Notional load versus geometrical imperfection approach for second-order elastic analysis of steel frame

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Notional load versus geometrical imperfection approach for second-order elastic analysis of steel frame


Author: Wang, Hak-pun William
Title: Notional load versus geometrical imperfection approach for second-order elastic analysis of steel frame
Degree: M.Sc.
Year: 2002
Subject: Hong Kong Polytechnic University -- Dissertations
Elastic analysis (Engineering)
Steel framing (Building)
Geometrical Constructions
Structural dynamics
Department: Multi-disciplinary Studies
Dept. of Civil and Structural Engineering
Pages: xvii, 175 leaves : ill. ; 30 cm
Language: English
InnoPac Record:
Abstract: There is an increasing demand for the structural engineer to design and built for a taller and slender structure with economy in material costing at the same time. To achieve a safe and economical justified design, an accurate modeling for structural component to include the effect of sectional geometrical imperfection and erection out-of-plumbness under adverse loading condition becomes inevitable. Proposed investigation work detailed in this thesis is said to be an extension of investigation work by the publication "Effective Length and Notional Load Approaches for Assessing Frame Stability" made by the Task Committee on effective length of ASCE on the method known as "Notional Load Approach". In the Notional Load Approach, the notional load which to be calculated as product of notional load factor with total factored gravity load acting on a floor, is applied horizontally at the floor level to simulate the additional bending moment which due to member geometrical imperfection and column frame out-of-plumbness. BS5950 (2000 Edition) provides simple but yet unquantified guideline of notional load as 0.5% of total factored gravity load. Present investigation works carried out in this thesis consider the calibration of required notional load factor in regard to two distinct boundary conditions: plane frame with finite lateral displacement stiffness and plane frame with fully lateral restrained. Numerical value of notional load factor as functional of end restraint stiffness and slenderness of column member is investigated and studied. Finally the result of calibrated notional load factor for a single column model is extended and applied to rigidly connected plane frame. Verification examples with the application of proposed notional load is applied to symmetrical, unsymmetrical sway and non-sway plane frame. The analysis result is compared with "exact solution" which based on imperfect member. Hence the applicability and numerical accuracy of the Notional Load Approach can be studied and commented.

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