Erratum for “Performance-Based Seismic Design of Controlled Rocking Steel Braced Frames. II: Design of Capacity-Protected Elements” by Lydell Wiebe and Constantin Christopoulos

Wiebe, Lydell; Christopoulos, Constantin

doi:10.1061/(ASCE)ST.1943-541X.0001235

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Jan 6, 2015

Erratum for “Performance-Based Seismic Design of Controlled Rocking Steel Braced Frames. II: Design of Capacity-Protected Elements” by Lydell Wiebe and Constantin Christopoulos

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Authors: Lydell Wiebe [email protected] and Constantin Christopoulos, M.ASCEAuthor Affiliations

Publication: Journal of Structural Engineering

Volume 141, Issue 9

https://doi.org/10.1061/(ASCE)ST.1943-541X.0001235

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The subsequent correction should be made to the original paper. In Table 1, the equation related to the first mode of the overturning moment should be changed to the following:

M_{1, \max} (z) = M_{b, \max} [1 - \frac{3}{2} (\frac{z}{H}) + \frac{1}{2} {(\frac{z}{H})}^{3}]

(1)

Table 1. Modal Contributions to Design Envelopes

Description	Equation
Story shear
First mode	$V_{1, \max} (z) = \frac{3}{2} (\frac{M_{b, \max}}{H}) [1 - {(\frac{z}{H})}^{2}]$
Second mode	$V_{2, \max} (z) = 0.1265 [S_{a} (T_{1} / 3)] (\frac{W_{trib}}{g}) \| \cos 4.49 (\frac{z}{H}) + 0.217 \|$
Third mode	$V_{3, \max} (z) = 0.0297 [S_{a} (T_{1} / 5)] (\frac{W_{trib}}{g}) \| \cos 7.73 (\frac{z}{H}) - 0.1283 \|$
Overturning moment
First mode	$M_{1, \max} (z) = M_{b, \max} [1 - \frac{3}{2} (\frac{z}{H}) + \frac{1}{2} {(\frac{z}{H})}^{3}]$
Second mode	$M_{2, \max} (z) = 0.0282 [S_{a} (T_{1} / 3)] (\frac{W_{trib}}{g}) H \| \sin 4.49 (\frac{z}{H}) + 0.976 (\frac{z}{H}) \|$
Third mode	$M_{3, \max} (z) = 0.00384 [S_{a} (T_{1} / 5)] (\frac{W_{trib}}{g}) H \| \sin 7.73 (\frac{z}{H}) - 0.991 (\frac{z}{H}) \|$

The final term should be raised to the power of 3, not 2. The revised Table 1 is as presented next.

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Journal of Structural Engineering

Volume 141 • Issue 9 • September 2015

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Received: Nov 21, 2014

Accepted: Dec 2, 2014

Published online: Jan 6, 2015

Discussion open until: Jun 6, 2015

Published in print: Sep 1, 2015

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Lydell Wiebe [email protected]

Assistant Professor, Dept. of Civil Engineering, McMaster Univ., 1280 Main St. W, Hamilton, ON, Canada L8S 4L7 (corresponding author). E-mail: [email protected]

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Constantin Christopoulos, M.ASCE

Professor, Dept. of Civil Engineering, Univ. of Toronto, ON, Canada M5S 1A4.

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