Matrix Analysis of Semi-Rigidly Connected Frames

Monforton, Gerard R.; Wu, Tien H.

doi:10.1061/jsdeag.0000997

Cited by 134 publications

(29 citation statements)

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“…It should also be noted that in the absence of axial loading (N = 0), Eq. ( 12) converges to the linear analysis equation derived by Monforton and Wu (1963), shown in Eq. ( 14).…”

Section: Fig 3 Deformation Of a Typical Member With Considering Axial Load Effectsmentioning

confidence: 62%

“…Note that Fig. 3 is similar to the one used in the derivation of Monforton and Wu (1963) except that it is subjected to an axial load N. Its end moments are MA and MB, and the subscripts A and B correspond to the respective ends of the member. The transverse reactions YA and YB are also present at the ends.…”

Section: End Fixity Factorsmentioning

confidence: 99%

“…S∆,j is the lateral stiffness of column j. ru and rl are the end fixities of the upper and lower ends of the columns, respectively, obtained via Eq. (2) (Monforton and Wu 1963).…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Story-Based Stability of Multistory Steel Semibraced and Unbraced Frames with Semirigid Connections

2021

J. Struct. Eng.

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A simplified method is proposed for evaluating the stability of multi-storey, steel semi-braced and unbraced frames with semi-rigid connections. The proposed method decomposes a frame into individual storeys and evaluates the lateral stiffness of each storey via the storey-based stability approach with explicit, closed form solutions. Lateral sway instability occurs when the lateral stiffness of any storey diminishes to zero, and the storey for which this occurs can be considered the weakest storey in the frame. The results of the proposed method are theoretically verified via comparison to the results of finite element analyses. Use of the proposed decomposition method requires assuming the buckled shape of the frame, which is shown to provide satisfactory approximations of critical loads for engineering practice. Parametric studies are conducted to assess the sensitivity of the results to the corresponding buckling shape parameters. The assumption of asymmetric buckling, which is generally consistent with the sway buckling mode in semi-braced frames, produces reliable results in the proposed decomposition method.

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“…It should also be noted that in the absence of axial loading (N = 0), Eq. ( 12) converges to the linear analysis equation derived by Monforton and Wu (1963), shown in Eq. ( 14).…”

Section: Fig 3 Deformation Of a Typical Member With Considering Axial Load Effectsmentioning

confidence: 62%

Section: End Fixity Factorsmentioning

confidence: 99%

See 1 more Smart Citation

Story-Based Stability of Multistory Steel Semibraced and Unbraced Frames with Semirigid Connections

2021

J. Struct. Eng.

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“…All connections are generalized rotational springs, and JSFE 11,1 the column lower and upper end fixity factors for each column are r l,c,i and r u,c,i , respectively. The end fixity factors were originally defined by Monforton and Wu (1963) and are shown in equation (1).…”

Section: Proposed Methodsmentioning

confidence: 99%

Stability-based fire resistance duration of unbraced steel frames

2019

JSFE

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Purpose The collapse of a structure resulting from the instability of steel frames due to fire is the worst failure mode to consider in fire-structural engineering, and should be avoided. The purpose of this paper is to propose a new method for estimating the minimum possible duration of a fire event that could result in the instability of an unbraced steel frame. Design/methodology/approach The proposed method is in the form of a constrained minimization problem that determines the worst case fire scenario that can cause instability of a structure, and is solved using nonlinear constrained mathematical programming algorithms. The formulation is demonstrated via a numerical example. Findings For frames subjected to fire events modelled with monotonically increasing fire curves, the worst case fire causing instability of a frame is always one where all of the compartments catch fire at the same time. For frames subjected to fire events where fire curves decay, the minimization problem must be solved rigorously. The results are significantly affected by the fire curves and amount of insulation applied to each member. Originality/value The proposed method is an extension of a method previously established by Xu et al. (2018) to assess the stability of unbraced steel frames subjected to elevated member temperatures. The previous method does not consider fire duration and heat transfer mechanics, which are included in the proposed method. The proposed method is potentially useful for designers in conducting fire scenario analysis in the performance-based design of structures.

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“…The ductility of rigid connections is caused by contact deformations at the contact area of the rod and the elastic compliance of the attachment screws. It consists in a decrease in the rod's lateral stiffness [23][24][25]. In the present research, this decrease was taken into account considering the stiffness reduction coefficient λ, which was determined experimentally by comparing the experimental and calculated values of the transverse stiffness at N = 0…”

Section: Measuring the Flexural Rigidity Of The Rodmentioning

confidence: 99%

Tensile Buckling of a Rod with an End Moving along a Circular Guide: Improved Experimental Investigation Based on a Dynamic Approach

2021

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Investigation of buckling under tension is highly important from theoretical and practical viewpoints to ensure safety and the proper performance of mechanical systems. In the present work, tensile buckling is investigated experimentally, and the critical force is measured in systems where one end of an elastic tensile rod slides along a straight guide, while the other slides along a curve. An experimental setup is proposed and developed for determining the critical tensile load of the elastic rod by a dynamic method. This setup allows measuring free vibrations and frequency with the required accuracy. Improvement of the critical load accuracy is achieved by approaching the maximum load to the critical one. Limitations in selecting the test parameters are found according to the required extrapolation accuracy of the dominant natural vibration frequency dependence on tensile load. Theoretical analysis and tests are performed for the rod connection schemes pinned–rigid, rigid–pinned, and rigid–rigid, considering imperfections in the fixation of the rod ends. It is experimentally shown that the system buckling at tensile load is possible and that experimental and theoretical values of the critical load are in good agreement. The achieved accuracy, estimated by the discrepancy between the calculated and the experimental values, is 2.1–3.5%.

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Matrix Analysis of Semi-Rigidly Connected Frames

Cited by 134 publications

References 0 publications

Story-Based Stability of Multistory Steel Semibraced and Unbraced Frames with Semirigid Connections

Story-Based Stability of Multistory Steel Semibraced and Unbraced Frames with Semirigid Connections

Stability-based fire resistance duration of unbraced steel frames

Tensile Buckling of a Rod with an End Moving along a Circular Guide: Improved Experimental Investigation Based on a Dynamic Approach

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