Abstract
Size and shape effect in pillars is approached theoretically using energy considerations. Size effect is quantitatively expressed by a relation between load at failure (P) and cross sectional area (A): P∞A n , where n expresses size effect and has a theoretical range of 0.75 to 1.00. Size effect as expressed by empirical pillar strength formula is found to correspond to the above limits. Energy considerations are also found to provide a partial explanation for shape effect. Empirical pillar strength formula point at a definite relationship between size effect and shape effect. This relationship is explained by theoretical considerations linking both size and shape effect to fundamental material properties of the rock.
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