Correction: Wang et al. Generalized SCF Formula of Out-Of-Plane Gusset Welded Joints and Assessment of Fatigue Life Extension by Additional Weld. Materials 2021, 14, 1249

Wang, Yixun; Luo, Yuxiao; Kotani, Yuki; Tsutsumi, Seiichiro

doi:10.3390/ma14092331

Open AccessCorrection

Correction: Wang et al. Generalized SCF Formula of Out-Of-Plane Gusset Welded Joints and Assessment of Fatigue Life Extension by Additional Weld. Materials 2021, 14, 1249

¹

Joining and Welding Research Institute, Osaka University, Osaka 567-0047, Japan

²

Department of Structural Engineering, Tongji University, Shanghai 200092, China

^*

Authors to whom correspondence should be addressed.

Materials 2021, 14(9), 2331; https://doi.org/10.3390/ma14092331

Submission received: 30 March 2021 / Revised: 12 April 2021 / Accepted: 27 April 2021 / Published: 30 April 2021

Download Versions Notes

The authors wish to revise in the text of Appendix A, pages 19–21 [1], due to the presence of incorrect information.

The correct text is shown below:

Appendix A

Formulae for calculating SCFs for gusset welded joints with a single attachment and double attachments under tensile and bending stress.

(1) Gusset welded joints with a single attachment under tensile stress:

K_{t} = 1 + 2.754886 \times 10^{- 5} \cdot f (r_{1} / t) \cdot f (θ_{1}) \cdot f ((r_{1} / t) \cdot (θ_{1})) \cdot f (T / t) \cdot f (L_{1} / t) \cdot f (L_{2} / t) \cdot f (W / t)

(A1)

where:

\begin{array}{l} f (r_{1} / t) = - 1.384329 \cdot {(r_{1} / t)}^{0.3978921} + 8.598751 \cdot {(r_{1} / t)}^{3} - 7.659145 \cdot {(r_{1} / t)}^{2} + 3.384387 \cdot (r_{1} / t) + 5.501032 \times 10^{- 1} \\ f (θ_{1}) = - 2.731085 \times 10^{- 1} \cdot {(θ_{1})}^{3} - 1.305053 \times 10^{- 1} \cdot {(θ_{1})}^{2} + 3.523407 \cdot (θ_{1}) + 2.808286 \\ \begin{array}{l} f ((r_{1} / t) \cdot (θ_{1})) = & 3.608792 \cdot {((r_{1} / t) \cdot (θ_{1}))}^{1.000578} + 3.115798 \times 10^{- 3} \cdot {((r_{1} / t) \cdot (θ_{1}))}^{3} - 5.948326 \times 10^{- 3} \cdot {((r_{1} / t) \cdot (θ_{1}))}^{2} \\ - 3.605840 \cdot ((r_{1} / t) \cdot (θ_{1})) + 4.749695 \times 10^{- 4} \end{array} \\ f (T / t) = - 6.706140 \times 10^{- 2} \cdot {(T / t)}^{3} + 2.808218 \times 10^{- 1} \cdot {(T / t)}^{2} - 1.092288 \cdot (T / t) + 8.585715 \\ f (L_{1} / t) = - 2.300747 \times 10^{- 1} \cdot {(L_{1} / t)}^{4} + 6.891865 \times 10^{- 1} \cdot {(L_{1} / t)}^{3} + 1.584404 \times 10^{- 1} \cdot {(L_{1} / t)}^{2} - 2.585717 \cdot (L_{1} / t) + 9.521052 \\ \begin{array}{l} f (L_{2} / t) = & 1.879764 \cdot {(L_{2} / t)}^{0.8153879} + 1.392864 \cdot {(L_{2} / t)}^{4} - 1.792958 \cdot {(L_{2} / t)}^{3} - 9.829634 \times 10^{- 1} \cdot {(L_{2} / t)}^{2} + 7.194295 \times 10^{- 1} \cdot (L_{2} / t) \\ + 1.447930 \end{array} \\ f (W / t) = - 1.278819 \times 10^{- 1} \cdot {(W / t)}^{4} + 3.057878 \times 10^{1} \cdot {(W / t)}^{3} - 2.505313 \times 10^{3} \cdot {(W / t)}^{2} + 7.782724 \times 10^{4} \cdot (W / t) + 9.862398 \times 10^{5} \end{array}

(2) Gusset welded joints with a single attachment under bending stress:

K_{t} = 1 + 1.089691 \times 10^{- 4} \cdot f (r_{1} / t) \cdot f (θ_{1}) \cdot f ((r_{1} / t) \cdot (θ_{1})) \cdot f (T / t) \cdot f (L_{1} / t) \cdot f (L_{2} / t) \cdot f (H / t) \cdot f (W / t) \cdot f ((T / t) \cdot (L_{1} / t))

(A2)

where:

\begin{array}{l} f (r_{1} / t) = 2.223480 \times 10^{- 1} \cdot {(r_{1} / t)}^{- 0.9588104} - 9.036846 \cdot {(r_{1} / t)}^{3} + 9.251138 \cdot {(r_{1} / t)}^{2} - 3.922908 \cdot (r_{1} / t) + 1.291691 \\ f (θ_{1}) = - 1.245222 \times 10^{- 1} \cdot {(θ_{1})}^{3} + 6.159986 \times 10^{- 1} \cdot {(θ_{1})}^{2} - 1.371642 \cdot (θ_{1}) + 2.713439 \\ \begin{array}{l} f ((r_{1} / t) \cdot (θ_{1})) = & 3.672617 \cdot {((r_{1} / t) \cdot (θ_{1}))}^{0.8179879} - 1.709043 \cdot {((r_{1} / t) \cdot (θ_{1}))}^{3} + 2.459607 \cdot {((r_{1} / t) \cdot (θ_{1}))}^{2} - 4.562573 \cdot ((r_{1} / t) \cdot (θ_{1})) \\ - 3.311594 \times 10^{- 3} \end{array} \\ f (T / t) = 1.535657 \times 10^{- 1} \cdot {(T / t)}^{3} - 2.233236 \times 10^{- 1} \cdot {(T / t)}^{2} - 3.221371 \cdot (T / t) + 1.585198 \times 10^{1} \\ f (L_{1} / t) = 9.147005 \times 10^{- 2} \cdot {(L_{1} / t)}^{4} - 5.379052 \times 10^{- 1} \cdot {(L_{1} / t)}^{3} + 1.217043 \cdot {(L_{1} / t)}^{2} - 1.372365 \cdot (L_{1} / t) + 9.554910 \times 10^{- 1} \\ \begin{array}{l} f (L_{2} / t) = & 2.323289 \cdot {(L_{2} / t)}^{0.07198295} + 1.128889 \times 10^{- 1} \cdot {(L_{2} / t)}^{4} - 4.608254 \times 10^{- 1} \cdot {(L_{2} / t)}^{3} + 7.908669 \times 10^{- 1} \cdot {(L_{2} / t)}^{2} \\ - 8.168302 \times 10^{- 1} \cdot (L_{2} / t) - 1.947074 \end{array} \\ f (H / t) = - 8.109550 \times 10^{1} \cdot {(H / t)}^{4} + 4.866448 \times 10^{1} \cdot {(H / t)}^{3} - 9.667820 \cdot {(H / t)}^{2} + 9.059584 \times 10^{- 1} \cdot (H / t) + 6.694241 \times 10^{- 1} \\ f (W / t) = - 1.353206 \times 10^{- 1} \cdot {(W / t)}^{4} + 3.728223 \times 10^{1} \cdot {(W / t)}^{3} - 3.820716 \times 10^{3} \cdot {(W / t)}^{2} + 1.792792 \times 10^{5} \cdot (W / t) + 1.212907 \times 10^{6} \\ \begin{array}{l} f ((T / t) \cdot (L_{1} / t)) = & 5.284976 \cdot {((T / t) \cdot (L_{1} / t))}^{0.7541015} - 6.653339 \times 10^{- 2} \cdot {((T / t) \cdot (L_{1} / t))}^{3} + 5.796792 \times 10^{- 1} \cdot {((T / t) \cdot (L_{1} / t))}^{2} \\ - 4.395484 \cdot ((T / t) \cdot (L_{1} / t)) + 1.429009 \end{array} \end{array}

(3) Gusset welded joints with double attachments under tensile stress:

K_{t} = 1 - 3.220317 \times 10^{- 8} \cdot f (r_{1} / t) \cdot f (θ_{1}) \cdot f ((r_{1} / t) \cdot (θ_{1})) \cdot f (T / t) \cdot f (L_{1} / t) \cdot f (L_{2} / t) \cdot f (H / t) \cdot f (W / t) \cdot f ((T / t) \cdot (L_{1} / t))

(A3)

where:

\begin{array}{l} f (r_{1} / t) = 1.682930 \cdot {(r_{1} / t)}^{- 0.1840345} - 1.743797 \times 10^{1} \cdot {(r_{1} / t)}^{3} + 4.538856 \cdot {(r_{1} / t)}^{2} + 2.538109 \cdot (r_{1} / t) + 2.245881 \times 10^{- 1} \\ f (θ_{1}) = - 1.131578 \times 10^{- 1} \cdot {(θ_{1})}^{3} - 7.136935 \times 10^{- 1} \cdot {(θ_{1})}^{2} + 3.799505 \cdot (θ_{1}) + 1.307790 \\ \begin{array}{l} f ((r_{1} / t) \cdot (θ_{1})) = & 3.711756 \cdot {((r_{1} / t) \cdot (θ_{1}))}^{1.0005805} + 3.488500 \times 10^{- 3} \cdot {((r_{1} / t) \cdot (θ_{1}))}^{3} - 6.228344 \times 10^{- 3} \cdot {((r_{1} / t) \cdot (θ_{1}))}^{2} \\ - 3.708776 \cdot ((r_{1} / t) \cdot (θ_{1})) + 5.093895 \times 10^{- 4} \end{array} \\ f (T / t) = - 1.339099 \times 10^{- 1} \cdot {(T / t)}^{3} - 2.209838 \times 10^{- 1} \cdot {(T / t)}^{2} + 2.672635 \cdot (T / t) + 7.091184 \\ f (L_{1} / t) = - 3.010451 \times 10^{- 1} \cdot {(L_{1} / t)}^{4} + 8.925728 \times 10^{- 1} \cdot {(L_{1} / t)}^{3} + 7.371901 \times 10^{- 1} \cdot {(L_{1} / t)}^{2} - 4.670849 \cdot (L_{1} / t) + 1.026529 \times 10^{1} \\ \begin{array}{l} f (L_{2} / t) = & 2.279216 \cdot {(L_{2} / t)}^{0.5125725} - 1.251885 \times 10^{- 1} \cdot {(L_{2} / t)}^{4} + 4.582496 \times 10^{- 1} \cdot {(L_{2} / t)}^{3} - 8.695745 \times 10^{- 1} \cdot {(L_{2} / t)}^{2} \\ + 5.580258 \times 10^{- 1} \cdot (L_{2} / t) + 1.428608 \end{array} \\ f (H / t) = - 5.287217 \times 10^{1} \cdot {(H / t)}^{4} + 3.348028 \times 10^{1} \cdot {(H / t)}^{3} - 8.163269 \cdot {(H / t)}^{2} + 1.102800 \cdot (H / t) + 6.451627 \times 10^{- 1} \\ f (W / t) = 1.301147 \times 10^{- 2} \cdot {(W / t)}^{4} - 9.567806 \cdot {(W / t)}^{3} + 2.394994 \times 10^{3} \cdot {(W / t)}^{2} - 2.200108 \times 10^{5} \cdot (W / t) - 1.3719900 \times 10^{7} \\ \begin{array}{l} f ((T / t) \cdot (L_{1} / t)) = & - 3.842040 \cdot {((T / t) \cdot (L_{1} / t))}^{0.4453254} + 1.650730 \times 10^{- 2} \cdot {((T / t) \cdot (L_{1} / t))}^{3} - 1.018550 \times 10^{- 1} \cdot {((T / t) \cdot (L_{1} / t))}^{2} \\ + 7.863548 \times 10^{- 1} \cdot ((T / t) \cdot (L_{1} / t)) + 1.243387 \times 10^{1} \end{array} \end{array}

(4) Gusset welded joints with double attachments under bending stress:

K_{t} = 1 - 1.639016 \times 10^{- 7} \cdot f (r_{1} / t) \cdot f (θ_{1}) \cdot f ((r_{1} / t) \cdot (θ_{1})) \cdot f (T / t) \cdot f (L_{1} / t) \cdot f (L_{2} / t) \cdot f (H / t) \cdot f (W / t) \cdot f ((T / t) \cdot (L_{1} / t))

(A4)

where:

\begin{array}{l} f (r_{1} / t) = 1.740637 \cdot {(r_{1} / t)}^{- 0.09991442} + 2.043759 \times 10^{1} \cdot {(r_{1} / t)}^{3} - 1.663699 \times 10^{1} \cdot {(r_{1} / t)}^{2} + 6.684307 \cdot (r_{1} / t) + 2.890842 \times 10^{- 1} \\ f (θ_{1}) = 3.632079 \times 10^{- 1} \cdot {(θ_{1})}^{3} - 1.599956 \cdot {(θ_{1})}^{2} + 3.408799 \cdot (θ_{1}) + 7.312355 \times 10^{- 1} \\ \begin{array}{l} f ((r_{1} / t) \cdot (θ_{1})) = & 6.949047 \cdot {((r_{1} / t) \cdot (θ_{1}))}^{1.00101058} + 1.031407 \times 10^{- 2} \cdot {((r_{1} / t) \cdot (θ_{1}))}^{3} - 1.990026 \times 10^{- 2} \cdot {((r_{1} / t) \cdot (θ_{1}))}^{2} \\ - 6.939134 \cdot ((r_{1} / t) \cdot (θ_{1})) + 1.507149 \times 10^{- 3} \end{array} \\ f (T / t) = 8.470214 \times 10^{- 2} \cdot {(T / t)}^{3} - 4.864101 \times 10^{- 1} \cdot {(T / t)}^{2} + 1.064472 \cdot (T / t) + 2.054082 \times 10^{- 1} \\ f (L_{1} / t) = - 1.161963 \times 10^{- 1} \cdot {(L_{1} / t)}^{4} - 1.881984 \times 10^{- 1} \cdot {(L_{1} / t)}^{3} + 8.294000 \times 10^{- 1} \cdot {(L_{1} / t)}^{2} + 2.137690 \cdot (L_{1} / t) + 1.034146 \times 10^{1} \\ \begin{array}{l} f (L_{2} / t) = & 8.900659 \times 10^{- 1} \cdot {(L_{2} / t)}^{0.06117333} + 2.432168 \times 10^{- 1} \cdot {(L_{2} / t)}^{4} - 1.108985 \cdot {(L_{2} / t)}^{3} + 2.38418 \times 10^{- 1} \cdot {(L_{2} / t)}^{2} \\ + 2.267569 \cdot (L_{2} / t) + 1.960294 \end{array} \\ f (H / t) = - 1.015390 \times 10^{1} \cdot {(H / t)}^{4} + 8.206560 \cdot {(H / t)}^{3} - 2.220777 \cdot {(H / t)}^{2} + 2.913172 \times 10^{- 1} \cdot (H / t) + 3.580056 \times 10^{- 1} \\ \begin{array}{l} f (W / t) = & - 8.704289 \times 10^{- 2} \cdot {(W / t)}^{4} + 7.902012 \times 10^{1} \cdot {(W / t)}^{3} - 2.753614 \times 10^{4} \cdot {(W / t)}^{2} + 4.562486 \times 10^{6} \cdot (W / t) \\ + 9.4279990 \times 10^{7} \end{array} \\ \begin{array}{l} f ((T / t) \cdot (L_{1} / t)) = & - 4.027887 \cdot {((T / t) \cdot (L_{1} / t))}^{- 0.168704} - 6.121183 \times 10^{- 3} \cdot {((T / t) \cdot (L_{1} / t))}^{3} + 7.573732 \times 10^{- 2} \cdot {((T / t) \cdot (L_{1} / t))}^{2} \\ - 4.068440 \times 10^{- 1} \cdot ((T / t) \cdot (L_{1} / t)) + 3.476241 \end{array} \end{array}

The previously given text is shown below:

Appendix A

Formulae for calculating SCFs for gusset welded joints with single attachment and double attachments under tensile and bending stress.

(1) Gusset welded joints with single attachment under tensile stress:

K_{t} = 1 + 2.75 \times 10^{- 5} \cdot f (r_{1} / t) \cdot f (θ_{1} / t) \cdot f ((r_{1} / t) \cdot (θ_{1} / t)) \cdot f (T / t) \cdot f (L_{1} / t) \cdot f (L_{2} / t) \cdot f (W / t)

(A1)

where:

\begin{array}{l} f (r_{1} / t) = - 1.384 \cdot {(r_{1} / t)}^{0.398} + 8.599 \cdot {(r_{1} / t)}^{3} - 7.659 \cdot {(r_{1} / t)}^{2} + 3.384 \cdot (r_{1} / t) + 0.550 \\ f (θ_{1}) = - 0.273 \cdot {(θ_{1})}^{3} - 0.131 \cdot {(θ_{1})}^{2} + 3.523 \cdot (θ_{1}) + 2.808 \\ f ((r_{1} / t) \cdot (θ_{1})) = 3.609 \cdot {((r_{1} / t) \cdot (θ_{1}))}^{1.001} + 0.003 \cdot {((r_{1} / t) \cdot (θ_{1}))}^{3} - 0.006 \cdot {((r_{1} / t) \cdot (θ_{1}))}^{2} - 3.606 \cdot ((r_{1} / t) \cdot (θ_{1})) + 4.750 \times 10^{- 4} \\ f (T / t) = - 0.067 \cdot {(T / t)}^{3} + 0.281 \cdot {(T / t)}^{2} - 1.092 \cdot (T / t) + 8.586 \\ f (L_{1} / t) = - 0.230 \cdot {(L_{1} / t)}^{4} + 0.689 \cdot {(L_{1} / t)}^{3} + 0.158 \cdot {(L_{1} / t)}^{2} - 2.586 \cdot (L_{1} / t) + 9.521 \\ f (L_{2} / t) = 1.880 \cdot {(L_{2} / t)}^{0.815} + 1.393 \cdot {(L_{2} / t)}^{4} - 1.793 \cdot {(L_{2} / t)}^{3} - 0.983 \cdot {(L_{2} / t)}^{2} + 0.719 \cdot (L_{2} / t) + 1.448 \\ f (W / t) = - 0.128 \cdot {(W / t)}^{4} + 30.579 \cdot {(W / t)}^{3} - 2.505 \times 10^{3} \cdot {(W / t)}^{2} + 7.783 \times 10^{4} \cdot (W / t) + 9.862 \times 10^{5} \end{array}

(2) Gusset welded joints with single attachment under bending stress:

K_{t} = 1 + 1.090 \times 10^{- 4} \cdot f (r_{1} / t) \cdot f (θ_{1} / t) \cdot f ((r_{1} / t) \cdot (θ_{1} / t)) \cdot f (T / t) \cdot f (L_{1} / t) \cdot f (L_{2} / t) \cdot f (H / t) \cdot f (W / t) \cdot f ((T / t) \cdot (L_{1} / t))

(A2)

where:

\begin{array}{l} f (r_{1} / t) = 0.222 \cdot {(r_{1} / t)}^{- 0.959} - 9.037 \cdot {(r_{1} / t)}^{3} + 9.251 \cdot {(r_{1} / t)}^{2} - 3.923 \cdot (r_{1} / t) + 1.292 \\ f (θ_{1}) = - 0.125 \cdot {(θ_{1})}^{3} + 0.616 \cdot {(θ_{1})}^{2} - 1.372 \cdot (θ_{1}) + 2.713 \\ f ((r_{1} / t) \cdot (θ_{1})) = 3.673 \cdot {((r_{1} / t) \cdot (θ_{1}))}^{0.818} - 1.709 \cdot {((r_{1} / t) \cdot (θ_{1}))}^{3} + 2.460 \cdot {((r_{1} / t) \cdot (θ_{1}))}^{2} - 4.563 \cdot ((r_{1} / t) \cdot (θ_{1})) - 3.312 \times 10^{- 3} \\ f (T / t) = 0.154 \cdot {(T / t)}^{3} - 0.223 \cdot {(T / t)}^{2} - 3.221 \cdot (T / t) + 15.852 \\ f (L_{1} / t) = 0.0915 \cdot {(L_{1} / t)}^{4} - 0.538 \cdot {(L_{1} / t)}^{3} + 1.217 \cdot {(L_{1} / t)}^{2} - 1.372 \cdot (L_{1} / t) + 0.955 \\ f (L_{2} / t) = 2.323 \cdot {(L_{2} / t)}^{0.0720} + 0.113 \cdot {(L_{2} / t)}^{4} - 0.461 \cdot {(L_{2} / t)}^{3} + 0.791 \cdot {(L_{2} / t)}^{2} - 0.817 \cdot (L_{2} / t) - 1.947 \\ f (H / t) = - 81.096 \cdot {(H / t)}^{4} + 48.664 \cdot {(H / t)}^{3} - 9.668 \cdot {(H / t)}^{2} + 0.906 \cdot (H / t) + 0.669 \\ f (W / t) = - 0.135 \cdot {(W / t)}^{4} + 37.282 \cdot {(W / t)}^{3} - 3.821 \times 10^{3} \cdot {(W / t)}^{2} + 1.793 \times 10^{5} \cdot (W / t) + 1.212 \times 10^{6} \\ \begin{array}{l} f ((T / t) \cdot (L_{1} / t)) = & 5.285 \cdot {((T / t) \cdot (L_{1} / t))}^{0.754} - 0.0665 \cdot {((T / t) \cdot (L_{1} / t))}^{3} + 0.580 \cdot {((T / t) \cdot (L_{1} / t))}^{2} - 4.395 \cdot ((T / t) \cdot (L_{1} / t)) + \\ 1.429 \end{array} \end{array}

(3) Gusset welded joints with double attachments under tensile stress:

K_{t} = 1 - 3.220 \times 10^{- 8} \cdot f (r_{1} / t) \cdot f (θ_{1} / t) \cdot f ((r_{1} / t) \cdot (θ_{1} / t)) \cdot f (T / t) \cdot f (L_{1} / t) \cdot f (L_{2} / t) \cdot f (H / t) \cdot f (W / t) \cdot f ((T / t) \cdot (L_{1} / t))

(A3)

where:

\begin{array}{l} f (r_{1} / t) = 1.683 \cdot {(r_{1} / t)}^{- 0.184} - 17.438 \cdot {(r_{1} / t)}^{3} + 4.539 \cdot {(r_{1} / t)}^{2} + 2.538 \cdot (r_{1} / t) + 0.225 \\ f (θ_{1}) = - 0.113 \cdot {(θ_{1})}^{3} - 0.714 \cdot {(θ_{1})}^{2} + 3.800 \cdot (θ_{1}) + 1.308 \\ \begin{array}{l} f ((r_{1} / t) \cdot (θ_{1})) = & 3.712 \cdot {((r_{1} / t) \cdot (θ_{1}))}^{1.001} + 3.489 \times 10^{- 3} \cdot {((r_{1} / t) \cdot (θ_{1}))}^{3} + 6.228 \times 10^{- 3} \cdot {((r_{1} / t) \cdot (θ_{1}))}^{2} - 3.709 \cdot ((r_{1} / t) \cdot (θ_{1})) + \\ 5.094 \times 10^{- 4} \end{array} \\ f (T / t) = - 0.134 \cdot {(T / t)}^{3} - 0.221 \cdot {(T / t)}^{2} + 2.673 \cdot (T / t) + 7.091 \\ f (L_{1} / t) = - 0.301 \cdot {(L_{1} / t)}^{4} + 0.893 \cdot {(L_{1} / t)}^{3} + 0.737 \cdot {(L_{1} / t)}^{2} - 4.671 \cdot (L_{1} / t) + 10.265 \\ f (L_{2} / t) = 2.279 \cdot {(L_{2} / t)}^{0.513} - 0.125 \cdot {(L_{2} / t)}^{4} + 0.458 \cdot {(L_{2} / t)}^{3} - 0.870 \cdot {(L_{2} / t)}^{2} + 0.558 \cdot (L_{2} / t) + 1.429 \\ f (H / t) = - 52.872 \cdot {(H / t)}^{4} + 33.480 \cdot {(H / t)}^{3} - 8.163 \cdot {(H / t)}^{2} + 1.103 \cdot (H / t) + 0.645 \\ f (W / t) = 0.013 \cdot {(W / t)}^{4} - 9.568 \cdot {(W / t)}^{3} + 2.395 \times 10^{3} \cdot {(W / t)}^{2} - 2.200 \times 10^{5} \cdot (W / t) - 1.372 \times 10^{7} \\ \begin{array}{l} f ((T / t) \cdot (L_{1} / t)) = & 3.842 \cdot {((T / t) \cdot (L_{1} / t))}^{0.445} + 0.0165 \cdot {((T / t) \cdot (L_{1} / t))}^{3} - 0.102 \cdot {((T / t) \cdot (L_{1} / t))}^{2} + 0.786 \cdot ((T / t) \cdot (L_{1} / t)) + \\ 12.434 \end{array} \end{array}

(4) Gusset welded joints with double attachments under bending stress:

K_{t} = 1 - 1.639 \times 10^{- 7} \cdot f (r_{1} / t) \cdot f (θ_{1} / t) \cdot f ((r_{1} / t) \cdot (θ_{1} / t)) \cdot f (T / t) \cdot f (L_{1} / t) \cdot f (L_{2} / t) \cdot f (H / t) \cdot f (W / t) \cdot f ((T / t) \cdot (L_{1} / t))

(A4)

where:

\begin{array}{l} f (r_{1} / t) = 1.741 \cdot {(r_{1} / t)}^{- 0.100} + 20.438 \cdot {(r_{1} / t)}^{3} - 16.637 \cdot {(r_{1} / t)}^{2} + 6.684 \cdot (r_{1} / t) + 0.289 \\ f (θ_{1}) = 0.363 \cdot {(θ_{1})}^{3} - 1.600 \cdot {(θ_{1})}^{2} + 3.409 \cdot (θ_{1}) + 0.731 \\ \begin{array}{l} f ((r_{1} / t) \cdot (θ_{1})) = & 6.949 \cdot {((r_{1} / t) \cdot (θ_{1}))}^{1.001} + 1.031 \times 10^{- 2} \cdot {((r_{1} / t) \cdot (θ_{1}))}^{3} - 1.990 \times 10^{- 2} \cdot {((r_{1} / t) \cdot (θ_{1}))}^{2} - 6.939 \cdot ((r_{1} / t) \cdot (θ_{1})) + \\ 1.507 \times 10^{- 3} \end{array} \\ f (T / t) = 0.0847 \cdot {(T / t)}^{3} - 0.486 \cdot {(T / t)}^{2} + 1.064 \cdot (T / t) + 0.205 \\ f (L_{1} / t) = - 0.116 \cdot {(L_{1} / t)}^{4} - 0.188 \cdot {(L_{1} / t)}^{3} + 0.829 \cdot {(L_{1} / t)}^{2} + 2.138 \cdot (L_{1} / t) + 10.341 \\ f (L_{2} / t) = 0.890 \cdot {(L_{2} / t)}^{0.0612} + 0.243 \cdot {(L_{2} / t)}^{4} - 1.109 \cdot {(L_{2} / t)}^{3} + 0.238 \cdot {(L_{2} / t)}^{2} + 2.268 \cdot (L_{2} / t) + 1.960 \\ f (H / t) = - 10.154 \cdot {(H / t)}^{4} + 8.207 \cdot {(H / t)}^{3} - 2.221 \cdot {(H / t)}^{2} + 0.291 \cdot (H / t) + 0.358 \\ f (W / t) = - 0.0870 \cdot {(W / t)}^{4} + 79.020 \cdot {(W / t)}^{3} - 2.754 \times 10^{4} \cdot {(W / t)}^{2} + 4.562 \times 10^{6} \cdot (W / t) + 9.428 \times 10^{7} \\ \begin{array}{l} f ((T / t) \cdot (L_{1} / t)) = & - 4.028 \cdot {((T / t) \cdot (L_{1} / t))}^{- 0.169} - 6.121 \times 10^{- 3} \cdot {((T / t) \cdot (L_{1} / t))}^{3} + 7.574 \times 10^{- 2} \cdot {((T / t) \cdot (L_{1} / t))}^{2} - \\ 0.407 \cdot ((T / t) \cdot (L_{1} / t)) + 3.476 \end{array} \end{array}

The authors would like to apologize for any inconvenience caused to the readers by these changes.

References

Wang, Y.; Luo, Y.; Kotani, Y.; Tsutsumi, S. Generalized SCF Formula of Out-Of-Plane Gusset Welded Joints and Assessment of Fatigue Life Extension by Additional Weld. Materials 2021, 14, 1249. [Google Scholar] [CrossRef] [PubMed]

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Wang, Y.; Luo, Y.; Kotani, Y.; Tsutsumi, S. Correction: Wang et al. Generalized SCF Formula of Out-Of-Plane Gusset Welded Joints and Assessment of Fatigue Life Extension by Additional Weld. Materials 2021, 14, 1249. Materials 2021, 14, 2331. https://doi.org/10.3390/ma14092331

AMA Style

Wang Y, Luo Y, Kotani Y, Tsutsumi S. Correction: Wang et al. Generalized SCF Formula of Out-Of-Plane Gusset Welded Joints and Assessment of Fatigue Life Extension by Additional Weld. Materials 2021, 14, 1249. Materials. 2021; 14(9):2331. https://doi.org/10.3390/ma14092331

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Wang, Yixun, Yuxiao Luo, Yuki Kotani, and Seiichiro Tsutsumi. 2021. "Correction: Wang et al. Generalized SCF Formula of Out-Of-Plane Gusset Welded Joints and Assessment of Fatigue Life Extension by Additional Weld. Materials 2021, 14, 1249" Materials 14, no. 9: 2331. https://doi.org/10.3390/ma14092331

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Correction: Wang et al. Generalized SCF Formula of Out-Of-Plane Gusset Welded Joints and Assessment of Fatigue Life Extension by Additional Weld. Materials 2021, 14, 1249

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