The Roof of the Taq-i-Kisra

Roof ot the Taq-i-Kisra

A higher resolution image, from a slightly different viewpoint

The roof of the Persian Throne Room of the Taq-i-Kisra, now in Iraq, is the best surviving example of an ancient large span structure built to a catenary profile, the shape that will minimise bending moments in a structure of uniform thickness, standing under its own weight.

The red line added to the photograph is a catenary, and the blue line a parabola with the same span at first floor level. The plot suggests that the roof shape from first floor level does indeed approximate a catenary, although the low resolution photograph and irregular outline of the end face of the structure make it difficult to be certain.

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7 Responses to The Roof of the Taq-i-Kisra

  1. Looks like a cantenary on the inside and a parabola on the outter surface. Looks a bit like a bit of thickening in the structure at the base of the arch

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  2. Pingback: Elegant proofs 4 – The optimum shape of an arch « Newton Excel Bach, not (just) an Excel Blog

  3. Fisher says:

    Hey
    You’re not likely to check this anytime soon, but if you do, could you please email me the link of the second picture untouched, or it itself
    its for a school add maths project

    Like

  4. dougaj4 says:

    Hi Fisher

    This is the link I used:

    Hope your project goes well.

    If you are working on arches you might be interested in this post as well:

    http://newtonexcelbach.wordpress.com/2009/06/16/elegant-proofs-4-the-optimum-shape-of-an-arch/

    Like

  5. Fisher says:

    Thanks a lot, it’ll help a lot

    Like

  6. Sam says:

    Hey,

    Just a minor correction, Taq-i-Kisra is in Iraq not Iran although it was named after a Persian emperor.

    http://en.wikipedia.org/wiki/Taq-i_Kisra

    Like

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