In the article Influence of Crack Width on Shear Behaviour of SIFCON (C. Fritz and H
Chapter 3, Problem 12(choose chapter or problem)
In the article "Influence of Crack Width on Shear Behaviour of SIFCON" (C. Fritz and H. Reinhardt, High Performance Fiber Reinforced Cement Composites: Proceedings of the International RILEM/ACI Workshop, 1992), the maximum shear stress \(\tau\) of a cracked concrete member is given to be \(\tau=\tau_{0}(1-k w)\), where \(\tau_{0}\) is the maximum shear stress for a crack width of zero, is the crack width in \(m m\), and is a constant estimated from experimental data. Assume \(k=0.29 \pm 0.05 \mathrm{~mm}^{-1}\). Given that \(\tau_{0}=50 M P a \text { and } w=1.0 \mathrm{~mm}\), both with negligible uncertainty, estimate \(\tau\) and find the uncertainty in the estimate.
Equation Transcription:
Text Transcription:
\tau
\tau=\tau_{0}(1-k w)
\tau_{0}
m m
k=0.29 \pm 0.05 mm^{-1}
\tau_{0}=50 M P a and w=1.0 mm
\tau
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