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

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:

$$K_t=1+2.754886\times {10}^{-5}\cdot f(r_1/t)\cdot f({\theta }_1)\cdot f\left((r_1/t)\cdot ({\theta }_1)\right)\cdot f(T/t)\cdot f(L_1/t)\cdot f(L_2/t)\cdot f(W/t)$$ (A1)

where:

$$\begin{array}{l}f(r_1/t)=-1.384329\cdot {(r_1/t)}^{0.3978921}+8.598751\cdot {(r_1/t)}^3-7.659145\cdot {(r_1/t)}^2+3.384387\cdot (r_1/t)+5.501032\times {10}^{-1}\\ f({\theta }_1)=-2.731085\times {10}^{-1}\cdot {({\theta }_1)}^3-1.305053\times {10}^{-1}\cdot {({\theta }_1)}^2+3.523407\cdot ({\theta }_1)+2.808286\\ \begin{array}{ll}f\left((r_1/t)\cdot ({\theta }_1)\right)=& 3.608792\cdot {\left((r_1/t)\cdot ({\theta }_1)\right)}^{1.000578}+3.115798\times {10}^{-3}\cdot {\left((r_1/t)\cdot ({\theta }_1)\right)}^3-5.948326\times {10}^{-3}\cdot {\left((r_1/t)\cdot ({\theta }_1)\right)}^2\\ & -\hspace{0.17em}3.605840\cdot ((r_1/t)\cdot ({\theta }_1))+4.749695\times {10}^{-4}\end{array}\\ f(T/t)=-6.706140\times {10}^{-2}\cdot {(T/t)}^3+2.808218\times {10}^{-1}\cdot {(T/t)}^2-1.092288\cdot (T/t)+8.585715\\ f(L_1/t)=-2.300747\times {10}^{-1}\cdot {(L_1/t)}^4+6.891865\times {10}^{-1}\cdot {(L_1/t)}^3+1.584404\times {10}^{-1}\cdot {(L_1/t)}^2-2.585717\cdot (L_1/t)+9.521052\\ \begin{array}{ll}f(L_2/t)=& 1.879764\cdot {\left(L_2/t\right)}^{0.8153879}+1.392864\cdot {\left(L_2/t\right)}^4-1.792958\cdot {\left(L_2/t\right)}^3-9.829634\times {10}^{-1}\cdot {\left(L_2/t\right)}^2+7.194295\times {10}^{-1}\cdot (L_2/t)\\ & +1.447930\end{array}\\ f(W/t)=-1.278819\times {10}^{-1}\cdot {(W/t)}^4+3.057878\times {10}^1\cdot {(W/t)}^3-2.505313\times {10}^3\cdot {(W/t)}^2+7.782724\times {10}^4\cdot (W/t)+9.862398\times {10}^5\end{array}$$

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

$$K_t=1+1.089691\times {10}^{-4}\cdot f(r_1/t)\cdot f({\theta }_1)\cdot f\left((r_1/t)\cdot ({\theta }_1)\right)\cdot f(T/t)\cdot f(L_1/t)\cdot f(L_2/t)\cdot f(H/t)\cdot f(W/t)\cdot f\left((T/t)\cdot (L_1/t)\right)$$ (A2)

where:

$$\begin{array}{l}f(r_1/t)=2.223480\times {10}^{-1}\cdot {(r_1/t)}^{-0.9588104}-9.036846\cdot {(r_1/t)}^3+9.251138\cdot {(r_1/t)}^2-3.922908\cdot (r_1/t)+1.291691\\ f({\theta }_1)=-1.245222\times {10}^{-1}\cdot {({\theta }_1)}^3+6.159986\times {10}^{-1}\cdot {({\theta }_1)}^2-1.371642\cdot ({\theta }_1)+2.713439\\ \begin{array}{ll}f\left((r_1/t)\cdot ({\theta }_1)\right)=& 3.672617\cdot {\left((r_1/t)\cdot ({\theta }_1)\right)}^{0.8179879}-1.709043\cdot {\left((r_1/t)\cdot ({\theta }_1)\right)}^3+2.459607\cdot {\left((r_1/t)\cdot ({\theta }_1)\right)}^2-4.562573\cdot ((r_1/t)\cdot ({\theta }_1))\\ & -3.311594\times {10}^{-3}\end{array}\\ f(T/t)=1.535657\times {10}^{-1}\cdot {(T/t)}^3-2.233236\times {10}^{-1}\cdot {(T/t)}^2-3.221371\cdot (T/t)+1.585198\times {10}^1\\ f(L_1/t)=9.147005\times {10}^{-2}\cdot {(L_1/t)}^4-5.379052\times {10}^{-1}\cdot {(L_1/t)}^3+1.217043\cdot {(L_1/t)}^2-1.372365\cdot (L_1/t)+9.554910\times {10}^{-1}\\ \begin{array}{ll}f(L_2/t)=& 2.323289\cdot {\left(L_2/t\right)}^{0.07198295}+1.128889\times {10}^{-1}\cdot {\left(L_2/t\right)}^4-4.608254\times {10}^{-1}\cdot {\left(L_2/t\right)}^3+7.908669\times {10}^{-1}\cdot {\left(L_2/t\right)}^2\\ & -8.168302\times {10}^{-1}\cdot (L_2/t)-1.947074\end{array}\\ f(H/t)=-8.109550\times {10}^1\cdot {(H/t)}^4+4.866448\times {10}^1\cdot {(H/t)}^3-9.667820\cdot {(H/t)}^2+9.059584\times {10}^{-1}\cdot (H/t)+6.694241\times {10}^{-1}\\ f(W/t)=-1.353206\times {10}^{-1}\cdot {(W/t)}^4+3.728223\times {10}^1\cdot {(W/t)}^3-3.820716\times {10}^3\cdot {(W/t)}^2+1.792792\times {10}^5\cdot (W/t)+1.212907\times {10}^6\\ \begin{array}{ll}f\left((T/t)\cdot (L_1/t)\right)=& 5.284976\cdot {\left((T/t)\cdot (L_1/t)\right)}^{0.7541015}-6.653339\times {10}^{-2}\cdot {\left((T/t)\cdot (L_1/t)\right)}^3+5.796792\times {10}^{-1}\cdot {\left((T/t)\cdot (L_1/t)\right)}^2\\ & -\hspace{0.17em}4.395484\cdot \left((T/t)\cdot (L_1/t)\right)+1.429009\end{array}\end{array}$$

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

$$K_t=1-3.220317\times {10}^{-8}\cdot f(r_1/t)\cdot f({\theta }_1)\cdot f\left((r_1/t)\cdot ({\theta }_1)\right)\cdot f(T/t)\cdot f(L_1/t)\cdot f(L_2/t)\cdot f(H/t)\cdot f(W/t)\cdot f\left((T/t)\cdot (L_1/t)\right)$$ (A3)

where:

$$\begin{array}{l}f(r_1/t)=1.682930\cdot {(r_1/t)}^{-0.1840345}-1.743797\times {10}^1\cdot {(r_1/t)}^3+4.538856\cdot {(r_1/t)}^2+2.538109\cdot (r_1/t)+2.245881\times {10}^{-1}\\ f({\theta }_1)=-1.131578\times {10}^{-1}\cdot {({\theta }_1)}^3-7.136935\times {10}^{-1}\cdot {({\theta }_1)}^2+3.799505\cdot ({\theta }_1)+1.307790\\ \begin{array}{ll}f\left((r_1/t)\cdot ({\theta }_1)\right)=& 3.711756\cdot {\left((r_1/t)\cdot ({\theta }_1)\right)}^{1.0005805}+3.488500\times {10}^{-3}\cdot {\left((r_1/t)\cdot ({\theta }_1)\right)}^3-6.228344\times {10}^{-3}\cdot {\left((r_1/t)\cdot ({\theta }_1)\right)}^2\\ & -3.708776\cdot ((r_1/t)\cdot ({\theta }_1))+5.093895\times {10}^{-4}\end{array}\\ f(T/t)=-1.339099\times {10}^{-1}\cdot {(T/t)}^3-2.209838\times {10}^{-1}\cdot {(T/t)}^2+2.672635\cdot (T/t)+7.091184\\ f(L_1/t)=-3.010451\times {10}^{-1}\cdot {(L_1/t)}^4+8.925728\times {10}^{-1}\cdot {(L_1/t)}^3+7.371901\times {10}^{-1}\cdot {(L_1/t)}^2-4.670849\cdot (L_1/t)+1.026529\times {10}^1\\ \begin{array}{ll}f(L_2/t)=& 2.279216\cdot {\left(L_2/t\right)}^{0.5125725}-1.251885\times {10}^{-1}\cdot {\left(L_2/t\right)}^4+4.582496\times {10}^{-1}\cdot {\left(L_2/t\right)}^3-8.695745\times {10}^{-1}\cdot {\left(L_2/t\right)}^2\\ & +5.580258\times {10}^{-1}\cdot (L_2/t)+1.428608\end{array}\\ f(H/t)=-5.287217\times {10}^1\cdot {(H/t)}^4+3.348028\times {10}^1\cdot {(H/t)}^3-8.163269\cdot {(H/t)}^2+1.102800\cdot (H/t)+6.451627\times {10}^{-1}\\ f(W/t)=1.301147\times {10}^{-2}\cdot {(W/t)}^4-9.567806\cdot {(W/t)}^3+2.394994\times {10}^3\cdot {(W/t)}^2-2.200108\times {10}^5\cdot (W/t)-1.3719900\times {10}^7\\ \begin{array}{ll}f\left((T/t)\cdot (L_1/t)\right)=& -3.842040\cdot {\left((T/t)\cdot (L_1/t)\right)}^{0.4453254}+1.650730\times {10}^{-2}\cdot {\left((T/t)\cdot (L_1/t)\right)}^3-1.018550\times {10}^{-1}\cdot {\left((T/t)\cdot (L_1/t)\right)}^2\\ & +7.863548\times {10}^{-1}\cdot \left((T/t)\cdot (L_1/t)\right)+1.243387\times {10}^1\end{array}\end{array}$$

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

$$K_t=1-1.639016\times {10}^{-7}\cdot f(r_1/t)\cdot f({\theta }_1)\cdot f\left((r_1/t)\cdot ({\theta }_1)\right)\cdot f(T/t)\cdot f(L_1/t)\cdot f(L_2/t)\cdot f(H/t)\cdot f(W/t)\cdot f\left((T/t)\cdot (L_1/t)\right)$$ (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({\theta }_1)=3.632079\times {10}^{-1}\cdot {({\theta }_1)}^3-1.599956\cdot {({\theta }_1)}^2+3.408799\cdot ({\theta }_1)+7.312355\times {10}^{-1}\\ \begin{array}{ll}f\left((r_1/t)\cdot ({\theta }_1)\right)=& 6.949047\cdot {\left((r_1/t)\cdot ({\theta }_1)\right)}^{1.00101058}+1.031407\times {10}^{-2}\cdot {\left((r_1/t)\cdot ({\theta }_1)\right)}^3-1.990026\times {10}^{-2}\cdot {\left((r_1/t)\cdot ({\theta }_1)\right)}^2\\ & -\hspace{0.17em}6.939134\cdot ((r_1/t)\cdot ({\theta }_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}{ll}f(L_2/t)=& 8.900659\times {10}^{-1}\cdot {\left(L_2/t\right)}^{0.06117333}+2.432168\times {10}^{-1}\cdot {\left(L_2/t\right)}^4-1.108985\cdot {\left(L_2/t\right)}^3+2.38418\times {10}^{-1}\cdot {\left(L_2/t\right)}^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}{ll}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}{ll}f\left((T/t)\cdot (L_1/t)\right)=& -4.027887\cdot {\left((T/t)\cdot (L_1/t)\right)}^{-0.168704}-6.121183\times {10}^{-3}\cdot {\left((T/t)\cdot (L_1/t)\right)}^3+7.573732\times {10}^{-2}\cdot {\left((T/t)\cdot (L_1/t)\right)}^2\\ & -4.068440\times {10}^{-1}\cdot \left((T/t)\cdot (L_1/t)\right)+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:

$$K_t=1+2.75\times {10}^{-5}\cdot f(r_1/t)\cdot f({\theta }_1/t)\cdot f\left((r_1/t)\cdot ({\theta }_1/t)\right)\cdot f(T/t)\cdot f(L_1/t)\cdot f(L_2/t)\cdot f(W/t)$$ (A1)

where:

$$\begin{array}{l}f(r_1/t)=-1.384\cdot {(r_1/t)}^{0.398}+8.599\cdot {(r_1/t)}^3-7.659\cdot {(r_1/t)}^2+3.384\cdot (r_1/t)+0.550\\ f({\theta }_1)=-0.273\cdot {({\theta }_1)}^3-0.131\cdot {({\theta }_1)}^2+3.523\cdot ({\theta }_1)+2.808\\ f\left((r_1/t)\cdot ({\theta }_1)\right)=3.609\cdot {\left((r_1/t)\cdot ({\theta }_1)\right)}^{1.001}+0.003\cdot {((r_1/t)\cdot ({\theta }_1))}^3-0.006\cdot {((r_1/t)\cdot ({\theta }_1))}^2-\hspace{0.17em}3.606\cdot ((r_1/t)\cdot ({\theta }_1))+4.750\times {10}^{-4}\\ f(T/t)=-0.067\cdot {(T/t)}^3+0.281\cdot {(T/t)}^2-1.092\cdot (T/t)+8.586\\ f(L_1/t)=-0.230\cdot {(L_1/t)}^4+0.689\cdot {(L_1/t)}^3+0.158\cdot {(L_1/t)}^2-2.586\cdot (L_1/t)+9.521\\ f(L_2/t)=1.880\cdot {(L_2/t)}^{0.815}+1.393\cdot {(L_2/t)}^4-1.793\cdot {(L_2/t)}^3-0.983\cdot {(L_2/t)}^2+0.719\cdot (L_2/t)+1.448\\ f(W/t)=-0.128\cdot {(W/t)}^4+30.579\cdot {(W/t)}^3-2.505\times {10}^3\cdot {(W/t)}^2+7.783\times {10}^4\cdot (W/t)+9.862\times {10}^5\end{array}$$

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

$$K_t=1+1.090\times {10}^{-4}\cdot f(r_1/t)\cdot f({\theta }_1/t)\cdot f\left((r_1/t)\cdot ({\theta }_1/t)\right)\cdot f(T/t)\cdot f(L_1/t)\cdot f(L_2/t)\cdot f(H/t)\cdot f(W/t)\cdot f\left((T/t)\cdot (L_1/t)\right)$$ (A2)

where:

$$\begin{array}{l}f(r_1/t)=0.222\cdot {(r_1/t)}^{-0.959}-9.037\cdot {(r_1/t)}^3+9.251\cdot {(r_1/t)}^2-3.923\cdot (r_1/t)+1.292\\ f({\theta }_1)=-0.125\cdot {({\theta }_1)}^3+0.616\cdot {({\theta }_1)}^2-1.372\cdot ({\theta }_1)+2.713\\ f\left((r_1/t)\cdot ({\theta }_1)\right)=3.673\cdot {\left((r_1/t)\cdot ({\theta }_1)\right)}^{0.818}-1.709\cdot {((r_1/t)\cdot ({\theta }_1))}^3+2.460\cdot {((r_1/t)\cdot ({\theta }_1))}^2-4.563\cdot ((r_1/t)\cdot ({\theta }_1))-3.312\times {10}^{-3}\\ f(T/t)=0.154\cdot {(T/t)}^3-0.223\cdot {(T/t)}^2-3.221\cdot (T/t)+15.852\\ f(L_1/t)=0.0915\cdot {(L_1/t)}^4-0.538\cdot {(L_1/t)}^3+1.217\cdot {(L_1/t)}^2-1.372\cdot (L_1/t)+0.955\\ f(L_2/t)=2.323\cdot {(L_2/t)}^{0.0720}+0.113\cdot {(L_2/t)}^4-0.461\cdot {(L_2/t)}^3+0.791\cdot {(L_2/t)}^2-0.817\cdot (L_2/t)-1.947\\ f(H/t)=-81.096\cdot {(H/t)}^4+48.664\cdot {(H/t)}^3-9.668\cdot {(H/t)}^2+0.906\cdot (H/t)+0.669\\ f(W/t)=-0.135\cdot {(W/t)}^4+37.282\cdot {(W/t)}^3-3.821\times {10}^3\cdot {(W/t)}^2+1.793\times {10}^5\cdot (W/t)+1.212\times {10}^6\\ \begin{array}{ll}f\left((T/t)\cdot (L_1/t)\right)=& 5.285\cdot {\left((T/t)\cdot (L_1/t)\right)}^{0.754}-0.0665\cdot {\left((T/t)\cdot (L_1/t)\right)}^3+0.580\cdot {\left((T/t)\cdot (L_1/t)\right)}^2-\hspace{0.17em}4.395\cdot \left((T/t)\cdot (L_1/t)\right)+\\ & 1.429\end{array}\end{array}$$

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

$$K_t=1-3.220\times {10}^{-8}\cdot f(r_1/t)\cdot f({\theta }_1/t)\cdot f\left((r_1/t)\cdot ({\theta }_1/t)\right)\cdot f(T/t)\cdot f(L_1/t)\cdot f(L_2/t)\cdot f(H/t)\cdot f(W/t)\cdot f\left((T/t)\cdot (L_1/t)\right)$$ (A3)

where:

$$\begin{array}{l}f(r_1/t)=1.683\cdot {(r_1/t)}^{-0.184}-17.438\cdot {(r_1/t)}^3+4.539\cdot {(r_1/t)}^2+2.538\cdot (r_1/t)+0.225\\ f({\theta }_1)=-0.113\cdot {({\theta }_1)}^3-0.714\cdot {({\theta }_1)}^2+3.800\cdot ({\theta }_1)+1.308\\ \begin{array}{ll}f\left((r_1/t)\cdot ({\theta }_1)\right)=& 3.712\cdot {\left((r_1/t)\cdot ({\theta }_1)\right)}^{1.001}+3.489\times {10}^{-3}\cdot {\left((r_1/t)\cdot ({\theta }_1)\right)}^3+6.228\times {10}^{-3}\cdot {\left((r_1/t)\cdot ({\theta }_1)\right)}^2-3.709\cdot ((r_1/t)\cdot ({\theta }_1))+\\ & 5.094\times {10}^{-4}\end{array}\\ f(T/t)=-0.134\cdot {(T/t)}^3-0.221\cdot {(T/t)}^2+2.673\cdot (T/t)+7.091\\ f(L_1/t)=-0.301\cdot {(L_1/t)}^4+0.893\cdot {(L_1/t)}^3+0.737\cdot {(L_1/t)}^2-4.671\cdot (L_1/t)+10.265\\ f(L_2/t)=2.279\cdot {(L_2/t)}^{0.513}-0.125\cdot {(L_2/t)}^4+0.458\cdot {(L_2/t)}^3-0.870\cdot {(L_2/t)}^2+0.558\cdot (L_2/t)+1.429\\ f(H/t)=-52.872\cdot {(H/t)}^4+33.480\cdot {(H/t)}^3-8.163\cdot {(H/t)}^2+1.103\cdot (H/t)+0.645\\ f(W/t)=0.013\cdot {(W/t)}^4-9.568\cdot {(W/t)}^3+2.395\times {10}^3\cdot {(W/t)}^2-2.200\times {10}^5\cdot (W/t)-1.372\times {10}^7\\ \begin{array}{ll}f\left((T/t)\cdot (L_1/t)\right)=& 3.842\cdot {\left((T/t)\cdot (L_1/t)\right)}^{0.445}+0.0165\cdot {\left((T/t)\cdot (L_1/t)\right)}^3-0.102\cdot {\left((T/t)\cdot (L_1/t)\right)}^2+0.786\cdot \left((T/t)\cdot (L_1/t)\right)+\\ & 12.434\end{array}\end{array}$$

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

$$K_t=1-1.639\times {10}^{-7}\cdot f(r_1/t)\cdot f({\theta }_1/t)\cdot f\left((r_1/t)\cdot ({\theta }_1/t)\right)\cdot f(T/t)\cdot f(L_1/t)\cdot f(L_2/t)\cdot f(H/t)\cdot f(W/t)\cdot f\left((T/t)\cdot (L_1/t)\right)$$ (A4)

where:

$$\begin{array}{l}f(r_1/t)=1.741\cdot {(r_1/t)}^{-0.100}+20.438\cdot {(r_1/t)}^3-16.637\cdot {(r_1/t)}^2+6.684\cdot (r_1/t)+0.289\\ f({\theta }_1)=0.363\cdot {({\theta }_1)}^3-1.600\cdot {({\theta }_1)}^2+3.409\cdot ({\theta }_1)+0.731\\ \begin{array}{ll}f\left((r_1/t)\cdot ({\theta }_1)\right)=& 6.949\cdot {\left((r_1/t)\cdot ({\theta }_1)\right)}^{1.001}+1.031\times {10}^{-2}\cdot {\left((r_1/t)\cdot ({\theta }_1)\right)}^3-1.990\times {10}^{-2}\cdot {\left((r_1/t)\cdot ({\theta }_1)\right)}^2-\hspace{0.17em}6.939\cdot ((r_1/t)\cdot ({\theta }_1))+\\ & 1.507\times {10}^{-3}\end{array}\\ f(T/t)=0.0847\cdot {(T/t)}^3-0.486\cdot {(T/t)}^2+1.064\cdot (T/t)+0.205\\ f(L_1/t)=-0.116\cdot {(L_1/t)}^4-0.188\cdot {(L_1/t)}^3+0.829\cdot {(L_1/t)}^2+2.138\cdot (L_1/t)+10.341\\ f(L_2/t)=0.890\cdot {(L_2/t)}^{0.0612}+0.243\cdot {(L_2/t)}^4-1.109\cdot {(L_2/t)}^3+0.238\cdot {(L_2/t)}^2+2.268\cdot (L_2/t)+1.960\\ f(H/t)=-10.154\cdot {(H/t)}^4+8.207\cdot {(H/t)}^3-2.221\cdot {(H/t)}^2+0.291\cdot (H/t)+0.358\\ f(W/t)=-0.0870\cdot {(W/t)}^4+79.020\cdot {(W/t)}^3-2.754\times {10}^4\cdot {(W/t)}^2+4.562\times {10}^6\cdot (W/t)+9.428\times {10}^7\\ \begin{array}{ll}f\left((T/t)\cdot (L_1/t)\right)=& -4.028\cdot {\left((T/t)\cdot (L_1/t)\right)}^{-0.169}-6.121\times {10}^{-3}\cdot {\left((T/t)\cdot (L_1/t)\right)}^3+7.574\times {10}^{-2}\cdot {\left((T/t)\cdot (L_1/t)\right)}^2-\\ & 0.407\cdot \left((T/t)\cdot (L_1/t)\right)+3.476\end{array}\end{array}$$

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