Table 11. Non-dimensional forms employed... | Emerald Publishing

Table 11.

Non-dimensional forms employed in PISA design model; s_u is local value of triaxial compression undrained shear strength; G₀ is local value of small-strain shear modulus; $σ'_{vi}$ is local value of initial vertical effective stress

Normalised variable	Clay framework (Byrne et al., 2020a)	Sand framework (Burd et al., 2020a)
Distributed load, $\bar{p}$	$\frac{p}{s_{u} D}$	$\frac{p}{{σ'}_{vi} D}$
Lateral displacement, $\bar{v}$	$\frac{v G_{0}}{D s_{u}}$	$\frac{v G_{0}}{D {σ'}_{vi}}$
Distributed moment, $\bar{m}$	$\frac{m}{s_{u} D^{2}}$	$\frac{m}{\|p\| D}$
Pile cross-section rotation, $\bar{ψ}$	$\frac{ψ G_{0}}{s_{u}}$	$\frac{ψ G_{0}}{{σ'}_{vi}}$
Base horizontal force, ${\bar{H}}_{B}$	$\frac{H_{B}}{s_{u} D^{2}}$	$\frac{H_{B}}{{σ'}_{vi} D^{2}}$
Base moment, ${\bar{M}}_{B}$	$\frac{M_{B}}{s_{u} D^{3}}$	$\frac{M_{B}}{{σ'}_{vi} D^{3}}$

Normalised variable	Clay framework (Byrne et al., 2020a)	Sand framework (Burd et al., 2020a)
Distributed load, $\bar{p}$	$\frac{p}{s_{u} D}$	$\frac{p}{{σ'}_{vi} D}$
Lateral displacement, $\bar{v}$	$\frac{v G_{0}}{D s_{u}}$	$\frac{v G_{0}}{D {σ'}_{vi}}$
Distributed moment, $\bar{m}$	$\frac{m}{s_{u} D^{2}}$	$\frac{m}{\|p\| D}$
Pile cross-section rotation, $\bar{ψ}$	$\frac{ψ G_{0}}{s_{u}}$	$\frac{ψ G_{0}}{{σ'}_{vi}}$
Base horizontal force, ${\bar{H}}_{B}$	$\frac{H_{B}}{s_{u} D^{2}}$	$\frac{H_{B}}{{σ'}_{vi} D^{2}}$
Base moment, ${\bar{M}}_{B}$	$\frac{M_{B}}{s_{u} D^{3}}$	$\frac{M_{B}}{{σ'}_{vi} D^{3}}$