189.

Name.Span.Rise.Width.Rad. of Arch.Scantling of Arch.
Bamberg,20816.93242213½ × 15½
Scharding,19418.82525812½ × 15½
Vilshoven,17911.12737813½ × 15½
Freysingin,15311.62524612½ × 14½
Ettringin,1398.02530512½ × 15½
Ersingin,1267.02528511½ × 14½
Augsberg,11410.625½15812½ × 14½
Neucettringin,1036.82520013½ × 15½

The last column shows the scantling of the arch timbers; these being placed three deep, in spans of less than 150 feet; and in larger spans, 3 deep at centre, and 5 deep at ends. Mr. Weibeking’s formula for determining the scantling of ribs, is as follows:—

W × (S/2)2
Rn.0011 = Scantling in sq. ft.

Where R is the rise of the arch;

n, the number of ribs;

W, width of bridge;

and S, span of bridge.

Example.—Required the scantling of the ribs of a bridge of 300 feet span, 20 feet wide, and 30 feet high. The formula becomes,—

20 × 22500
30 × .0011 = 16½ sq. feet of