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The use of dynamic relaxation to solve the differential equation describing the shape of the tallest possible building

D Naicu ; Chris Williams (Institutionen för arkitektur)
In: VII International Conference on Textile Composites and Inflatable Structures (2015)
[Konferensbidrag, refereegranskat]

The problem of finding the tallest possible column that can be constructed from a given volume of material without buckling under its own weight was finally solved by Keller and Niordson in 1966. The cross-sectional size of the column reduces with height so that there is less weight near the top and more bending stiffness near the base. Their theory can also be applied to tall buildings if the weight is adjusted to include floors, live load, cladding and finishes. In this paper we simplify the Keller and Niordson derivation and extend the theory to materials with non-linear elasticity, effectively limiting the stress in the vertical structure of the building. The result is one highly non-linear ordinary differential equation which we solve using dynamic relaxation.



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Denna post skapades 2017-01-18.
CPL Pubid: 247349

 

Institutioner (Chalmers)

Institutionen för arkitektur (2005-2017)

Ämnesområden

Building Futures
Geometri
Arkitekturteknik

Chalmers infrastruktur