scholarly journals Moment – rotation dependence under fire conditions for steel beam-to-column joint with known flexibility

2013 ◽  
Vol 12 (2) ◽  
pp. 237-244
Author(s):  
Mariusz Maślak ◽  
Małgorzata Snela
Keyword(s):  
Formal Model ◽  
A Priori ◽  
Relative Reduction ◽  
Steel Beam ◽  
Calculation Technique ◽  
Component Approach ◽  
Analogous Relation ◽  
Column Joint ◽  
Additional Approach ◽  
Fire Conditions

Simplified methodology helpful in a reliable specification of moment - rotation dependences characterizing the steel beam-to-column joint flexibility under fully developed fire conditions is presented and discussed in detail. The shape of identified dependences changes with the temperature increase of the members connected in the considered joint. The analogous relation, known a priori and determined for examined joint being under persistent design situation, is adopted as the reference dependence specified on the basis of the classical component approach. In the presented paper the alternative calculation technique, recommended by the authors in this field, deals with the replacement of such reference relation by another one resulted from the use of Richard – Abbott formal model. Furthermore, the additional approach, taken from the standard PN-EN 1993-1-8, is examined for comparative purposes. To transform such input dependence, related to the room member temperature, into the case of fully developed fire scenario it is firstly approximated by suitable segmental curve and afterwards the relative reduction ratios referring to the steel elasticity modulus as well as to the steel yield point, the joint is made of, are taken into consideration. As a result, a number of the requested relations is obtained, differentiated dependently on the assumed member temperature.

scholarly journals Supergraph calculation of one-loop divergences in higher-derivative 6D SYM theory

2020 ◽  
Vol 2020 (8) ◽  
Author(s):  
I. L. Buchbinder ◽  
E. A. Ivanov ◽  
B. S. Merzlikin ◽  
K. V. Stepanyantz
Keyword(s):  
Effective Action ◽  
A Priori ◽  
Coupling Constant ◽  
Harmonic Superspace ◽  
Classical Action ◽  
Higher Derivative ◽  
Component Approach ◽  
Dimensionless Coupling ◽  
The One ◽  
Dimensionless Coupling Constant

Abstract We apply the harmonic superspace approach for calculating the divergent part of the one-loop effective action of renormalizable 6D, $$ \mathcal{N} $$ N = (1, 0) supersymmetric higher-derivative gauge theory with a dimensionless coupling constant. Our consideration uses the background superfield method allowing to carry out the analysis of the effective action in a manifestly gauge covariant and $$ \mathcal{N} $$ N = (1, 0) supersymmetric way. We exploit the regularization by dimensional reduction, in which the divergences are absorbed into a renormalization of the coupling constant. Having the expression for the one-loop divergences, we calculate the relevant β-function. Its sign is specified by the overall sign of the classical action which in higher-derivative theories is not fixed a priori. The result agrees with the earlier calculations in the component approach. The superfield calculation is simpler and provides possibilities for various generalizations.

scholarly journals THE LOGIC AND TOPOLOGY OF KANT’S TEMPORAL CONTINUUM

2018 ◽  
Vol 11 (1) ◽  
pp. 160-206
Author(s):  
RICCARDO PINOSIO ◽  
MICHIEL VAN LAMBALGEN
Keyword(s):  
Mathematical Model ◽  
Natural Science ◽  
Critical Period ◽  
Formal Model ◽  
A Priori ◽  
Pure Reason ◽  
Critique Of Pure Reason ◽  
And Topology ◽  
Transcendental Theory ◽  
Synthetic A Priori

AbstractIn this paper we provide a mathematical model of Kant’s temporal continuum that yields formal correlates for Kant’s informal treatment of this concept in theCritique of Pure Reasonand in other works of his critical period. We show that the formal model satisfies Kant’s synthetic a priori principles for time (whose consistence is not obvious) and that it even illuminates what “faculties and functions” must be in place, as “conditions for the possibility of experience”, for time to satisfy such principles. We then present a mathematically precise account of Kant’s transcendental theory of time—the most precise account to date.Moreover, we show that the Kantian continuum which we obtain has some affinities with the Brouwerian continuum but that it also has “infinitesimal intervals” consisting of nilpotent infinitesimals; these allow us to capture Kant’s theory of rest and motion in theMetaphysical Foundations of Natural Science.While our focus is on Kant’s theory of time the material in this paper is more generally relevant for the problem of developing a rigorous theory of the phenomenological continuum, in the tradition of Whitehead, Russell, and Weyl among others.

FUNCTIONS DEFINED BY REACTION SYSTEMS

2011 ◽  
Vol 22 (01) ◽  
pp. 167-178 ◽  
Author(s):  
ANDRZEJ EHRENFEUCHT ◽  
MICHAEL MAIN ◽  
GRZEGORZ ROZENBERG
Keyword(s):  
Formal Model ◽  
A Priori ◽  
Reaction System ◽  
Transition Function ◽  
Complex Behavior ◽  
Biochemical Reactions ◽  
Reaction Systems ◽  
Available Resources

Reaction systems are a formal model of interactions between biochemical reactions. They consist of sets of reactions, where each reaction is classified by its set of reactants (needed for the reaction to take place), its set of inhibitors (each of which prevents the reaction from taking place), and its set of products (produced when the reaction takes place) – the set of reactants and inhibitors form the resources of the reaction. Each reaction system defines a (transition) function on its set of states. (States here are subsets of an a priori given set of biochemical entities.) In this paper we investigate properties of functions defined by reaction systems. In particular, we investigate how the power of defining functions depends on available resources, and we demonstrate that with small resources one can define functions exhibiting complex behavior.

scholarly journals Steel Beam-Column Joint with Discontinuous Vertical Reinforcing Bars

2015 ◽  
pp. 197-204
Author(s):  
Ju-Yun Hu ◽  
Won-Kee Hong ◽  
Seon-Chee Park ◽  
Jisoon Kim
Keyword(s):  
Load Transfer ◽  
Precast Concrete ◽  
Steel Plates ◽  
Steel Beam ◽  
Test Results ◽  
Reinforcing Bars ◽  
Concrete Frames ◽  
Steel Members ◽  
Column Joint ◽  
In Parenthesis

The authors proposed steel beam-column connections for precast concrete frames in previous studies. The steel-concrete composite frames provided fast assembly time as steels with economy of concrete structures. However, when enough space is not available at column-beam joints steel sections from beams cannot be connected with column brackets. This paper suggests that some vertical reinforcing bars are disconnected at joints by connecting vertical steel reinforcements to steel plates placed above and below column steels to provide load transferring path. Loads from re-bars are transferred to steel plates, column steels and back to steel plates and re-bars below column steels. Re-bars connected to steel plates by bolts at above and below column steel are discontinued at joint to provide spaces for connections between column brackets and beam steels. Extensive experiments were performed to verify load transfer from re-bars to steel plates above joints and steel plates to re-bars below joint. The flexural load bearing capacity of a column with total of 24 vertical re-bars were compared to columns with discontinuous re-bars at joints. The number of discontinuous re-bars at joint used in column specimen was 0 (0.0%), 4 (16.7%), 12 (50.0%), and 20 (83.3%). The numbers in parenthesis are the percentages of discontinuous rebars to the total number of vertical re-bars of control column. Experiments showed how loads from vertical steel reinforcements that were cut off at joints were transferred to steel plate. The test results also demonstrated that a part of flexural capacities were reduced for specimen with discontinuous vertical re-bars. The reduction of 6.0 %, 13.7% and 54.0% of flexural capacities were observed for columns with 4 (16.7%), 12 (50.0%) and 20 (83.3%) discontinuous vertical rebars, respectively. The test results can be used to design vertical reinforcing bars and column joints that can provide space for column brackets to which steel members of beams are connected.

Cyclic loading tests of self-centering prestressed prefabricated steel beam-column joint with weakened FCP

2021 ◽  
pp. 113578
Author(s):  
Zi-Qin Jiang ◽  
Mei-Lin Chen ◽  
Zhong-Shuai Yang ◽  
Xiang-Yuan Li ◽  
Chao Cai
Keyword(s):  
Cyclic Loading ◽  
Steel Beam ◽  
Column Joint ◽  
Loading Tests ◽  
Cyclic Loading Tests

KNOWLEDGE-DRIVEN INTERACTIONS ACROSS MOBILE AD HOC NETWORKS

2007 ◽  
Vol 16 (01) ◽  
pp. 123-153 ◽  
Author(s):  
ROHAN SEN ◽  
RADU HANDOREAN ◽  
GRUIA-CATALIN ROMAN ◽  
GREGORY HACKMANN ◽  
CHRISTOPHER GILL
Keyword(s):  
Ad Hoc Networks ◽  
Mobile Ad Hoc Networks ◽  
Ad Hoc ◽  
Formal Model ◽  
A Priori ◽  
Mobile Host ◽  
Physical Motion ◽  
Mobile Ad Hoc ◽  
Hoc Networks ◽  
The Times

The decoupled nature of computing in mobile ad hoc networks (MANETs) can result in disconnections at inopportune times during an interaction between a pair of hosts. We introduce the notion of a priori selection of partner hosts to reduce the likelihood of disconnection during such interactions. An application may specify the times when and the physical locations where it requires interactions with peer applications on partner hosts. A knowledge base of the physical motion profiles of various hosts maintained on each mobile host is used to select partner hosts that are co-located with the reference host at the required time and are least likely to disconnect. In this paper, we present a formal model for such knowledge management, along with an algorithm used to determine suitable partner hosts. We also provide details of our implementation of partner selection, which has been used in the context of a service-oriented computing middleware for MANETs, developed previously by our group. Finally, we present simulation results of our approach.

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