Correction to: Structural and Multidisciplinary Optimization

https://doi.org/10.1007/s00158-020-02676-3

The original version of this paper unfortunately contains two mistakes. The authors wish to revise the mistaken problem (27) and a mistaken statement in Section 5.1; see below corrections.

Correction 1: Problem (27) should be corrected to

$$ {\displaystyle \begin{array}{l}\mathit{\min}.f\left({x}_1,{x}_2\right)={\rho x}_1\sqrt{1+{x}_2^2}\\ {}\mathrm{subject}\ \mathrm{to}\\ {}\begin{array}{c}{g}_1\left({x}_1,{x}_2\right)=1-\frac{5Q}{\sqrt{65}{F}_y}\sqrt{1+{x}_2^2}\left(\frac{8}{x_1}+\frac{1}{x_1{x}_2}\right)\ge 0\\ {}{g}_2\left({x}_1,{x}_2\right)=1-\frac{5Q}{\sqrt{65}{F}_y}\sqrt{1+{x}_2^2}\left(\frac{8}{x_1}-\frac{1}{x_1{x}_2}\right)\ge 0\\ {}0.2\le {x}_1\le 20,\kern0.5em 0.1\le {x}_2\le 1.6\end{array}\end{array}} $$
(27)

The numerical results are correct, since this was just a typing error.

Correction 2: In the second paragraph of Section 5.1, the statement: “Nominal values of the yield stress, tensile strength, and Young’s modulus of the steel material are 200 MPa, 250 MPa, and 400 GPa, respectively” should be corrected to “Nominal values of the yield stress, tensile strength, and Young’s modulus of the steel material are 250 MPa, 400 MPa, and 200 GPa, respectively”.