Challenge

Understanding the concepts on Degrees of Freedom

1. AIM: To compute Ln , Mn and Γn for each of the five modes from the given equations. 

  • To calculate the effective modal  ass Mn* and the modal mass participating ratio for the 5 modes.
  • To obtain the base shear for each of the 5 modes of vibration and the combined base shear as per SRSS rule.

PROCEDURE:

RESULT:

  • Ln , Mn and Γn for each of the five modes from the given equations is obtained.
  • The effective modal mass Mn* and the modal mass participating ratio for the 5 modes is obtained. 
  • The base shear for each of the 5 modes of vibration are obtained.
  • As per SRSS rule the combined base shear is obtained.
  • The two modes are to be considered such that a modal mass participating ratio of 90% is obtained.
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