Structural Cross Sections

Figure Ex. 6.11 The stress–strain curve generated using the Li et al. (2000) model.

${\epsilon }_{\mathrm{co}}<{\epsilon }_{\mathrm{c}}<{\epsilon }_{\mathrm{cc}}$

$f_{\mathrm{c}}=f_{\mathrm{cc}}^{\prime }-\frac{\left(f_{\mathrm{cc}}^{\prime }-f_{\mathrm{c}}^{\prime }\right)}{{\left({\epsilon }_{\mathrm{cc}}-{\epsilon }_{\mathrm{co}}\right)}^2}{\left({\epsilon }_{\mathrm{c}}-{\epsilon }_{\mathrm{cc}}\right)}^2$

$f_{\mathrm{c}}=60.072-\frac{\left(60.072-40\right)}{{\left(0.00648-0.002\right)}^2}{\left({\epsilon }_{\mathrm{c}}-0.00648\right)}^2$

${\epsilon }_{\mathrm{c}}>{\epsilon }_{\mathrm{cc}}$

$f_{\mathrm{c}}=f_{\mathrm{cc}}^{\prime }-\beta \frac{f_{\mathrm{cc}}^{\prime }}{{\epsilon }_{\mathrm{cc}}}\left({\epsilon }_{\mathrm{c}}-{\epsilon }_{\mathrm{cc}}\right)$

$\beta =\left(0.048f_{\mathrm{c}}^{\prime }-2.14\right)-(0.\mathrm{098\; ...}$