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Errata
Jan 15, 2014

Erratum for “Stress-Strain-Temperature Relationship for Structural Steel” by K. W. Poh

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Author: K. W. Poh [email protected]Author Affiliations
Publication: Journal of Materials in Civil Engineering
Volume 26, Issue 2
https://doi.org/10.1061/(ASCE)MT.1943-5533.0000902
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The following corrections should be made to the original paper:
On p. 372, Eq. (2) should read
σ=ε2|ε|{[β1|ε|+β4+β6−|a|−β6(1+|(β1|ε|−β4−β1β7)|−|a|β6−β1β7)]+[(β2−β3)b(1+|(β2−β3)bβ5|β9)1/β9+β3b]×[1+|b|−|(b−β10)|β10]}
(2)
where
a=β1|ε|−β4−β6
b=|ε|−β8−β4β1
On p. 374, Eq. (5) should read
[γ]=i=1i=2i=3i=4i=5i=6i=7i=8i=9[01.6×10−44×10−6−2×10−4−2.4×10−30001×10−3−1.4×10−30.0135−6×10−5−1.45×10−35×10−3−1.2×10−3−3.3×10−3−0.05−2×10−335045052090504204503003001,08070061072020032001004501.0040.032.5×10−31.0280.5090.10.100.5555555555]j=1j=2j=3j=4j=5j=6
(5)
On p. 377, column 1, 10th line, the sentences should read as follows: “In the expressions in Appendix III, β6 have been set to zero to remove the upper yield peak. β10=0.001 and γ6=5 are substituted into Eqs. (2) and (3) to give Eqs. (14) and (15), respectively.”
On p. 377, column 1, 14th line, the sentence should read as follows: “Appendix III shows that in the expanded format, the resulting relationship contains a total of two equations and 38 nonzero coefficients, which is more than those in Lie relationship (six equations and 13 coefficients); but less than those in the Eurocode 3 relationship (26 equations and 42 coefficients).”
On p. 378, Eqs. (14)–(21) should be replaced with the following:
σ=ε2|ε|{β1|ε|+β4−|a|+[(β2−β3)b(1+|(β2−β3)bβ5|β9)1/β9+β3b]×[1+|b|−|(b−0.001)|0.001]}
(14)
where
a=β1|ε|−β4−β6
b=|ε|−β8−β4β1
βi=(γi2−γi1)(2T−γi3−γi4)2(1+|2T−γi3−γi4γi4−γi3|5)1/5+(γi1−γi2)(γi3−γi4)2+γi1T+γi5
(15)
where
[γ]=i=1i=2i=3i=4i=5i=6i=7i=8i=9[01.6×10−44×10−6−2×10−4−2.4×10−30001×10−3−1.4×10−30.0135−6×10−5−1.45×10−35×10−3−1.2×10−3−3.3×10−3−0.05−2×10−335045052090504204503003001,08070061072020032001004501.0040.032.5×10−31.0280.5090.10.100.5]j=1j=2j=3j=4j=5
and
β2=β1β5=β4}when  T>500°C
c11=0;c12=−1.4×10−3;c13=350;c14=1,080;c15=1.004;c21=1.6×10−4;c22=0.0135;c23=450;c24=700;c25=0.03;c31=4×10−6;c32=−6×10−5;c33=520;c34=610;c35=2.5×10−3;
c41=−2×10−4;c42=−1.45×10−3;c43=90;c44=720;c45=1.028;c51=−0.0024;c52=5×10−3;c53=50;c54=200;c55=0.509;c71=0;c72=−3.3×10−3;c73=450;c74=0;c75=0.1;c81=0;c82=−0.05;c83=300;c84=100;c85=0;c91=0.001;c92=−2×10−3;c93=300;c94=450;c95=0.5

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Go to Journal of Materials in Civil Engineering
Journal of Materials in Civil Engineering
Volume 26 • Issue 2 • February 2014
Pages: 388 - 389

Copyright

© 2014 American Society of Civil Engineers.

History

Received: Apr 13, 2013
Accepted: Jul 17, 2013
Published online: Jan 15, 2014
Published in print: Feb 1, 2014
Discussion open until: Jun 15, 2014

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K. W. Poh [email protected]
Associate Director, Principal Fire Engineer, Umow Lai, Level 4, 10 Yarra St., South Yarra, Victoria 3150, Australia. E-mail: [email protected]
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