page_title: Weighted catenary
section_title: Significance
hierarchical_section_title: Weighted catenary / Significance
caption_attribution_description: Deutsch: St. Louis am Mississippi River mit dem Jefferson National Expansion Memorial bei Nacht. English: St. Louis on the Mississippi river by night. Jefferson National Expansion Memorial aka. Gateway Arch and Old Courthouse are visible. Español: La ciudad de San Luis de noche. El Arco Gateway y el viejo palacio de justicia son visible. Français&#160;: la ville de Saint-Louis vue de nuit. Le Jefferson National Expansion Memorial (Gateway Arch) et l'ancien tribunal sont visibles. Polski: St. Louis i rzeka Mississippi nocą. Widoczne Jefferson National Expansion Memorial i stary budynek sądu. Română: Oraşul St. Louis aflat pe cursul râului Mississippi, noaptea. Memorialul Jefferson National Expansion cunoscut şi ca Gateway Arch şi clădirea vechiului tribunal sunt de asemenea vizibile. Русский: Река Миссисипи и мемориал Врата Запада в Сент-Луисе ночью. This image was created with Hugin
context_page_description: A weighted catenary is a catenary curve, but of a special form. A "regular" catenary has the equation
  for a given value of a. A weighted catenary has the equation
  and now two constants enter: a and b.
context_section_description: A catenary arch has a uniform thickness. However, if
  the arch is not of uniform thickness,
  the arch supports more than its own weight,
  or if gravity varies,
  it becomes more complex. A weighted catenary is needed.
  The aspect ratio of a weighted catenary (or other curve) describes a rectangular frame containing the selected fragment of the curve theoretically continuing to the infinity.
caption: The St. Louis arch: thick at the bottom, thin at the top.
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