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btgprasad ...


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sarfaraj.husain ...

Joined: 26 Jan 2003 Posts: 90
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Posted: Tue Nov 27, 2012 7:21 amPost subject: Time period-Tall Building Design |
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in continuation to my trailing mail..........
for h >300m "T" goes on increasing..... (in general)
..........how to caliberate such flexibility with " Sa/g" for analysis & design.....
sarfraj
dear all
consider a tall building of height h =300m
time pd. T =0.075*300^0.75 =5.4 secs
how to get Sa/g ..........as per 1893-2002 all formula valid for T<= 4.00 secs...
if it is correct ...please clear my doubt...
sarfraj
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gautam chattopadhyay ...


Joined: 17 Feb 2009 Posts: 129
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Posted: Wed Nov 28, 2012 2:41 amPost subject: Time period-Tall Building Design |
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Sarfraz, first of all the formula you are using in computing fundamental time period is very empirical. A building 300 m high must have 75 to 100 floors suggesting as many lumped masses as the number of floors and number of springs = number of floors. Hence the dynamic stiffness matrix and the mass matrix will be of order 75 x 75 to 100 x 100. Since natural frequency is the eigen value of the dynamic matrix ([K]/[M]), 75 to 100 eigen values will appear off the characteristic equation of the dynamic matrix. I feel now you can follow that predicting natural frequency and hence the time period is not an easy task. Time period is given by 2*(pie)/n where n is natural frequency (eigen value) computed from above. I feel it is dangerous to impose such empirical formula on tall buldings which should be analysed as a MDOF system as I described above.
On Tue, Nov 27, 2012 at 4:39 PM, sarfaraj.husain forum@www.buonovino.com)> wrote:
Quote: |
dear all
consider a tall building of height h =300m
time pd. T =0.075*300^0.75 =5.4 secs
how to get Sa/g ..........as per 1893-2002 all formula valid for T<= 4.00 secs...
if it is correct ...please clear my doubt...
sarfraj
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sarfaraj.husain ...

Joined: 26 Jan 2003 Posts: 90
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Posted: Wed Nov 28, 2012 4:46 amPost subject: Time period-Tall Building Design |
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Mr. Gautam
i 100% agree with your post that "T" is a function of mass & stiffness........and it can be carried out only by any software like staad etc ...( for > 3x3)......
the term eigen value,stiffness, MDOF are related to structural dynamics & are correct way to get "T".....
但是T = 0.075 h ^ 0.75刚度(独立)说our1893......point is how can we follow this for tall structures.......refer clause 7.8.2 to scale up the responses as against T ( T = 0.075h^0.75 as per 7.6).... is there any convergence for this......
sarfraj...
From: "gautam chattopadhyay" To:econf34289@www.buonovino.com, Date: 11/28/12 08:44 AM Subject: [E-CONF] Re: Time period-Tall Building Design
Sarfraz, first of all the formula you are using in computing fundamental time period is very empirical. A building 300 m high must have 75 to 100 floors suggesting as many lumped masses as the number of floors and number of springs = number of floors. Hence the dynamic stiffness matrix and the mass matrix will be of order 75 x 75 to 100 x 100. Since natural frequency is the eigen value of the dynamic matrix ([K]/[M]), 75 to 100 eigen values will appear off the characteristic equation of the dynamic matrix. I feel now you can follow that predicting natural frequency and hence the time period is not an easy task. Time period is given by 2*(pie)/n where n is natural frequency (eigen value) computed from above. I feel it is dangerous to impose such empirical formula on tall buldings which should be analysed as a MDOF system as I described above.
On Tue, Nov 27, 2012 at 4:39 PM, sarfaraj.husainforum@www.buonovino.com)> wrote:--auto removed--
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KABIRDASGUPTA SEFI Member

Joined: 24 Aug 2010 Posts: 2
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Posted: Wed Nov 28, 2012 5:26 amPost subject: Time period-Tall Building Design |
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Subject: [E-CONF] Re: Time period-Tall Building Design From:forum@www.buonovino.com Date: Tue, 27 Nov 2012 16:39:05 +0530 To:econf34289@www.buonovino.com
dear all
consider a tall building of height h =300m
time pd. T =0.075*300^0.75 =5.4 secs
how to get Sa/g ..........as per 1893-2002 all formula valid for T<= 4.00 secs...
if it is correct ...please clear my doubt...
sarfraj
Dear Mr Sarfraj,
All Values of Sa/g are same for T more than 4.0 sec.
Regards,
KABIR DASGUPTA
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swamikrishnan E-Conference Moderator

Joined: 28 Jul 2011 Posts: 18
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Posted: Wed Nov 28, 2012 11:30 pmPost subject: Re: Time period-Tall Building Design |
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To add to my earlier comment on long period ground motions, the response spectra for the Central Business District of Christchurch in the Feb 22, 2011, Christchurch earthquake are given in the following document:
http://www.ipenz.org.nz/christchurch-spectra.pdf
Note the conspicuous bump in the spectra between periods 2.75s and 3.75s; compare this against the NZS1170 design spectrum. The observed spectral acceleration at 3.25s period is about four times the design spectral acceleration for a 500-year event (Figure 3) and about twice the design spectral acceleration for a 2500-yr event (Figure 2).
显然,观察频谱不展览the smooth 1/T drop in the design spectrum. Similar long-period "bumps" can be seen in response spectra of near-source records such as the Rinaldi and Sylmar records observed in the 1994 Northridge earthquake.
Swaminathan Krishnan California Institute of Technology
krishnan at its.caltec... wrote: |
(ii) Dynamics: The more flexible longer period structures are more susceptible to long-period long-duration ground motion. Such ground motion is produced by large magnitude earthquakes (moderate earthquakes can also produce long-period pulse-like ground motion in the near-source region) and get amplified in deep sedimentary basins and/or soft soil deposits. Unfortunately, there are not enough number of records from such earthquakes collected in basins around the world. As a result, the global dataset on which all design spectra are based upon is deficient in long-period motion. Ground motion from relatively small magnitudes tend to have much less long-period content and the 1/T dropoff is reasonable for such conditions. The demands in the longer-period regime from these rare large events may be much greater than what the code spectra across the globe seem to suggest. The 1985 Mexico city earthquake demonstrated this; more recently, the Christchurch event reinforced this (although this was not a large event, the longer period ground motions were greatly amplified by the soft soils).As engineers we must decide, whether to protect our structures against such rare events or bet against the occurrence of such events during the lifetime of the building.
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Manoharbs_eq General Sponsor


Joined: 17 Jul 2012 Posts: 423
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Posted: Thu Nov 29, 2012 4:21 amPost subject: |
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Higher the time period lower the frequency, hence low frequency structures attract lesser seismic forces. beyond time period 4 there is no significant change in acceleration value, critical is low frequency structures whose time period is less than 0.6 or so.
we can follow the value for 4 for more than 4 since further there is no significant change.
however how is that structure of 300m high is bare frame?.
if the structure is with infill we can use 0.9h/sqrtd.
Rgds Manohar |
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