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ENT 272
Mathmatical Equations
History
Construction
Steel and Fabrication
Stabilizing Trusses
The St. Louis Arch
Mathmatical Equations

Y = A(cos(x/l)(C-1))

X = (L/C)(cosh^-1(1+Y/A))

Where, A = fc/((Qb/Qt)-1) = 68.7672

C = cosh^-1(Qb/Qt) = 3.0022

fc = Max. Ht. of Centriod = 625.0925

Qb = Max. X-Sec. @ Arch Base = 1262.6651

Qt = Min. X-Sec. @ Arch Top = 125.1406

L = Half of Centroid @ Arch Base = 299.2239



These are referenced equations researched by our group.