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Re: Single degree of freedom modeling in Staad

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Hi ,

There are few considerations you need to follow .

(1) The Mass Modelling : The portal frame is assigned with Self-Weight X 1 , Self-Weight Y 1 and Self-Weight Z 1  .

This will instruct Staad to lump mass on all the joints from the nearby member selfweight   which means it is not behaving as a SINGLE DEGREE OF FREEDOM (SDOF) system .

You could check this if you go to the same folder and open mass.txt file . This file will reports the lumped  mass at each joint .

(2) Selecting right equivalent stick model : You need manually apply the total selfweight of the structure while mass modelling to a single joint where the translational displacement resistance at that joint along the first mode shape is same as the displacement resistance in case of  your SDOF system . This will ensure that the concentrated mass will experience the same degree of stiffness in both the cases along the same  shape of oscillation .

I have created equivalent the stick model (SDOF) by selecting a section so that its tip joint lateral displaces the same magnitude as that of the portal frame node under unit lateral load to ascertain if I have same degree of stiffness for that shape function .

Attached are  the equivalent stick model and the modified Portal Frame whose fundamental  NF is same as that of the Portal Frame


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