168. Mr. Hodgekinson gives, as the result of his experiments, the following formula for dimensioning the cast-iron girder above referred to.
W = 26ad
L,
Where W is the breaking weight in tons,
a the area of the bottom flange,
d the depth of the girder in inches,
L the length in inches.
As it is not considered safe to load a cast-iron beam with more than one sixth of the breaking load, the formula may be expressed as follows:—
W = 26ad
6L,
for the weight in tons which may be safely borne, and transforming
a = 6WL
26d