[SEFI] Zero point accelaration and missing mass correction

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SUKANTA.ADHIKARI

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May 5, 2008, 1:17:38 AM5/5/08
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Dear Sefians,

Can someone explain how to corelate Zero point accelaration and missing mass correction and please explain zero point accelaration in elaborately.I know that the time period in case of zero point accelaration is zero but practically 0.03 sec.But I want to know the significance

Regards,
S.Adhikari




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scpatel_74

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May 5, 2008, 3:17:41 AM5/5/08
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Hi..

ZPA is called as 'Zero period accln.' Practically it is
accln. corresponding to 33Hz frequency (i.e. T= 0.03 s) on response spectrum curve.

ZPA is equal to the peak ground acceleration observed at a given site or as suggested by codes for a given region. When a structure is almost rigid, the response of the structure do not change to ground accln. and its response is equal to given input motion. So peak accln. of groud motion time history becomes the peak accln. anywhere in the rigid structure (i.e. ZPA=PGA for rigid structure).

ZPA has no direct relation with missing mass. Missing mass is the
summation of fraction of masses not excited for every DOF, upto modes considered in dynamic analysis.

Say if we have considered 10 modes for dynamic analysis. If cummulative mass participated is 85%, the remaining 15% of total mass is called as "Missing Mass'.Response of structure for above 10 mode is incomplete without response due to missing masses. Hence we need to give Missing mass correction. Internally software find out missing mass vector (missing mass for every DOF). Multiplying it with Response spectrum accln (Sa/g) for time period corresponding to last mode gives the force vector. The response of structure to this force vector is the contribution of missing mass. This is suitably added to response due to ten modes.
IS code requires that dynamic analysis should be carried out such that cummulative mass participation is atleast 90% of the total
mass.

For durther details, Book by A.K.Chopra or Clough & penzien is very good material.

I hope this clears the querry. Should need arise, i'll be happy to elaborate more...

Regards,

Sanjay Patel
E&D TICB, Mumbai
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SUKANTA.ADHIKARI

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May 5, 2008, 6:52:20 AM5/5/08
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Dear Sanjay Patel,

Thanks for your reply.I have raised this question because while doing response spectrum analysis in STAAD I came accross the same, the syntax is as follows,

STAAD SYNTAX

SPECTRUM CQC 1893 X 0.04 ACC SCALE 1 DAMP 0.05 LIN MIS ZPA 33


Can someone explain this.


Regards,
S.Adhikari




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nicee

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May 6, 2008, 6:16:27 AM5/6/08
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Dear Colleagues,

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of wide interest already published in reputed journals. Contents of the
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In case you are not already a subscriber to the periodical, you are
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towards seismic risk reduction.

With best regards,

Sudhir K Jain
Coordinator, NICEE




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SUKANTA.ADHIKARI

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May 9, 2008, 1:08:47 AM5/9/08
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Dear Mr Rahul Leslie,

I am not that much clear with your explanation on Zero point accelaration.Actually I was designing STG building for a small power plant in Zone V.I found that the masss participation in X direction is 90% in 13 th mode and the natural frequency of the structure at that mode is 2.77 hertz. Can you expalin clearly.

Regards,
S.Adhikari




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amritaban

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May 10, 2008, 2:59:17 AM5/10/08
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If your structure have brick infill panels then put structure type St=3. Then it will calculate as per 7.6.2 os IS1893-2002. If we consider structure type 1 or 2 then it will calculate by 7.6.1. You can try it.


Regards,

Amrita
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----- Original Message -----
From: rahul.leslie (fo...@sefindia.org)
To: gen...@sefindia.org (gen...@sefindia.org)
Sent: Friday, May 09, 2008 22:43
Subject: [SEFI] Re: Zero point accelaration and missing mass correction


If you are getting 90% mass participation, you have met the codal requirements. You may however consider including more modes, provided that the freq. of the highest mode considered is less than 33 Hz.

However, I've seen lots of opinion popping up in various discussion groups that response spectrum results you get from STAAD are incorrect (which is different from their view on seismic coefficient method of STAAD itself, which is popularly considered accurate).

Still, if you happen to get results in such a way that the provision of Cl.7.8.2, IS:1892-2002 has to be applied, then this problem of inaccuracy discussed widely should vanish. But that is only in case your structure is a framed one with masonry infills.

In that case, in place of 0.04, which is actually (ZI)/(2R), in the example

SPECTRUM CQC 1893 X 0.04 ACC SCALE 1 DAMP 0.05 LIN MIS ZPA 33
put in its place, (VB_bar/VB)*(ZI)/(2R), where (VB_bar/VB) is as per Cl.7.8.2, IS:1892-2002. One can find VB_bar and VB by STAAD itself. Do two analysis with the same model. One with Seismic Coefficient method and the other with Response Spectrum method. Find sum of horizontal support reactions for all supports for each analysis, and you get VB_bar and VB.

I would further suggest calculating time period by hand and entering it as a parameter in STAAD for Seismic Coefficient method, rather than allowing STAAD to calculate it by itself. There again, use formula from Cl.7.6.2, but as 0.09*h/root(d), since that ‘h’ is missing in print in IS:1893-2002

I was planning to bench mark the accuracy of Response Spectrum analysis in STAAD, but didn't find time and patience to do it. Had I done that, I could have given suggestions.









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