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Tutorial

Name:

Locate center of mass

Description:

Procedure for locating the center of mass for a structural system.

Program:

SAP2000

Version:

12+

Model ID:

na

 

Center of mass, also known as center of gravity, may be located using the following process:

  • Create the structural model and run analysis.
  • Use "Display > Show Tables" command to export, into Excel, the following tables:
    • Model Definition > Connectivity Data > Joint Coordinates > Table: Joint Coordinates
    • Analysis Results > Joint Output > Joint Masses > Table: Assembled Joint Masses
  • In Excel, calculate the location of the center of mass (com) for each coordinate direction. Use a weighted average in which assembled joint mass is the weight. For example, the x-coordinate of center of mass (xcom) may be calculated as follows:


    where:

    • x = x coordinate of individual joints
    • m = mass of individual joints

See Also