EFFECT OF SPAN LENGTH ON THE IN?PLANE TENSILE STRENGTH Of PAPERBOARD, TAPPICon22
The in‐plane tensile strength of paper typically shows a decrease as span length increases, a phenomena
attributed to the weakest link theory and quantifiable by the Peirce equation from 1926. In this work,
we measured the strength of four commercial paperboards over a range of span lengths and
demonstrate that the original Peirce equation shows a very good fit to the data. The Weibull approach
was also investigated and can provide a more accurate prediction for certain materials. The probability
distributions indicate a transition from ductile to brittle response over an increase in span length.
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