Large Deformation Analysis of Elasticplastic Frames

Traditionally, classical methods of structural analysis such as slope-deflection and moment distribution methods (Cross method) are used for primary analysis of structures and also controlling the results of computer programs. The main objective of this paper is to introduce a new method for classical computing and extending it to a matrix formulation. The proposed approach, named the "Slope Distribution Method (SDM)", is based on a Jacobi iterative procedure, in which without forming the system of linear equations, structural displacement values are obtained. Also, to make the method applicable and to use it in computer softwares, the matrix formulation of the approach is developed, where there is no need for iterative procedures and the nodal rotations are obtained through solving only one matrix equation. The SDM is able to analyze frames with non-vertical columns and those with nodal vertical displacement. Whereas current analysis softwares have some elimination for the analysis of non-prismatic members, the proposed method can be applied to analyze structures with any non-prismatic member. The SDM process is also developed for the analysis of dual lateral load resisting systems (moment resisting frames with other lateral load resisting elements such as bracings and shear walls). The advantages of the method over previous ones and also, its accuracy and reliability are presented through the article.

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“…Using the equations from the Slope-Deflection Method given by Laursen (Laursen, 1988) and Kassimali (Kassimali, 1995), we have: …”

Section: Sdm Equationsmentioning

confidence: 99%

“…L is the length of the member, EI is the cross-section rigidity, and B Ѳ is the rotation at B (Kassimali, 1995;Laursen, 1988). Placing Equations (14) and (15) into equation (13) and solving for B Ѳ , we have:…”

Section: Sdm Equationsmentioning

confidence: 99%

A New Jacobi-based Iterative Method for the Classical Analysis of Structures

Mirfallah

Bozorgnasab

2015

Lat. Am. j. solids struct.

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“…The unknown displacements are written in term of the loads by using the load-displacement relations, and then solved for displacements. Once the displacements are known, the other response characteristics can then be determined by using the compatibility equations and member force-deformation relations (Hibbeler, 2009;Kassimali, 2005). Using Stiffness method in analyzing structures provides a unique solution.…”

Section: Topics Descriptionmentioning

confidence: 99%

“…A structure itself refers to a system of connected parts used to support loads, for example in Civil Engineering area this may include buildings, bridges and towers (Kassimali, 2005).…”

Section: Introductionmentioning

confidence: 99%

The Use of Scaffolding Approach to Enhance Students' Engagement in Learning Structural Analysis

Hardjito

2010

IES

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This paper presents a reflection on the use of Scaffolding Approach to engage Civil Engineering students in learning Structural Analysis subjects. In this approach, after listening to the lecture on background theory, students are provided with a series of practice problems, each one comes with the steps, formulas, hints, and tables needed to solve the problem. Gradually, with the growing confident to apply the method as a tool to analyze structures, the amount of help provided is reduced, until finally no help is provided at all.Using this approach, only the main background of theory is needed to be lectured. The application of the method to analyze various problems is learned by students themselves by doing the series of problems engineered with gradually-reduced supports. Students' engagement is greatly enhanced, as they are so much involved in the learning process.

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“…The destabilizing effect considered herein is the well-known P − δ effect [8,19], and the influence of axial forces on primary bending behavior can be described through stability functions. In addition, the effect of curvature shortening on axial deformation is captured through bowing functions.…”

Section: Arbitrarily Large Deformationmentioning

confidence: 99%

The influence of geometric effects on the behavior of strain softening frames

Tangaramvong

Tin‐Loi

2010

Comput Mech

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This paper presents a mathematical programming based approach for the analysis of elastoplastic softening frames in the presence of geometric nonlinearity. Arbitrarily large deformations, albeit within a small strain regime, can be accommodated, if necessary. For the sake of efficiency, and without undue loss of accuracy, the algorithm processes the nonholonomic (path-dependent) problem in a stepwise holonomic (path-independent) fashion. This analysis capability has been used to investigate what level or order of geometric nonlinearity needs to be adopted to obtain sufficiently accurate results for practical frames. Two examples are provided for illustrative purposes.

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Large Deformation Analysis of Elasticplastic Frames

Cited by 92 publications

References 9 publications

A New Jacobi-based Iterative Method for the Classical Analysis of Structures

A New Jacobi-based Iterative Method for the Classical Analysis of Structures

The Use of Scaffolding Approach to Enhance Students' Engagement in Learning Structural Analysis

The influence of geometric effects on the behavior of strain softening frames

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