Computation of Fundamental Periods for Moment Frames Using a Hand-Calculated Approach

The second method (known as Method B), specified in the 1997 Uniform Building Code Static Force Procedure, is a rational and accurate approach for finding the fundamental period of a frame. The formula used in Method B, however, is not a popular formula because it involves time-consuming computatio...

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Main Author: J. Kent Hsiao
Format: Article
Language:English
Published: Electronic Journals for Science and Engineering - International 2009-06-01
Series:Electronic Journal of Structural Engineering
Subjects:
Online Access:https://ejsei.com/EJSE/article/view/114
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author J. Kent Hsiao
author_facet J. Kent Hsiao
author_sort J. Kent Hsiao
collection DOAJ
description The second method (known as Method B), specified in the 1997 Uniform Building Code Static Force Procedure, is a rational and accurate approach for finding the fundamental period of a frame. The formula used in Method B, however, is not a popular formula because it involves time-consuming computations of frame deflections which usually require the use of computer software. A hand-calculated approach for the computation of frame deflections using a calculator rather than a computer is suggested in this paper in order to turn Method B into a practical method for determining the fundamental periods of low-rise moment frames. The general stiffness matrix of a three-story, three-bay frame presented in this paper is intended to be used as an aid to compute the deflections for any moment frame within three stories in height and within three bays in width. Examples shown in this paper illustrate the step by step procedure for the computation of the fundamental periods of low-rise moment frames using the proposed hand-calculated approach. These examples also demonstrate that the results obtained from the proposed hand-calculated static approach agree with that obtained from the dynamic analysis.
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spelling doaj.art-6b0724d150ac415cbf8df93fff24872e2023-08-29T10:29:00ZengElectronic Journals for Science and Engineering - InternationalElectronic Journal of Structural Engineering1443-92552009-06-01910.56748/ejse.9114Computation of Fundamental Periods for Moment Frames Using a Hand-Calculated ApproachJ. Kent Hsiao0Southern Illinois University Carbondale The second method (known as Method B), specified in the 1997 Uniform Building Code Static Force Procedure, is a rational and accurate approach for finding the fundamental period of a frame. The formula used in Method B, however, is not a popular formula because it involves time-consuming computations of frame deflections which usually require the use of computer software. A hand-calculated approach for the computation of frame deflections using a calculator rather than a computer is suggested in this paper in order to turn Method B into a practical method for determining the fundamental periods of low-rise moment frames. The general stiffness matrix of a three-story, three-bay frame presented in this paper is intended to be used as an aid to compute the deflections for any moment frame within three stories in height and within three bays in width. Examples shown in this paper illustrate the step by step procedure for the computation of the fundamental periods of low-rise moment frames using the proposed hand-calculated approach. These examples also demonstrate that the results obtained from the proposed hand-calculated static approach agree with that obtained from the dynamic analysis. https://ejsei.com/EJSE/article/view/114Bending momentsConcrete beamsConcrete columnsDegrees of freedomDynamic analysisLateral forces
spellingShingle J. Kent Hsiao
Computation of Fundamental Periods for Moment Frames Using a Hand-Calculated Approach
Electronic Journal of Structural Engineering
Bending moments
Concrete beams
Concrete columns
Degrees of freedom
Dynamic analysis
Lateral forces
title Computation of Fundamental Periods for Moment Frames Using a Hand-Calculated Approach
title_full Computation of Fundamental Periods for Moment Frames Using a Hand-Calculated Approach
title_fullStr Computation of Fundamental Periods for Moment Frames Using a Hand-Calculated Approach
title_full_unstemmed Computation of Fundamental Periods for Moment Frames Using a Hand-Calculated Approach
title_short Computation of Fundamental Periods for Moment Frames Using a Hand-Calculated Approach
title_sort computation of fundamental periods for moment frames using a hand calculated approach
topic Bending moments
Concrete beams
Concrete columns
Degrees of freedom
Dynamic analysis
Lateral forces
url https://ejsei.com/EJSE/article/view/114
work_keys_str_mv AT jkenthsiao computationoffundamentalperiodsformomentframesusingahandcalculatedapproach