Beams with uniform strength subjected only to bending have the same maximum flexural stress at any cross section. Blasius, 1914, Gaede, 1937, and Opatowski, 1945, have included weight of the beam in establishing relations and giving solutions to particular cases. Additional results are provided here.
Proceedings of the Iowa Academy of Science
©1955 Iowa Academy of Science, Inc.
Li, J. P. and Gross, W. A.
"Beams of Uniform Strength Subjected to Uniformly Distributed Load,"
Proceedings of the Iowa Academy of Science, 62(1), 380-383.
Available at: https://scholarworks.uni.edu/pias/vol62/iss1/41