scholarly journals Probabilistic Verification of Structural Stability Design Procedures

2018 ◽  
Vol 12 (1) ◽  
pp. 283-289
Author(s):  
Zdeněk Kala
Keyword(s):  
Carrying Capacity ◽  
Stochastic Approach ◽  
Geometrically Nonlinear ◽  
Load Carrying Capacity ◽  
Nonlinear Solution ◽  
Design Load ◽  
Load Carrying ◽  
Eurocode 3 ◽  
Plane Frame ◽  
Buckling Length

Introduction: This contribution presents a comparison of three methods of the statistical computation of the design load-carrying capacity of a steel plane frame. Two approaches of the European Standard Eurocode 3 and one stochastic approach are applied. The stochastic approach takes into account the random influence of all imperfections and can be applied to the reliability verification of design according to Eurocode 3. Methods: The columns and beams in the steel frame are modelled with beam elements using the stability solution with buckling length and the geometrically nonlinear solution. The stochastic computational model is based on the geometrically nonlinear solution and on the random influence of initial imperfections, whose random samplings are simulated using the Monte Carlo method. Results and Conclusion: The design load-carrying capacity of the steel plane frame computed using the stability solution with buckling length is in good agreement with the stochastic solution in which the design value is calculated as 0.1 percentile. On the contrary, the geometrically nonlinear solution according to Eurocode 3 gives the lowest (safest) values of design load-carrying capacity.

Analysis of Load-Carrying Capacity of Thin-Walled Closed Beams with Different Slenderness

2014 ◽  
Vol 969 ◽  
pp. 39-44
Author(s):  
Jan Valeš
Keyword(s):  
Cross Section ◽  
Carrying Capacity ◽  
Random Fields ◽  
Capacity Analysis ◽  
Geometrically Nonlinear ◽  
Load Carrying Capacity ◽  
Design Load ◽  
Steel Members ◽  
Load Carrying ◽  
Thin Walled

The presented paper deals with the load-carrying capacity analysis of compress steel members having the square closed (box) cross-section with non-dimensional slenderness 0.6, 0.8, 1.0 a 1.2. The axis of these beams is randomly three-dimensionally curved. Initial curvatures are modelled by random fields applying the LHS method. Load-carrying capacities are then calculated by the geometrically nonlinear solution using the ANSYS program. The results are presented both in form of histograms and of the table. The analysis of load-carrying capacity of beams with individual nonlinear slenderness is carried out, and the values are compared with the values of design load-carrying capacity according to the standard.

Stochastic Reynolds equation for the combined effects of piezo-viscous dependency and squeeze-film lubrication of micropolar fluids on rough porous circular stepped plates

2021 ◽  
pp. 135065012110224
Author(s):  
Hanumagowda Bannihalli Naganagowda ◽  
Sreekala Cherkkarathandayan Karappan
Keyword(s):  
Carrying Capacity ◽  
Stochastic Approach ◽  
Squeeze Film ◽  
Closed Form Expression ◽  
Load Carrying Capacity ◽  
Micropolar Fluids ◽  
Pressure Dependent Viscosity ◽  
Load Carrying ◽  
Dependent Viscosity ◽  
Film Characteristics

The aim of this paper is to presents a theoretical analysis on squeeze-film characteristics of a rough porous circular stepped plate in the vicinity of pressure-dependent viscosity and lubrication by micropolar fluids. A closed-form expression for non-dimensional pressure, load, and squeezing time is derived based on Eringen’s theory, Darcy’s equation, and Christensen’s stochastic approach. Results indicate that the effects of pressure-dependent viscosity, surface roughness, and micropolar fluids play an important role in increasing the load-carrying capacity and squeezing time, whereas the presence of porous media decreases the load-carrying capacity and squeezing time of the rough porous circular stepped plates.

scholarly journals GEOMETRICALLY NON-LINEAR FINITE ELEMENT RELIABILITY ANALYSIS OF STEEL PLANE FRAMES WITH INITIAL IMPERFECTIONS / PLIENINIŲ RĖMŲ SU DEFEKTAIS GEOMETRIŠKAI NETIESINĖ BAIGTINIŲ ELEMENTŲ PATIKIMUMO ANALIZĖ

2012 ◽  
Vol 18 (1) ◽  
pp. 81-90 ◽  
Author(s):  
Zdeněk Kala
Keyword(s):  
Statistical Analysis ◽  
Carrying Capacity ◽  
Sampling Method ◽  
Latin Hypercube Sampling ◽  
Load Carrying Capacity ◽  
Initial Imperfections ◽  
Load Carrying ◽  
Eurocode 3 ◽  
Non Linear ◽  
Plane Frames

The random load carrying capacity of steel plane frames with bracing stiffness is studied. The load carrying capacity is evaluated using the geometrically non-linear FEM analysis. The incremental stiffness matrix of a slightly curved element utilized in the non-linear incremental analysis is listed. Initial imperfections are considered as random variables. Statistical analysis and Sobol sensitivity analysis are performed using the Latin Hypercube Sampling method. The effect of initial random imperfections on the load carrying capacity is studied, whilst assuming constant slenderness of the columns. The evaluation parameters are the pair of non-random values of elastic bracing stiffness, and system length of the columns. The paper illustrates that the load carrying capacity is very sensitive to initial crookedness of the columns in the event that the non-sway (symmetric) and sway (anti-symmetric) buckling modes coincide. In this case, the design load carrying capacity obtained from statistical analysis according to the EN 1990 (2002) standard is relatively very small (of low safety). Results show that the reliability of design of a steel frame according to EUROCODE 3 (1993) is significantly misaligned. The significance of the first and the second buckling forces as indicators of sensitivity of the load carrying capacity to the imperfections is discussed. Santrauka Tiriama plieninio plokščio rėmo su standžiaisiais ryšiais laikomoji galia. Ji vertinama atliekant geometriškai netiesinę BEM analizę. Aptariama šiek tiek išlinkusio elemento laipsniškai didėjanti standumo matrica, atliekant netiesinį iteracinį skaičiavimą. Atsitiktiniu dydžiu laikomas pradinis defektas. Statistinė ir Sobolio (Sobol) jautrumo analizė atliekama pritaikant LHS metodą (Latin Hypercube Sampling Method). Nagrinėjamas pradinio atsitiktinio defekto poveikis laikomajai galiai darant prielaidą, kad pastovus dydis yra liauna kolona. Vertinimo kriterijus yra ne atsitiktinių didžių pora, t. y. tampriai standus ryšiai ir konstrukcijos kolonų aukštis. Straipsnyje aptariama kolonos pradinio kreivio įtaka laikomajai galiai, atsižvelgiant į klupumo formas, kai nelinksta (simetrinė apkrova) ir linksta (nesimetrinė apkrova). Laikomosios galios projektavimo apkrovos, šiuo atveju gautos iš statistinės analizės pagal EN 1990 (2002) standartą, yra palyginti nedidelės. Gauti rezultatai rodo, kad plieninio rėmo patikimumas pagal Eurocode 3 (1993) labai nesutampa. Nagrinėjama defektų įtaka laikomajai galiai atsižvelgiant į pirmą ir antrą klupimo jėgą.

Design load-carrying capacity estimates and an improved wooden shore setup

2004 ◽  
Vol 17 (2) ◽  
pp. 167-186 ◽  
Author(s):  
Y.L. Huang ◽  
Y.C. Lin ◽  
C.F. Lee ◽  
H.J. Chen ◽  
T. Yen
Keyword(s):  
Carrying Capacity ◽  
Load Carrying Capacity ◽  
Design Load ◽  
Load Carrying ◽  
Capacity Estimates

scholarly journals OPTIMIZATION OF GEOMETRICALLY NONLINEAR LATTICE GIRDERS. PART I: CONSIDERING MEMBER STRENGTHS

2015 ◽  
Vol 21 (4) ◽  
pp. 423-443 ◽  
Author(s):  
Tugrul Talaslioglu
Keyword(s):  
Optimization Algorithm ◽  
Carrying Capacity ◽  
Optimization Approach ◽  
Geometrically Nonlinear ◽  
Load Carrying Capacity ◽  
Multi Objective Optimization ◽  
Multi Objective ◽  
Load Carrying ◽  
Lattice Girder ◽  
Tubular Lattice

In this study, the entire weight, joint displacements and load-carrying capacity of tubular lattice girders are simultaneously optimized by a multi-objective optimization algorithm, named Non-dominated Sorting Genetic Algorithm II (NSGAII). Thus, the structural responses of tubular lattice girders are obtained by use of arc-length method as a geometrically nonlinear analysis approach and utilized to check their member strengths at each load step according to the provisions of the American Petroleum Institute specification (API RP2A-LRFD 1993). In order to improve the computing capacity of proposed optimization approach, while the optimization algorithm is hybridized with a radial basis neural network approach, an automatic lattice girder generator is included into the design stage. The improved optimization algorithm, called ImpNSGAII, is applied to both a benchmark lattice girder with 17 members and a lattice girder with varying span lengths and loading conditions. Consequently, it is demonstrated: 1) the optimal lattice girder configuration generated has a higher load-carrying capacity ensuring lower weight and joint displacement values; 2) the use of a multi-objective optimization approach increases the correctness degree in evaluation of optimality quality due to the possibility of performing a trade-off analysis for optimal designations; 3) the computing performance of ImpNSGAII is higher than NSGAII’s.

Nonlinear Bending and Collapse Analyses of a Poked Cylinder and Other Point-Loaded Cylinders

1983 ◽  
Vol 105 (4) ◽  
pp. 347-355 ◽  
Author(s):  
L. H. Sobel
Keyword(s):  
Carrying Capacity ◽  
Elastic Shell ◽  
Nonlinear Behavior ◽  
Displacement Curve ◽  
Geometrically Nonlinear ◽  
Load Carrying Capacity ◽  
Primary Interest ◽  
Nonlinear Bending ◽  
Load Carrying ◽  
Displacement Effects

Numerical results based on the STAGSC-1 finite element computer program are presented for the geometrically nonlinear behavior of cylindrical shells subjected to inward-directed radial point loads. Three elastic shell problems are considered: the poked cylinder (single load at midlength), which is the problem of primary interest, and the venetian blind and pinched cylinder, which are check cases. Load versus displacement curves obtained for the three problems reveal that geometric nonlinear (large displacement) effects are important. For the poked cylinder it is concluded that the maximum at the limit point of the load-displacement curve corresponds to a small local snapping of the cylinder that does not result in a loss of load-carrying capacity. The paper also discusses certain features of STAGSC-1 that should be helpful to users of the program.

On Structural Redundancy in Space Trusses

1988 ◽  
Vol 3 (4) ◽  
pp. 237-241 ◽  
Author(s):  
Ariel Hanaor ◽  
An-Fu Ong
Keyword(s):  
Carrying Capacity ◽  
Collapse Mechanism ◽  
Load Carrying Capacity ◽  
Allowable Stress ◽  
Structural Redundancy ◽  
Critical Elements ◽  
Design Load ◽  
Compression Members ◽  
Load Carrying ◽  
Space Trusses

Static redundancy does not ensure structural redundancy in cases where the collapse mechanism involves instability. Structural redundancy is defined here as the ability of the structure to sustain its design load with the loss of one or more critical elements. The parametric investigations on a square on square double-layer grid presented here, suggests that the loss of one critical member from this type of structure typically entails a loss of 20% to 30% of load carrying capacity. To allow for structural redundancy, as well as for loss of carrying capacity due to the effect of imperfections, it is recommended to reduce compression members' buckling (or allowable) stress by a corresponding value or, alternatively, to perform a suitable analysis.

Zum Tragverhalten von geschraubten Stirnplattenstößen mit elastomerer Trennschicht/Load-carrying capacity of bolted end-plate connections with elastomeric interlayer

Bauingenieur ◽  
2019 ◽  
Vol 94 (02) ◽  
pp. 63-70
Author(s):  
Lutz Nasdala ◽  
Andreas Blust ◽  
Nikolas Jüngel
Keyword(s):  
Carrying Capacity ◽  
Load Carrying Capacity ◽  
End Plate ◽  
Load Carrying ◽  
Eurocode 3 ◽  
Plate Connections

Zusammenfassung Bei der Auslegung von geschraubten Stirnplattenstößen mit elastomerer Trennschicht dürfen gemäß Eurocode 3 lediglich die Flansche für eine Übertragung der Schnittgrößen berücksichtigt werden. Unsere Untersuchungen zeigen, dass auch die Stege für eine Bemessung herangezogen werden sollten. Sie tragen zu einer gleichmäßigeren Spannungsverteilung im Elastomerlager bei und erlauben somit höhere Belastungen bei gleichbleibenden Abmessungen. Basis der FE-Analysen sind ein- und zweiachsige Zug- und Druckversuche, die das komplexe Materialverhalten der elastomeren Trennschicht erfassen. Die Übereinstimmung von Messung und Simulation ist sehr gut, was insbesondere auf das verwendete Materialgesetz zurückzuführen ist: ein nicht-linear viskoelastischer Ansatz in Kombination mit dem hyperelastischen Marlow-Modell. Es hat sich herausgestellt, dass der Reibungskoeffizient und die Querkontraktionszahl des Elastomerlagers maßgeblich das Tragverhalten der geschraubten Stirnplattenstöße beeinflussen.

Influence of Yield Strength Variability over Cross-Section to Steel Beam Load-Carrying Capacity

2005 ◽  
Vol 10 (2) ◽  
pp. 151-160 ◽  
Author(s):  
J. Kala ◽  
Z. Kala
Keyword(s):  
Yield Strength ◽  
Cross Section ◽  
Carrying Capacity ◽  
Bending Moment ◽  
Statistical Characteristics ◽  
Load Carrying Capacity ◽  
Load Carrying ◽  
Strength Variability ◽  
Hot Rolled ◽  
Hot Rolled Steel

Authors of article analysed influence of variability of yield strength over cross-section of hot rolled steel member to its load-carrying capacity. In calculation models, the yield strength is usually taken as constant. But yield strength of a steel hot-rolled beam is generally a random quantity. Not only the whole beam but also its parts have slightly different material characteristics. According to the results of more accurate measurements, the statistical characteristics of the material taken from various cross-section points (e.g. from a web and a flange) are, however, more or less different. This variation is described by one dimensional random field. The load-carrying capacity of the beam IPE300 under bending moment at its ends with the lateral buckling influence included is analysed, nondimensional slenderness according to EC3 is λ¯ = 0.6. For this relatively low slender beam the influence of the yield strength on the load-carrying capacity is large. Also the influence of all the other imperfections as accurately as possible, the load-carrying capacity was determined by geometrically and materially nonlinear solution of very accurate FEM model by the ANSYS programme.

Fuzzy Sets Theory in Comparison with Stochastic Methods to Analyse Nonlinear Behaviour of a Steel Member under Compression

2005 ◽  
Vol 10 (1) ◽  
pp. 65-75 ◽  
Author(s):  
Z. Kala
Keyword(s):  
Fuzzy Sets ◽  
Carrying Capacity ◽  
Stochastic Methods ◽  
Nonlinear Behaviour ◽  
Load Carrying Capacity ◽  
Load Carrying ◽  
Input Parameters ◽  
Stochastic Solution ◽  
Fuzzy Solution ◽  
Sets Theory

The load-carrying capacity of the member with imperfections under axial compression is analysed in the present paper. The study is divided into two parts: (i) in the first one, the input parameters are considered to be random numbers (with distribution of probability functions obtained from experimental results and/or tolerance standard), while (ii) in the other one, the input parameters are considered to be fuzzy numbers (with membership functions). The load-carrying capacity was calculated by geometrical nonlinear solution of a beam by means of the finite element method. In the case (ii), the membership function was determined by applying the fuzzy sets, whereas in the case (i), the distribution probability function of load-carrying capacity was determined. For (i) stochastic solution, the numerical simulation Monte Carlo method was applied, whereas for (ii) fuzzy solution, the method of the so-called α cuts was applied. The design load-carrying capacity was determined according to the EC3 and EN1990 standards. The results of the fuzzy, stochastic and deterministic analyses are compared in the concluding part of the paper.

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