View previous topic::View next topic |
Author |
Message |
aswinpe SEFI Regulars


Joined: 26 Jan 2003 Posts: 28
|
Posted: Sun Nov 09, 2003 10:37 pmPost subject: Seismic Wt. of Floors |
 |
|
没有进入复杂的问题这是一个年代imple explanation: In a simply supported beam, 1/2 of the weight goes to each support at the ends. Now imagine the wall to be that beam in a vertical position and supports at each floor. 1/2 wt goes to top floor and 1/2 to bottom.
Aswin Rangaswamy
Posted via Email |
|
Back to top |
|
 |
hsnagle SEFI Member

Joined: 26 Jan 2003 Posts: 7
|
Posted: Mon Nov 10, 2003 5:15 amPost subject: Seismic Wt. of Floors |
 |
|
mr. upadhyay. for gravity loads what you said is right but for horinatal load, it is a lumped mass which is acting horizontlay, transfer of load is as suggested by code. The point will be more clear if you compare this analogically with wind load.
h.s.nagle(diensh)
Posted via Email |
|
Back to top |
|
 |
prof.arc ...


Joined: 26 Jan 2003 Posts: 703
|
Posted: Mon Nov 10, 2003 12:29 pmPost subject: Seismic Wt. of Floors |
 |
|
Dear Mr. Upadhyay Your inference is based on "the reactive force" coming on the bottom floor for static analysis.
However, it can be proved by energy methods, that in the case of cantilever, with a uniformly distributed mass Md and a concentrated mass Mc at the free end, the equivalent mass at the free end would be Mc+f*Md [considering as an equivalent single degree of freedom system). f= 0.33 if Md <f=0.50 if Md >> Mc
Read Chapter 2 of the book by Jacobsen & Ayre on Vibrations for an excellant treatment.
For dynamic analysis of buildings in which masses are lumped at nodes, the method suggested of 50% distribution to top and bottom mass is more correct.
Interestingly, even in Static Analysis, the equivalent loads at the nodes of a eight noded 2D FEM element would indicate W/3 at midside nodes and negative W/12 at corner ends !!
Sincerely ARC
Posted via Email |
|
Back to top |
|
 |
prof.arc ...


Joined: 26 Jan 2003 Posts: 703
|
Posted: Mon Nov 10, 2003 12:29 pmPost subject: Seismic Wt. of Floors |
 |
|
Dear Mr. Upadhyay Your inference is based on "the reactive force" coming on the bottom floor for static analysis.
However, it can be proved by energy methods, that in the case of cantilever, with a uniformly distributed mass Md and a concentrated mass Mc at the free end, the equivalent mass at the free end would be Mc+f*Md [considering as an equivalent single degree of freedom system). f= 0.33 if Md <f=0.50 if Md >> Mc
Read Chapter 2 of the book by Jacobsen & Ayre on Vibrations for an excellant treatment.
For dynamic analysis of buildings in which masses are lumped at nodes, the method suggested of 50% distribution to top and bottom mass is more correct.
Interestingly, even in Static Analysis, the equivalent loads at the nodes of a eight noded 2D FEM element would indicate W/3 at midside nodes and negative W/12 at corner ends !!
Sincerely ARC
Posted via Email |
|
Back to top |
|
 |
|