Table 10 Equations of the prediction models.

From: Durability and environmental evaluation of rice husk ash sustainable concrete containing carbon nanotubes

Model

Equation

Ref.

ACI 209

\({\varepsilon}_{sh\left(t\right)}=\frac{t}{t+35}{\varepsilon}_{shu}\)

\({\varepsilon}_{shu}=780\times{10}^{-6}\times{r}_{sh}\)

116

CEB-FIP

\({\varepsilon}_{sh\left(t\right)}={\varepsilon}_{shu}\beta\left(h\right)\beta\left(t\right)\)

117

B3

\({\varepsilon}_{sh\left(t\right)}=-{\varepsilon}_{shu}{k}_{h}S\left(t\right)\)

\({\varepsilon}_{shu}=-{a}_{1}\times{a}_{2}\times\left[0.019\times{w}^{2.1}\times{\left({f}_{c}\right)}^{-0.28}+270\right]\times{10}^{-6}\)

118

GL2000

\({\varepsilon}_{sh\left(t\right)}={\varepsilon}_{shu}(1-1.18{h}^{4})\sqrt{\frac{(t-{t}_{o})}{t-{t}_{0}+0.15{\left(\frac{v}{s}\right)}^{2}}}\)

\({\varepsilon}_{shu}=900\times k{\times{\left(\frac{30}{{f}_{c}}\right)}^{\frac{1}{2}}\times10}^{-6}\)

119

Sakata

\({\varepsilon}_{sh\left(t\right)}=\frac{{\varepsilon}_{shu}t}{\beta+t}\)

\({\varepsilon}_{shu}=\frac{k\left(1-h\right)w}{\left[1+150exp\left(-\frac{500}{{f}_{c}}\right)\right]\left(1+\eta\times{t}_{0}\right)}\)

120

  1. where t is drying time (d), to is the start drying age of concrete, rsh is the correction factor, k is the cement type factor, v is the volume (mm3), s is the surface area (mm2), f is the 28-d compressive strength (MPa), w is the water content, Kh is humidity factor, and h is relative humidity.