This section is from the book "The English And American Mechanic", by B. Frank Van Cleve. Also available from Amazon: The English And American Mechanic.
When A CYLINDER, RECTANGLE (THE DIAGONAL being vertical,) hollow cylinder, or beams having SEC-tionS of an ellipse, are either fixed at one End and Loaded at the Other, or Supported at both Ends, the Load applied in the Middle, or Between the supports.
Proceed in all cases as if for a rectangular beam, taking for the breadth and depth, and value of the material, as follows:
Cylinder, diameter* X.6; Rectangle, • side³ X.7; Hollow Cylinder (dlam.² - dlam.³) x.6; Ellipse, transverse diam. veitlcal conj. X transverse², x.6; and Ellipse, conj. diam. vert, transverse X conj.² X.6 of value.
 
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