What Can We Expect for ADG in a Building Like This?

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    Acceleration Gravity
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Discussion Overview

The discussion centers on the expected pattern of Acceleration Due to Gravity (ADG) inside a specific building structure, focusing on the effects of the building's own mass rather than external gravitational influences. Participants explore various hypotheses regarding how ADG might vary throughout the building's height, considering its dimensions and estimated weight.

Discussion Character

  • Exploratory
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant proposes that ADG could be positive at the top of the building, zero or almost zero at the center floors, and negative at the ground floor.
  • Another possibility suggested is that ADG might remain almost stable throughout the building from top to bottom.
  • A third viewpoint considers that ADG could decrease continuously from the top to the bottom of the building.
  • One participant introduces a symmetry argument using a "spherical cow in vacuum" analogy to support their reasoning about the building's gravity.
  • There is a suggestion that the first option regarding ADG might be the correct interpretation, but this is met with skepticism from others.
  • Some participants express uncertainty about the correctness of the proposed answers, indicating that not everyone agrees with the interpretations presented.

Areas of Agreement / Disagreement

Participants do not reach a consensus, as there are multiple competing views regarding how ADG behaves within the building. Some support the idea of varying ADG, while others challenge the interpretations and express doubts about the conclusions drawn.

Contextual Notes

The discussion involves assumptions about the building's mass distribution and the effects of gravity, which may not be fully resolved. The mathematical implications of the proposed models are also not clearly established.

Who May Find This Useful

This discussion may be of interest to those studying gravitational effects in structural engineering, physics, or related fields, particularly in contexts involving large structures and their gravitational interactions.

Bjarne
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Which pattern of Acceleration Due to Gravity (ADG) (approximately) shall we expect to measure inside a building like "www.katrine-lester.dk/wp-content/Domus_vista_4-Small.jpg"[/URL]
Notice the values I am asking for is primary the values caused by the buildings own gravity, not the one due to the free air gradient.

[B]Data[/B]
[LIST]
[*]Height 100 Meter
[*]Lenght 70 Meter
[*]Width 20 Meter
[*]Weiht (estimated) 40.000.000 KG
[*]30 floors
[/LIST]
-------------------------------------------------------------------------------------------------------------------------------
[B]1[/B]
[B]Would the ADG caused by the building itself be:[/B]
[LIST]
[*]Positive at the top for (for example + 0.100 Micro Gal)
[*]Zero, or almost zero at the Centre (14 th or 15 th and 16 th floor)
[*]Negative at the ground floor (for example minus 0.100 Micro Gal)
[/LIST]
-------------------------------------------------------------------------------------------------------------------------------
[B]2[/B]
Or shall we expect ADG [B]due to the buildings own gravity [/B]to be almost stable the whole way from the top to the bottom?
(for example + 0.100 Micro Gal)
-------------------------------------------------------------------------------------------------------------------------------
[B]3[/B]
Or shall we expect ADG [B]due to the buildings own gravity [/B] to decrease the whole way from the top to the bottom?
-------------------------------------------------------------------------------------------------------------------------------
[B]4[/B]
Or what shall we expect?
 
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Consider a spherical cow in vacuum, its gravity would be close enough to that of the building. Use symmetry arguments.
 
Ich said:
Consider a spherical cow in vacuum, its gravity would be close enough to that of the building. Use symmetry arguments.

Shall I understand this as you think option 1 is the answer ?
 
Up to signs, yes.
 
Ich said:
Up to signs, yes.

I hope not everybody agrees, because this seems to be wrong.
 

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