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Time-dependent analysis of composite and prestressed beams using the slope deflection method

Authorized Users Only
2015
Authors
Deretić-Stojanović, Biljana
Kostić, Svetlana M.
Article (Published version)
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Abstract
The paper presents the viscoelastic analysis of composite and prestressed beams using the slope deflection method. For the fixed-end frame element, considering the viscoelastic behavior of concrete and relaxation of prestressing steel, the integral relation between the generalized element forces and the generalized element displacements, i.e., the element stiffness matrix, is derived and presented using the mathematical operators. From the element and system equilibrium equations, the integral equations of the problem with unknown displacements are formulated. Comparing to the analysis of homogeneous elastic structures, the governing equations of the problem are similar, but with integral equations instead of algebraic equations. In the presented method, the solution to the problem is derived using the linear integral operators without introducing any additional mathematical approximations, apart from the adopted rheological relations for constitute materials. In addition, the obtained... expressions are general in a sense that any concrete creep functions can be used and the element can be with a variable cross section.

Keywords:
Composite beam / Linear integral operators / Viscoelastic analysis / Creep / Shrinkage / Stiffness matrix
Source:
Archive of Applied Mechanics, 2015, 85, 2, 257-272
Publisher:
  • Springer Verlag
Funding / projects:
  • Towards development of sustainable cities: influence of traffic induced vibrations on buildings and humans (RS-36046)

DOI: 10.1007/s00419-014-0917-z

ISSN: 0939-1533

WoS: 000348207900006

Scopus: 2-s2.0-84925517819
[ Google Scholar ]
5
3
URI
https://grafar.grf.bg.ac.rs/handle/123456789/663
Collections
  • Катедра за техничку механику и теорију конструкција
Institution/Community
GraFar
TY  - JOUR
AU  - Deretić-Stojanović, Biljana
AU  - Kostić, Svetlana M.
PY  - 2015
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/663
AB  - The paper presents the viscoelastic analysis of composite and prestressed beams using the slope deflection method. For the fixed-end frame element, considering the viscoelastic behavior of concrete and relaxation of prestressing steel, the integral relation between the generalized element forces and the generalized element displacements, i.e., the element stiffness matrix, is derived and presented using the mathematical operators. From the element and system equilibrium equations, the integral equations of the problem with unknown displacements are formulated. Comparing to the analysis of homogeneous elastic structures, the governing equations of the problem are similar, but with integral equations instead of algebraic equations. In the presented method, the solution to the problem is derived using the linear integral operators without introducing any additional mathematical approximations, apart from the adopted rheological relations for constitute materials. In addition, the obtained expressions are general in a sense that any concrete creep functions can be used and the element can be with a variable cross section.
PB  - Springer Verlag
T2  - Archive of Applied Mechanics
T1  - Time-dependent analysis of composite and prestressed beams using the slope deflection method
EP  - 272
IS  - 2
SP  - 257
VL  - 85
DO  - 10.1007/s00419-014-0917-z
ER  - 
@article{
author = "Deretić-Stojanović, Biljana and Kostić, Svetlana M.",
year = "2015",
abstract = "The paper presents the viscoelastic analysis of composite and prestressed beams using the slope deflection method. For the fixed-end frame element, considering the viscoelastic behavior of concrete and relaxation of prestressing steel, the integral relation between the generalized element forces and the generalized element displacements, i.e., the element stiffness matrix, is derived and presented using the mathematical operators. From the element and system equilibrium equations, the integral equations of the problem with unknown displacements are formulated. Comparing to the analysis of homogeneous elastic structures, the governing equations of the problem are similar, but with integral equations instead of algebraic equations. In the presented method, the solution to the problem is derived using the linear integral operators without introducing any additional mathematical approximations, apart from the adopted rheological relations for constitute materials. In addition, the obtained expressions are general in a sense that any concrete creep functions can be used and the element can be with a variable cross section.",
publisher = "Springer Verlag",
journal = "Archive of Applied Mechanics",
title = "Time-dependent analysis of composite and prestressed beams using the slope deflection method",
pages = "272-257",
number = "2",
volume = "85",
doi = "10.1007/s00419-014-0917-z"
}
Deretić-Stojanović, B.,& Kostić, S. M.. (2015). Time-dependent analysis of composite and prestressed beams using the slope deflection method. in Archive of Applied Mechanics
Springer Verlag., 85(2), 257-272.
https://doi.org/10.1007/s00419-014-0917-z
Deretić-Stojanović B, Kostić SM. Time-dependent analysis of composite and prestressed beams using the slope deflection method. in Archive of Applied Mechanics. 2015;85(2):257-272.
doi:10.1007/s00419-014-0917-z .
Deretić-Stojanović, Biljana, Kostić, Svetlana M., "Time-dependent analysis of composite and prestressed beams using the slope deflection method" in Archive of Applied Mechanics, 85, no. 2 (2015):257-272,
https://doi.org/10.1007/s00419-014-0917-z . .

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