Row Extended 1/2 Unstiffened Thick End-Plate.

Start by defining the geometry. A column and a beam are added in the modeling area. 

Change the cross-section of member C to W14X99.

Next, modify the cross-section of members B to a built-up I section and input the following dimensions: 

Verify that the Force position in the members C and B is= Node

3 Load effects

Next, modify the Load effects. Turn off the loads in equilibrium and enter the force values into the beam table. More load cases can be added.

  • My= 400 k-ft
  • Vz=-45 kips

Change the position of the shear force to the node - select member B and change Forces in to Node.

4 Design

Next, to model a connection, add a new operation by clicking on the New operation icon>End plate:

Define the following inputs: 

End plate operation properties

Save the connection file, by clicking in the Save button in the top ribbon: 

Save button

Review the final design of the joint. Press Ctrl keyboard + mouse scroll wheel at the same time to rotate the 3D model and review the design

Transparent view of a moment end plate connection

5 Stress/strain analysis

To have a complete picture of the connection behavior, the stress/strain analysis is run first.

Select Calculate on the ribbon to run the analysis using the CBFEM method. The numerical model is automatically generated, the calculation is performed, and you can directly see the overall check results in the top-left corner of the scene. 

The overall check uses a traffic light system to indicate the utilization of the elements. 

Overall check of a moment end plate connection

More detailed results can be displayed under the Check tab: activate the Equivalent stress, Mesh and Deformed shape of the connection in the ribbon to get a full picture of what is happening in the joint. 

Moment end plate model deformation

6 Stiffness analysis

To keep the stress/strain results, copy this project item. A new item will be created in the file. 

In the copied connection, click on the Design tab>Connection name>Change the analysis type to Stiffness in the project item data.

Change analysis type of a connection model

Verify that beam B1 is set as an Analyzed member as shown below. (If you want switch Analyzed member, you can use the right mouse button and set another member as an Analyzed member).

The “Theoretical length for My, Mz” can be set for the analyzed member. For more information about the theoretical length, please see Theoretical background and Video – tips for stiffness analysis.

Analysed member in stiffness analysis

Start the stiffness analysis by clicking the Calculate button in the top ribbon. 

The analysis results and load path can be checked in detail in the Rotational stiffness tab. For a better understanding of the results, see the Theoretical Background.

A webinar explaining the results was held here.

In this case, the classification of the connection per AISC was calculated as partially restrained. 

Stiffness analysis results- moment-rotation diagram
  • In the results table, the name of the result is shown when the mouse is hovered over it
  • Right-click on the graph to get an Excel file with the results to generate a custom graph
  • Scroll up and down in the graph area to zoom in or out on the moment-rotation diagram
Definition of results in a stiffness analysis

Change the rotation and rotational stiffness results units if needed: 

Change results units for stiffness analysis

7 Modification of connection

The connection will be modified to get a Rigid connection classification. 

To keep the project CON2, copy it and create CON3.

Change the bolt diameter in EP1 to 1 inch A325: 

Change bolt diameter in end plate operation

Add a New operation> Select Rib and input the following parameters: 

Add a rib operation in a beam and end plate

Right-click on the Rib operation and copy it: 

Copy a manufacturing operation

Now modify the RIB2 operation and change: 

  • Cross-section parts to Bottom flange 1
  • Surface to Lower

Add a new operation and select Stiffener, input the following parameters: 

Add stiffener operation in a column

Now run stiffness analysis again by icon Calculate from the top ribbon. And you can notice the change in results from Partially restrained to Fully restrained: 

Fully restrained connection result

For more information on stiffness analysis, please check out our Theoretical background.

8 Report

At last, go to the Report tab. IDEA StatiCa offers a fully customizable report that can be printed or saved in an editable format.

Report generation

You have designed, code-checked, and calculated the stiffness of the connection according to AISC.

9 More information

Video – introduction to stiffness

Video – tips for stiffness analysis

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