RI 7846 Effect of Specimen Volume on Apparent Tensile Strength of Three Igneous Rocks

A Bureau of Mines investigation was conducted to determine the effect of specimen volume on the apparent tensile strength of disks of St. Cloud Gray Granodiorite, Lithonia granite, and Rockville granite. The investigation used a technique developed by the Bureau to determine apparent tensile strength. Because the test specimens were selected without macroscopic defects, that is, cracks, joints, and planes of weakness, the strength variations are solely due to microscopic features. Several replications of each test were performed. Data for each set of specimens were fitted to a power law of the form y = axb, where y = apparent tensile strength, x = specimen volume, and a and b are constants. This power law is essentially a form of Weibull's theory. The average coefficients of correlation for St. Cloud Gray Granodiorite, Lithonia granite, and Rockville granite were 0.85, 0.53, and 0.78, respecitvely. In all cases a decrease in strength with increasing volume was noted; in the extreme case, a decrease of 40 pct was noted with an elevenfold increase in volume. The decrease in strength with increasing specimen volume is explained in terms of Weibull's theory.