In cast iron, it is well known that the bending strength
σb, obtained by the rupture moment and the section modulus, is almost twice the tensile strength
σt. In the previous paper, theauthors proposed a new theoretical formula,
σb=(2.0-
σt/100)×
σt (
σb,
σt : kg/mm
2) to relate
σb to
σt for a rectangular beam. But strictly speaking, such a bending strength defined by the section modulus varies according to the geometry of the cross section of the beam. In the present paper, the bending strength of a cast iron round bar was analyzed theoretically, taking into consideration the non-elastic stress-strain relationship of cast iron. The theoretical ratio of the bending strength of a round bar to that of a rectangular beam was calculated on the numerous stress-strain curves using an electronic computer. Calculated results showed that the bending strength of a round bar was 10% higher than that of a rectangular beam, independent of the strength and the profile of the stress-strain curve of the material. In effect, a new formula for the estimation of the bending strength,
σb = 1.1×(2.0-
σt/100)×
σt, was obtained for a round bar. The formula was recognized valid after comparing with the experimental values offered by fourteen perfectural industrial laboratories. The empirical formulas by Mackenzie and Auguss lay between the two formulas by the authors in the range of
σt>20kg/mm
2. It was also confirmed experimentally that the as-cast specimens had lower strength and wider scattering range than lathed specimens.
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