Table 5 Formulation of the analytical models.

1

Liu et al.⁶⁶

\(\:{N}_{u}=\:{N}_{u,\:cirular}+{N}_{u,\:square}\)

\(\:{N}_{u}={A}_{c}{f}_{c}^{{\prime\:}}+\left(1.7{A}_{s,circular}+1.25{A}_{s,square}\right){f}_{ys}\)

2

Zhao et al.⁶⁷

\(\:{N}_{u}=Finite\:element\:based\:simulations\)

3

Bu et al.³⁰

\(\:{N}_{u}={A}_{a}{f}_{0.2}+2{A}_{c}\left(1+2{\lambda\:}_{ac}\right){f}_{0.2}+{A}_{sc}{f}_{c}^{{\prime\:}}\)

4

Ahmed & Liang³⁵

\(\:{N}_{u}={A}_{se}{f}_{ys}+{A}_{c}\left({\gamma\:}_{c}{f}_{c}^{{\prime\:}}+4.1{f}_{rp}\right)\)

5

Faxing et al.¹⁵

\(\:{N}_{u}={A}_{c}{f}_{c}^{{\prime\:}}\left(1+\left(0.8+0.9D/B\right)\varPhi\:\right)\)

6

Ren et al.²⁷

\(\:{N}_{u}={f}_{c}^{{\prime\:}}{A}_{c}\left(1+K\varPhi\:\right)\)

7

Lu et al.²⁵

\(\:{N}_{u}={f}_{c}^{{\prime\:}}{A}_{c}+{K}_{1}^{{\prime\:}}{f}_{ys}{A}_{s}+{K}_{2}^{{\prime\:}}{f}_{sv}{A}_{sso}\)

8

Ding et al.²⁴

\(\:{N}_{u}={A}_{c}{f}_{c}^{{\prime\:}}+\left(0.8+0.9D/B\right){f}_{ys}{A}_{s}+\left(B/D-1\right)/\left(0.6+0.15B/D\right){f}_{sv}{A}_{sso}\)

9

Hassanein & Patel²³

\(\:{N}_{u}={\gamma\:}_{s}{f}_{ys}{A}_{s}+\left({\gamma\:}_{c}{f}_{c}^{{\prime\:}}+4.1{f}_{rp}^{{\prime\:}}\right){A}_{c}+{f}_{ys}{A}_{seff}+{\gamma\:}_{c}{f}_{c}^{{\prime\:}}{A}_{c}\)

\(\:{\gamma\:}_{s}=1.458{\left(D/t\right)}^{-0.1}\:\:\:\:\:\:\:\:\:\:\:\:\:\:0.9\le\:{\gamma\:}_{s}\le\:1.10\)

10

Zhang et al.⁶⁶

\(\:{N}_{u}={f}_{scy}{A}_{sc}\)

\(\:{N}_{u}=\left\{\begin{array}{c}\:\:\:\:\:\:\\\:\:\:\:\end{array}\begin{array}{cc}\left(1.3+1.1\xi\:\right)\left(D-0.2D/\beta\:\right){f}_{c}^{{\prime\:}}&\:1\le\:\left(B/D\right)\le\:1.44\\\:\left(1.18+0.85\xi\:\right){f}_{c}^{{\prime\:}}&\:1.44<(B/D)\le\:4\end{array}\right.\)